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A VALUATION OF A U.S. REGIONAL BANK’S COMMOM STOCK Sheau-wen Jou B.S., National Taiwan University, Taiwan, 1995 M.S., National Taiwan University, Taiwan, 1997 PROJECT Submitted in partial satisfaction of the requirement for the degree of MASTER OF BUSINESS ADMINISTRATION (Finance) at CALIFORNIA STATE UNIVERSITY, SACRAMENTO FALL 2009

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Page 1: Complete Project Word

A VALUATION OF A U.S. REGIONAL BANK’S COMMOM STOCK

Sheau-wen JouB.S., National Taiwan University, Taiwan, 1995M.S., National Taiwan University, Taiwan, 1997

PROJECT

Submitted in partial satisfaction ofthe requirement for the degree of

MASTER OF BUSINESS ADMINISTRATION(Finance)

at

CALIFORNIA STATE UNIVERSITY, SACRAMENTO

FALL2009

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A VALUATION OF A U.S. REGIONAL BANK’S COMMOM STOCK

A Project

by

Sheau-wen Jou

Approved by:

_____________________________, Committee ChairHao Lin, Ph.D., CFA

__________________________Date

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Student: Sheau-wen Jou 

 I certify that this student has met the requirements for format contained in the University

format manual, and that this Project is suitable for shelving in the Library and credit is to

be awarded for the Project.

 

    

_____________________________________________ _____________________Monica Lam, Ph.D. DateAssociate Dean for Graduate and External Programs    College of Business Administration     

 

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Abstract

of

A VALUATION OF A U.S. REGIONAL BANK’S COMMOM STOCK

by

Sheau-wen Jou

Statement of the Problem

This report analyzes a mid-west regional bank in the U.S. that provides various banking

and financial services to individuals and businesses. We call the bank ABC Bank for the

purposes of confidentiality. To determine the appropriate investment recommendation for

this company, I have applied discounted cash flow valuation and relative valuation

approaches to determine whether its stock is undervalued, overvalued, or fair valued. In

addition, in order to evaluate ABC Bank’s financial strength against unexpected losses, I

have utilized its tier 1 capital and tangible common equity (TCE) ratios to judge its future

viability.

Source of Data

I have analyzed the five-year historical data of ABC Bank’s 10Ks to determine the range

and performance of the major items, such as loan balance, deposit balance, net interest

margin, and efficiency ratios. Then, based on different assumptions of the economy, we

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have developed four scenarios to forecast financial performance over six years to

determine the company’s earning capability and financial position.

In addition, from ABC Bank’s proxy statements, we select other five mid-west regional

banks to estimate ABC Bank stock’s fair value by the price-earnings and the price-to-

book values ratios. The companies’ current stock prices, past year earnings, forecasted

earnings, and book values of their common equities were required for the relative

valuation approach.

Conclusions

Based on the residual income valuation for different scenarios, I estimate ABC Bank’s

weighted average intrinsic value to be $15.87 per share and its target stock price to be

$14.77 per share based on the review of PE multiples. As the economy showed signs of

stabilization as of August 2009, ABC Bank is expected to improve its profitability in

2010. Accordingly, I would suggest that investors buy and hold at the current price of

$10.29 per share and sell when it reaches the target price of $14.77 to $15.87 per share.

Moreover, by forecasting ABC Bank’s tangible common equity ratio under different

scenarios, I determine that the bank has enough financial strength to confront the

unexpected loan losses.

_____________________________, Committee ChairHao Lin, Ph.D., CFA

__________________________Date

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ACKNOWLEDGEMENTS

I would like to express my appreciation to all those who helped me to complete this

project. I would like to thank Jonathan E. Lederer, President of Lederer Private Wealth

Management, LLC for giving me the opportunity to initiate this analysis. He also gave

me a very thorough instruction about the nature of the banking sector and helped me

develop the scenarios for different economic assumptions.

I deeply appreciate my supervisor Prof. Hao Lin at the College of Business

Administration of California State University, Sacramento. He taught the asset valuation

class which stimulated my interests and enhanced my knowledge in this area. He always

gave me very useful suggestions and encouraged me throughout this project.

My English writing tutor, Ann Shadden, and my classmate, Jesse Dias, supported me in

my research work for English style and grammar, correcting both and offering

suggestions for improvement. My best classmate, Rula Shaban, supported me in the

formatting of the document and encouraged me when I was stressed. I would like to

thank them for all their help, support, interest and valuable suggestions.

Finally, I would like to give my special gratitude to my husband David who sponsored

me for the MBA education. Especially, his patience and love helped me to complete this

work.

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TABLE OF CONTENTS

Page

Acknowledgements............................................................................................................vi

List of Tables....................................................................................................................viii

List of Figures.....................................................................................................................ix

Chapter

1. INTRODUCTION.........................................................................................................1

Purpose of the Study................................................................................................1Background of ABC Bank.......................................................................................1

2. METHODOLOGY........................................................................................................3

Fundamental Valuation Approach...........................................................................3Relative Valuation Approach..................................................................................5

3. ASSUMPTIONS............................................................................................................7

Key Items.................................................................................................................7Scenarios................................................................................................................11

4. FUNDAMENTAL VALUATION..............................................................................16

Pro forma Financial Statements.............................................................................16Intrinsic Value Estimation.....................................................................................17The Tangible Common Equity Ratio.....................................................................19

5. RELATIVE VALUATION.........................................................................................21

Price-earnings (PE) ratio........................................................................................21Price-to-book value (PBV) ratio............................................................................21

6. FINDINGS AND INTERPRETATIONS....................................................................23

Bibliography......................................................................................................................41

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LIST OF TABLES

Page

1.

Table 1 Assumptions for loan growth rate and interest rate for each of the four scenarios......................................................................................................................24

2. Table 2 Assumptions for deposit growth rate and interest rate for each of the four scenarios.......................................................................................................25

3. Table 3 Assumptions to estimate provision for loan losses.........................................26

4. Table 4 Predicted earnings summary and selected financial data for scenario 1........27

5. Table 5 Predicted earnings summary and selected financial data for scenario 2........28

6. Table 6 Predicted earnings summary and selected financial data for scenario 3........29

7. Table 7 Predicted earnings summary and selected financial data for scenario 4........30

8. Table 8 Predicted intrinsic value of scenario 1............................................................31

9. Table 9 Predicted intrinsic value of scenario 2............................................................32

10. Table 10 Predicted intrinsic value of scenario 3........................................................33

11. Table 11 Estimated intrinsic values and assigned weight of average for different required rate of return and scenarios............................................................34

12. Table 12 Tier 1 capital ratios and TCE ratios from 2004~2008................................35

13. Table 13 Predicted TCE Ratios for each of the four scenarios..................................36

14. Table 14 ABC Bank’s PE ratio compared to its peer companies..............................37

15. Table 15 ABC Bank’s PBV and price-to-tangible-book value ratios compared to its peer companies.............................................................................................38

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LIST OF FIGURES

Page

1.

Figure 1 Relationship between ABC Bank’s provision for loan losses and Milwaukee ISM rolled forward one quarter (Inverse scale) from 2003 Q1 to 2009 Q2. ......................................................................................................................39

2. Figure 2 Stock performance comparison of ABC Bank, S&P 500 index and regional bank index from 5/1/2009 to 9/1/2009 ........................................................40

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Chapter 1

INTRODUCTION

Purpose of the Study

Due to the financial crisis and economic recession in 2008, U.S. bank failures have

increased dramatically in 2009 as financial institutions continue to work through

nonperforming loans that were made during the credit boom. In order to stabilize the

financial sector after the 2008 subprime mortgage crisis, the U.S. government proposed

the Troubled Asset Relief Program (TARP). This report analyzed a midcap, mid-west

regional bank that received bailout funds from the TARP program, which will be referred

to by the pseudonym, ABC Bank.

I have applied a discounted cash flow valuation approach to determine ABC Bank’s

intrinsic value so that recommendations can be made to buy, hold, or sell its stock. In

addition, I compared its price-earnings ratio and price-to-book value ratio to those of

other banks of its peer group and have analyzed its historical data to determine whether

its stock is undervalued, overvalued, or fair valued. Finally, in order to evaluate the

ability of ABC Bank to pay its debts of all types, I have analyzed its tier 1 capital and

tangible common equity (TCE) ratio to judge its future viability.

Background of ABC Bank

ABC Bank is a mid-west regional bank in the U.S. providing various banking and

financial services to individuals and businesses primarily in Wisconsin, Illinois, and

Minnesota. Banking and wealth management are its two major segments. Banking

includes lending and deposits services to consumers, businesses, and governments and

wealth management includes investment management and advisory services. Its net

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income is the result of net interest income plus noninterest income, and then subtracts

provisions for loan losses, noninterest expenses, and income taxes. In November 2008, it

sold 525,000 shares of preferred stock to the Capital Purchase Program (CPP) under the

Troubled Asset Relief Program (TARP). ABC Bank is listed on NASDAQ and its

market capitalization is $1.32 billion on September 09, 2009.

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Chapter 2

METHODOLOGY

In order to assess an appropriate range of ABC Bank’s equity value, I have conducted a

fundamental valuation approach and a relative valuation approach to determine whether

the ABC Bank’s stock is overvalued, undervalued, or fair valued. The fundamental

valuation approach, also referred to as the discounted cash flow valuation, estimates the

intrinsic value of an asset by evaluating the present value of its expected future cash

flows. In contrast, the relative valuation approach evaluates the value of an asset by

examining the pricing of comparable assets relative to common variables such as

earnings and book value.

Fundamental Valuation Approach

In a fundamental valuation, the intrinsic value of an asset is expressed by the present

value of its future cash flows at an appropriate discount rate. The future cash flows of

equity can be defined as expected dividends paid to shareholders, expected free cash

flows to equity, or projected excess returns by different situations. The appropriate

discount rate is the required rate of return of shareholders or the cost of equity.

For a financial institution, expected dividends and expected residual income are more

appropriate than expected free cash flow to estimate the intrinsic value because it is

difficult to estimate the reinvestment of capital expenditures and working capitals.

However, because of the financial crisis in 2008, ABC bank has faced a significant

decrease of its profit, which caused its management to change its dividend policy.

Therefore, I have employed the residual income model to evaluate ABC Bank’s intrinsic

value.

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Residual income, also referred to as excess returns, is calculated by subtracting the

company’s equity costs from its net income. Using the residual income model, I first

estimated ABC Bank’s earnings and equity book value from 2009 to 2014 based upon

different economic conditions. The equity costs is the equity book value times the

required rate of return. After subtracting the equity costs from the net income, we can

calculate the residual income for each year from 2009 to 2014. Then, ABC Bank’s

intrinsic value was determined by adding the beginning equity book value to the sum of

the present value of residual income for the forecasted time horizon.

The expected future residual income was estimated according to the following steps:

1. Analyzed the five-year historical data of ABC Bank’s 10Ks from U.S. Securities and

Exchange Commission (SEC) filings to determine the range and performance of the

major items, such as loan balance, deposit balance, net interest margin, and efficiency

ratios. The financial statements were downloaded from SEC website

<http://www.sec.gov/>.

2. Set four scenarios to project financial performance over six years to determine the

company’s earning capability under different economic conditions. Assumptions

have been made for interest rates, loan growth, deposit growth, and the provision for

loan losses.

3. Completed interlinked income statements, balance sheet statements, and the

statements of cash flows to estimate the earnings and to make sure the predicted

financial earnings and financial positions are consistent.

4. Subtracted the capital charge from the estimated net income to get the residual

income for each year.

5. According to Dechow, Hutton, and Sloan (1999), residual income fades over time, so

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to determine the value after the forecasted time horizon, a persistence factor was used

to estimate the continuing residual income.

Dechow et al. (1999) suggests the following equation to estimate the intrinsic value by

the residual income model:

(Equation 2.1)

Where B0 is the book value of equity at the beginning time of the analysis, NIt is the net

income earned during the time period t, Bt-1 is the book value of equity at the beginning

period of time t, r is the required rate of return for the equity, and ω is the persistence

factor which is between 0 and 1. Because over time the firm’s net income regresses

toward its equity cost, the persistence factor implies an annual decaying rate of residual

income. Dechow et al. (1999) suggested that the persistence factor equaled 0.62 based on

their research in a large sample of company data from 1976 to 1995.

Relative Valuation Approach

The relative valuation approach is an alternative to evaluate whether an asset is fairly

valued, undervalued, or overvalued when compared to its benchmark or its historical

average. Since operating income and sales or revenues are not easily measurable for a

financial institution, the price-earnings (PE) ratio and the price-to-book value (PBV) ratio

are more appropriate for valuing a financial service firm. These two ratios can be

expressed as below:

PE ratio = Price per share / Earnings per share (Equation 2.2)

PBV ratio = Price per share / Equity book value per share (Equation 2.3)

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In the PE ratio analysis, I used both trailing and forward PE ratios to estimate ABC

Bank’s price range. The earnings per share (EPS) of trailing PE ratio is the accumulated

EPS for the past twelve months while the EPS of forward PE ratio is the estimated future

earning performance. By referring ABC Bank’s proxy statements, I have selected five

regional, mid-west banks to estimate ABC Bank’s fair value by the PE and the PBV

ratios.

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Chapter 3

ASSUMPTIONS

Key Items

Net Interest Income

Net interest income is the major source of ABC Bank’s revenue. It is the difference

between interest income on interest-earning assets and the interest expense on interest-

bearing deposits and other borrowings used to fund the company’s capital. Banks usually

borrow short term funds and lend long term loans. When the shape of the yield curve is

steep, the net interest margin would be higher which would be favorable to the net

interest income. However, if the shape of the yield curve is flat or inverse, the net

interest margin would be lower, which would be unfavorable to the net interest income.

The categories to be analyzed in net interest income are interest income and interest

expenses. Interest income is the sum of interest on loans and interest on investments.

Commercial loan interest, residential mortgage interest and retail loan interest are the

major components of interest on loans. Interest expenses are divided into interest on

deposits and interest on short term borrowing. The interest on loans or deposits in

forecasted time horizon is calculated by the annually average loan balance or deposits

balance times the forecasted interest rates. The average loan/deposit balance can be

simplified as the beginning loan/deposit balances plus the ending loan/deposit balances,

and then divided by two. To project the net interest income, the loan balances and

deposit balances from 10-K in 2008 have been utilized as the base data and the assumed

interest rate and loan/deposit growth rate have been employed for the next six years for

each of the four scenarios. Table 1 presents the assumptions of loan growth rate and

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interest rate on loans for each of the four scenarios from 2009 to 2014. When the

economy is expanding, we assume that the commercial loans, residential mortgages, and

retail loans would grow and the interest rates would gradually increase. In contrast, when

the economy is contracting, we expect that the loans would decrease and the interest rates

would stay low or increase slowly. Table 2 demonstrates the assumptions of deposit

growth rate and interest rate on deposits for each of the four scenarios. In a recovered

and health economy, we assume that the deposits would grow and the interest rates would

gradually increase. On the opposite side, in a contracted economy, we expect the

deposits would stay at the same level of 2008 and the interest rate on deposits would

decrease or stay low.

Provision for Loan Losses

The provision for loan losses is a non-cash charge to earnings which represents the credit

risks for loan portfolios. It is the sum of the change in the allowance for loan losses and

net charge offs. It can be expressed by equation 3.1.

Provision for loan losses(t) = Allowance for loan losses(t) - Allowance for loan losses at

the beginning of the period(t-1) + Net charged off(t) (Equation 3.1)

The allowance for loan losses is the management’s estimate of an amount sufficient to

cover possible credit losses in the loan portfolio on the balance sheet date. It can be

represented as a function of a number of factors, including changes in the loan portfolio,

net charge offs, and nonperforming loans. Net charge offs are the gross amount of loans

charged off as bad debt, less recoveries collected from earlier charge-offs which means

that poor credit quality loans that are not worth keeping on the books are eliminated from

the loan portfolio.

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Because of the financial crisis in 2008, ABC Bank’s provision for loan losses increased

significantly compared to previous years which notably impacted the earnings for 2008

and 2009 first and second quarters. Thus, it is essential to determine the provision for

loan losses to forecast earnings.

Before estimating the provision for loan losses, the allowances for loan losses at the

beginning of the period and the ending of the period and the net charge offs during the

period must be determined. The allowance for loan losses and the net charge offs can be

represented as equations below:

Allowance for loan losses = Allowance for loan losses to total loans * total loans

(Equation 3.2)

Net charge offs = Net charge offs as a percentage of nonperforming loans *

Nonperforming loans (Equation 3.3)

As a result, the ratio of the expected nonperforming loans to total loans, net charge offs as

a percentage of nonperforming loans, and the allowance for loan losses to total loans are

utilized to predict the provision for loan losses. Table 3 presents the expected allowance

for loan losses to total loans, nonperforming loans to total loans, and net charge offs to

nonperforming loans for each of the four scenarios.

Noninterest Income and Noninterest Expenses

The major components of ABC Bank’s noninterest income are trust service fees, service

charges on deposit accounts, card-based and other non-deposit fees, retail commissions,

mortgage banking, bank owned life insurance income, and other income. By observing

ABC Bank’s 10-K, the noninterest income is approximately 40% to 50% of the net

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interest income from 2004 to 2008. Therefore, we assumed that the predicted noninterest

income would be in between 40% to 50% from 2009 to 2014.

ABC Bank’s noninterest expenses include personnel, occupancy, equipment, data

processing, business development and advertising, stationery and supplies, other

intangible asset amortization, courier, legal and professional, foreclosure/OREO, and

other expenses. The efficiency ratio, which is noninterest expense divided by the sum of

taxable equivalent net interest income and noninterest income, is used to evaluate the

operating competence of a bank. By studying ABC Bank’s 10-K, the efficiency ratio is

approximately 48% to 54% from 2004 to 2008. Therefore, we expected that the

noninterest expense from 2009 to 2014 would fluctuate between of 50% to 60% for each

of the four scenarios.

Preferred Stock

In November 2008, ABC Bank sold $525 million of Senior Preferred Stock to the Capital

Purchase Program under the Troubled Asset Relief Program. The investment will have a

dividend rate of 5% per year for the first five years and 9% annually thereafter. While

any Senior Preferred Stock is outstanding, all of its dividends have to be fully paid before

paying out the dividends on the common stock. Therefore, $26,250,000 must be paid

annually from 2009 to 2013 and $47,250,000 must be paid annually from 2014 and

thereafter before any dividends on common stock being distributed.

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Scenarios

To determine the excess returns of ABC Bank, the following four scenarios have been

established to predict the operation performance and equity cost from 2009 to 2014.

Scenario 1

Scenario 1 is the most optimistic case based on the assumption that the economy would

begin to recover starting in the fourth quarter of 2009. In a recovered and healthy

economy businesses would be encouraged to start to borrow for investments, so

commercial loans could be assumed to start growing in 2010. We expected that

residential loan would decrease in 2009 because of refinancing, and then grow at 5%

annually from 2010 to 2014. Retail loans were expected to decrease 5% in 2009 and then

it should grow at 5% annually from 2010 to 2014. Because people have more money to

save, we assumed that deposits would grow gradually and the growth rate of total

deposits would remain from 2% to 3% until 2014.

The yield curve would be steep, which means the spread between long term and short

term Treasuries is more than three percent. Therefore, we predicted that interest rates on

both loans and deposits would gradually increase.

Because we expected solvency of borrowers would be better starting from the fourth

quarter of 2009, the provision for loan losses would gradually drop. We assumed the

allowance for loan losses as a percentage of total loans would increase to 3.00% in 2009,

decrease 0.5% annually for 2010 and 2011, and then stay at the level of 1.5% for the

following year. Nonperforming loans as a percentage of total loans were predicted to

decrease over the forecasted time horizon. Net charge offs to nonperforming loans were

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expected to be 40% in 2009, start to drop annually, and then reach to the level of 20% in

2014.

Scenario 2

Scenario 2 is the moderate case based on the assumption that the economy would begin

to recover starting in 2010. Businesses would start to borrow for investments, so loans

would be assumed to start to grow in 2011. It is assumed that deposits would grow

slowly over the next six years. We expected that residential loan growth rates would

decrease 6% in 2009 because of refinancing, and then gradually grow from 2010 to 2014.

Retail loans were expected to decreases 7% in 2009 and then it should grow at 3%

annually from 2010 to 2014. Because people have more money to save, we assumed that

deposits would grow gradually and that the growth rate of total deposits would remain at

2% to 3% until 2014. However, because people are more conservative during the

recession year, deposits grow 9.00% in 2009. As the economic prediction gets more

optimistic, deposits are assumed to grow slowly at 0.75% for the following years.

The yield curve would be steep, but both short term and long term interest rates would

increase more slowly than scenario one. We assumed the commercial loan interest rates

would be 6.00% in 2009, and then step up a quarter of percentage to 6.25% in 2010, and

then stay at 6.50% until 2014. Residual loan interest rates are assumed to be 5.5% in

2009, and then increase a quarter of percentage to 5.75% in 2010, and keep at 6.00% until

2014. We expected retail loan interest rate would be 6.20% in 2009, 6.50% in 2010, and

keep at 6.75% for the following years. We assumed that the interest rates on deposits

would be approximately 1.50% in 2009, 1.75% in the 2010, and then stay at the 2.00%

level from 2011 to 2014.

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Because the solvency of borrowers was expected to be better in 2010 or later, the

provision for loan losses would stay similar for the next two years then start to decrease.

We assumed that the allowance for loan losses as a percentage of total loans would

increase to 3.50% in 2009, then gradually decrease from 2010 to 2014. Nonperforming

loans as a percentage of total loans were predicted to be 5.00%, 4.50%, 4.00%, 3.00%,

3.00%, and 2.00% from 2009 to 2014. We expected that net charge offs to

nonperforming loans would be in the range of 40% to 45% in this scenario.

Scenario 3

Scenario 3 is the slow recovery case based on the assumption that the economy begin to

recover in 2011. Businesses would be still conservative about borrowing for investment

so the loan growth would be negative then start to grow in 2011. We assumed that

commercial loans would decrease 7% in 2009, 5% in 2010, and then grow at 2% annually

from 2011 to 2014. We expected that residential loans and retail loans would decrease in

2009 and 2010, and then grow slowly from 2011 to 2014. Deposits were expected to stay

at the same level for three more years and then start to grow in 2012.

The yield curve was expected to be normal and both short term and long term interest

rates would continue to drop then slowly increase starting in 2011. We assumed that

interest rates on commercial loans and residual loans would drop in 2009 and 2010, and

then gradually increase from 2011 to 2014. Retail loans interest rates were assumed to

drop from 2009 to 2011, then gradually increase from 2012 to 2014. We expected that

interest rates on deposits would decrease from 2009 to 2011, and then reach 3% in 2014.

Because the solvency of borrowers would be still unfavorable in 2009 and 2010, the

provision for loan losses would stay at a higher level until 2011 then start to decline. We

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assumed that the allowance for loan losses as a percentage of total loans would increase

to 4.00% in 2009 and 2010, decrease 0.5% annually from 2011 to 2013, and reach 1.75%

in 2014. Nonperforming loans as a percentage of total loans were predicted to plateau at

5.5% in 2009 and 2010, and then gradually decrease to 2.5% in 2014. We expected that

net charge offs to nonperforming loans would be 40% in 2009, jump to 60% in 2010,

decrease to 50% in 2011, and then stay at 40% for the following years.

Scenario 4

Scenario 4 is the most pessimistic case based on the assumption that the economy would

not recover for at least six years. This scenario was designed to examine under the worst

condition, how long the company could survive without raising extra funds.

We assumed that businesses would still be conservative concerning borrowing for

investments, so there would be no loan growth from 2009 to 2014. We assumed that

commercial loans would decrease 9% in 2009, 5% in 2010, and then continue to decrease

3% annually until 2014. Residential loans were expected to decline 10% in 2009, and

then continue to decrease 5% annually until 2014. We predicted that retail loans would

decreases 10% in 2009, and continue to decrease 5% annually for the following years.

Deposits were assumed to stay at the current level from 2009 to 2014.

We assumed that the yield curve would be flat and both short term and long term interest

rates would continue to drop and stay low. Therefore, we expected that interest rates on

commercial loans, residual loans, and retail loans would continue to drop through the

forecasted time horizon. Interest rates on deposit were expected to be 1.50% in 2009,

1.25% in 2010 and stay at the 1.00% level for the following years.

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As we assumed that the solvency of borrowers would still be unfavorable through the

forecasted time horizon, the provision for loan losses would continually increase over the

next six years. We expected that the allowance for loan losses as a percentage of total

loans would jump to 5.00% in 2009, and increase 1% annually for the following years.

We also assumed that nonperforming loans as a percentage of total loans would continue

to increase from 2009 to 2014. Net charge offs to nonperforming loans were expected to

be 40% in 2009, jump to 60% and 70% in 2010 and 2011, and then remain at 75% for the

following years.

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Chapter 4

FUNDAMENTAL VALUATION

Pro forma Financial Statements

To predict future financial earnings and the book value of equity, we have completed

interlinked income statements, balance sheet statements, and the statements of cash

flows. By observing the historical income statements, the effective tax rate was assumed

to be in the range of 25% to 30%. We also assumed that the investment securities as 35%

of loan balances, other assets as 3.5% of total assets, and accrued expenses and other

liabilities are as 2.00% of total liabilities. In addition, in order to eliminate the effect of

changing dividend policy, dividend payouts were assumed to be $0.20 per share for the

forecasted time horizon for each of the four scenarios.

Table 4 represents the selected forecasted earnings summary and financial data for

scenario 1. Even though the net interest income was predicted to increase in 2009,

because of the rising of provision for loan losses, the net income was predicted to

decrease. However, as the economy was expected to recover from the fourth quarter of

2009, the net income was forecasted to increase in 2010. The EPS was expected to be

$0.02, $2.18, $2.77, $2.95, $2.67, and $2.95, and the book value per share was predicted

to be $18.39, $20.38, $22.96, $25.71, $28.17, and $30.92 from 2009 to 2014.

Table 5 corresponds to the selected forecasted earnings summary and financial data for

scenario 2. Because the economic condition in 2009 was assumed to be weaker, the

increased provision for loan losses would impair the profitability and ABC Bank was

expected to face a net loss. As the economy is assumed to be recovering, the provision

for loan losses was expected to decrease and the net income is expected to be positive

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from the 2010. The EPS was expected to be -$0.51, $1.14, $1.42, $2.24, $2.31, and

$2.35, and the book value per share was predicted to be $17.86, $18.80, $20.02, $22.07,

$24.17, and $26.32 from 2009 to 2014.

Table 6 describes the selected forecasted earnings summary and financial data for

scenario 3. The economy was assumed to be recovering starting from 2011, so ABC

Bank was expected to confront a net loss for 2009 and 2010. We expected that the

provision for loan losses would decrease and the net income would be positive from

2011. The EPS was expected to be-$1.79, -$0.68, $1.12, $1.69, $1.88, and $1.43, and the

book value per share was predicted to be $16.59, $15.71, $16.63, $18.12, $19.79, and

$21.02 from 2009 to 2014.

Table 7 represents the selected forecasted earnings summary and financial data for

scenario 4. The economy was assumed to deteriorate over the forecasted time horizon.

We expected that the provision for loan losses would destroy the profitability and equity

value of ABC Bank. In this scenario, it is predicted that ABC Bank would fail to meet

the minimum capital requirement of 8% in 2011 or 2012 during the forecasted time

horizon.

Intrinsic Value Estimation

The intrinsic value of residual income was calculated by Equation 2.1, which represents

the beginning book value plus the summation of the present value of net income less the

equity charge. This figure is then added to the present value of terminal value. The

beginning book value of equity is the value at the end of 2008. Net incomes for each

period of the forecasted time horizon for each of the scenarios were derived from the pro

forma income statements. Equity charges for each period were determined by

multiplying the estimated book value of equity at the beginning of the period by the cost

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of equity or the required rate of return. The terminal value was calculated by subtracting

the equity charge from the net income of the last period. This figure was then divided by

one plus required rate of return less the persistence factor.

Because of the financial crisis in 2008, ABC Bank’s stock prices fluctuated from the

previous twelve months, so the market required rate of return has been utilized instead of

the company’s required rate of return. By referring to Damodaran’s analysis of historical

equity risk premium and the current ten year U.S. Treasury Bonds rate, the required rate

of return to analyze ABC Bank’s equity value was estimated to be in the range of 8% to

10%.

Table 8 demonstrates the calculation of the intrinsic values of ABC Bank at various

discount rates for scenario 1 and the suggested range of intrinsic value is $18.36 to

$20.94. Table 9 demonstrates the calculation of the intrinsic values of ABC Bank at

various discount rates for scenario 2 and the suggested range of intrinsic value is $15.63

to $17.80. Table 10 demonstrates the calculation of the intrinsic values of ABC Bank at

various discount rates for scenario 3 and the suggested range of intrinsic value is $12.30

to $14.00. In scenario 4, because the negative earnings were expected to continue over

the forecasted time horizon which was projected to erode the equity value, the intrinsic

value was estimated to be $0.

According to the Summary of Commentary on Current Economic Conditions of August

2009 by the Federal Reserve District, overall economic activity in the Minneapolis area

was transformed from contracted to flat. Therefore, the economy is expected to begin to

recover starting at the end of 2009 or the starting of 2010. In addition, the current shape

of the yield curve is steep sloped, which is favorable to ABC Bank’s net interest margin.

Moreover, Figure 1 demonstrates that ABC Bank’s provision for loan losses and the

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ISM-Milwaukee index rolled forward one quarter are highly negative correlated with a

correlation coefficient of -0.81. The ISM-Milwaukee index is the manufacturing index

for Milwaukee which indicates the business activity in the Milwaukee, Wisconsin region.

As the ISM-Milwaukee index started to rally from the second quarter of 2009, I expected

the provision for loan losses of ABC Bank would gradually decrease from the end of

2009 or the beginning of 2010. Based on the observations above, the weight assigned to

scenario 2 is 50%. The weight for scenario 1 and scenario 3 are 25% and 20%. The

probability of the economy remaining contracted for more than six years is extremely

low, so the weight assigned to the scenario 4 is 5%. The assigned weight for each

scenario and discount rate were given in Table 11 and the weighted average of ABC

Bank’s intrinsic value is $15.87 per share.

The Tangible Common Equity Ratio

ABC Bank is subject to regulatory capital requirements administered by the federal

regulators. The regulation defines the tier 1 capital ratio as the measure of a bank’s

ability to provide protection against unexpected losses, which is represented as the ratio

of a banks equity capital to its total assets. Failure to meet minimum tier 1 capital

requirements could result in certain mandatory actions by regulators, which could have a

direct material effect on the rights of its common shareholders. ABC Bank’s minimum

requirement for the tier 1 risk-based capital ratio is 8%. In Table 12, the historical tier 1

risk-based capital ratios are 9.64%, 9.73%,9.42%, 9.06%, and 11.91% from 2004 to

2008, which suggests ABC Bank may have the enough financial strength to confront the

unexpected losses.

However, since common equity provides a cushion against credit losses, the tangible

common equity (TCE) ratio is a better measure of solvency than the tier 1 capital ratio.

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The TCE ratio is tangible common equity divided by tangible assets. For a regional

bank, a ratio of the level at 5% is suggested to be adequate. In Table 12, ABC Bank’s

TCE ratio is in between 5.86% to 6.36% from 2004 to 2008. We also calculated the TCE

ratio for each of the four scenarios in order to predict ABC Bank’s future solvency. In

the most optimistic scenario, the TCE ratios are expected to maintain at a higher level for

the following six years. In the moderate recovery scenario, the TCE ratios are expected

to decrease in 2009 and then start to improve and maintain at a higher level from 2010.

In the slow recovery scenario, the TCE ratios are expected to fall below 5% in the first

three years and then start to improve after 2012. In the most pessimistic scenario, the

TCE ratios are expected to fall below 5% for every year of the forecasted time horizon

and the tangible common equity is expected to be negative, so ABC Bank is not expected

to be viable in this scenario. From the analysis of the four scenarios, it is suggested that

except the extremely unfavorable economic condition, ABC Bank would have enough

cushion against its credit losses.

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Chapter 5

RELATIVE VALUATION

Price-earnings (PE) ratio

Table 14 lists ABC Bank and its peer companies’ price on September 09, 2009, the EPS

from third quarter of 2008 to second quarter of 2009, the estimated EPS for 2009 and

2010, and the corresponding price-earnings (PE) multiples. First, the average trailing PE

ratio of peer companies was 19.64x with a median of 17.78x while ABC Bank’s trailing

PE was 20.58x, which indicated that the price of $10.29 was overvalued based on the past

four quarter’s earnings. Based on its past EPS, ABC Bank’s price was suggested to be

$9.8 per share. However, since the stock price reflects the investors’ expectation of its

future profitability, the forward PE ratio is also an important indicator. According to the

estimation data on September 09, 2009 of analysts’ expected EPS at the end of 2010

<http://finance.yahoo.com>, the average forward PE ratio of peer companies was 16.41x

with a median of 15.93x. Based on the scenario analysis, ABC Bank’s weighted average

estimated EPS at the end of 2010 was expected to be $0.90, so its target price was

suggested to be $14.77 per share to reflect the potential of future earnings.

Price-to-book value (PBV) ratio

Table 15 lists ABC Bank and its peer companies’ price on September 09, 2009, the book

value per share, the tangible book value (the book value less goodwill and other

intangible assets) per share, and the corresponding price-to-book value (PBV) multiples.

The book values and tangible book value per share of the second quarter of 2009 were

acquired from company SEC 10-Q filings. The average PBV ratio of peer companies

was 1.14x with a median of 1.09x while ABC Bank’s PBV ratio was 0.55x. In addition,

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the average price-to-tangible-book value ratio of peer companies was 1.96x with a

median of 1.62x while ABC Bank’s PBV ratio was 0.95x. Based on both the PBV and

price-to-tangible-book value ratios, ABC Bank was undervalued and the suggested price

was approximately $21.20. One reason for ABC Bank’s underestimated price may be its

low return on equity (ROE) because the PBV ratio of a firm in a stable growth stage can

be determined by the differential between its ROE and its required rate of return.

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Chapter 6

FINDINGS AND CONCLUSIONS

Based on the residual income valuation, I estimate ABC Bank’s intrinsic value to be

$15.87 per share, and its target stock price to be $14.77 per share based on the review of

PE multiples. During the research period of this project (5/1/2009 to 9/9/2009), ABC

Bank’s stock price ranged from $8.92 to $19.09 per share and the current price was

$10.29 per share on 9/9/2009.

As Figure 2 demonstrates, ABC Bank’s stock price performance was relatively weaker

than the S&P 500 index and the KRE (regional bank index) during the period of this

project. The possible reasons could be the announcement of a net loss in the second

quarter and the high turnover rate of top management in August 2009. In addition,

according to the Summary of Commentary on Current Economic Conditions of August

2009 by the Federal Reserve District, the commercial real estate markets continued to

soften and investors may also have questioned whether the bank had allocated a sufficient

allowance or declared an adequate provision for loan losses.

However, as the economy showed signs of stabilization as of August 2009, it is

anticipated to rebound from the state of recession. As long as ABC Bank can fulfill its

capital requirements, it is expected to improve its profitability in 2010. And though

profitability should greatly improve from 2009 conditions, it is not expected to reach the

level of 2008 performance until 2011 or later. Accordingly, I would suggest that

investors buy and hold at the current price of $10.29 per share and sell when it reaches

the target price of $14.77 to $15.87 per share.

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Table 1 Assumptions for loan growth rate and interest rate for each of the four scenarios

2009 2010 2011 2012 2013 2014

Commercial Loans

Growth rate

Scenario 1 -4.00% 5.00% 5.00% 5.00% 5.00% 5.00%

Scenario 2 -5.00% 3.00% 2.00% 2.00% 2.00% 2.00%

Scenario 3 -7.00% -5.00% 2.00% 2.00% 2.00% 2.00%

Scenario 4 -9.00% -5.00% -3.00% -3.00% -3.00% -3.00%

Interest rate

Scenario 1 6.00% 7.00% 8.00% 8.50% 9.00% 9.50%

Scenario 2 6.00% 6.25% 6.50% 6.50% 6.50% 6.50%

Scenario 3 5.50% 5.25% 6.00% 6.25% 6.50% 6.50%

Scenario 4 5.50% 5.25% 5.00% 4.75% 4.50% 4.25%

Residential

MortgagesGrowth rate

Scenario 1 -4.00% 3.00% 3.00% 3.00% 3.00% 3.00%

Scenario 2 -6.00% 1.00% 2.00% 3.00% 3.00% 3.00%

Scenario 3 -8.00% -3.00% 2.00% 2.00% 3.00% 3.00%

Scenario 4 -10.00% -5.00% -5.00% -5.00% -5.00% -5.00%

Interest rate

Scenario 1 5.50% 6.00% 6.50% 7.50% 8.50% 9.50%

Scenario 2 5.50% 5.75% 6.00% 6.00% 6.00% 6.00%

Scenario 3 5.00% 4.75% 5.00% 5.50% 6.00% 6.50%

Scenario 4 5.00% 4.75% 4.50% 4.25% 4.00% 3.75%

Retail Loans

Growth rate

Scenario 1 -5.00% 5.00% 5.00% 5.00% 5.00% 5.00%

Scenario 2 -7.00% 3.00% 3.00% 3.00% 3.00% 3.00%

Scenario 3 -8.00% -3.00% 3.00% 3.00% 3.00% 3.00%

Scenario 4 -10.00% -5.00% -5.00% -5.00% -5.00% -5.00%

Interest rate

Scenario 1 6.20% 7.00% 8.00% 8.50% 9.00% 9.50%

Scenario 2 6.20% 6.50% 6.75% 6.75% 6.75% 6.75%

Scenario 3 6.20% 6.00% 5.80% 6.50% 6.75% 6.75%

Scenario 4 6.20% 6.00% 5.80% 5.60% 5.40% 5.20%

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Table 2 Assumptions for deposit growth rate and interest rate for each of the four scenarios

2009 2010 2011 2012 2013 2014

Interest-bearing

Deposits, exclude

brokered CDs

Growth rate

Scenario 1 3.00% 3.00% 3.00% 3.00% 3.00% 3.00%

Scenario 2 8.00% 1.00% 1.00% 1.00% 1.00% 1.00%

Scenario 3 0.00% 0.00% 0.00% 3.00% 3.00% 3.00%

Scenario 4 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%

Interest rate

Scenario 1 1.50% 2.00% 3.00% 4.00% 5.00% 5.50%

Scenario 2 1.50% 1.75% 2.00% 2.00% 2.00% 2.00%

Scenario 3 1.50% 1.25% 1.00% 1.25% 2.00% 3.00%

Scenario 4 1.50% 1.25% 1.00% 1.00% 1.00% 1.00%

Brokered CDs

Growth rate

Scenario 1 0.00% -10.00% -10.00% -5.00% -5.00% -5.00%

Scenario 2 50.00% -3.00% -3.00% -3.00% -3.00% -3.00%

Scenario 3 0.00% 0.00% 0.00% -5.00% -5.00% -5.00%

Scenario 4 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%

Interest rate

Scenario 1 2.50% 3.50% 4.50% 5.50% 6.50% 7.00%

Scenario 2 2.50% 2.75% 3.00% 3.00% 3.00% 3.00%

Scenario 3 2.00% 1.50% 2.00% 2.50% 3.50% 4.50%

Scenario 4 2.00% 1.50% 1.50% 1.50% 1.50% 1.50%

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Table 3 Assumptions to estimate provision for loan losses

2009 2010 2011 2012 2013 2014

Allowance for loan losses to total loans

Scenario 1 3.00% 2.50% 2.00% 1.50% 1.50% 1.50%

Scenario 2 3.50% 3.25% 3.00% 2.50% 2.00% 1.75%

Scenario 3 4.00% 4.00% 3.00% 2.50% 2.00% 1.75%

Scenario 4 5.00% 6.00% 7.00% 8.00% 9.00% 10.00%

Nonperforming loans to total loans

Scenario 1 4.50% 3.50% 3.00% 2.50% 2.00% 1.50%

Scenario 2 5.00% 4.50% 4.00% 3.00% 3.00% 2.00%

Scenario 3 5.50% 5.50% 4.50% 3.50% 3.00% 2.50%

Scenario 4 6.00% 6.50% 7.00% 7.50% 8.00% 8.00%

Net charge offs to nonperforming loans

Scenario 1 40.00% 35.00% 30.00% 30.00% 25.00% 20.00%

Scenario 2 40.00% 45.00% 45.00% 40.00% 40.00% 40.00%

Scenario 3 40.00% 60.00% 50.00% 45.00% 40.00% 40.00%

Scenario 4 40.00% 60.00% 70.00% 75.00% 75.00% 75.00%

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Table 4 Predicted earnings summary and selected financial data for scenario 1

2008 2009 2010 2011 2012 2013 2014

Earnings summary

Interest income $1,127 $1,144 $1,325 $1,576 $1,776 $1,934 $2,105

Interest expenses -$431 -$355 -$475 -$641 -$835 -$1,019 -$1,140

Net interest income $696 $789 $850 $935 $941 $915 $965

Provision for loan losses -$202 -$489 -$136 -$84 -$58 -$104 -$71

Net interest income after

provision for loan losses$494 $300 $714 $851 $883 $811 $894

Noninterest income $286 $316 $340 $374 $376 $366 $386

Noninterest expenses -$557 -$574 -$618 -$681 -$685 -$653 -$675

Pretax Income $223 $42 $436 $544 $574 $523 $604

Income tax expense -$54 -$12 -$130 -$163 -$172 -$157 -$181

Net income $169 $30 $306 $381 $402 $366 $423

Preferred dividends -3 -$26 -$26 -$26 -$26 -$26 -$47

Net income to common equity $164 $4 $280 $355 $376 $340 $376

Shares outstanding 128 128 128 128 128 128 128

EPS $1.30 $0.02 $2.18 $2.77 $2.95 $2.67 $2.95

Selected financial data

Year end balance

Loans $16,284 $15,595 $16,332 $17,105 $17,914 $18,763 $19,653

Allowance for loan losses -$265 -$468 -$408 -$342 -$269 -$281 -$295

Loans, net $16,019 $15,127 $15,924 $16,763 $17,646 $18,482 $19,358

Total Assets $24,192 $24,711 $25,387 $26,166 $27,024 $27,868 $28,768

Deposits $15,155 $15,586 $15,951 $16,337 $16,776 $17,230 $17,701

Total Liabilities $21,316 $21,858 $22,281 $22,731 $23,239 $23,768 $24,318

Senior preferred stock $508 $508 $508 $508 $508 $508 $508

Common shareholder’s equity $2,368 $2,345 $2,598 $2,927 $3,277 $3,592 $3,942

Total shareholders’ equity $2,876 $2,853 $3,106 $3,435 $3,785 $4,100 $4,450

Book Value per share $18.53 $18.39 $20.38 $22.96 $25.71 $28.17 $30.92

Cash flows data

Cash flow from operating $438 $555 $477 $502 $497 $508 $531

(In millions dollars, except per share data)

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Table 5 Predicted earnings summary and selected financial data for scenario 2

2008 2009 2010 2011 2012 2013 2014

Earnings summary

Interest income $1,127 $1,139 $1,195 $1,269 $1,288 $1,308 $1,330

Interest expenses -$431 -$361 -$419 -$470 -$472 -$475 -$478

Net interest income $696 $778 $776 $799 $816 $833 $852

Provision for loan losses -$202 -$589 -$291 -$258 -$125 -$126 -$102

Net interest income after

provision for loan losses$494 $189 $485 $541 $691 $707 $750

Noninterest income $286 $286 $295 $312 $326 $333 $341

Noninterest expenses -$557 -$533 -$535 -$555 -$571 -$583 -$596

Pretax Income $223 -$58 $245 $298 $446 $457 $495

Income tax expense -$54 $17 -$73 -$89 -$134 -$137 -$148

Net income $169 -$41 $172 $209 $312 $320 $347

Preferred dividends -3 -$26 -$26 -$26 -$26 -$26 -$47

Net income equity $166 -$67 $146 $183 $286 $294 $300

shares outstanding 128 128 128 128 128 128 128

EPS $1.30 -$0.51 $1.14 $1.42 $2.24 $2.31 $2.35

Selected financial data

Year end balance

Loans $16,284 $15,373 $15,792 $16,144 $16,525 $16,915 $17,315

Allowance for loan losses -265 -538 -513 -484 -413 -338 -303

Loans, net $16,019 $14,835 $15,279 $15,660 $16,112 $16,577 $17,012

Total Assets $24,192 $25,484 $25,767 $26,089 $26,518 $26,958 $27,405

Deposits $15,155 $16,501 $16,627 $16,755 $16,885 $17,018 $17,153

Total Liabilities $21,316 $22,699 $22,862 $23,028 $23,197 $23,368 $23,542

Senior preferred stock $508 $508 $508 $508 $508 $508 $508

Common shareholder’s equity $2,368 $2,277 $2,397 $2,553 $2,813 $3,082 $3,355

Total shareholders’ equity $2,876 $2,785 $2,905 $3,061 $3,321 $3,590 $3,863

Book Value per share $18.58 $17.86 $18.80 $20.02 $22.07 $24.17 $26.32

Cash flows data

Cash flow from operating $438 $587 $498 $503 $474 $483 $485

(In millions dollars, except per share data)

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Table 6 Predicted earnings summary and selected financial data for scenario 3

2008 2009 2010 2011 2012 2013 2014

Earnings summary

Interest income $1,127 $1,064 $977 $1,058 $1,148 $1,248 $1,350

Interest expenses -$431 -$348 -$287 -$271 -$361 -$491 -$678

Net interest income $696 $716 $690 $787 $787 $757 $672

Provision for loan losses -$202 -$683 -$461 -$193 -$143 -$115 -$124

Net interest income after

provision for loan losses$494 $33 $229 $594 $644 $642 $548

Noninterest income $286 $272 $248 $299 $299 $295 $269

Noninterest expenses -$557 -$593 -$563 -$652 -$597 -$557 -$489

Pretax Income $223 -$288 -$86 $241 $346 $380 $328

Income tax expense -$54 $86 $25 -$72 -$103 -$114 -$98

Net income $169 -$202 -$60 $169 $243 $266 $230

Preferred dividends -3 -$26 -$26 -$26 -$26 -$26 -$47

Net income equity $164 -$228 -$86 $143 $217 $240 $183

shares outstanding 128 128 128 128 128 128 128

EPS $1.30 -$1.79 -$0.68 $1.12 $1.69 $1.88 $1.43

Selected financial data

Year end balance

Loans $16,284 $15,085 $14,440 $14,762 $15,091 $15,449 $15,815

Allowance for loan losses -$265 -603 -578 -443 -377 -309 -277

Loans, net $16,019 $14,481 $13,862 $14,319 $14,714 $15,140 $15,538

Total Assets $24,192 $24,050 $23,803 $23,920 $24,552 $25,229 $25,868

Deposits $15,155 $15,155 $15,155 $15,155 $15,545 $15,953 $16,374

Total Liabilities $21,316 $21,427 $21,292 $21,292 $21,734 $22,197 $22,680

Senior preferred stock $508 $508 $508 $508 $508 $508 $508

Common shareholder’s equity $2,368 $2,115 $2,003 $2,120 $2,310 $2,524 $2,680

Total shareholders’ equity $2,877 $2,623 $2,511 $2,628 $2,818 $3,032 $3,188

Book Value per share $18.53 $16.59 $15.71 $16.63 $18.12 $19.79 $21.02

Cash flows data

Cash flow from operating $438 $518 $438 $399 $422 $418 $390

(In millions dollars, except per share data)

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Table 7 Predicted earnings summary and selected financial data for scenario 4

2008 2009 2010 2011 2012 2013 2014

Earnings summary

Interest income $1,127 $1,059 $967 $911 $863 $819 $779

Interest expenses -$431 -$348 -$288 -$231 -$221 -$221 -$221

Net interest income $696 $711 $679 $678 $642 $598 $558

Provision for loan losses -$202 -$845 -$665 -$778 -$840 -$852 -$816

Net interest income after

provision for loan losses$494 -$134 $14 -$100 -$198 -$254 -$258

Noninterest income $286 $355 $340 $340 $321 $299 $279

Noninterest expenses -$557 -$608 -$612 -$612 -$578 -$538 -$502

Pretax Income $223 -$387 -$258 -$372 -$455 -$493 -$481

Income tax expense -$54 $115 $76 $111 $136 $148 $144

Net income $169 -$272 -$182 -$261 -$319 -$345 -$337

Preferred dividends -3 -$26 -$26 -$26 -$26 -$26 -$47

Net income equity $164 -$298 -$208 -$287 -$345 -$371 -$384

shares outstanding 128 128 128 128 128 128 128

EPS $1.30 -$2.33 -$1.61 -$2.24 -$2.70 -$2.91 -$3.01

Selected financial data

Year end balance

Loans $16,284 $14,759 $14,021 $13,499 $12,997 $12,515 $12,053

Allowance for loan losses -$265 -738 -841 -945 -1,040 -1,126 -1,205

Loans, net $16,019 $14,021 $13,180 $12,554 $11,957 $11,389 $10,848

Total Assets $24,192 $23,981 $23,615 $23,180 $22,697 $22,198 $21,695

Deposits $15,155 $15,155 $15,155 $15,155 $15,155 $15,155 $15,155

Total Liabilities $21,316 $21,427 $21,297 $21,168 $21,055 $20,953 $20,860

Senior preferred stock $508 $508 $508 $508 $508 $508 $508

Common shareholder’s equity $2,368 $2,046 $1,810 $1,504 $1,134 $737 $327

Total shareholders’ equity $2,877 $2,554 $2,318 $2,012 $1,642 $1,245 $835

Book Value per share $18.53 $16.05 $14.23 $11.80 $8.89 $5.78 $2.57

Cash flows data

Cash flow from operating $438 $612 $522 $556 $559 $544 $516

(In millions dollars, except per share data)

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Table 8 Predicted intrinsic value of scenario 1

2009 2010 2011 2012 2013 2014

Required rate of return = 8%, Persistence factor = 0.62

Beginning book value $18.53 $18.34 $20.31 $22.89 $25.63 $28.09

Net income $0.02 $2.18 $2.77 $2.94 $2.66 $2.94

Cost of equity $1.48 $1.47 $1.63 $1.83 $2.05 $2.25

Excess return -$1.46 $0.71 $1.15 $1.11 $0.61 $0.69

PV of excess return -$1.35 $0.61 $0.91 $0.81 $0.41

PV of terminal value $1.02

= $20.94

Required rate of return = 9%, Persistence factor = 0.62

Beginning book value $18.53 $18.34 $20.31 $22.89 $25.63 $28.09

Net income $0.02 $2.18 $2.77 $2.94 $2.66 $2.94

Cost of equity $1.67 $1.65 $1.83 $2.06 $2.31 $2.53

Excess return -$1.65 $0.52 $0.95 $0.88 $0.35 $0.41

PV of excess return -$1.51 $0.44 $0.73 $0.62 $0.23

PV of terminal value $0.57

= $19.60

Required rate of return = 10%, Persistence factor = 0.62

Beginning book value $18.53 $18.34 $20.31 $22.89 $25.63 $28.09

Net income $0.02 $2.18 $2.77 $2.94 $2.66 $2.94

Cost of equity $1.85 $1.83 $2.03 $2.29 $2.56 $2.81

Excess return -$1.83 $0.34 $0.74 $0.65 $0.10 $0.13

PV of excess return -$1.67 $0.28 $0.56 $0.44 $0.06

PV of terminal value $0.17

= $18.36

(Per share data)

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Table 9 Predicted intrinsic value of scenario 2

2009 2010 2011 2012 2013 2014

Required rate of return = 8%, Persistence factor = 0.62

Beginning book value $18.53 $17.81 $18.74 $19.96 $22.00 $24.10

Net income -$0.51 $1.13 $1.42 $2.24 $2.30 $2.34

Cost of equity $1.48 $1.42 $1.50 $1.60 $1.76 $1.93

Excess return -$1.99 -$0.29 -$0.08 $0.64 $0.54 $0.41

PV of excess return -$1.85 -$0.25 -$0.06 $0.47 $0.37

PV of terminal value $0.61

= $17.8

Required rate of return = 9%, Persistence factor = 0.62

Beginning book value $18.53 $17.81 $18.74 $19.96 $22.00 $24.10

Net income -$0.51 $1.13 $1.42 $2.24 $2.30 $2.34

Cost of equity $1.67 $1.60 $1.69 $1.80 $1.98 $2.17

Excess return -$2.18 -$0.47 -$0.27 $0.44 $0.32 $0.17

PV of excess return -$2.00 -$0.40 -$0.21 $0.31 $0.21

PV of terminal value $0.23

= $16.67

Required rate of return = 10%, Persistence factor = 0.62

Beginning book value $18.53 $17.81 $18.74 $19.96 $22.00 $24.10

Net income -$0.51 $1.13 $1.42 $2.24 $2.30 $2.34

Cost of equity $1.85 $1.78 $1.87 $2.00 $2.20 $2.41

Excess return -$2.36 -$0.65 -$0.45 $0.24 $0.10 -$0.07

PV of excess return -$2.15 -$0.54 -$0.34 $0.16 $0.06

PV of terminal value -$0.09

= $15.63

(Per share data)

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Table 10 Predicted intrinsic value of scenario 3

2009 2010 2011 2012 2013 2014

Required rate of return = 8%, Persistence factor = 0.62

Beginning book value $18.52 $16.54 $15.66 $16.58 $18.06 $19.73

Net income -$1.78 -$0.68 $1.11 $1.68 $1.87 $1.42

Cost of equity $1.48 $1.32 $1.25 $1.33 $1.44 $1.58

Excess return -$3.26 -$2.00 -$0.14 $0.36 $0.43 -$0.16

PV of excess return -$3.02 -$1.71 -$0.11 $0.26 $0.29

PV of terminal value -$0.23

= $14.00

Required rate of return = 9%, Persistence factor = 0.62

Beginning book value $18.52 $16.54 $15.66 $16.58 $18.06 $19.73

Net income -$1.78 -$0.68 $1.11 $1.68 $1.87 $1.42

Cost of equity $1.67 $1.49 $1.41 $1.49 $1.63 $1.78

Excess return -$3.45 -$2.16 -$0.30 $0.19 $0.25 -$0.35

PV of excess return -$3.16 -$1.82 -$0.23 $0.14 $0.16

PV of terminal value -$0.49

= $13.11

Required rate of return = 10%, Persistence factor = 0.62

Beginning book value $18.52 $16.54 $15.66 $16.58 $18.06 $19.73

Net income -$1.78 -$0.68 $1.11 $1.68 $1.87 $1.42

Cost of equity $1.85 $1.65 $1.57 $1.66 $1.81 $1.97

Excess return -$3.63 -$2.33 -$0.45 $0.03 $0.07 -$0.55

PV of excess return -$3.30 -$1.93 -$0.34 $0.02 $0.04

PV of terminal value -$0.71

= $12.30

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(Per share data)

Table 11 Estimated intrinsic values and assigned weight of average for different required rate of return and scenarios

R=8% R=9% R=10%

Intrinsic value

Scenario 1 $20.94 $19.60 $18.36

Scenario 2 $17.80 $16.67 $15.63

Scenario 3 $14.00 $13.11 $12.30

Scenario 4 N/A N/A N/A

Assigned weight

Scenario 1 (25%) 5% 15% 5%

Scenario 2 (50%) 10% 30% 10%

Scenario 3 (20%) 4% 12% 4%

Scenario 4 (5%) 1% 3% 1%

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Table 12 Tier 1 capital ratios and TCE ratios from 2004~2008

2004 2005 2006 2007 2008

Tier 1 risk-based capital

ratio9.64% 9.73% 9.42% 9.06% 11.91%

TCE Ratio 6.18% 6.29% 6.36% 6.36% 5.86%

(In millions dollars, except ratio data)

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Table 13 Predicted TCE Ratios for each of the four scenarios

2009 2010 2011 2012 2013 2014

Scenario 1

Tangible common equity

$1,343 $1,603 $1,939 $2,296 $2,618 $2,975

Tangible assets $23,709 $24,392 $25,178 $26,043 $26,893 $27,801

TCE Ratio 5.66% 6.57% 7.70% 8.82% 9.73% 10.70%

Scenario 2Tangible common equity

$1,275 $1,401 $1,564 $1,832 $2,108 $2,388

Tangible assets $24,482 $24,771 $25,100 $25,536 $25,983 $26,438

TCE Ratio 5.21% 5.66% 6.23% 7.17% 8.11% 9.03%

Scenario 3Tangible common equity

$1,113 $1,008 $1,132 $1,329 $1,549 $1,713

Tangible assets $23,048 $22,808 $22,931 $23,571 $24,254 $24,901

TCE Ratio 4.83% 4.42% 4.93% 5.64% 6.39% 6.88%

Scenario 4Tangible common equity

$1,044 $819 $516 $153 - -

Tangible assets $22,979 $22,619 $22,192 $21,716 - -

TCE Ratio 4.54% 3.62% 2.32% 0.70% - -

(In millions dollars, except ratio data)

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Table 14 ABC Bank’s PE ratio compared to its peer companies

Company

Name

Price on

09/09/09

EPS P/E Multiple

Q308 ~

Q209

Estimated

CY’09(1)

Estimated

CY’10(1)

Trailing

P/E

Forward

P/E

(CY’09)

Forward

P/E

(CY’10)

ABC

Bank$10.29 $0.50 -$0.72(2) $0.90(2) 20.58x NA 9.44x

U*B $21.75 $0.83 $0.85 $1.44 26.2x 25.59x 15.10x

O*B $10.49 $0.59 $0.43 $0.55 17.78x 25.44x 19.07x

F**R $17.92 $1.20 $1.00 $1.22 14.93x 17.92x 14.69x

M**I $16.09 -$1.19 -$0.75 $0.96 NA NA 16.76x

F**B $10.55 -$4.02 $0.79 -$0.17 NA 13.35x NA

Peer Group Mean of P/E Multiple 19.64x 20.58x 16.41x

Peer Group Median of P/E Multiple 17.78x 21.68x 15.93x

(1) The estimated EPS is the analysts estimate data in Yahoo! Finance on 09/09/09.

http://finance.yahoo.com/

(2) The estimated EPS for ABC Bank is the weighted average EPS by the four scenarios.

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Table 15 ABC Bank’s PBV and price-to-tangible-book value ratios compared to its peer companies

Company

Name

Price on

09/09/09

Book value

per share

on 2Q09(1)

PBV

Multiple

Tangible

book value

per share

on 2Q09(1)

PBV

(Tangible)

Multiple

ROE

ABC Bank $ 10.29 $ 18.68 0.55x $ 10.84 0.95x 2.2%

U*B $ 21.75 $ 10.37 1.91x $ 5.16 4.21x 8.25%

O*B $ 10.49 $ 9.59 1.09x $ 6.47 1.62x 3.96%

F**R $ 17.92 $ 11.85 1.51x $ 10.12 1.77x 9.76%

M**I $ 16.09 $ 24.01 0.67x $ 12.19 1.32x -4.23%

F**B $ 10.55 $ 13.61 0.54x $ 8.58 0.86x -10.72%

Peer Group Mean - 1.14x - 1.96x -

Peer Group Median - 1.09x - 1.62x -

(1) The book values per share and the tangible book value per share on 2Q09 were acquired from SEC

filing 10-Q for second quarter of 2009 document of the companies. <http://www.sec.gov/>

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Figure 1 Relationship between ABC Bank’s provision for loan losses and Milwaukee ISM rolled forward one quarter (Inverse scale) from 2003 Q1 to 2009 Q2.

* The ISM-Milwaukee index data were obtained from The Institute for Supply Management-Milwaukee (ISM-

Milwaukee). (http://www.ismmilwaukee.org/)

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Figure 2 Stock performance comparison of ABC Bank, S&P 500 index and regional bank index from 5/1/2009 to 9/1/2009

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BIBLIOGRAPHY

1. Aswath Damodaran. Investment Valuation : Tools and Techniques for Determining

the Value of Any Asset, 2 nd ed . Wiley, 2002.

2. Aswath Damodaran. Equity Risk Premiums (ERP): Determinants, Estimation and

Implications. Stern School of Business, 2008

3. Patricia M. Dechow, Amy Hutton, and Richard Sloan. “An Empirical Assessment of

the Residual Income Valuation Model.” Journal of Accounting and Economics,

(1999):1-34.

4. Frank J. Fabozzi, Franco Modigliani, and Frank J. Jones. Foundations of Financial

Markets and Institutions, 4 th ed . Prentice Hall, 2009.

5. Matthias Rieker, “Revamp Would Help Banks Boost Reserves: Provision Seeks to

Avert Thin Capital Cushions That Helped to Worsen the Financial Crisis”, The W all

Street Journal, June 24, 2009

6. Maurice Tamman and David Enrich, “Local Banks Face Big Losses: Journal Study of

940 Lenders Shows Potential for Deep Hit on Commercial Property”, The W all Street

Journal, May 19, 2009

7. John D. Stowe, Thomas R. Robinson, R. Elaine Henry, and Jerald E. Pinto. Residual

Income Valuation. CFA Program Level II Curriculum. Vol. 4. Equity (2009): 527-

576.

8. James M. Wahlen. “The Nature of Information in Commercial Bank Loan Loss

Disclosures.” The Accounting Review, July 1994: 455-478

9. Marsha Wallace, "Is Fair-Value Accounting Responsible for the Financial Crisis?"

B ank A ccounting & F inance , December 2008-January 2009,9-18

10. Federal Reserve District, Summary of Commentary on Current Economic Conditions,

9 September 2009

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11. Board of Governors of the Federal Reserve System, The Supervisory Capital

Assessment Program: Design and Implementation, 24 April, 2009 < http://

www.federalreserve.gov/>

12. International Monetary Fund, World Economic and Financial Surveys: Global

Financial Stability Report, Oct, 2009 <http://www.imf.org/>