82_unit-_i_ppt
TRANSCRIPT
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Introduction to Financial Management
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I am saving for retirement. Should I use apension fund, mutual fund, direct stockmarket investment ?
I want that new car. Should I use my cashsaving, lease, borrow?
Which is the best way to pay for my holidays,for my house?
Im thinking about starting a new business.Will it reward me adequately?
A Company has asked for major projectfinancing. Should my organization providethe funds?
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to run a business.
For input operations.
For managerial activities.
DEFINITION: Finance may be defined as the position of
money at the time it is wanted-----according to F.W. Paish.
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Financial means procuring sources of moneysupply and allocation of these sources on thebasis of forecasting monetary requirements
of the business.Management refers to planning ,organization, coordination and control ofhuman activities and physical resources for
achieving the objectives of an enterprise
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The traditional approach.
The modern approach.
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Under this approach financial managementwas consider as corporation finance.
The following three things were to be
studied for procurement of finances:-1. institutional sources of finance.
2. issue of financial instrument to collectnecessary funds from capital market.
3. legal and accounting relationship betweenbusiness and sources of finance.
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The focus of this approach is on the followingquestions:-What is the total amount of funds anenterprise should commit?
What specific assets an enterprise shouldacquire?
How should the funds required to raised?
Fund requirement decision.
Financing decision.
Investment decision.
Dividend decision.
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Introduction
Present and future values
Present and future value factors
CompoundingGrowing income streams
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Time has a value
If we owe, we would prefer to pay money later
If we are owed, we would prefer to receivemoney sooner
The longer the term of a single-payment loan,the higher the amount the borrower must repay
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Basic time value of money relationships:
1/(1 )
(1 )
t
t
PV FV DF
FV PV CF
where PV = present value;
FV = future value;
DF = discount factor = R
CF = compounding factor = R
R = interest rate per perio
d; and
t = time in periods
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Apresent valueis the discounted value ofone or more future cash flows
Afuture valueis the compounded value of apresent value
The discount factoris the present value of adollar invested in the future
The compounding factoris the future valueof a dollar invested today
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Why is a dollar today worth more than adollar tomorrow?
The discount factor: Decreases as time increases
The farther away a cash flow is, the more wediscount it
Decreases as interest rates increase
When interest rates are high, a dollar today is worth
much more than that same dollar will be in thefuture
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Single sum factors
How we get present and future value tables
Ordinary annuities and annuities due
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Present value interest factorandfuturevalue interest factor:
where
1
(1 )
(1 )
t
t
PV FV PVIF
FV PV FVIF
PVIFR
FVIF R
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Example
You just invested $2,000 in a three-year bank
certificate of deposit (CD) with a 9 percentinterest rate.
How much will you receive at maturity?
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Standard time value of money tables presentfactors for:
Present value of a single sum
Present value of an annuity Future value of a single sum
Future value of an annuity
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Relationships:
You can use the present value of a single sum toobtain: The present value of an annuity factor (a running total
of the single sum factors)
The future value of a single sum factor (the inverse ofthe present value of a single sum factor)
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An annuityis a series of payments at equaltime intervals
An ordinary annuityassumes the firstpayment occurs at the end of the first year
An annuity dueassumes the first paymentoccurs at the beginning of the first year
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Example
You have just won the lottery! You will receive
$1 million in ten installments of $100,000 each.You think you can invest the $1 million at an 8percent interest rate.
What is the present value of the $1 million if thefirst $100,000 payment occurs one year fromtoday? What is the present value if the firstpayment occurs today?
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Example (contd)
Solution: These questions treat the cash flows as
an ordinary annuity and an annuity due,respectively:
of ordinary annuity $100,000 6.7100 $671,000
of annuity due $100,000 ($100,000 6.2468) $724,680
PV
PV
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Definition
Discrete versus continuous intervals
Nominal versus effective yields
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Compoundingrefers to the frequency withwhich interest is computed and added to theprincipal balance
The more frequent the compounding, the higherthe interest earned
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Discrete compoundingmeans we cancount the number of compounding periodsper year
E.g., once a year, twice a year, quarterly,monthly, or daily
Continuous compoundingresults when
there is an infinite number ofcompounding periods
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Mathematical equation for continuouscompounding:
2.71828
RtFV PVe
e
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Example (contd)
Solution: For quarterly compounding:
4
(1 / )
$100.00(1 0.03/ 4)$103.03
mtFV PV R m
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Example (contd)
Solution (contd):For continuous compounding:
0.03
$100.00$103.05
RtFV PVe
e
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Definition
Growing annuity
Growing perpetuity
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A growing stream is one in which eachsuccessive cash flow is larger than theprevious one
A common problem is one in which the cash flowsgrow by some fixed percentage
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A growing annuityis an annuity in which thecash flows grow at a constant rate g:
2
2 3 1
1
(1 ) (1 ) (1 )...
(1 ) (1 ) (1 ) (1 )
111
n
n
N
C C g C g C g PV
R R R R
C gR g R
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