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    Copyright 2009 Pearson Prentice Hall. All rights reserved.

    Chapter 2

    Foreign

    Exchange

    Parity

    Relations

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    Introduction

    In this chapter we look at:

    Foreign exchange fundamentals; in particular

    the balance of payments and exchange rate

    regimes. Describe the factors that cause a nations

    currency to appreciate or depreciate.

    International parity relations.

    Define and discuss the International Fisher

    relation.

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    Introduction

    Discuss the implications of the parity

    relationships combined.

    Exchange rate determination theories and their

    potential implications. Discuss the asset markets approach to pricing

    exchange rate expectations.

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    Supply and Demand for Foreign

    Exchange

    In general, there are many types oftransactions that affect the demand and

    supply of one national currency.

    From an accounting viewpoint, eachcountry keeps track of the payments on all

    international transactions in its balance of

    payments.

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    Exhibit 2.1: Foreign Exchange Market

    Equilibrium

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    Balance of Payments

    The balance of payments tracks all financialflows crossing a countrys borders during a

    given period (a quarter or a year).

    A balance of payments is not an incomestatement nor a balance sheet.

    The convention is to treat all financial

    inflows as a credit to the balance ofpayments.

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    Balance of Payments

    An export, for example, creates a financialinflow for the home country, whereas an

    import creates an outflow.

    There are two main categories:

    Current account

    Financial account

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    Current Account

    Covers all current transactions that take place inthe normal business of residents of a country.

    Dominated by the trade balance, the balance of allexports and imports.

    Made up of:

    Exports and imports (trade balance)

    Services

    Income

    Current transfers

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    Current Account

    It also covers: Services (such as services in transportation,

    communication, insurance and finance).

    Income (interest, dividends and various investment

    income from cross-border investments). Current transfers (flows without quid pro quo

    compensation).

    A current account deficit is not necessarily a bad

    economic signal as long as nonresidents arewilling to offset it by investment flows.

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    Financial Account

    Covers investments by residents abroad andinvestments by nonresidents in the home country.

    It includes:

    Direct investment made by companies.

    Portfolio investments in equity, bonds and other

    securities of any maturity.

    Other investments and liabilities (such as deposits or

    borrowing with foreign banks and vice versa).

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    Financial Account

    The sum of the current and financialaccounts should be zero.

    Question: What if the overall balance is

    negative?

    Answer: The central bank can use up part of

    its reserves to restore a zero balance.

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    Capital and Financial Account

    The Capital Accountincludes unrequited(unilateral) transfers corresponding to capital

    flows without compensation such as foreign aid,

    debt forgiveness and expropriation losses. This is

    typically a very small account with a misleading

    title. It is often aggregated with the financial

    account (capital and financial account).

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    Capital and Financial Account

    Similarly,Net Errors and Omissions(orstatistical discrepancy) are usually

    aggregated with the capital and financial

    account. To be sustained, a current account deficit

    must be financed by a financial account

    surplus.

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    Exhibit 2.2: U.S. Balance of Payments

    for 2004

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    Balance of Payments Equilibrium

    The sum of the current account and of the capitaland financial account is called the overall balance

    and should be zero in the absence of government

    intervention.

    The official reserve account tracks all reserve

    transactions by the monetary authorities.

    By accounting definition, the overall balance must

    mirror the official reserve account.

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    Differences in Economic Performance

    Financial flows are attracted by highexpected return, but also by low risk.

    Desired Attributes:

    A stable political system

    A rigorous but fair legal system

    A fair tax system

    Free movements of capital

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    Factors That Cause a Nations Currency

    to Appreciate or Depreciate

    In a flexible exchange rate system, the valueof a currency is driven by changes in

    fundamental economic factors.

    Amongst the factors are: Differences in national inflation rates.

    Changes in real interest rates.

    Differences in economic performance. Changes in investment climate.

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    Exchange Rate Regimes

    Historically, there have been three differentregimes:

    Flexible (or Floating) Exchange Rates

    Fixed Exchange Rates

    Pegged Exchange Rates

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    Flexible (Floating) Exchange Rate

    Regime

    One in which the exchange rate between twocurrencies fluctuates freely in the foreignexchange market.

    Advantage

    The exchange rate is a market-determined price thatreflects economic fundamentals at each point in time.

    Governments are free to adopt independent domesticmonetary and fiscal policies.

    Disadvantage Quite volatile exchange rates.

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    Fixed Exchange Rate Regime

    One in which the exchange rate between twocurrencies remains fixed at a preset level, knownas official parity.

    Advantages:

    Eliminates exchange rate risk, at least in the short run.

    Brings discipline to government policies.

    Disadvantages:

    Deprives the country of any monetary independence.

    Also constrains countrys fiscal policy.

    Its long-term credibility

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    Currency Board

    Today some countries try to maintain afixed exchange rate regime against the

    dollar or euro.

    This is done through a currency board

    The supply of home currency is fully

    backed by an equivalent amount of that

    major currency.

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    Pegged Exchange Rate Regime

    Characterized as a compromise between a flexibleand a fixed exchange rate. The exchange rate is allowed to fluctuate within a

    (small) band around a target exchange rate (peg) andthe target exchange rate is periodically revised to reflect

    changes in economic fundamentals. Advantages

    Reduces exchange rate volatility in the short run.

    Also encourages monetary discipline for the home

    country. Disadvantage

    Can induce destabilizing speculation.

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    International Parity Relations

    The parity relations of international financeare as follows:

    Interest rate parity relation

    Purchasing power parity relation. International Fisher relation.

    Uncovered interest rate parity relation.

    Foreign exchange expectation relation.

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    International Parity Relations: Definitions

    The term spotrate (S) refers to the exchange ratefor immediate delivery.

    The forward rate (F) is set on one date for

    delivery at a future specified date. For example,the $: forward exchange rate for delivery in six

    months might be F = 106.815 yen per dollar.

    rFCand rDCare the foreign and domestic interest

    rates (annualized). IFC and IDCare the foreign and domestic inflation

    rates (annualized).

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    Interest Rate Parity Relation

    Interest rate parity is the relation that theforward discount (premium) equals the

    interest rate differential between two

    currencies. Indicates that what we gain on the interest

    rate differential, we lose on the discount on

    the forward contract.

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    Interest Rate Parity Relation

    Exact relationF/S = (1 + rFC)/(1 + rDC)

    Linear approximation

    = F/S -1 rFC- rDC

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    Parity Relations

    Thepurchasing power parityrelation,linking spot exchange rates and inflation.

    TheInternational Fisher relation, linking

    interest rates and expected inflation. The uncovered interest rate parityrelation,

    linking spot exchange rates, expectedexchange rates and interest rates.

    Theforeign exchange expectation relation,linking forward exchange rates andexpected spot exchange rates.

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    Purchasing Power Parity (PPP) Relation

    PPP states that the spot exchange rateadjusts perfectly to inflation differentials

    between two countries.

    There are two versions of PPP: Absolute PPP

    This claims that the exchange rate should be equal

    to the ratio of the average price levels in the two

    economies.

    Relative PPP

    Focuses on the general across the board inflation

    rates.

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    Purchasing Power Parity (PPP) Relation

    Relative PPP This claims that the percentage movement of

    the exchange rate should be equal to the

    inflation differential between the twoeconomies

    The PPP relation is presented as:

    Exact

    S1/S0= (1 + IFC)/(1 + IDC)

    Linear approximation

    s = S1/S01 IFC- IDC

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    Purchasing Power Parity (PPP) Relation

    PPP says that what you gain with lowerdomestic inflation, you can expect to lose

    on foreign currency depreciation when you

    invest in foreign currency assets.

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    International Fisher Relation

    Claims that the interest rate differential between

    two countries should be equal to the expected

    inflation rate differential over the term of the

    interest rate.

    The International Fisher Relationcan be

    represented as:

    Exact

    (1 + rFC)/(1 + rDC) = (1 + E(IFC))/(1 + E(IDC))

    Linear approximation

    rFCrDCE(IFC) - E(IDC)

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    Example

    Question:How are the nominal and realinterest rates calculated?

    Answer:Nominal interest rate is observed

    in the marketplace. The real interest rate iscalculated from the observed interest rate

    and forecasted inflation.

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    Uncovered Interest Rate Parity Relation

    This is a theory combining purchasing powerparity and the international Fisher relation.

    It refers to the exchange rate exposure not coveredby a forward contract.

    It claims the expected change in the indirectexchange rate approximately equals the foreignminus the domestic interest rate.

    It can be represented as:

    Exact

    E(S1)/S0= (1 + rFC)/(1 + rDC)

    Linear Approximation

    E(s) = E(S1)/S01 rFC- rDC

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    Foreign Exchange Expectation Relation

    This relation states that the forwardexchange rate, quoted at time 0 for delivery

    at time 1, is equal to the expected value of

    the spot exchange rate at time 1. This can be written as:

    F = E(S1)

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    Combining Relations - Summary

    Interest rate differential:forward discount (premium)equals the interest rate differential.

    Inflation differential:exchange rate movement shouldexactly offset any inflation differential.

    Expected inflation rate differential:expected inflationrate differential should be matched by the interest ratedifferential, assuming (Fisher) real interest rates areequal.

    The interest rate differential:expected to be offset by thecurrency depreciation.

    The expected exchange rate movement:forward discount(or premium) is equal to the expected exchange ratemovement.

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    Summary of Parity Relations

    Exhibit 2 3: International Parity

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    Exhibit 2.3: International Parity

    Relations Linear Approximation

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    Exchange Rate Determination

    The following approaches are proposed: Fundamental value based on relative PPP

    Balance of Payments Approach

    Asset Market Approach

    F d t l V l B d R l ti

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    Fundamental Value Based on Relative

    PPP

    Such estimation is not an easy task and exchangerates can become grossly misaligned and remain

    so for several years without a correction.

    This correctionwill usually take place, but it may

    take several years and its timing is unclear.

    Additional models are needed to provide a better

    understanding of exchange rate movements.

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    Balance of Payments Approach

    An analysis of balance of payments provided thefirst approach to the economic modeling of theexchange rate.

    The four component groups include the current

    account, financial account, capital account andofficial reserves account.

    An imbalance in some account could lead to adepreciation or appreciation of the home currency.

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    Sources of Data for BOP

    Customs data

    Central bank stats

    Bank reports of transactions

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    BOP Components

    Current Account

    Capital account

    Financial account

    Official reserve account

    Exhibit 2 5: Balance of Payments

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    Exhibit 2.5: Balance of Payments

    and the Dollar Exchange Rate

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    Asset Market Approach

    This approach claims that the exchange rate is therelative price of two currencies, determined by

    investorsexpectations about the future, not by

    current trade flows.

    News(unexpected information) about future

    economic prospects should affect the current

    exchange rate.

    Several types of news influence exchange rates.

    Asset Market Approach:

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    Asset Market Approach:

    A Simple Example

    Lets consider a one-time sudden and unexpected increasein the domestic money supply that will lead to higher home

    inflation.

    The long-runexchange rate effect is a depreciation of the

    home currency so that purchasing power parity ismaintained as the percentage increase in the price level

    matches the percentage increase in the money supply.

    Given sticky-goods prices, theshort-runexchange rate

    effect is an immediate drop in the real interest rate andmore depreciation of the currency than the depreciation

    implied by purchasing power parity.

    E hibi 2 6

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    Exhibit 2.6:

    ExchangeRate

    Dynamics