Unit 3
Unit 3
Unit 3
Which is .001 less than the Dressner Bank quote, which results in
triangular arbitrage.
Triangular Arbitrage by a Market Trader
Forward Quotations
Spot rates are typically quoted on an outright basis (meaning all
digits expressed) whereas forward rates are typically quoted in
points or pips (the last digits of a currency quotation).
Forward rates of one year or less maturity are termed cash rates; for
longer than one-year they are called swap rates.
F = S + Premium
Spot and Forward Quotations for the Euro and Japanese
Yen
Forward Quotations
The percent per annum deviation of the forward from the spot rate is termed
the forward premium.
As with the calculation of percentage changes in spot rates, the forward
premium—which may be either a positive (a premium) or negative value (a
discount)—depends upon the designated home (or base) currency.
Forward Premium/Discount
Indirect Quotation
Direct Quotation
Calculate the Forward Premium/Discount
Foreign Currency Price / Home Currency / Foreign
Home Currency Currency
Spot Rate JPY 118.27/USD USD/JPY 0.0084552
3 month forward rate JPY 116.84/USD USD/JPY 0.0085587
International Parity Conditions
Some fundamental questions managers of MNEs, international portfolio
investors, importers, exporters and government officials must deal with every
day are:
◦ What are the determinants of exchange rates?
◦ Are changes in exchange rates predictable?
The economic theories that link exchange rates, price levels, and interest rates
together are called international parity conditions.
These international parity conditions form the core of the financial theory that
is unique to international finance.
Prices and Exchange Rates
If the identical product or service can be:
◦ sold in two different markets; and
◦ no restrictions exist on the sale; and
◦ transportation costs of moving the product between markets are equal, then
◦ the product’s price should be the same in both markets.
This is called the law of one price.
Prices and Exchange Rates
A primary principle of competitive markets is that prices will
equalize across markets if frictions (transportation costs) do not
exist.
Comparing prices then, would require only a conversion from one
currency to the other:
P$ x S = P¥
Where the product price in U.S. dollars is (P$), the spot exchange
rate is (S) and the price in Yen is (P¥).
Prices and Exchange Rates
More specifically, with regard to RPPP:
In July, the one-year interest rate is 2% on Swiss francs and 7% on U.S. dollars.
1. If the current exchange rate is SFr 1 = $0.91, what is the expected future
exchange rate in one year?
2. If a change in expectations regarding future U.S. inflation causes the expected
future spot rate to rise to $1.00, what should happen to the U.S. interest rate?
The Forward Rate
The forward rate is calculated for any specific maturity by adjusting the current
spot exchange rate by the ratio of eurocurrency interest rates of the same
maturity for the two subject currencies.
For example, the 90-day forward rate for the Swiss franc/U.S. dollar exchange
rate (FSF/$90) is found by multiplying the current spot rate (SSF/$) by the ratio
of the 90-day euro-Swiss franc deposit rate (iSF) over the 90-day eurodollar
deposit rate (i$).
Formulaic representation of the forward rate:
Interest Rate Parity (IRP)
The theory of Interest Rate Parity (IRP) provides the linkage between
the foreign exchange markets and the international money markets.
The theory states: The difference in the national interest rates for
securities of similar risk and maturity should be equal to, but
opposite in sign to, the forward rate discount or premium for the
foreign currency, except for transaction costs.
Interest Rate Parity
Covered Interest Arbitrage
The spot and forward exchange rates are not, however, constantly in
the state of equilibrium described by interest rate parity.
When the market is not in equilibrium, the potential for “risk-less”
or arbitrage profit exists.
The arbitrager will exploit the imbalance by investing in whichever
currency offers the higher return on a covered basis.
Covered Interest Arbitrage (CIA)
Uncovered Interest Arbitrage (UIA)
In the case of uncovered interest arbitrage (UIA), investors borrow in countries
and currencies exhibiting relatively low interest rates and convert the proceed
into currencies that offer much higher interest rates.
The transaction is “uncovered” because the investor does not sell the higher
yielding currency proceeds forward, choosing to remain uncovered and accept
the currency risk of exchanging the higher yield currency into the lower yielding
currency at the end of the period.
Uncovered Interest Arbitrage (UIA): The Yen Carry
Trade