The forward exchange rate also referred to as forward rate or forward price is the exchange rate at which a bank agrees to exchange one currency for another at a future date when it enters into a forward contract with an investor. When in equilibrium, and when interest rates vary across two countries, the parity condition implies that the forward rate includes a premium or discount reflecting the interest rate differential.
Forward exchange rates have important theoretical implications for forecasting future spot exchange rates. Financial economists have put forth a hypothesis that the forward rate accurately predicts the future spot rate, for which empirical evidence is mixed. The forward exchange rate is the rate at which a commercial bank is willing to commit to exchange one currency for another at some specified future date. It is the exchange rate negotiated today between a bank and a client upon entering into a forward contract agreeing to buy or sell some amount of foreign currency in the future.
Hedging with forward contracts is typically used for larger transactions, while futures contracts are used for smaller transactions. This is due to the customization afforded to banks by forward contracts traded over-the-counter , versus the standardization of futures contracts which are traded on an exchange. Covered interest rate parity is a no-arbitrage condition in foreign exchange markets which depends on the availability of the forward market.
It can be rearranged to give the forward exchange rate as a function of the other variables. The forward exchange rate depends on three known variables: This effectively means that the forward rate is the price of a forward contract, which derives its value from the pricing of spot contracts and the addition of information on available interest rates.
The following equation represents covered interest rate parity, a condition under which investors eliminate exposure to foreign exchange risk unanticipated changes in exchange rates with the use of a forward contract — the exchange rate risk is effectively covered.
Under this condition, a domestic investor would earn equal returns from investing in domestic assets or converting currency at the spot exchange rate, investing in foreign currency assets in a country with a different interest rate, and exchanging the foreign currency for domestic currency at the negotiated forward exchange rate.
Investors will be indifferent to the interest rates on deposits in these countries due to the equilibrium resulting from the forward exchange rate. If these two returns weren't equalized by the use of a forward contract, there would be a potential arbitrage opportunity in which, for example, an investor could borrow currency in the country with the lower interest rate, convert to the foreign currency at today's spot exchange rate, and invest in the foreign country with the higher interest rate.
The equilibrium that results from the relationship between forward and spot exchange rates within the context of covered interest rate parity is responsible for eliminating or correcting for market inefficiencies that would create potential for arbitrage profits. As such, arbitrage opportunities are fleeting. In order for this equilibrium to hold under differences in interest rates between two countries, the forward exchange rate must generally differ from the spot exchange rate, such that a no-arbitrage condition is sustained.
Therefore, the forward rate is said to contain a premium or discount, reflecting the interest rate differential between two countries. The following equations demonstrate how the forward premium or discount is calculated.
In practice, forward premiums and discounts are quoted as annualized percentage deviations from the spot exchange rate, in which case it is necessary to account for the number of days to delivery as in the following example. For example, to calculate the 6-month forward premium or discount for the euro versus the dollar deliverable in 30 days, given a spot rate quote of 1.
Conversely, if one were to work this example in euro terms rather than dollar terms, the perspective would be reversed and one would say that the dollar is trading at a discount against the Euro.
The unbiasedness hypothesis states that given conditions of rational expectations and risk neutrality , the forward exchange rate is an unbiased predictor of the future spot exchange rate. Without introducing a foreign exchange risk premium due to the assumption of risk neutrality , the following equation illustrates the unbiasedness hypothesis.
The empirical rejection of the unbiasedness hypothesis is a well-recognized puzzle among finance researchers. Empirical evidence for cointegration between the forward rate and the future spot rate is mixed. One rationale centers around the relaxation of risk neutrality, while still assuming rational expectations, such that a foreign exchange risk premium may exist that can account for differences between the forward rate and the future spot rate.
The following equation represents the forward rate as being equal to a future spot rate and a risk premium not to be confused with a forward premium: The current spot rate can be introduced so that the equation solves for the forward-spot differential the difference between the forward rate and the current spot rate:.
Other rationales for the failure of the forward rate unbiasedness hypothesis include considering the conditional bias to be an exogenous variable explained by a policy aimed at smoothing interest rates and stabilizing exchange rates, or considering that an economy allowing for discrete changes could facilitate excess returns in the forward market.
Some researchers have contested empirical failures of the hypothesis and have sought to explain conflicting evidence as resulting from contaminated data and even inappropriate selections of the time length of forward contracts.
From Wikipedia, the free encyclopedia. Not to be confused with forward rate or forward price. International Financial Management, 6th Edition. International Finance, 4th Edition. Evidence from a New Test". The Quarterly Review of Economics and Finance. Fundamentals of Multinational Finance, 3rd Edition.