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The forward price (or sometimes forward rate) is the agreed upon price of an asset in a forward contract. [ 1 ] [ 2 ] Using the rational pricing assumption, for a forward contract on an underlying asset that is tradeable, the forward price can be expressed in terms of the spot price and any dividends.
The forward exchange rate depends on three known variables: the spot exchange rate, the domestic interest rate, and the foreign interest rate. 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. [4]
One implication of this is that the presence of a forward market will force spot prices to reflect current expectations of future prices. As a result, the forward price for nonperishable commodities, securities or currency is no more a predictor of future price than the spot price is - the relationship between forward and spot prices is driven ...
The forward rate is the future yield on a bond. It is calculated using the yield curve . For example, the yield on a three-month Treasury bill six months from now is a forward rate .
Here, the forward price represents the expected future value of the underlying discounted at the risk-free rate—as any deviation from the theoretical price will afford investors a riskless profit opportunity and should be arbitraged away. We define the forward price to be the strike K such that the contract has 0 value at the present time.
The forward curve is a function graph in finance that defines the prices at which a contract for future delivery or payment can be concluded today. For example, a futures contract forward curve is prices being plotted as a function of the amount of time between now and the expiry date of the futures contract (with the spot price being the price at time zero).
The Black formula is similar to the Black–Scholes formula for valuing stock options except that the spot price of the underlying is replaced by a discounted futures price F. Suppose there is constant risk-free interest rate r and the futures price F(t) of a particular underlying is log-normal with constant volatility σ.
Using the Black model, the spot price in the formula is not simply the market price of the underlying bond, rather it is the forward bond price. This forward price is calculated by first subtracting the present value of the coupons between the valuation date (i.e. today) and the exercise date from today's dirty price, and then forward valuing ...