The Garman–Kohlhagen model is Black–Scholes for an exchange rate (units of the quote currency per unit of the base currency): the base currency is an asset paying a continuous yield equal to its interest rate , the quote currency’s rate discounts, and a call on the base currency is worth with and .
Exemplos
Example 20.2 (The broker’s screen)
At one year the market implies an at-the-money volatility of 5.32% (delta-neutral straddle strike 6.871, against a forward of 6.861). The 25-delta risk reversal is volatility points and the butterfly , with the 25-delta strikes at 6.662 and 7.177. At 10 delta the risk reversal is and the butterfly (strikes 6.442 and 7.702).