Use a change of numeraire and measure to verify that the value of a claim paying
KT if ST
KT if ST
Answer to relevant QuestionsUse a change of numeraire and measure to verify that the value of a claim paying ST if ST Suppose that the stock price follows a jump-diffusion process as outlined in Section 20.7. Let the jump intensity be λ = 0.75, the expected jump exp(αJ ), with αJ = −0.15, and let the jump volatility be σJ = 0.25. You ...For the lookback put: a. What is the value of a lookback put if ST = 0? Verify that the formula gives you the same answer. b. Verify that at maturity the value of the put is ST − ST . Verify in Example 23.12 that you obtain the same answer if you use x0Q0 as the stock price, δQ+ ρsσQ + r − rf as the dividend yield, r as the interest rate, and σQ as the volatility. Suppose S = $100, r = 8%, σ = 30%, T = 1, and δ = 0. Use the Black-Scholes formula to generate call and put prices with the strikes ranging from $40 to $250, with increments of $5. Compute the implied volatility from these ...
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