# Question

Let KT = S0erT. Compute Pr(St KT ) for a variety of T s from 0.25 to 25 years. How do the probabilities behave? How do you reconcile your answer with the fact that both call and put prices increase with time?

## Answer to relevant Questions

Consider Pr(St If x ∼ N(2, 5), what is E(ex)? What is the median of ex? Let h = 1/52. Simulate both the continuously compounded actual return and the actual stock price, St+h. What are the mean, standard deviation, skewness, and kurtosis of both the continuously compounded return on the stock ...The Black-Scholes price for a European put option with S = $40, K = $40, σ = 0.30, r = 0.08, δ = 0, and t = 0.25 is $1.99. Use Monte Carlo to compute this price. Compute the standard deviation of your estimates. How many ...Suppose that S1 follows equation (20.26) with δ = 0. Consider an asset that follows the process dS2 = α2S2 dt − σ2S2 dZ Show that (α1 − r)/σ1=−(α2 − r)/σ2. S1 and S2 that eliminates risk.)Post your question

0