Compute daily volatilities for 1991 through 2004 for IBM, Xerox, and the S&P 500 index. Annualize by multiplying by √ 252. How do your answers compare to those in Problem 24.1?
Answer to relevant QuestionsUsing the CEV option pricing model, set β = 3 and generate option prices for strikes from 60 to 140, in increments of 5, for times to maturity of 0.25, 0.5, 1.0, and 2.0. Plot the resulting implied volatilities. Use the same inputs as in the previous problem. Suppose that you observe a bid option price of $50 and an ask price of $50.10. a. Explain why you cannot compute an implied volatility for the bid price. b. Compute an implied ...What volatilities were used to construct each tree? (You computed zero-coupon bond prices in the previous problem; now you have to compute the year-1 yield volatility for 1-, 2-, 3-, and 4-year bonds.) Can you unambiguously ...Using Monte Carlo, simulate the process dr = a(b − r)dt + σ√rdZ, assuming that r = 6%, a = 0.2, b = 0.08, φ = 0 and σ = 0.02. Compute the prices of 1-, 2-, and 3-year zero coupon bonds, and verify that your answers ...Compute the 95% 10-day tail VaR for the position in Problem 26.8. In Problem 26.8. Compute the 95% 10-day VaR for a written strangle (sell an out-of-the-money call and an out-of-the-money put) on 100,000 shares of stock A. ...
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