This problem builds on the previous problem using the same parameters, only valuing a call option instead of a bond. Using Monte Carlo, simulate the Vasicek process for 3 years. For each simulation trial, at the end of 3 years, use the Vasicek formula to compute the price of a 1-year zero-coupon bond, P3(3, 4). after 3 years.) For each trial compute max(0, P3(3, 4) − 0.95), and discount this at e −_N i=1 r(i)h, where h is the time step. Take the mean of these calculations and compare your answer to that obtained using the formula in footnote 10. If you have several thousand iterations, it should be close.
Answer to relevant Questionsa. What is the 2-year forward price for a 1-year bond? b. What is the price of a call option that expires in 2 years, giving you the right to pay $0.90 to buy a bond expiring in 1 year? c. What is the price of an otherwise ...Consider two zero-coupon bonds with 2 years and 10 years to maturity. Let a = 0.2, b = 0.1, r = 0.05, σVasicek = 10%, and σCIR = 44.721%. The interest rate risk premium is zero in each case. We will consider a position ...Suppose the 7-year zero-coupon bond has a yield of 6% and yield volatility of 10% and the 10-year zero-coupon bond has a yield of 6.5% and yield volatility of 9.5%. The correlation between the 7-year and 10-year yields is ...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. Assume the options have strikes of $90 and $110 and have 1 year to expiration. Use ...Suppose the firm issues a single zero-coupon bond with maturity value $100. a. Compute the yield, probability of default, and expected loss given default for times to maturity of 1, 2, 3, 4, 5, 10, and 20 years. b. For each ...
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