An option has a gold futures contract as the underlying asset. The current 1-year gold futures price is $300/oz, the strike price is $290, the risk-free rate is 6%, volatility is 10%, and time to expiration is 1 year. Suppose n = 1. What is the price of a call option on gold? What is the replicating portfolio for the call option? Evaluate the statement: "Replicating a call option always entails borrowing to buy the underlying asset."
Answer to relevant QuestionsLet S = $100,K = $95, r = 8%, T = 0.5, and δ = 0. Let u = 1.3, d = 0.8, and n = 1. a. Verify that the price of a European call is $16.196. b. Suppose you observe a call price of $17. What is the arbitrage? c. Suppose you ...Let S = $100,K = $95, r = 8%, T = 0.5, and δ = 0. Let u = 1.3, d = 0.8, and n = 1. a. Verify that the price of a European put is $7.471. b. Suppose you observe a put price of $8. What is the arbitrage? c. Suppose you ...Consider a one-period binomial model with h = 1, where S = $100, r = 0, σ = 30%, and δ = 0.08. Compute American call option prices for K = $70, $80, $90, and $100. a. At which strike(s) does early exercise occur? b. Use ...Compute the prices of European and American calls and puts. Repeat the previous problem, except that for each strike price, compute the expected return on the option for times to expiration of 3 months, 6 months, 1 year, and 2 years. What effect does time to maturity have on the ...
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