. The current price of a bond is A(0) = 95 and it will mature at...
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. The current price of a bond is A(0) = 95 and it will mature at time T with face value A(T) = 105. The stock price is modeled by one step of the binomial tree model, with S(0) = 100, U = 12%, D = 2%. A portfolio consists of 22 shares of stock and 7 bonds.¹ (a) What is the initial value of this portfolio, V(0)? (b) What are the possible future values of this portfolio, V(T)? (c) What are the rates of return on this portfolio, Ky? (d) Assume that the probability that S(T) = Sª(T) is 70%, and the prob- ability that S(T) = Sd(T) is 30%. Compute E[Ky] and Var(Ky). (e) Find the portfolio which replicates a call option with strike price 102, and determine the price of the option CE. (f) Find the portfolio which replicates a put option with strike price 105 and determine the price of the option, PE. . The current price of a bond is A(0) = 95 and it will mature at time T with face value A(T) = 105. The stock price is modeled by one step of the binomial tree model, with S(0) = 100, U = 12%, D = 2%. A portfolio consists of 22 shares of stock and 7 bonds.¹ (a) What is the initial value of this portfolio, V(0)? (b) What are the possible future values of this portfolio, V(T)? (c) What are the rates of return on this portfolio, Ky? (d) Assume that the probability that S(T) = Sª(T) is 70%, and the prob- ability that S(T) = Sd(T) is 30%. Compute E[Ky] and Var(Ky). (e) Find the portfolio which replicates a call option with strike price 102, and determine the price of the option CE. (f) Find the portfolio which replicates a put option with strike price 105 and determine the price of the option, PE.
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Answer rating: 100% (QA)
To solve this problem we can use the principles of noarbitrage and replication to construct portfolios that have the same payoffs as the call and put options and use the prices of these portfolios to ... View the full answer
Related Book For
Financial Markets and Institutions
ISBN: 978-0077861667
6th edition
Authors: Anthony Saunders, Marcia Cornett
Posted Date:
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