3. A stock price is currently $100. It is known that after 3 months it will either go up by 10% or down by 10%. The stock pays no dividends. The risk-free interest rate is 8% per annum with continuous compounding. (a) Find the premium of a 3-month European call with a strike price of $105 by using a one-period binomial tree. (b) Suppose you observe that in the market, a 3-month call with a strike price of $105 is worth $3.5. What arbitrage would you undertake?

3. A stock price is currently $100. It is known that after 3 months it will either go up by 10% or down by 10%. The stock pays no dividends. The risk-free interest rate is 8% per annum with continuous compounding. (a) Find the premium of a 3-month European call with a strike price of $105 by using a one-period binomial tree. (b) Suppose you observe that in the market, a 3-month call with a strike price of $105 is worth $3.5. What arbitrage would you undertake?

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter5: Financial Options

Section: Chapter Questions

Problem 4MC

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HEJO company has the current stock price of $20 today. Use a 1 step binomial tree to estimate the price of a oneyear call on thisstock. Assume the price can increase or decrease by 10% in in the next year with equal likelihood. Risk free rate is 2%, the strike is $21. A. Find the hedge ratio(H), (make sure have the correct sign, this will be written out as a decimal Answer: 0.25 B) Find the call's value or price today Answer: .58 C) Using the above information to price a put using call parity. Answer: 1.17 Please explain without using excel.
need help
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