Question: Answer Both Questions Please! Question 1 Assuming a stock currently trades at $50, the risk-free interest rate is 3.125%. If a call option with a
Answer Both Questions Please!
Question 1
Assuming a stock currently trades at $50, the risk-free interest rate is 3.125%. If a call option with a strike price of $53.50 has a volatility of 20%, and the time to expiration is six months, what is the put option price using a one-step binomial tree? Assume the up and down factors are 1.2 and .95, respectively.
| a | $3.50 | |
| b | $4.35 | |
| c | $3.68 |
Question 2
What is the price of a stock futures contract, given that one-year calls and puts with a strike price of $105 are available at prices of $5 and $7, respectively? The risk-free rate of interest is 2.0%. Use put-call parity.
| a | 103.16 | |
| b | $100.92 | |
| c | 105.26 |
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