Question
You have a long position in a European put option on Tesla stock (TSLA). The option has a strike price of $140 and matures in
You have a long position in a European put option on Tesla stock (TSLA). The option has a strike price of $140 and matures in two months. Currently, TSLA is selling for $160 per share. The risk-free interest rate is 3% annually.
A. The annual standard deviation of the historical TSLA return is 52%. What is the Black-Scholes value of the TSLA put? You do not need to show your calculation steps for this subquestion.
B. In fact, the market price of the TSLA put is $10. What is the implied volatility of the TSLA return? You do not need to show your calculation steps for this subquestion.
C. Suppose that you want to convert your long put position into a long call position. How can you do this without trading any options (calls and puts)? Briefly explain.
D. Suppose that you want to convert your long put position into a risk-free portfolio that generates $140 (= K) in two months. How can you do this? Briefly explain.
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