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Consider the following option: Underlying stock currently trades at 100 and is lognormally distributed as expiration. Riskfree rate of 0%. Sigma at 20% annually for

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Consider the following option: Underlying stock currently trades at 100 and is lognormally distributed as expiration. Riskfree rate of 0%. Sigma at 20% annually for log returns. 63 days to go before expiration. Put strike at 90. Q1a. What is the prob of option expring ITM? Q1b. What is the avg underlying stock price when put expires ITM? Q1c. What is the conditional avg put pmt at expiration? Q1d. How much should the put be priced today (for additional exercise, redo the question above for 110 put; 90 call; 110 call) Consider the following option: Underlying stock currently trades at 100 and is lognormally distributed as expiration. Riskfree rate of 0%. Sigma at 20% annually for log returns. 63 days to go before expiration. Put strike at 90. Q1a. What is the prob of option expring ITM? Q1b. What is the avg underlying stock price when put expires ITM? Q1c. What is the conditional avg put pmt at expiration? Q1d. How much should the put be priced today (for additional exercise, redo the question above for 110 put; 90 call; 110 call)

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