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Can someone please show me step by step how to do these problems? Also, please give solutions with a 3-4 decimal place. Thank you in

Can someone please show me step by step how to do these problems? Also, please give solutions with a 3-4 decimal place. Thank you in advance! Explaination would be appreciated.

1. A put option on a stock with a current price of $39 has an exercise price of $41. The price of the corresponding call option is $3.15. According to put-call parity, if the effective annual risk-free rate of interest is 6% and there are three months until expiration, what should be the value of the put?

Value of the put:

2. A call option on Jupiter Motors stock with an exercise price of $65 and one-year expiration is selling at $7. A put option on Jupiter stock with an exercise price of $65 and one-year expiration is selling at $6.5. If the risk-free rate is 9% and Jupiter pays no dividends, what should the stock price be?

Stock price $

3. You are considering purchasing a put option on a stock with a current price of $44. The exercise price is $47, and the price of the corresponding call option is $3.55. According to the put-call parity theorem, if the risk-free rate of interest is 5% and there are 90 days until expiration, the value of the put should be ____________.

A. $3.55

B. $5.99

C. $6.11

D. $7.58

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