You are considering purchasing a put option on a stock with a current price of $$22.$ The exercise price is $$24,$ and the price of the corresponding call option is $$2\mathrm{.}45.$ According to the put$-$call parity theorem, if the risk$-$free rate of interest is $4\%$ and there are $90$ days until expiration, the value of the put should be $$ Assume $365$ days in a year

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Question $25$

$2$ pts

The current stock price of Johnson & Johnson $($J&J$)$ is $$80,$ and the stock does not pay dividends. The instantaneous risk$-$free rate of return is $7\%.$ The instantaneous standard deviation of $J$&$J\text{'}$s stock is $40\%.$ You want to purchase a put option on this stock with an exercise price of $$71$ and an expiration date $45$ days from now. Assume $365$ days in a year

Using Black$-$Scholes, the put option should be worth today. Can i get a detailed explanation on how you got this? Excel perferably, but written is okay too! Thank you