Consider a stock currently trading at $$60.$ There is a call and a put option available at exercise price of $$60$ and a time to expiration of nine months. The call is priced at $$4\mathrm{.}25,$ and the put at $$3\mathrm{.}25.$ There are no dividends on the stock and the option is European.

Assume that all transactions consist of $100$ shares or one contract $(100$ options$).$ Use this information to answer the following questions.

b$.$ Suppose the investor constructed a protective put $($long the stock, long the put$)$ position.. At expiration the stock price is $$67.$ What is the investor's profit $($loss$)?$ What is the maximum profit and maximum loss from the transaction? What is the breakeven stock price at expiration for the transaction?