Consider a market with a risk$-$free interest rate of $3\%.$ Suppose you have a short position

in a put option $P$ and a long position in a call option $C$ on a stock with current price $43.$

The strike price of both options is $41$ and they both expire in one year. The price of the

call option is $4\mathrm{.}5.$ Assuming that the market admits no arbitrage opportunities, what is

your profit if the price of the underlying stock at expiration is $45?$

Answer: