The common stock of Sophia Enterprises serves as the underlying asset for the following derivative securities: $(1)$ forward contracts, $(2)$ European$-$style call options, and $(3)$ European$-$style put options.

a$.$ Assuming that all Sophia derivatives expire at the same date in the future, complete the following tables for each of the contract positions below. In calculating net profit, ignore the time differential between the initial derivative expense or receipt and the terminal payoff. Do not round intermediate calculations. Round your answers to the nearest cent. If your answer is zero, enter $"0".$ Use a minus sign to enter negative values, if any.

A long position in a forward with a contract price of $$51.$

$\backslash$table$[[\backslash$table$[[$Expiration Date$],[$Sophia Stock Price$]],\backslash$table$[[$Expiration Date$],[$Derivative$],[$Payoff$]],,\backslash$table$[[$Initial$],[$Derivative$],[$Premium$]],,$Net Profit$],[$$$25,$$$,$$$,,$$$,-77],[$$$30,$$$,$$$,,$$$,-72],[$$$35,$$$,$$$,,$$$,-67],[$$$40,$$$,$$$,,$$$,-62],[$$$45,$$$,$$$,,$$$,-57],[$$$50,$$$,$$$,,$$$,-52],[$$$55,$$$,$$$,,$$$,-47],[$$$60,$$$,$$$,,$$$,-42],[$$$65,$$$,$$$,,$$$,-37],[$$$70,$$$,$$$,,$$$,-32],[$$$75,$$$,$$$,,$$$,-27]]$

A long position in a call option with an exercise price of $$51$ and a front$-$end premium expense of $$5\mathrm{.}25.$