I need help with these questions for my Homework for a Finance Subject. Please write the answers in a detailed manner.

Question $1(40$ Marks$)$

Sun Screen has a zero coupon bond issue outstanding with a face value of $$30,000$ that matures in one year. The current market value of the firm$$s asset is $$42,400.$ The standard deviation of the return on the firm's asset is $45\%$

per year, and the annual risk$-$free rate is $4\%$ per year, compounded continuously. Based on the Black and Scholes model, what is the market value of the firm's equity and debt?

Question $2(60$ Marks$)$

Assume that a call and put option on ABC stock have the same strike price of $$30.$ The call premium is $$2$ and the put premium is $$3.$ Please calculate the profit of the call and put option for a person who purchases the options for the following stock prices?

a$.$ Stock price at expiry is $$25.(20$ Marks$)$

b$.$ Stock price at expiry is $$30.(20$ Marks$)$

c$.$ Stock price at expiry is $$35.(20$ Marks$)$