Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Suppose an investor bought a call option for $2.39 on a single share of Beatnik

ID: 2762062 • Letter: S

Question

Suppose an investor bought a call option for $2.39 on a single share of Beatnik Designs Co. with a strike price of $35.00 when the firm's stock traded at $36.24. The call option had one year until expiration. One year later, the stock price had increased to $38.22. The stock price had therefore increases by 5.46%, and an investor who bought the stock and held it for a year would have earned 5.46%. What return did this investor earn by buying the call option?

Suppose the stock price had fallen to $34.23. Indicate the return that a stock investor would have eared by holding Beatnik Design's Co.'s stock. What is the retun that an investor would have earned if she had bought a call option on Beatnik Design Co.'s stock.

Explanation / Answer

Payoff on call option =Max(spot price-strike price-call premium,-call premium)

Spot Price = 38.22

Payoff on call option =Max(38.22-35-2.39,-2.39)

=0.83

Return = (Payoff/call premium)*100

=0.83*100/2.39

=34.73%

Spot Price = 34.23

Payoff on call option =Max(34.23-35-2.39,-2.39)

=-2.39

Return = (Payoff/call premium)*100

=-2.39*100/2.39

=-100%