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

1) A stock is expected to pay a dividend of $2.20 per share in 1 months and in 4

ID: 2652637 • Letter: 1

Question

1) A stock is expected to pay a dividend of $2.20 per share in 1 months and in 4 months. The current stock price is $51, and the risk-free interest rate is 6% per annum with continuous compounding for all maturities. An investor has just taken a long position in a 5-month forward contract on the stock. Calculate the forward price.

2) Suppose an investor entered into a long forward contract and also entered into a long futures contract. Which statement is true?

3) A company enters into a long futures contract to buy 200 ounces of gold for $1,278 per ounce. The initial margin is $4,000 and the maintenance margin is $1,000. What gold futures price per ounce will trigger a margin call? (margin of error: +/- $1)

4) It is April and a trader buys 100 September put options with a strike price of $21. The stock price is $17.2 and the option price is $4.44.

At the expiration, the stock price becomes $18.8. Calculate the option profit to the trader.

Explanation / Answer

1.

e=Epsilon Value

n=No of Period

r=Risk free Rate.

Forward Price Spot Price+ Carrying Cost-PV of Dividend Compounding Continous Compounding e=Epsilon Value , Mathematical constant and the value is 2.72 Forward Price=Spot Price*e^nr-Dividend*e^-nr

e=Epsilon Value

n=No of Period

r=Risk free Rate.

Present value of Dividend                                                                            2.03 Stock Price including carrying cost for 5 Months                                                                         52.29 Forward Price =Spot Price+Carrying cost-PV of Dividend                                                                         50.26