Question

In: Finance

(a) Suppose you enter into a long 6-month forward position at a forward price of $60....

(a) Suppose you enter into a long 6-month forward position at a forward price of $60. What is the payoff in 6 months for prices of $50, $55, $60, $65, and $70?

(b) Suppose you buy a 6-month call option with a strike price of $60. What is the payoff in 6 months at the same prices for the underlying asset?

(c) Comparing the payoffs of parts (a) and (b), which contract should be more expensive (i.e. the long call or long forward)? Why?

*YOU MUST ANSWER WITH DETAILED WORKING!!

Solutions

Expert Solution


Related Solutions

(a) Suppose that you enter into a long six-month forward contract on ABC stock at a...
(a) Suppose that you enter into a long six-month forward contract on ABC stock at a forward price of $50. What is the payoff of your long forward position in six months for ABC stock prices of $40, $45, $50, $55, and $60? (b) Suppose that you buy a six-month call option on ABC stock with a strike price of $50. What is the payoff in six months for ABC stock prices of $40, $45, $50, $55, and $60? (c)...
What is the payoff to a short forward position if the forward price is $60 and...
What is the payoff to a short forward position if the forward price is $60 and the underlying stock price at expiration is $73? What would be the payoff to a purchased put option with a strike price of $60 on the same underlying stock expiring at the same time?
Suppose you enter into a short position in 6-month futures contract on 100 ounces of gold...
Suppose you enter into a short position in 6-month futures contract on 100 ounces of gold at a futures price of $1,863 per ounce. The initial required margin is $5,000. Two months after establishing the position, you notice that the futures price at the end of the trading day is now $1,844 per ounce. What is the rate of return in your account considering the initial deposit of $5,000 that you made? (Note: You are asked for a rate of...
Suppose that the effective 6-month interest rate is 2% and the S&R 6-month forward price is...
Suppose that the effective 6-month interest rate is 2% and the S&R 6-month forward price is $1020. The premiums for S&R options with 6 months to expiration are as follows: Strike Call Put $950 $120.405 $51.777 1000 93.809 74.201 (1) Construct payoff and profit diagrams for the purchase of a 950-strike S&R call and sale of a 1000-strike S&R call (call spread). Verify that you obtain exactly the same profit diagram for the purchase of a 950-strike S&R put and...
You enter into a five-to-eight-month forward rate agreement with a firm. You agree to lend the...
You enter into a five-to-eight-month forward rate agreement with a firm. You agree to lend the firm a 3-month loan of $5 million starting 5 months from now, with a quarterly compounded forward interest rate of 2.5% per annum. Currently, the continuously compounded 5-month and 8-month interest rates are 3% per annum and 3.5% per annum, respectively. 1) What is the implied forward rate for the 3-month period starting 5 months from now? 2) What is the present value of...
Consider a 6-month forward contract on a stock whose current price is $40. The stock will...
Consider a 6-month forward contract on a stock whose current price is $40. The stock will not pay any dividend, and the risk-free interest rate is 4% per annum. The forward price of the stock is $43. Is there an arbitrage? If so, show the arbitrage strategy and resulting cash flows.
You enter into a five-to-eight-month forward rate agreement witha firm. You agree to lend the...
You enter into a five-to-eight-month forward rate agreement with a firm. You agree to lend the firm a 3-month loan of $5 million starting 5 months from now, with a quarterly compounded forward interest rate of 2.5% per annum. Currently, the continuously compounded 5-month and 8-month interest rates are 3% per annum and 3.5% per annum, respectively.1) What is the implied forward rate for the 3-month period starting 5 months from now?2) What is the present value of this forward...
Suppose that we entered a long position of 3-year forward on crude oil six months ago,...
Suppose that we entered a long position of 3-year forward on crude oil six months ago, when the forward price was $30 per barrel. Now, the spot price of the crude oil is $25 per barrel and the risk-free rate is 2% per annum. What is the value of the long position?
Question 2Suppose you enter into a 4.0-month forward contract on one ounceof silver when...
Question 2Suppose you enter into a 4.0-month forward contract on one ounce of silver when the spot price of silver is $9.0 per ounce and the risk-free interest rate is 6.5 percent continuously compounded. What is the forward price?9.60449.19718.807111.672Question 3Pixar stock is expected to pay a single $1.7 dividend in 2.0 months. Suppose you enter into a 7.0-month forward contract to buy one share of Pixar stock when the share price is $40.4 per and the risk-free interest rate is...
A foreign exchange trader working for a bank enters into a long position in a forward...
A foreign exchange trader working for a bank enters into a long position in a forward contract to buy one million pounds of sterling at an exchange rate of 1.6000 in three months. At the same time, another trader on the next desk takes a long position in 16 three month futures contracts on sterling. The futures price is 1.6000, and a futures contract is on £62,500. The forward and the futures prices both increase to 1.6040 at the end...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT