Difference between forward contract and an option:-
5. (a) Explain the differences between a forward contract and an option. [2] (b) An investor...
Question 1 - (25 points) (a) Consider a 2-year forward contract to buy a coupon-bearing bond that will mature 2 year from today. The current price of the bond is $102. Sup- pose that on that bond 4 coupon payments of $6 are expected after 6 months, 12 months, 18 months and 24-months. We assume that the 6-month, 12- month, 18-month and 24-month risk-free interest rates (continuously com- pounded) are, respectively, 1%, 1.3%, 1.6% and 1.9% per annum. Determine the...
QUESTION 2 [7 marks] A short forward contract with exactly 360 days to maturity on a stock is entered into when the stock price is $9.00 and the risk-free interest rate is 15.00% per annum with continuous compounding for all maturities. The stock is certain to pay dividends per share of 20 cents in 60 days-time and 30 cents in 270 days-time. Assume one year is 365 days. Required: a. What are the forward price and the initial value of...
3. A stock is expected to pay a dividend of $1.25 per share in 3 months and also in 6 months. The stock price is $46 and the risk-free rate of interest is 6.5 % per annum with continuous compounding on all maturities. An investor has taken a short position in a six-month forward contract on the stock. What is the forward price?
Exercise 3. A short forward contract on a dividend-paying stock was entered some time ago. It currently has 9 months to maturity. The stock price and the delivery price is s25 and $24 respectively. The risk-free interest rate with continuous compounding is 8% per annum. The underlying stock is expected to pay a dividend of $2 per share in 2 months and an another dividend of $2 in 6 months. (a) What is the (initial) value of this forward contract?...
Some time ago, a company negotiated a long forward contract to purchase 100 ounces of gold at the price of $1400 per ounce. The contract will expire in three months (from now). The current three-month forward price of gold is $1420 per ounce. The three month risk-free interest rate (with continuous compounding) is 8%. What is the value of the forward contract to the company?
- On 8/15/2019, a 3-year forward contract, expiring 8/15/2022, on a non-dividend-paying stock was entered into when the stock price was $55 and the risk-free interest rate was 10.8% per annum with continuous compounding. 1 year later, on 8/15/2020, the stock price becomes $58. What is the "delivery" price of the forward contract entered into on 8/15/2019? Round your answer to the nearest 2 decimal points. For example, if your answer is $12.345, then enter "12.35" in the answer box....
A short forward contract that was negotiated some time ago will expire in six months and has a delivery price of $150 (agreed upon price at inception). Today’s forward price for a six-month forward contract on the same underlying is $173. The six month risk-free interest rate (with continuous compounding) is 5% per year. What is today’s value of the short forward contract?
A three-year long forward contract is entered into when the spot price of an investment asset is $30 and the risk free rate for all maturities. (With continuous compounding is 10%. the asset provides an income of $2 at the end of the first year and $2 at the end of the second. a) what is the 3 year forward price? b) what is the initial value of the forward contract? c) Two and a half years later, the spot...
Several months ago, XYZ entered into a long forward contract on an asset with no income. XYZ agreed to pay $30 to seller at maturity. Today, the contract matures in 9 months. The risk-free rate with continuous compounding is 8.5% per annum, the underlying asset price is $38.55. Calculate the value of the above forward contract. Round your answer to the nearest 2 decimal points. For example, if your answer is $12.345, then enter "12.35" in the answer box.
A one-year long forward contract on a gas portfolio is entered into when the gas portfolio price is $3 and the risk-free rate of interest is 3% per annum with continuous compounding. What are the forward price and the initial value of the forward contract? Six months later, the price of the gas portfolio is $2.6 and the risk-free interest rate is still 3%. What are the forward price and the value of the forward contract?