•Suppose that gold currently sells for $1,200 an ounce. If the risk-free interest rate is .1% per month, a six-month maturity futures contract should have a futures price of
•
•
•If the contract has a 12-month maturity, what is the price of the futures?
Compute the price of the futures using the equation as shown below:
Future price = Spot price * ( 1 + Interest rate ) Period
= $1,200 * ( 1 + .1% ) 6
=$1,207.218024
Hence, the price of the futures is $1,207.21804.
Compute the price of the futures if there is a 12-month matuirity using the equation as shown below:
Price of the futures = Spot price * ( 1 + Interest rate ) Period
= $1,200 * ( 1 + .1% ) 12
=$1,214.479465
Hence, the price of the future is $1,214.479465
•Suppose that gold currently sells for $1,200 an ounce. If the risk-free interest rate is .1%...
The current spot price of gold is $1200 per ounce. The riskless interest rate is 1% per month. For simplicity, assume there are no storage/security costs of gold. a) If you need to buy the gold in 8 months’ time, which position (long or short) will you take in the futures market to hedge the price risk of the gold? b) What is the arbitrage-free futures price for the delivery of gold in 8 months’ time? c) If you see...
A) The spot price of the British pound is currently $2.00. If the risk-free interest rate on 1-year Government bonds is 4% in the United States and 6% in the United Kingdom, what must be the forward price of the pound for delivery 1 year from now? B) Assume that the spot price of gold is $1,500 per troy ounce, the risk-free interest rate is 2%, and storage and insurance costs are zero. 1) What should be the forward price...
]
Question 4 (10 marks) Suppose the spot price of gold is $1,500 per troy ounce today. The futures price of gold for delivery in 1 year is $1,530 per troy ounce. Assume that the one-year gold futures contract is correctly priced and there are no storage and insurance costs. Also assume that the risk-free rate is compounded annually and you can borrow and lend money at the risk-free rate. a). What is the theoretical parity price of a two-year...
a. If the spot price of gold is $980 per troy ounce, the risk-free interest rate is 6%, and storage and insurance costs are zero, what should be the forward price of gold for delivery in one year? (Round your answer to 2 decimal places.) Forward price b. Calculate risk-free arbitrage profits if the forward price is $1,080. (Round your final answers to nearest whole dollar amount.) Profit L
1. Consider the futures contract to buy/sell December gold for $500 per ounce on the New York Commodity Exchange (CMX). The contract size is 100 ounces. The initial margin is S3,000, and the maintenance margin is $1,500. 1.a. Suppose that you enter into a long futures contract to buy December for $500 per ounce on the CMX What change in the futures price will lead to a margin call? If you enter a short futures contract, what futures price will...
A stock index currently stands at 500. The risk-free interest rate is 5 percent per annum (with continuous compounding) and the dividend yield is 3 percent per annum. What should the futures price for a 3-month contract be?
Question 4 (10 marks) Suppose the spot price of gold is $1,500 per troy ounce today. The futures price of gold for delivery in 1 year is $1,530 per troy ounce. Assume that the one-year gold futures contract is correctly priced and there are no storage and insurance costs. Also assume that the risk-free rate is compounded annually and you can borrow and lend money at the risk-free rate. Part c) is not related to Parts a) – b). c)....
50.The oil price is currently $95 per barrel. The risk-free interest rate is 3% per annum, and the convenience yield of oil is 4% per annum. Consider an oil futures contract with a maturity of 6 months. Assuming the 6 months storage cost is equal to $1.50 per barrel, the no-arbitrage futures price is closest to: (a) 95.02 (b) 95.55 (c) 96.02 (d)96.55
4. Sun Board of Trade offers futures contract on Nyakato, Inc. Assume risk free interest rate is 0.25% per month and Nakato stock sells for $450 per share (a) Find the predicted futures price (on Nyakato) for delivery in 3 months. (5) (b) If the futures price on Nyakato stock in the market is $455.00, is the spot-futures parity relationship violated? If yes, show the strategy and the cash flows at time 0 and at time T (maturity) that can...
On January 21, gold is selling for $1387.25 per ounce in the spot market while the futures price for 3-month (90 day) April gold is $1402.50 per ounce on a 100 ounce contract. If the risk-free rate is 2.25%, determine what profit an investor will realize if he/she uses arbitrage (cash-and-carry or reverse cash-and-carry) to exploit the situation. (Assume the investor uses 2 gold futures contracts, and that no carrying costs are involved for storage or insurance.) Show all work....