a.
To compute: The theoretical price of the future contract which expires after 6 months using the cost-of carry model. Cost of trading future contract is $15.
Introduction:
Future contract: It is supposed to be a legal agreement required to purchase or sell a commodity or asset in the future. This contract will specify the price at which the purchase or sale of the commodity or asset should be done at a specified time which will be agreed by the parties in advance.
b.
To calculate:The lower bound of the future contract which expires after 6 months.
Introduction:
Cost-of-carry model: Cost of carrying refers to the net cost of a holding position. This model is used when future contracts are priced. In other words, it is the sum of risk-free interest and storage cost after deducting the dividend yield.
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- In order to reduce risk when financing his new business, Linda intends to use a 3-month index futures contract. Assume that the index's current value is 2,040, the constantly compounded risk-free interest rate is 7.5% annually, and the dividend yield of that stock is 1% annually. Later, Linda believes that futures contracts on currencies can offer a greater return than futures contracts on indices. Consider storing a 3-year futures contract at a cost of MYR 6 per unit. Assume that the risk-free rate is 6% per year for all maturities and that the current price is MYR 760 per unit. Estimate the predicted price in the future. What will Linda do if she is an arbitrageur, and the real future price is higher than the predicted future price?arrow_forwardYou are a futures trader on Lean Hog at Kantar, New York. You have the following information on Lean Hog. The standard deviation of monthly changes in the spot price of Lean Hog Futures is (in cents per pound) 5. The standard deviation of monthly changes in the futures price of Lean Hog Futures the closest contract is 8. The correlation between the futures price changes and the spot price changes is 0.8. It is now December 17, 2019. Your client, a pork producer, is committed to purchasing 400,000 pounds of lean hog on January 15. The producer wants to use February Lean Hog futures contracts to hedge its risk. Each contract is for the delivery of 40,000 pounds of cattle. a. What is the optimal hedge ratio? (sample answer: 0.45 or 45%) b. Should the pork producer take a long or short hedge? (sample answer: short or long) c. How many contracts of lean hog futures does your client need to take to hedge the risk? (sample answer: 6 contracts)arrow_forwardThe DAX cash price is 15,000, the interest rate or ‘risk-free’ rate is -0.50% and the dividend yield on the DAX index is 2.0% presently. Calculate the bases and expected prices of the 6 and 12-month DAX financial futures contracts.arrow_forward
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- Consider these futures market data for the June delivery S&P 500 contract, exactly one year from today. The S&P 500 index is at 1,950, and the June maturity contract is at F0 = 1,951.a. If the current interest rate is 2.5%, and the average dividend rate of the stocks in the index is 1.9%, what fraction of the proceeds of stock short sales would need to be available to you to earn arbitrage profits?b. Suppose now that you in fact have access to 90% of the proceeds from a short sale. What is the lower bound on the futures price that rules out arbitrage opportunities?c. By how much does the actual futures price fall below the no-arbitrage bound?d. Formulate the appropriate arbitrage strategy, and calculate the profits to that strategy.arrow_forwarda. In order to reduce risk when financing his new business, Linda intends to use a 3-month index futures contract. Assume that the index's current value is 2,040, the constantly compounded risk-free interest rate is 7.5% annually, and the dividend yield of that stock is 1% annually. What is the future price? b. Later, Linda believes that futures contracts on currencies can offer a greater return than futures contracts on indices. Consider storing a 3-year futures contract at a cost of MYR 6 per unit. Assume that the risk-free rate is 6% per year for all maturities and that the current price is MYR 760 per unit. Estimate the predicted price in the future. What will Linda do if she is an arbitrageur, and the real future price is higher than the predicted future price?arrow_forwardLater, Linda believes that futures contracts on currencies can offer a greater return than futures contracts on indices. Consider storing a 3-year futures contract at a cost of MYR 6 per unit. Assume that the risk-free rate is 6% per year for all maturities and that the current price is MYR 760 per unit. Estimate the predicted price in the future. What will Linda do if she is an arbitrageur, and the real future price is higher than the predicted future price?arrow_forward
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- EBK CONTEMPORARY FINANCIAL MANAGEMENTFinanceISBN:9781337514835Author:MOYERPublisher:CENGAGE LEARNING - CONSIGNMENT