uppose that Ace Insurance Company forecasts that stock market prices are going to increase considerably over the next three months and that they want to purchase500S&P 500 index futures contracts that have settlements that are six months out. If the index has a value of 3,000, and the value of a contract is 250 times the index’s value, then Ace Insurance Company will have invested $______ in the futures contracts.
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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.Donna Doni, CFA, wants to explore potential inefficiencies in the futures market. The TOBEC stock index has a spot value of 185. TOBEC futures contracts are settled in cash and underlying contract values are determined by multiplying $100 times the index value. The current annual risk-free interest rate is 6.0%.a. Calculate the theoretical price of the futures contract expiring six months from now, using the cost-of-carry model. The index pays no dividends.The total (round-trip) transaction cost for trading a futures contract is $15.b. Calculate the lower bound for the price of the futures contract expiring six months from now.Suppose that March oil futures have the price of $65/barrel, and the size of the contract is 1,000 barrels. When the contract matures in March, what will be the profit of a single long futures contract if the spot price is $68.50/barrel? Only typed Answer and give Answer fast
- The current value of BSE SENSEX is 10000 and the annualized dividend yield on the index is 5%. A six-month-futures contract on the BSE SENSEX is quoted at 10200. If the return on Treasury Bills available in the market for the same maturity is 5% and 25 % of the stocks included in the index will pay dividends during the next six months, you are required to a. Determine whether index futures is overpriced or under priced. b. Show risk-free arbitrage profits, if any, available to the investor irrespective of the value of the SENSEX on maturity with detail workings, assuming that the SENSEX on maturity can be i. 9900 orii. 10250 Solve fast pleaseSuppose the ASX200 Index is currently at 7,406, the expected dividend yield on the index is 2 percent per year, and the risk-free rate is 0.35%. Using the current price of ASX200 futures contracts that expire in six months recommend a program trading strategy for buying or selling the futures?The spot price of gold today is $1, 507 per troy ounce, and the futures price for a contract maturing in seven months is $1, 548 per troy ounce. If Golddy Plc puts on a futures hedge today and lifts the hedge after five months. a) Calculate the cost of carry for gold. b) If the spot price of gold in five months' time turns out to be $1,520. What will be the futures price five months from now? c) How much is the basis in five months' time?
- You 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)Consider the futures contract written on the S&P 500 index and maturing in one year. The interest rate is 3%, and the future value of dividends expected to be paid over the next year is $35. The current index level is 2,000. Assume that you can short sell the S&P index.a. Suppose the expected rate of return on the market is 8%. What is the expected level of the index in one year?b. What is the theoretical no-arbitrage price for a 1-year futures contract on the S&P 500 stock index?c. Suppose the actual futures price is 2,012. Is there an arbitrage opportunity here? If so, how would you exploit it?a. 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?
- Suppose that the value of the S&P 500 stock index is 2,000.a. If each E-mini futures contract (with a contract multiplier of $50) costs $25 to trade with a discount broker, how much is the transaction cost per dollar of stock controlled by the futures contract?b. If the average price of a share on the NYSE is about $40, how much is the transaction cost per “typical share” controlled by one futures contract?c. For small investors, a typical transaction cost per share in stocks directly is about 10 cents per share. How many times the transactions costs in futures markets is this?It is July 16. A company has a portfolio of stocks worth $100 million. The beta of theportfolio is 1.2. The company would like to use the December futures contract on a stock index to change the beta of the portfolio to 0.5 during the period July 16 to November 16. Theindex futures price is currently 2,000 and each contract is on $250 times the index. (a) Whatposition should the company take? (b) Suppose that the company changes its mind anddecides to increase the beta of the portfolio from 1.2 to 1.5. What position in futurescontracts should it take?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?