You enter into a futures arrangement to purchase 40 Alpacas. The futures price is $8400/Alpaca. You must deposit 60% of the purchase price into a margin account. The account pays 6% interest, compounded continuously. Over the next two days, the futures price of Alpacas fluctuates. After the first day, the price is $8430/Alpaca. After the second day, the price is $8420/Alpaca. You exit the arrangement after the second day. What is your profit if the risk-free interest rate is 9%, compounded continuously?
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- Three days ago, you entered into a futures contract to sell €125,000 at $1.40 per €. Over the past three days the contract has settled at $1.32, $1.28, and $1.26. You start with $3,000. What is your total profit or loss in $ for the 3-day period?the multiplier of a futures contract on the stock market index is $250. The maturity of the contract is one year. The current level of the index is 2550 , and the risk free interest rate is .0% per month. The dividend yield on the index is .2% per month. Suppose that after five months, the stock index is at $2495. Assume that the party condition always hold exactly. Find the holding period return for the short position if the initial margin of the contract is 10% of the original contract value.A trader buys two July futures contracts on frozen orange juice concentrate. Each contract is for the delivery of 15,000 pounds. The current futures price is 160 cents per pound, the initial margin is $6,000 per contract, and the maintenance margin is $4,500 per contract. What price change would lead to a margin call? Under what circumstances could $2,000 be withdrawn from the margin account?
- A company enters into a short futures contract to sell 25,000 units of a commodity for 70 cents per unit. The initial margin is $4,000 and the maintenance margin is $3,000. What is the futures price per unit above which there will be a margin call? O 76 cents O 66 cents 74 cents O 78 centsThe 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?A trader sells two July futures contracts on frozen orange juice. Each contract is for the delivery of 20,000 pounds. The current futures price is 150 cents per pound, the initial margin is $5,000 per contract, and the maintenance margin is $3,000 per contract. What price change would lead to a margin call? Under what circumstances could $8,000 be withdrawn from the margin account?
- 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 pleaseA company enters into a short futures contract to sell 10,000 units of a commodity for $0.5 per unit. The initial margin is $5000 and the maintenance margin is $3000. When will there be a margin call? Question 1Answer a. As soon as the futures price exceeds $0.7 per unit. b. As soon as the futures price exceeds $0.8 per unit. c. As soon as the futures price exceeds $0.5 per unit. d. As soon as the futures price exceeds $0.6 per unit.The spot price of silver is $11.00 per ounce and the futures expires in one year trades for $12.20, what is the implied cost of carry?
- The futures contract for settlement in 4 months is trading at F0 = $6.35 and the cash market is trading at S1 = $6.42. The 4-month interest rate on a continuously compounded basis is 2 percent. What is the arbitrage trade that is available, the transactions and the arbitrage profit? Buy now at S1 with borrowed money and enter a short forward contract at Fo. At time T deliver the underlying, receive F0 and pay back the loan plus interest. Net profit is: $0.4200 Buy now at S1 with borrowed money and enter a short forward contract at Fo. At time T deliver the underlying, receive F0 and pay back the loan plus interest. Net profit is: $0.0280 Sell short S1 and invest proceeds at r and enter long a forward contract at Fo; at time T receive the underlying for F0, cover the short and also collect the principal plus from the bank. Net profit is: 0.1129Suppose that you bought two one-year gold futures contracts when the one-year futures price of gold was US$1,340.30 per troy ounce. You then closed the position at the end of the sixth trading day. The initial margin requirement is US$5,940 per contract, and the maintenance margin requirement is US$5,400 per contract. One contract is for 100 troy ounces of gold. The daily prices on the intervening trading days are shown in the following table. Day Settlement Price 0 1340.30 1 1345.50 2 1339.20 3 1330.60 4 1327.70 5 1337.70 6 1340.60 Assume that you deposit the initial margin and do not withdraw the excess on any given day. Whenever a margin call occurs on Day t, you would make a deposit to bring the balance up to meet the initial margin requirement at the start of trading on Day t+1, i.e., the next day. a. What are the initial margin and maintenance margin on your margin account?Suppose that you bought two one-year gold futures contracts when the one-year futures price of gold was US$1,340.30 per troy ounce. You then closed the position at the end of the sixth trading day. The initial margin requirement is US$5,940 per contract, and the maintenance margin requirement is US$5,400 per contract. One contract is for 100 troy ounces of gold. The daily prices on the intervening trading days are shown in the following table. Day Settlement Price 0 1340.30 1 1345.50 2 1339.20 3 1330.60 4 1327.70 5 1337.70 6 1340.60 Assume that you deposit the initial margin and do not withdraw the excess on any given day. Whenever a margin call occurs on Day t, you would make a deposit to bring the balance up to meet the initial margin requirement at the start of trading on Day t+1, i.e., the next day. b. Fill the appropriate numbers in the blank cells in the following table. (Hint: See solution to Q19 in Lesson 2 Learning…