Exercise 17.2: Consider a ten-year T-note futures contract. The face value is $100,000, the initial margin is $1,500 and the maintenance margin is $1,000. The daily futures prices are 99.34, 99.88, 100.25, 100.31, 100.66. What's the total gain or loss for the long position? The short position? Which position requires a margin call? What's the final margin account balance for each position?
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- H4. A company buys a futures contract on 10,000 units of a commodity for $0.67 per unit. The initial margin is $2,000 and the maintenance margin is $1,000. What is the futures price per unit below which there will be a margin call?Question 7 A. What is the basic difference between a forward contract and a futures contract? How important is this difference in determining the contract prices? B. Is the “forward price” the same thing as the “value of the forward contract” Explain. C. A forward contract exists for a unit of two-year government securities with delivery to take place three years from now. Suppose the price of these securities three years from now is uniformly distributed from a low $800 to a high of $1,400. The one-year expected riskless rate of interest is 5 percent for all periods under consideration. (i). If investors are risk neutral, what should be the current forward price? (ii). Suppose now that investors are risk averse and that the forward price is $1,200. What do you know about the relationship between the market value of two-year government securities and overall consumption? (iii). Continue to assume (as in (ii)) that the current forward price (at time 0) is $1,200. One year from now (at…Refer to the Mini-S&P contract in Figure 22.1. Assume the closing price for this day.a. If the margin requirement is 23% of the futures price times the contract multiplier of $50, how much must you deposit with your broker to trade the March maturity contract? (Round your answer to the nearest whole dollar.)Required margin depositb. If the March futures price increases to 2594.70, what percentage return will you earn on your investment if you entered the long side of the contract at the price shown in the figure? (Do not round intermediate calculations. Round your answer to 2 decimal places.)Percentage return on net investment%c. If the March futures price falls by 1%, what is your percentage return? (Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 2 decimal places.)Percentage return on net investment%
- 12 An investor enters a three-year swap contracts by paying fixed price and receive spot price of Apple’s stock at the end of each year. The spot price of Apple’s stock is $515 now, and the risk-free rate is 3%. Draw the synthetic forwards contracts to mimicking this swap contract. Compute the rational fixed price based on arbitrage-free principal.Question 5 – Futures Arbitrage You are a financial advisor at Festo Ltd. Your client would like to explore the possibility of an arbitrage opportunity on the following futures contract. The futures contract will expire in 9 months. The underlying asset is a non-dividend paying share that is currently trading at a price of R120 per share. The risk-free interest rate per month is 0.67%. The current futures price is R125, however, the intrinsic or fair value of the futures is estimated to be R127.43.Required:5.1. Ignoring transaction and other costs, detail the appropriate arbitrage strategy. 5.2. Discuss any two differences between futures and forwards contracts.i will 10 upvotes urgent Futures What is the implied interest rate on a Treasury bond ($100,000, 6% coupon, semiannual payment with 20 years to maturity) futures contract that settled at 100'24? Do not round intermediate calculations. Round your answer to two decimal places. ______% If interest rates increased by 3%, what would be the contract's new value? Do not round intermediate calculations. Round your answer to the nearest cent. $ _______
- Question 4David sells an SAP 500 futures contract with a September settlement date when the index is 1650 By the settlement date, the S&P 500 index fall to 1360, The reum on David postion in the SAP 500 futures conrct is_____percentConsider a hypothetical futures contract where the current price is $ 212. The initial margin requirement is $ 10 and the maintenance margin requirement is $ 8. You enter into long 20 contracts and meet all margin requirements, but do not withdraw any excess margin. B. Complete the table below and explain all deposited funds. Suppose the contract was purchased at the settlement price of that day, so there is no gain or loss at current market prices on the day of purchase. C. What is your total profit or loss by the end of Day 6?Question 3 The quoted futures price corresponds to a forward rate of 8% per annum with quarterly compounding and actual/360. The parameters for Black’s model are therefore: Fk = 0.08, K= 0.08, R= 0.075, σk = 0.15, tk = 0.75 and P(0,tk+1) = e-0.075*1 =0.9577 Use these information to estimate the call price.
- An investor enters a long position in a Bitcoin April 2023 futures contract at $23,450. Each contract controls 5 bitcoins. The initial margin for each contract is $30,800, the maintenance margin is $28,000. The futures price changes to $23,020 at the end of the first day and $22,752 on the end of the second day. Compute the amount in the margin account at the end of each day for the long position and any variation margin needed. (Please provide a step-by-step solution on how to solve this problem with a calculator, thank you!)which one is correct please confirm? Q16: "If you purchase a $100,000 interest-rate futures contract for 105, and the price of the Treasury securities on the expiration date is 108" your profit is $3000 your loss is $3000 your profit is $8000 your loss is $800031. Suppose the index in the previous example has a value of 998 after 90 days. What is the value of a long position in the index forward contract, assuming a 5.23% continuously compounded risk-free rate and a 2.167% continuously compounded dividend yield? a) –Php87.629109 b) Php87.629109 c) Php93.414429 d) –Php93.414429 32. What is the price of a 1 x 4 FRA when the current 30-day LIBOR is 5.15% and the 100-day LIBOR is 5.85%? a) 6.124% b) 1.625% c) 0.23% d) 6.052% 33. Continuing with the previous problem for a 1 x 4 FRA, assume a notional principal of Php2 million and that the 70-day rate has climbed to 6.5%, which is higher than the contract rate determined in the previous problem. What is the value of FRA at maturity? a) Php1,462.2222 b) Php1,443.97202 c) Php49,093.333 d) Php48,480.5925