Find the cash flow from the mark-to-market proceeds on the contract. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Cash flow $
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- The multiplier for a futures contract on a stock market index is $50. The maturity of the contract is 1 year, the current level of the index is 1,800, and the risk-free interest rate is .5% per month. The dividend yield on the index is .2% per month. Suppose that after 1 month, the stock index is at 1,820.a. Find the cash flow from the mark-to-market proceeds on the contract. Assume that the parity condition always holds exactly.b. Find the holding-period return if the initial margin on the contract is $5,000the 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.The 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.
- A stock index currently stands at 100. The risk-free interest rate is 4% per annum (with continuous compounding) and the dividend yield on the index is 2% per annum. What should the futures price for a four-month contract be?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 2,145, and the June maturity contract is at Fo = 2,146. 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? (Enter your answer in numbers and not in percentage. Eg; Enter 0.12 and not 12%. Do not round intermediate calculations. Round your answer to 4 decimal places.) Answer is complete but not entirely correct. Fraction 0.7787Consider a six-month futures contract on the FTSE 100. Assume the stocks underlying the index provide an annual dividend yield of 6.2% and the value of the index is 6754.5. Calculate the price of the index (to the nearest full index point) if the continuously compounded risk-free interest rate is (i) 6.9% and (ii) 5.
- 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.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?The S&P portfolio pays a dividend yield of 1% annually. Its current value is 1,300. The T-billrate is 4%. Suppose the S&P futures price for delivery in 1 year is 1,330. Construct an arbitragestrategy to exploit the mispricing and show that your profits 1 year hence will equal the mispricing in the futures market.
- Suppose a stock is currently (time t = 0) worth 100. Further, suppose the one year annually compounded interest rate is 2%, and the two year annually compounded rate is 3%. Find the following:a) The forward price for a forward contract on the stock with maturity year T1 = 1. b) The forward price for a forward contract on the stock with maturity year T2 = 2.c) The forward price for a forward contract with maturity T1 = 1 on a ZCB with maturity T2 = 2.d) The forward price for a forward contract with maturity T1 = 1 on a forward contract on the stock with maturity T2 = 2 and delivery price K = 101.In two-months the price of stock will be either $23 or $27. The risk-free interest rate is 10%. The current price of the stock is $25. Suppose the price of the stock will be ST at the end of the two-months and the derivative on the stock will pays off St². Find the value of the derivative. (A) $621.39 (B) $729.39 (C) $529.39 (D) $639.26In two-months the price of stock will be either $23 or $27. The risk-free interest rate is 10%. The current price of the stock is $25. Suppose the price of the stock will be ST at the end of the two-months and the derivative on the stock will pays off Sr?. Find the value of the derivative. (A) $621.39 (B) $729.39 (C) $529.39 (D) $639.26