The share price of Asian Paints on July 1 is Rs 1400 and a September futures contract on Asian Paints has price of Rs 1420.633. The contract size is 200 shares per futures contract, and the maturity is on September 28. The risk free rate is 6%. Show how you can replicate a long futures position using stocks and risk free assets.
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- On a particular day, the September S&P 500 stock index futures was priced at 960.50. The S&P 500 index was at 956.49. The contract expires 73 days later. Assuming continuous compounding, suppose the risk-free rate is 5.96 percent and the dividend yield on the index is 2.75 percent. Is the futures overpriced or underpriced? Assuming annual compounding, suppose the risk-free rate is 5.96 percent and the future value of dividends on the index is $5.27. Is the futures overpriced or underpriced?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.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 $5,000
- 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.Stock of HLL is currently trading in the market at Rs.220. The price of the stock is expected to go up or down by 15% in the first half year and by 5% in the second half year. The return on the Government security being traded in the market for same maturity is 4% p.a. You are required to calculate the value of a one-year American put option on HLL’s stock with strike price of Rs.250Currently (on June 23) the value of August BIST 30 index futures is 1560 while the spot BIST 30 index has a value of 1512. Given that the current annual interest rate in Turkey is 20% and the annual dividend yield of the BIST 30 index is 4%; b) Is there an arbitrage gap? If so; what may be the arbitrage gain in case of an arbitrage with 50 contracts? Note: Contract Multiplier is 10
- An index level of 1,000, what is the value of each contract? If a long stock index futures position on S& P 500 index futures at 1, 051 and has an index of 1, 058 at the settlement date, how much would be the trader’s gain? Complete Solution.On January 1, you sold one February maturity S&P 500 Index futures contract at a futures price of 2,412. If the futures price is 2,480 at contract maturity, what is your profit? The contract multiplier is $50. (Input the amount as positive value.)Suppose 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 one-year futures price on a particular stock - index portfolio is 1,124.91, the stock index currently is 1, 116, the one-year risk-free interest rate is 2.61%, and the year-end dividend that will be paid on a $1,116 investment in the index portfolio is $13.73. By how much is the contract mispriced? future price - parity priceAs a new trader of CPO futures you brought three lots at RM 1300 per tonne wich requires you to pay initial margin of 9000 and maintain rm 8000 per contract . prepare marked to market position for the following closing prices DAY 1 . 1294 2 1290 3 1282 4 1277 5 1272 show the leverage effect of futures trading if you close out in five daysThe price of Stock Y, which is currently $80, can go to $120, $90, or $60 in 6 months’ time. Security A pays $1 if the price of Stock Y in 6 months is $120, and zero otherwise. Security B pays $1 if the price of Stock Y in 6 months is $90, and zero otherwise. Security C pays $1 if the price of Stock Y in 6 months is $60, and zero otherwise. The prices of these securities are ??, ??, and ??, respectively. The discretely compounded risk-free interest rate is 5% per half-year (not annualized). When answering the questions below, explain your calculations. i. In the absence of arbitrage, what is the total cost of purchasing one unit each of securities A, B, and C? ii. If ?? = 0.2/1.05 ≈ 0.190476, what is the value of a 6-month European call on Stock Y with an exercise price of $75