(b) The DAX cash price is 12,000, the interest rate or 'risk-free' rate is 4% and the dividend yield on the DAX index is 2% presently. What are the expected prices of the 3, 6 and 9 month DAX financial futures contracts?
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- A Treasury bond futures contract has a settlement price of 89’08. What is the implied annual yield?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.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.
- 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 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 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
- 3. Suppose a financial asset, ABC, is the underlying asset for a futures contractwith settlement of 6 months from now. You know the following about this financial asset and futures contract in the cash market ABC is selling for $120; ABC pays $18 per year in two semiannual payments of $9, and the next semiannual payment is due exactly 6 months from now; and the current 6-month interest rate at which funds can be loaned or borrowed is 6%. a) What is the theoretical (or equilibrium ) futures price? b) Suppose that ABC pays an interest quarterly instead of semiannually, What would be the theoretical futures price for 3 months settlement? c) Suppose that the borrowing rate is 8% and the 6-month lending rate is 6%, What is the boundary for the theoretical futures price? SHOW YOUR SOLUTIONS, PLEASE DONT USE MS EXCELThe 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 priceSuppose the December CBOT Treasury bond futures contract has a quoted price of 80-07. What is the implied annual interest rate inherent in the futures contract? Assume this is a a 20 year bond with semi-annual interest payments. The face value of the bond is $1000, and the semi-annual coupon payments are $30.(a) 6.86%(b) 7.22%(c) 7.60%(d) 8.00%(e) 8.40%
- Suppose the 180-day futures price on crude oil is $110.00 per barrel and the volatility is 20.0%. Assume interest rates are 3.5%. What is the price of a $120 strike call futures option that expires in 180 days?The S&P portfolio pays a dividend yield of 1% annually. Its current value is 2,000. The T-bill rate is 4%. Suppose the S&P futures price for delivery in 1 year is 2,050. Construct an arbitrage strategy to exploit the mispricing and show that your profits 1 year hence will equal the mispricing in the futures market.Suppose that the futures price is 20 the strike place of nine month European call on the futures is $19 and the frisky rate is 8% per annum and the value of the option is three dollars. What is the value of the put option with the same street, price and time to maturity.