Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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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.
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- Suppose the 6-month Mini S&P 500 futures price is 1,345.99, while the cash price is 1,335.81. What is the implied difference between the risk-free interest rate and the dividend yield on the S&P 500? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Implied difference %arrow_forwardThe share price of your favourite company is currently traded at a price of £60 and interest is compounded continuously at rate 3.7% per year. Assume that the share evolves according to a discrete time LogNormal process with time measured in years, drift μ= 0.15 and volatility o = 0.24. You decide to buy a European call option with a strike price of £63 and an expiration date of two years from now. What is the no- arbitrage price for this option? State your answer to the nearest pence. Do not enter the pound sign.arrow_forwardIs there an arbitrage opportunity in this market? Explain.arrow_forward
- The spot price of oil is $40 per barrel and the cost of storing a barrel of oil for one year is $3.3, payable at the end of the year. The risk-free interest rate is 2.6% per annum, continuously compounded. What is an upper bound for the one-year futures price of oil? Your answer should be correct to one decimal place. Assume there are no transaction costs involved in arbitraging over-priced futures contracts.arrow_forwardSuppose the quoted futures price for delivery in 1 year is $7.10. The current underlying price is $7 and the continuously compounded interest rate is 5%. The underlying does not pay dividends. How could you make a riskless arbitrage profit? Question 2Answer a. buy futures contracts, short sell the stock and invest in a bank account b. borrow from the bank to buy futures contracts and short sell the stock c. sell futures contracts, borrow and buy the stock d. sell future contacts, short sell the stock and invest in a bank accountarrow_forwardRecall that on a one-year Treasury security the yield is 4.0000% and 5.4000% on a two-year Treasury security. Suppose the one-year security does not have a maturity risk premium, but the two-year security does and it is 0.4%. What is the market’s estimate of the one-year Treasury rate one year from now? (Note: Do not round your intermediate calculations.) 6.8509% 6.0096% 7.6322% 5.1082%arrow_forward
- If you put on the futures position from 2 at a price of 0.043 $/peso, and if the peso appreciates from the spot rate of 0.045 $/peso by 15% in the next 6 months, what will be the total value of your position (the payable plus the future) in 6 months (again, this should be a negative number)?arrow_forwardA non-dividend paying asset is current priced at $25 and the risk-free interest rate is 8% per annum. Today, you enter into a six-month futures contract to buy a unit of this asset. Three months from now the underlying price has fallen to $18 (but note that the interest rate has not moved). Which of the answers below is closest to the fall in the futures price? Use discrete discounting. Question 7Answer a. $6.50 b. $5.50 c. $7.50 d. $4.50arrow_forwardThe ASX200 index is currently sitting at 6458. The risk-free interest rate is 2% per annum. Exactly three months remain before the Nov-19 SPI200 futures contract expires. The SPI200 is quoted at 6410. This futures price implies that the dividend yield on the ASX200 market index is: The futures price tells us nothing about the dividend yield 2.00% 4.98% 2.48% 0.98%arrow_forward
- The share price of your favourite company is currently traded at a price of £60 and interest is compounded continuously at rate 3.7% per year. Assume that the share evolves according to a discrete time LogNormal process with time measured in years, drift µ = 0.15 and volatility o = 0.24. You decide to buy a European call option with a strike price of £63 and an expiration date of two years from now. What is the no-arbitrage price for this option? State your answer to the nearest pence. Do not enter the pound sign.arrow_forwardNow suppose a financial institution has a duration gap of -4 years and $5 million in assets. The cheapest to deliver bond for Treasury futures contracts has a duration of 3 years. How will the manager hedge this interest rate risk? Assume the cheapest to deliver bond is trading at par.arrow_forwardSuppose the 6-month Mini S&P 500 futures price is 1,168.44, while the cash price is 1,150.55. What is the implied dividend yield on the S&P 500 if the risk-free interest rate is 4.3 percent? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Implied dividend yield %arrow_forward
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