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- A one-year gold futures contract is selling for $1,247. Spot gold prices are $1,200 and the one-year risk-free rate is 2%. a) According to spot-futures parity, what should be the futures price? b) What risk-free strategy can investors use to take advantage of the futures mispricing, and what would be the profits from that strategy?A one year gold futures contract is selling for $1,685. Spot gold prices are $1,610 and the one year risk free rate is 3%. The arbitrage profit per contract implied by these prices is _____________. Group of answer choices 24.75 39.77 28.92 26.70 22.60The futures price of an asset is currently 80 and the risk-free rate is 4%. A six-month put on the futures with a strike price of 85 is currently worth 6.5. What is the value of a six-month call on the futures with a strike price of 85 if both the put and call are European? What is the range of possible values of the six-month call with a strike price of 85 if both put and call are American? Show all work and briefly discuss.
- Suppose the standard deviation of monthly changes in the price of a commodity is 0.4. The standard deviation of monthly changes in futures price for a contract on commodity B (similar to commodity A) is 0.5. The correlation between the futures and commodity price is 0.88. What is the hedge ratio and the optimal number of contracts if the commodity trader wants to hedge 10000 bushels and one contract is on 100bushels? Hedge ratio should be rounded off to three decimal places and optima number of contracts should be in whole numbers.Consider Commodity Z, which has both exchange-traded futures and option contracts associated with it. As you look in today's paper, you find the following put and call prices for options that expire exactly six months from now: Exercise Price Put Price Call Price $ 40.00 $ 0.59 $ 8.73 $ 45.00 $ 1.93 $ - $ 50.00 $ - $ 2.47 a. Assuming that the futures price of a six-month contract on Commodity Z is Fo, 0.5 = $48, what must be the price of a put with an exercise price of $50 in order to avoid arbitrage across markets? Similarly, calculate the "no arbitrage" price of a call with an exercise price of $45. In both calculations, assume that the yield curve is flat and the annual risk-free rate is 6 percent. b. What is the "no arbitrage" price differential that should exist between the put and call options having an exercise price of $40? Is this…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.
- Today is September 1. A futures contract on crude oil expiring on December 20 of the same year has a futures price of $44.70. The volatility on the futures contract is 23%, and the continuously compounded risk-free rate is 2%. Assume that there are 365 days in a year. a. What is the Black model price of a European call option on this futures contract, expiring on December 20 and with an exercise price of $46? b. What is the Black model price of a European put option on this futures contract, expiring on December 20 and with an exercise price of $50?The six months futures contract for gold is $432.8 while the one year futures contract for gold is $453. the risk free rate is 8%. Do you see an arbitrage opportunity?The futures price of a commodity such as wheat is $2.50 a bushel. Futures contracts are for 10,000 bushels, and the margin requirement is $2,500 a contract. The maintenance market requirement is $1,000. A speculator expects the price of the commodity to rise and enters into a contract to buy wheat. a. How much must the speculator initially remit? b. If the futures price rises to $2.60, what is the profit and return on the position? c. If the futures price declines to $2.47, what is the loss on the position?
- You are planning to make a hedging. The standard deviation of semiannual changes in a futures price on the gold is $0.96. The standard deviation of semiannual changes of the gold price is $0.87 and the coefficient of correlation between the two changes is 0.9. What is the optimal hedge ratio for a 6-month contract? Choose correct answer: a. The optimal hedge ratio is 0.8352 b. The optimal hedge ratio is 0.1 c. The optimal hedge ratio is 0.9931 d. The optimal hedge ratio is 0.8156The following table shows the futures price data today for Commodity X, and you purchased a futures contract today at the settlement price. (Contract size : 30,000 kg of Commodity X) Open High Low Settlement Change Open Interest Today $16.28 $16.33 $16.25 $16.29 $(0.02) 6,338 Calculate the total value of this futures contract. If the initial and maintenance margin requirements are 15% and 10% of the contract value respectively, calculate the amount of deposit required to execute this contract. If the prices of the commodity X in the next 3 trading days are : $16.27, $16.40 and $16.97, calculate the profit/loss per kilogram of commodity X, total value of the contract, and the mark-to-market settlement. If additional margin is required, indicate when it is necessary and the additional deposit amount.Suppose that the current spot price of corn is $720 per bushel. The one year risk-free rate is 6% per annum. The futures price for delivery of one bushel of corn in one year’s time is $792 per bushel. Assume that net costs (storage costs minus convenience yield) are $15 per bushel (over the next one year). Is the futures contract correctly priced? If not, what is the theoretically correct price for the futures contract and how could you take advantage of any mispricing? Please show full steps and explain.