consider a one-year forward contract on gold. Suppose that it costs $2 per ounce per year to store gold with payment being made at the end of the year. Assume that the spot price is $450 per ounce and the risk-free rate is 7% per annum for allmaturities. Assume continuous compounding. (a) What is the forward price F (0, 1) that does not result in arbitrage profit? (b) If the forward price is $460, do you get any arbitrage profit opportunity? If so, what is your strategy? (You need to providemore than "buy low, sell high".)

Answer information:Step 1:Given :Rate of Interest = R = 7% per annumSpot Price = S(0) = $ 450 per…

Answered: consider a one-year forward contract on…

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter8: Basic Stock Valuation

Section: Chapter Questions

Problem 4MC

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a. If the spot price of gold is $1,500 per troy ounce, the risk-free interest rate is 2%, and storage and insurance costs are zero, what should be the forward price of gold for delivery in one year? Use an arbitrage argument to prove your answer.b. Show how you could make risk-free arbitrage profits if the forward price is $1,550.
This question will compare two different arbitrage situations. Recall that arbitrage should equalize rates of return. We want to explore what this implies about equalizing prices. In the first situation, two assets, A and B, will each make a single guaranteed payment of $100 in 1 year. But asset A has a current price of $80 while asset B has a current price of $90.a. Which asset has the higher expected rate of return at current prices? Given their rates of return, which asset should investors be buying and which asset should they be selling?b. Assume that arbitrage continues until A and B have the same expected rate of return. When arbitrage ceases, will A and B have the same price?Next, consider another pair of assets, C and D. Asset C will make a single payment of $150 in one year while D will make a single payment of $200 in one year. Assume that the current price of C is $120 and that the current price of D is $180.c. Which asset has the higher expected rate of return at current…
Suppose the gold price is $300/oz., the 1-year forward price is 310.686, and the continuously compounded risk-free rate is 5%. a. What is the lease rate? b. Demonstrate a cash-and-carry strategy that provides the zero cash flow at time 0 and the maturity date. (You borrow to buy gold, sell the gold forward, and lend the gold, earning the lease rate.) c. What is the return on a cash-and-carry strategy in which gold is not loaned? (You borrow to buy gold and sell the gold forward.)
a. If the spot price of gold is $980 per troy ounce, the risk-free interest rate is 7%, and storage and insurance costs are zero, what should be the forward price of gold for delivery in one year? (Round your answer to 2 decimal places.) Forward price b. Calculate risk-free arbitrage profits if the forward price is $1,080. (Round your final answer to nearest whole dollar amount.) Profit
The current spot price of gold is $1200 per ounce. The riskless interest rate is 10% per annum. For simplicity, assume there are no storage/security costs of gold. a) What is the arbitrage-free forward price for the delivery of gold in 8 month's time?
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An investment has an installed cost of $537,800. The cash flows over the four-year life of the investment are projected to be $212,750, $229,350, $196,010, and $144,720, respectively. a. If the discount rate is zero, what is the NPV? (Do not round intermediate calculations.) b. If the discount rate is infinite, what is the NPV? (A negative answer should be indicated by a minus sign.) c. At what discount rate is the NPV just equal to zero? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a. NPV b. NPV c. IRR %
2. An investment has an installed cost of $412,670. The cash flows over the four-year life of the investment are projected to be $212,817, $153,408, $102,389, and $72,308. If the discount rate is zero, what is the NPV? If the discount rate is infinite, what is the NPV? At what discount rate is the NPV just equal to zero? Sketch the NPV profile for this investment based on these three points.
An investment has an installed cost of $532,800. The cash flows over the four-year life of the investment are projected to be $216,850, $233,450, $200,110, and $148,820, respectively. a. If the discount rate is zero, what is the NPV? (Do not round intermediate calculations.) b. If the discount rate is infinite, what is the NPV? (A negative answer should be indicated by a minus sign.) c. At what discount rate is the NPV just equal to zero? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a. NPV b. NPV c. IRR Q % l
The current price of gold is $300 per ounce. Carrying costs in total are 0.5% (not including interest) of the gold value payable in 6 months time. If the interest rate is 8%, is there an arbitrage opportunity if the gold futures price for delivery in six months is $310 per ounce? B. If an arbitrage opportunity exists, explain how you would conduct it and calculate the arbitrage profit. C. Why is it not possible in reality to perfectly hedge a portfolio using Options and/or futures Instruments? D. Explain the shortcomings of LTCM’s financial strategy that led to its eventual downfall.
Which is the answer?show steps with your formulas. Thank you
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