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.)

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.)

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

See similar textbooks

Similar questions

Assume you have the following asset and liability in your Balance Sheet: Asset - Bond A Modified Duration = 2.6 years Value = RM1.5 million Liability - Bond B Modified Duration = 3.1 years Value = RM1.0 million a. Calculate the duration gap. b. What is the expected change in Net Worth if interest increases by 1%? c. What should or could you to achieve immunised balance sheet? Note: Please show all workings.
The required return of a risk-free asset can be approximated by The pure time value of money and anticipated inflation premium. а. The 20-year T-bond yield. Ob. The 90-day T-bill rate plus the risk premium. C. The 90-day T-bill rate plus anticipated inflation premium. d.
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…
You are an investor in the world where short-selling assets is prohibited. Suppose that the price of asset X in period 0 is $200. This asset will pay a dividend of $8 one year from now in period 1. Let the riskless interest rate from 0 to period q be 5%.Assume the price for a future contract delivery in period 1 is $210. a) Can you make an arbitrage profit when $210 is the price? If so, state specifically what financial transaction? b) Now, assume the price for a futures contract with delivery in period 1 is K190. Can you make an arbitrage profit when this is the price? If so, state specifically what financial transaction you would make in 0 and period 1 to realize a profit. If not, explain?
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.
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 all maturities. 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 provide more than "buy low, sell high".)
Assume you have the following asset and liability in your Balance Sheet: Asset - Bond A Modified Duration = 2.6 years Value = RM1.5 million Liability - Bond B Modified Duration = 3.1 years Value = RM1.0 million a. Calculate the duration gap. b. What is the expected change in Net Worth if interest increases by 1%? Assume previous interest is 10% c. What should or could you to achieve immunised balance sheet? Note: Please show all workings.
If Po is the initial price of the security, P₁ is the price after you hold it for a year, and X represents a direct payment, an asset's rate of return is equal to: rate of return = (P₁ - Po) rate of return = (P₁ - Po) + X rate of return = (P₁-Po) / Po + XPo rate of return = (P₁ - Po)/Po + X
Suppose initially that two assets, A and B, will each make a single guaranteed payment of $400 in 1 year. But asset A has a current price of $280 while asset B has a current price of $320. Instructions: Round your answers to 2 decimal places. a. What are the rates of return of assets A and B at their current prices? Return on assetA =| |percent Return on asset B = percent Given these rates of return, which asset should investors buy and which asset should they sell? Buy asset (Click to solect) v and sell asset (Click to select) b. Assume that arbitrage continues until A and B have the same expected rate of return. When arbitrage ends, will A and B have the same price? (Click to select) Next, consider another pair of assets, C and D. Asset C will make a single payment of $600 in 1 year, while D will make a single payment of $800 in 1 year. Assume that the current price of C is $440 and that the current price of D is $680. c. What are the rates of return of assets C and D at their…
Consider two 1-year loans with a principal of $1 million and a default probability of 2% each. Assume that if one loan defaults, the other does not. Assume that in the event of default, the loan leads to a loss that can take any value between $0 and $1 million with equal probability, i.e., the probability that the loss is higher than $ ? million is 1 − ?. If a loan does not default, it yields a profit equal to $0.02 million. a) Compute the 1-year 99% Value at Risk (VaR) and Expected Shortfall (ES) of a single loan.
It is given that dP/dt = rP (r being the annually compounded interest rate and P is the amount in the account at any given time). Suppose that an account earns at an annual rate of r percent compounded continuously and a person is drawing an income of H dollars per year withdrawn continuously (impossible, but a modeling assumption). Use phase line analysis to analyze the behavior of the account. Discuss the meaning of any equilibrium points and their stability. If r = 10% (a reasonable rate for long-term stock investments), and H = $10,000, how long should an initial investment of $50,000 be left untouched so that when withdrawals begin the capital is not depleted?
Consider two 1-year loans with a principal of $1 million and a default probability of 2% each. Assume that if one loan defaults, the other does not. Assume that in the event of default, the loan leads to a loss that can take any value between $0 and $1 million with equal probability, i.e., the probability that the loss is higher than $x million is 1-x. If a loan does not default, it yields a profit equal to $0.02 million. a) Compute the 1-year 99% Value at Risk (VaR) and Expected Shortfall (ES) of a single loan. b) Compute the 1-year 99% VaR and ES for the portfolio of both loans. c) Does the VaR and the ES satisfy the subadditivity property in this case?