Suppose that the spot price of gold is US$1,700 per ounce. The quoted 1- year forward price of gold in the market is US$1,800, whereas it should have been $1,785. The 1-year US$ interest rate is 5% per annum. On the basis of the given information, answer the following: a) Is there an arbitrage opportunity? Why? b) If there is an arbitrage opportunity, show how will you exploit it? What will be the arbitrage profit? Hint: Recall that arbitrage means exploiting mispricing in the market to your advantage and any profit thus gained is risk-free. Use this understanding to formulate a response to this question.

Suppose that the spot price of gold is US$1,700 per ounce. The quoted 1- year forward price of gold in the market is US$1,800, whereas it should have been $1,785. The 1-year US$ interest rate is 5% per annum. On the basis of the given information, answer the following: a) Is there an arbitrage opportunity? Why? b) If there is an arbitrage opportunity, show how will you exploit it? What will be the arbitrage profit? Hint: Recall that arbitrage means exploiting mispricing in the market to your advantage and any profit thus gained is risk-free. Use this understanding to formulate a response to this question.

Financial Management: Theory & Practice

16th Edition

ISBN:9781337909730

Author:Brigham

Publisher:Brigham

Chapter7: Corporate Valuation And Stock Valuation

Section: Chapter Questions

Problem 4MC: Suppose the free cash flow at Time 1 is expected to grow at a constant rate of gL forever. If gL <...

See similar textbooks

Similar questions

You are given the following data on gold markets. What is the level of arbitrage profits that can earned? • Current spot price of gold = $1,275 • Futures price for a 1-year contract = $1,300 • 1-year risk free interest rate = 3% • Assume that there are no carrying costs or yield on buying/selling gold.
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…
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".)
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?
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.
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.)
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?
1 - year futures price of gold is Rs. 500/g. What should be the 2 year futures price of gold assuming an annual interest rate of 10% and there are no transaction costs? If a 2 year future's price on gold is Rs. 560/g, what kind of arbitrage opportunity arises and how are you going to earn that arbitrage profit? If a 2 - year futures price on gold is Rs. 540/g. what kind of arbitrage opportunity arises and how are you going to earn that arbitrage profit ?
Question 2 In 6-month from today, a U.S. based company will receive 2,000,000 Australian dollars (AUD) and the company wants to hedge the exchange rate risk. The expected AUD spot rate in 6-month will either appreciate by 5% (p.a) with 40% probability or depreciate by 10% (p.a.) with 60% probability. All rates are continuous compounding (please round your answers to 4 decimals in the exchange rate calculations). As the financial manager of the company, you look at Bloomberg and collect the following information: • U.S. interest rate: . . 4% p.a. 5% p.a. 1 AUD=0.63 USD Spot rate: Call option premium 0.03 USD, with exercise exchange rate 1 AUD-0.65 USD and 6-month maturity Put option premium 0.02 USD, with exercise exchange rate 1 AUD-0.64 USD and 6-month maturity Australian interest rate: 1) Calculate the 6-month forward exchange rate, describe how a forward agreement can be used to hedge the receivable money, and calculate the resulting amount of USD in 6 months.
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…
Assume that spot rate of New Zealand dollar is AUD 0.64/NZD, the 1-year forward rate of New Zealand dollar is AUD 0.62/NZD, 1-year interest rate on NZD is 9% and 1-year interest rate on AUD is 6%. If there is a possible arbitrage opportunity, the appropriate arbitrage strategy should be and the rate of return from covered interest arbitrage would be arbitrage; %. Select one: a. Inward; 0.38 b. Outward; 9.42 c. Inward; 9.42 d. Outward; 0.38