Spot price for gold is $500. Forward contracts are available to buy or sell gold at $550 in one year. An arbitrageur can borrow or invest money at 5% per year. Assume that the cost of storing gold is zero and that gold provides no income. If the one year forward price for gold is $505 rather than $550, how to set up arbitrage positions? And how much is your profit?

Spot price for gold is $500. Forward contracts are available to buy or sell gold at $550 in one year. An arbitrageur can borrow or invest money at 5% per year. Assume that the cost of storing gold is zero and that gold provides no income. If the one year forward price for gold is $505 rather than $550, how to set up arbitrage positions? And how much is your profit?

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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YOU ARE A FINANCIAL ANALYST FOR A COMPANY THAT IS CONSIDERING A NEW PROJECT. IF THE PROJECT IS ACCEPTED, IT WILL USE A FRACTION OF A STORAGE FACILITY THAT THE COMPANY ALREADY OWNS BUT CURRENTLY DOES NOT USE. THE PROJECT IS EXPECTED TO LAST 10 YEARS, AND THE ANNUAL DISCOUNT RATE IS 10% (COMPOUNDED ANNUALLY). YOU RESEARCH THE POSSIBILITIES, AND FIND THAT THE ENTIRE STORAGE FACILITY CAN BE SOLD FOR €100,000 AND A SMALLER (BUT BIG ENOUGH) FACILITY CAN BE ACQUIRED FOR €40,000. THE BOOK VALUE OF THE EXISTING FACILITY IS €60,000, AND BOTH THE EXISITING AND THE NEW FACILITIES (IF IT IS ACQUIRED) WOULD BE DEPRECIATED STRAIGHT LINE OVER 10 YEARS (DOWN TO A ZERO BOOK VALUE). THE CORPORATE TAX RATE IS 40%. DISCUSS WHAT IS THE OPPORTUNITY COST OF USING THE EXISTING STORAGE CAPACITY?
Dev
Southern Tours is considering acquiring Holiday Vacations. Management believes Holiday Vacations can generate cash flows of $218,000, $224,000, and $231,000 over the next three years, respectively. After that time, they feel the business will be worthless. If the desired rate of return is 11.5 percent, what is the maximum Southern Tours should pay today to acquire Holiday Vacations? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
ABC mines copper with fixed costs of $0.50/lb and variable cost of $0.40/lb. The 1-year forward price of copper is $1/lb. The 1-year continuously compounded interest rate is 6%. If ABC does nothing to hedge copper price risk, what is its profit 1 year from now (per pound of copper)? If, on the other hand, ABC sells forward its expected copper production, what is its estimated 1-yearprofit from now? In both scenarios, assume the spot price of copper in 1 year can be $0.80, $0.90, $1.00, $1.10, and $1.20. 2) Compute ABC’s estimated profit in 1 year if it buys a put option with a strike of $1.00 and a premium of $0.04. Assume the spot price of copper in 1 year can be $0.80, $0.90, $1.00, $1.10, and $1.20.
You pay $1,000 today for the following series of monthly cash flows: 150 0 200 15 300 300 0 100 100 200 -100 What was the NPV of your decision to make this deal? ( Answer is close to $200). *Assume nominal annual discount rate of 12%. * (Edited to add discount rate.)
Stuff, Inc. agrees to pay $200,000 today and $80,000 four years from today in exchange for $300,000 two years from today. What is the positive yield rate for this four year financial arrangement? (Leave your answer to decimal form, round it to 3 decimal places)
Please show working Someone promises to pay you $1,000 in years 5, 10 and 15 for a total of $3,000. Assume your required return is 8%. a. what is the duration of this promise to pay you $3,000 over 15 years? b. what's the convexity? c. using the duration estimate alone, what is the estimated percentage price change in t=0 value if rates are expected to increase 2%?
Investment X offers to pay you $5,400 per year for 9 years, whereas Investment Y offers to pay you $7,500 per year for 5 years. If the discount rate is 6 percent, what is the present value of these cash flows? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) If the discount rate is 21 percent, what is the present value of these cash flows? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.)
The price of gold is currently $1700 per ounce. The forward price for delivery in one year is $1800. An arbitrageur can borrow money at 5% per annum. What should the arbitrageur do? Assume that the cost of storing gold is zero and that gold provides no income.
A new investment offers TimeTek future cash flows of $Q in six years and SP in 12 years. Assuming a negative interest rate of throughout the entire time, TimeTek will pay up to $50,000 today to receive these future cash flows. If the interest rate becomes zero (r=0%), what will TimeTek be willing to pay for these same cash flows $Q and SP? O Less than $50,000 O $50,000 O Not enough information to determine More than 50,000
Consider the following two mutually exclusive investments allernatives: Suppose that your firm needs either machine for only two years. The net proceeds from the sale of machine B are estimated to be $200. What should be the required net proceed from the sale of machine A in two years so that both machines could be considered economically indifferent at an interest rate of 10%?(a) $750(b) $780(c) $800(d) $850
(i) Databank holds ¢460million T-Bill but it needs cash to settle an investor whose investment has matured and is expected to be paid ¢400 million. You have been asked to approach Ecobank to sell the T-Bill for ¢415 million on the morning of 19th May, 2008 with agreement to repurchase the bill on the evening of 23rd May, 2008. What is the cedi cost of this transaction to Databank? What is the Repo Rate on this transaction?

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