Question
Use the following information to answer requirements 1-3 A risk-free bond with face value of $1000 expiring one year from today can be bought or
Use the following information to answer requirements 1-3
A risk-free bond with face value of $1000 expiring one year from today can be bought or sold for $980. The spot price of oil today is $95 per barrel. The all-in cost of storing 10,000 barrels of oil over the next year is $25,000 (in present value). Oil pays no dividends and has no convenience yield.
Requirement 1: What is the no-arbitrage delivery price for a forward contract on a barrel of oil with delivery date one year from today? (Round to the nearest cent)
Requirement 2: Imagine the futures price for a barrel of oil delivered one year from today is $100 per barrel, and that you can buy or sell forwards at this price. Assume you can store at most 10,000 barrels of oil, and you need to pay the $25,000 in storage costs today. Further assume that you do not want to commit any of your own funds or keep any proceeds from sales today in cash. Fill the following table on your trading activity. How would you trade today oil on the spot market, oil futures and the risk-free bond in order to create a risk-free profit? (Enter "sell" or "buy" in the Trade column. Enter quantity, rounded to the nearest integer, in the Quantity column)
Asset | Trade(today) | Quantity |
Risk free bonds | ? | ? |
Oil Barrels | ? | ? |
Oil Futures | ? | ? |
Requirement 3: Given your trade in Requirement 2, how much profit would you make in a year (including any storage costs payments)?
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