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# Question About Price Of a Forward Contract

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You enter into a forward contract to buy a 10 year, zero-coupon bond that will be issued in one year. The face value of the bond is \$1,000, and the 1 year and 11 year spot interest rates are 4% per annum and 9% per annum respectively. Both of these interest rates are expressed as effective annual yields (EAY's).

a) What is the forward price of your contract?

b) Suppose both the spot rates unexpectedly shift downward by 1%. What is the price of a forward contract otherwise identical to yours?

**respond with answers in EXCEL and show formulas

#### Solution Preview

You enter into a forward contract to buy a 10 year, zero-coupon bond that will be issued in one year. The face value of the bond is \$1,000, and the 1 year and 11 year spot interest rates are 4% per annum and 9% per annum respectively. Both of these interest rates are expressed as effective annual yields (EAY's).

a) What is the forward price of your contract?

b) Suppose both the spot rates unexpectedly shift downward by 1%. What is the price of a ...

#### Solution Summary

The solution calculates the price of a forward contract for different spot interest rates.

\$2.19

## Finance Questions: Stock Prices, Gold Value

A stock is expected to pay a dividend of \$2 per share in one month and in four months. The stock price is \$40 and the risk-free rate of interest is 6% per annum with continuous compounding for all maturities. An investor has just taken a short position in a five-month forward contract on the stock.
What are the forward price and the initial value of the forward contract?
Three months later, the price of the stock is \$48 and the risk-free rate of interest is still 6% per annum. What are the forward price and the value of the short position in the forward contract?
Make sure that you show or explain all calculations. Make sure you answer all questions above.

Suppose the current spot price for gold is \$800 per ounce. The risk-free interest rate available to all investors for borrowing or lending is 0.50% per month (monthly compounding). Forward contracts are available to buy or sell gold for delivery in 1 year; the forward price for gold is \$890 per ounce. You have a large inventory of gold.
Assume that storage costs for gold are zero. Is there an arbitrage opportunity? If you answer "YES," then show step by step how you would make a profit and calculate the profit per ounce of gold. If you answer "NO," then show why there is no arbitrage opportunity.

Now assume that the present value of the storage cost for gold is \$100 per ounce for one year of storage. Is there an arbitrage opportunity? If you answer "YES," then show step by step how you would make a profit and calculate the profit per ounce of gold. If you answer "NO," then show why there is no arbitrage opportunity.
Make sure that you show or explain all calculations. Make sure you answer all questions above.

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