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Suppose that the 9-month and 12-month LIBOR rates are 2% and 2.3%, respectively. All rates are quarterly compounded. Assume that LIBOR is used as the risk-free discount rate.

What is the forward LIBOR rate for the period between 9 months and 12 months?

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Final answer:

The question involves calculating the forward LIBOR rate using given 9-month and 12-month rates, with reference to a two-year bond example where present value calculations are made based on future cash flows and discount rates.

Step-by-step explanation:

The question asks for the calculation of the forward LIBOR rate for the period between 9 months and 12 months given the 9-month and 12-month LIBOR rates. To calculate the forward rate, one can use the formula for the relationship between the spot rates (current period interest rates) and the forward rate.

This involves solving for the unknown forward rate given the present value of investments over the interest rates and compounding periods. In the context of bonds, the present value is commonly calculated using the cash flow, interest rate, and discount rate to determine what future payments are worth today. For the simple two-year bond example provided, its present value is calculated by discounting the interest payments and the principal repayment back to their present values.

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