A Eurodollar futures quote for the period between 5.1 and...

A Eurodollar futures quote for the period between 5.1 and 5.35 years in the future is 97.1 . The standard deviation of the change in the short-term interest rate in one year is $1.4 \%$. Estimate the forward interest rate in an FRA.

Key Concepts

Eurodollar Futures

Eurodollar futures are financial contracts whose prices reflect the market's expectation of future short?term U.S. dollar interest rates. They are quoted as 100 minus the expected interest rate, and thus provide a straightforward mechanism for traders to infer the anticipated LIBOR rate at a specific future date. These futures are widely used for hedging and speculation in the interest rate markets.

Forward Rate Agreement (FRA)

A Forward Rate Agreement is a financial contract that allows two parties to lock in an interest rate to be applied on a notional amount at a specified future period. It is used to hedge against the risk of interest rate fluctuations or to take a position on future movements. The FRA specifies an agreed-upon rate, and at settlement, the difference between this rate and the actual market rate is exchanged.

Forward Interest Rate

The forward interest rate is the rate implied by current interest rates for a loan or deposit that will occur in the future over a specified period. It is derived from the term structure of interest rates and is essential in pricing interest rate derivatives like FRAs and in financial models for projecting future cash flows.

Interest Rate Volatility

Interest rate volatility measures the degree of variation in interest rates over time. In the context of derivatives pricing and interest rate modeling, it quantifies the uncertainty or risk associated with changes in the short-term rates. This volatility is particularly important for adjusting derivative prices for the non-linear effects of rate movements over different time horizons.

Convexity Adjustment

The convexity adjustment is an adjustment made to account for the impact of interest rate volatility when comparing different interest rate instruments, such as Eurodollar futures and FRAs. Since the pricing of these instruments may involve non-linear relationships due to varying settlement conventions and the effects of volatility, the convexity adjustment ensures that the forward rate estimated from futures prices adequately reflects these dynamics.

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