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Find the Fixed Rate on a Plain Vanilla Interest Rate

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Find the fixed rate on a plain vanilla interest rate swap with payments every 180 days (assume a 360-day year) for one year.The prices of Eurodollar zero coupon bonds are 0.9756 (180 days) and 0.9434 (360 days) .


Definitions:

Investment

The allocation of resources, typically money, with the expectation of generating an income or profit.

Standard Deviation

A measure of the dispersion or volatility of asset returns, indicating the degree to which the returns vary from the average.

Population

The entire aggregation of items from which samples can be drawn for statistical measurement or inference.

Normal Distribution

A statistical distribution that is uniform around the average, indicating that observations close to the mean are more common than observations distant from the mean.

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