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Weekly National Rates and Rate Caps

Interpolation

Linear interpolation is a way of estimating a value based on at least two other values. For example, a 9 month and 12 month rate can be used to approximate an 11 month rate.

 Available data Market Rate 9 month CD 2.00% Market Rate 12 month CD 3.50%

The 12 month CD is 3 months longer than the 9 month CD.
(12 - 9 = 3)

The 12 month CD yields 150 basis points more than the 9 month CD.
(350 – 200 = 150)

On average, the yield of the CD increases 50 basis points for every additional month of maturity.
(150 / 3 = 50)

Using linear interpolation, we estimate a 10 month CD would yield 2.50% and an 11 month CD would yield 3.00%.
(2.00% + 0.50% = 2.50%) and (2.50% + 0.50% = 3.00%)

In this example we would assume the comparable market rate for an 11 month CD is 3.00%, and the maximum allowable rate for a bank subject to Section 337.6 is 3.75%.

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Last Updated 05/04/2009 supervision@fdic.gov