Interest/Discount =

Compounds/Yr = 1

Interest/Discount =

Compounds/Yr = 1

This template converts interest/interest, interest/discount, discount/interest, or discount/discount rates with different compounding periods. A discount rate is distinguished from an interest rate by a negative compounding period. A continuous compounding period is entered as 0 for both interest and discount rates.

Rate One

Interest/Discount% : First interest/discount rate (enter as percent)

Compounds/Yr : Compounding periods per year (enter negative number for discount rate)

Rate Two

Interest/Discount% : Press the equal sign to compute the equivalent interest/discount rate

after entering the number of compounding periods.

Compounds/Yr. : Compounding periods per year (enter negative number for discount rate)

Formula: For rates r and d, (1+r/m)^m=(1+d/n)^n where m and n are negative for discount rates. Continuous compounding is handled through the exp() and ln() functions.

Source: The Theory of Interest, 2nd edition, Stephen G. Kellison, 1991, pp. 17-21.

Contributed by Don Phillips

Example 1: Convert a 10% interest rate compounded monthly to a discount rate compounded semi-annually.

Rate One:

-Enter 10% for the interest rate.

-Enter 12 for the # of compounding periods.

Rate Two:

-Enter -2 for the # of compounding periods. The negative sign indicates that a discount rate will be computed.

-The discount rate is automatically computed: 9.715%.

Example 2: Convert a discount rate of 7.25% compounded quarterly to an interest rate compounded continuously.

Rate One:

-Enter 7.25% for the discount rate.

-Enter -4 for the # of compounding periods.

Rate Two:

-Enter 0 for continuous compounding.

-The interest rate is automatically computed: 7.317%.

Interest/Discount

Compounds/Yr

Interest/Discount

Compounds/Yr

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