Question

In: Economics

An interest rate of 21% per year, compounded every 4 months, is equivalent to what effective...

An interest rate of 21% per year, compounded every 4 months, is equivalent to what effective rate per year? Show spreadsheet solutions

Solutions

Expert Solution

r = 21%

The compounding period (m) = 12 / 4 = 3

Effective rate per year = (1 + r / m)m - 1

                                    = (1 + 0.21 / 3)3 - 1

                                    = 1.225 - 1

                                    = 0.225

                                    = 22.5%

spreadsheet solutions:

r 21%
m 3
Effective rate per year =EFFECT(21%,3)
r 21%
m 3
Effective rate per year =0.225

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