Express the term Effective interest rate per payment period, quarterly payments with weekly compounding?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Express the term Effective interest rate per payment period, quarterly payments with weekly compounding?

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Definition

The term Effective interest rate per payment period  is the interest rate that is computed for compounding over a given period viz. monthly, quarterly, weekly and daily.

In simple words, it is that rate at which an investor can earn or pay in a year after considering compounding.

The Effective interest rate is also known as The Effective Annual interest rate, Effective rate or Annual Equivalent Rate.

Further, Quarterly payments with weekly compounding would mean that For all the Quarterly Payments, the interest amount  will be added to the principal amount for next 52 days.

Formula

Finance homework question answer, step 2, image 1                                        

                                           Where i = Stated annual interest rate,

                                                      n = Number of Compounding Periods.

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