The bank states they will charge you annual interest of 20% APR and interest is calculated (compounded) daily. Assume 365 days in a year. A) What is the daily interest charge? 20%/365?  .055% B) What is the effective annual interest rate? (1+(20%/365))^365-1?   22.23% C) What is the simple interest over 2 years? And what is the effective interest over 2 years? Simple interest- 20%x2= 40% Effective interest- (1+(20%/365))^720-1= 48.35%

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 31P
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  1. The bank states they will charge you annual interest of 20% APR and interest is calculated (compounded) daily. Assume 365 days in a year.

A) What is the daily interest charge?

20%/365?  .055%

B) What is the effective annual interest rate?

(1+(20%/365))^365-1?   22.23%

C) What is the simple interest over 2 years? And what is the effective interest over 2 years?

Simple interest- 20%x2= 40%

Effective interest- (1+(20%/365))^720-1= 48.35%

 

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