You deposit $175,000 in a savings account. The APR (Annual Percentage Rate) is 6%. Calculate the following: B) Assuming that the interest is compounded every month, what is the amount accumulated after ten years? For this one I am not sure what equation to use, I have gotten two separate answers: EAR- (1+.06/12)^12-1= 6.168% ---- 175000*(1.06168)^10= $318,400.99 EAR- (1+.06/12)^12*10-1= 81.94% or 1.8194 --- 175,000(1.8194)= 318,395 Which one is right? C) Assuming that the interest is compounded every day, what is the amount accumulated after ten years? EAR- (1+.06/365)^365-1= 6.183% ----- 175000*(1.06183)^10= $318,851.13 Am I doing this correctly or should I use: EAR- (1+.06/365)^365*10-1= ?

Principles of Accounting Volume 2
19th Edition
ISBN:9781947172609
Author:OpenStax
Publisher:OpenStax
Chapter11: Capital Budgeting Decisions
Section: Chapter Questions
Problem 6MC: You want to invest $8,000 at an annual Interest rate of 8% that compounds annually for 12 years....
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  1. You deposit $175,000 in a savings account. The APR (Annual Percentage Rate) is 6%. Calculate the following:

B) Assuming that the interest is compounded every month, what is the amount accumulated after ten years?

For this one I am not sure what equation to use, I have gotten two separate answers:

EAR- (1+.06/12)^12-1= 6.168% ---- 175000*(1.06168)^10= $318,400.99

EAR- (1+.06/12)^12*10-1= 81.94% or 1.8194 --- 175,000(1.8194)= 318,395

Which one is right?

C) Assuming that the interest is compounded every day, what is the amount accumulated after ten years?

EAR- (1+.06/365)^365-1= 6.183% ----- 175000*(1.06183)^10= $318,851.13

Am I doing this correctly or should I use: EAR- (1+.06/365)^365*10-1= ?

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