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You have found three investment choices for a one-year deposit: 10% APR compounded monthly, 11% APR compounded annually, and 8% APR compounded daily

Finance Jun 07, 2021

You have found three investment choices for a one-year deposit: 10% APR compounded monthly, 11% APR compounded annually, and 8% APR compounded daily. Compute the EAR for each investment choice. (Assume that there are 365 days in the year.) 
For the case of 10% APR compounded monthly the EAR is En %. (Round to three decimal places.) 
For the case of 1W. APR compounded annually the EAR is 0%. (Round to three decimal places.) For the case of 8% APR cornpounded daily the EAR is 0%. (Round to three decimal places.) 
 

Expert Solution

Computation of EAR in the following cases:

 

For the case of 10% APR compounded monthly:

EAR = (1+i/n)^n - 1

Here, 

i = APR = 10%

n = 12 months (as compounded monthly)

EAR = (1+10%/12)^12 - 1 

= 1.1047 - 1

EAR = 0.10471 or 10.471% 

 

For the case of 11% APR compounded annually:

EAR = (1+i/n)^n - 1

Here, 

i = APR = 11%

n = 1 (as compounded annually)

EAR = (1+11%/1)^1 - 1 

= 1.11 - 1

EAR = 0.110 or 11.000% 

 

For the case of 8% APR compounded daily:

EAR = (1+i/n)^n - 1

Here, 

i = APR = 11%

n = 365 days (as compounded daily)

EAR = (1+8%/365)^365 - 1 

= 1.08328 - 1

EAR = 0.08328 or 8.328% 

 

 

 

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