Question

Find the EAR in each of the following cases (Use 365 days a year. Do not round intermediate calculations and round your final answers to 2 decimal places. (e.g., 32.16)):

Stated Rate (APR) Number of Times Compounded Effective Rate (EAR)
8.3 % Quarterly %
17.3 Monthly
13.3 Daily
10.3 Infinite

Answer 1

8.3/4= 2.075%

EAR= ((1+R)^4)-1

1.0275^4= 1.085-1

=8.5% is the EAR

17.3/12=1.441%

1.01441^12 -1=1.1873

EAR= 18.73%

13.3/365=0.0364%

1.000364^365=1.142

14.2%

For infinite compounding

EAR= E^rt

R= 10.3

t=1

E^10.3

=1.108

= 10.8%

Step-by-step explanation: