Question

Find the APR, or stated rate, in each of the following cases (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.):

Stated Rate (APR) | Number of Times Compounded | Effective Rate (EAR) |

% | Semiannually | 10.50% |

Monthly | 11.4 | |

Weekly | 9.1 | |

Infinite | 12.8 |

Answer #1

EAR=(1+APR/m)^m-1

where m=compounding periods

1.

0.105=(1+APR/2)^2-1

(0.105+1)^(1/2)=1+APR/2

Hence

APR=[(0.105+1)^(1/2)-1]*2

=**10.24%**

**2.**

0.114=(1+APR/12)^12-1

Hence

APR=[(1+0.114)^(1/12)-1]*12

which is equal to

=**10.84%(Approx).**

**3.**

0.091=(1+APR/52)^52-1

Hence

APR=[(1+0.091)^(1/52)-1]*52

which is equal to

=**8.72%(Approx)**

**4.**

EAR=(e^APR)-1

where e=2.71828

0.128=(2.71828^APR)-1

(1+0.128)=2.71828^APR

Taking log on both sides;

log 1.128=APR*log 2.71828

Hence APR=log 1.128/log 2.71828

which is equal to

=**12.04%(Approx).**

Find the APR, or stated rate, in each of the following cases.
(Do not round intermediate calculations and enter your
answers as a percent rounded to 2 decimal places, e.g., 32.16. Use
365 days in a year.)
Stated Rate (APR)
Number of Times
Compounded
Effective Rate (EAR)
%
Semiannually
14.50
%
%
Monthly
10.50
%
Weekly
10.50
%
Daily
8.50

Find the APR, or stated rate, in each of the following cases
(Do not round intermediate calculations. Enter your answers
as a percent rounded to 2 decimal places, e.g.,
32.16.):
Stated Rate (APR)
Number of Times Compounded
Effective Rate (EAR)
%
Semiannually
12.4
%
Monthly
13.3
Weekly
11.0
Infinite
14.7

Find the APR, or stated rate, in each of the following cases:
(Do not round intermediate calculations. Enter your answers
as a percent rounded to 2 decimal places, e.g.,
32.16.)
Stated Rate
(APR)
Number of Times
Compounded
Effective
Rate (EAR)
%
Semiannually
12.2
%
Monthly
13.1
Weekly
10.8
Infinite
14.5

Find the APR, or stated rate, in each of the following cases
(Do not round intermediate calculations. Enter your answers
as a percent rounded to 2 decimal places, e.g.,
32.16.):
Stated Rate (APR)
Number of Times Compounded
Effective Rate (EAR)
%
Semiannually
12.1
%
Monthly
13.0
Weekly
10.7
Infinite
14.4

Find the APR, or stated rate, in each of the following cases:
(Do not round intermediate calculations. Enter your answers
as a percent rounded to 2 decimal places, e.g.,
32.16.)
Stated Rate
(APR)
Number of Times
Compounded
Effective
Rate (EAR)
%
Semiannually
10.6
%
Monthly
11.5
Weekly
9.2
Infinite
12.9

Find the APR, or stated rate, in each of the following cases
(Do not round intermediate calculations and enter your
answers as a percent rounded to 2 decimal places, e.g.,
32.16.):
Standard rate (APR) %
Number of times Compounded
Effective Rate (EAR)
semiannually
11.3%
Monthly
12.2%
Weekly
9.9%
Infinite
13.6%

Find the APR, or stated rate, in each of the following cases.
(Do not round intermediate calculations and enter your
answers as a percent rounded to 2 decimal places, e.g., 32.16. Use
365 days in a year.)
Stated Rate
(APR)
Number of
Times
Compounded
Effective Rate (EAR)
%
Semiannually
13.50
%
%
Monthly
9.50
%
Weekly
11.50
%
Daily
9.50

Find the APR, or stated rate, in each of the following cases
(Do not round intermediate calculations and enter your
answers as a percent rounded to 2 decimal places, e.g.,
32.16.):
Stated Rate (APR)
# of times Compounded
Efective rate (EAR)
semiannual
11.3%
monthly
12.2%
weekly
9.9%
infinite
13.6%

Find the APR, or stated rate, in each of the following
cases. (Use 365 days in a
year.Enter rounded answers as directed, but do not
use rounded numbers in intermediate
calculations.Enter your answers as a percent
rounded to 2 decimal places (e.g.
32.16).)
Stated Rate (APR)
Number of Times
Compounded
Effective Rate (EAR)
%
Semiannually
14
%
Monthly
9
%
Weekly
8
%
Daily
13

Find the EAR in each of the following cases. (Do not
round intermediate calculations and enter your answers as a percent
rounded to 2 decimal places, e.g., 32.16. Use 365 days in a
year.)
Stated Rate (APR)
Number of times compounded
Effective rate (EAR)
11%
Quarterly
15%
Monthly
17%
Daily
13%
Semiannually

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