Question

Find the APR, or stated rate, in each of the following cases: |

a. |
An effective interest of 16% compounded semiannually |

b. |
An effective interest of 18% compounded monthly |

c. |
An effective interest of 14% compounded weekly |

d. |
An effective interest of 9% with continuous compounding |

Answer #1

a.EAR=[(1+APR/m)^m]-1

where m=compounding periods

0.16=[(1+APR/2)^2]-1

(1+0.16)=[(1+APR/2)^2]

APR=[(1+0.16)^(1/2)-1]*2

**=15.41%(Approx)**

b.EAR=[(1+APR/m)^m]-1

where m=compounding periods

0.18=[(1+APR/12)^12]-1

(1+0.18)=[(1+APR/12)^12]

APR=[(1+0.18)^(1/12)-1]*12

**=16.67%(Approx)**

c.EAR=[(1+APR/m)^m]-1

where m=compounding periods

0.14=[(1+APR/52)^52]-1

(1+0.14)=[(1+APR/52)^52]

APR=[(1+0.14)^(1/52)-1]*52

**=13.12%(Approx)**

d.EAR=(e)^APR-1

where e=2.71828

0.09=(2.71828)^APR-1

1.09=(2.71828)^APR

Taking log on both sides;

log 1.09=APR*log 2.71828

APR=log 1.09/log 2.71828

**=8.62%(Approx)**

Find the APR, or stated rate, in each of the following
cases:
a.
An effective interest of 9% compounded semiannually
b.
An effective interest of 15% compounded monthly
c.
An effective interest of 10% compounded weekly
d.
An effective interest of 8% with continuous compounding

Find the APR, or stated annual rate, in each of the following
cases.
Required:
(a)
An effective annual interest of 19% (the APR is compounded
semiannually)
(Click to
select) 17.27% 18.17% 15.45% 19.90% 16.36%
(b)
An effective annual interest of 17% (the APR is compounded
monthly)
(Click to
select) 12.64% 15.80% 17.72% 18.96% 18.17%
(c)
An effective annual interest of 15% (the APR is compounded
weekly)
(Click to
select) 16.79% 15.56% 11.20% 15.39% 13.99%
(d)
An effective annual interest of 8% with infinite (or
continuous) compounding
(Click to
select) 8.47% 7.70% 8.27% 8.16% 6.93%

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 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
10.50%
Monthly
11.4
Weekly
9.1
Infinite
12.8

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 EAR in each of the following cases: SHOW WORK
Stated Rate (APR) Number of Times Compounded Effective Rate
(EAR)
9% Quarterly ?
18% Monthly ?
14% Daily ?
11% Infinite ?

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

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 9 minutes ago

asked 21 minutes ago

asked 45 minutes ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 4 hours ago

asked 4 hours ago

asked 4 hours ago