What is the APY for money invested at each​ rate? ​(A) 14​% compounded semiannually ​(B) 12​% compounded continuously

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Exponential And Logarithmic Functions
Section11.2: Applications Of Exponential Functions
Problem 29PS: What rate of interest to the nearest hundredth of percent is needed so that an investment of 2500...
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What is the APY for money invested at each​ rate?
​(A)
14​%
compounded semiannually
​(B)
12​%
compounded continuously
​(A)
APY=
​(Round to three decimal places as​ needed.)
​(B)
APY=
​(Round to three decimal places as​ needed.)
Expert Solution
Step 1

(A)

It is given that, r=14%.

r=14100=0.14

For compound semiannually n=2.

The formula for APY is given by

APY=1+rnn-1

Substitute r=0.14 and n=2 in APY=1+rnn-1.

APY=1+0.1422-1=2.1422-1=1.1449-1=0.1449=14.49%

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