Explanation Given information: An investment with principal $ 8 , 000 is made at 6 % compounded semiannually. Formula used: Compounding period can be defined as the duration or length of time from one interest payment to the next. If an investment made for 4 years at 6 % compounded annually (once per year) then it would have four compounding period which can be calculated by formula given below: Compounding periods = Term of investments ( years ) × m Here, m is the period per year. The interest rate per period can be calculated by dividing the annual, or nominal, rate by the number of periods per year, Interest rate per period = Nominal rate Period per year The compound amount (Future value) can be calculated by the formula given below: Compound amount = Table factor × Principal In table 11-1, the table factor is the intersection of the rate-per-period column and the number-of-periods row is the future value of $ 1 at compound interest. The compound interest can be calculated by the formula given below: Compound interest = Compound amount − Principal The annual percentage yield (APY) can be calculated by the formula given below: A P Y = Total compound interest earned in 1 year Principal Calculation: Consider the investment with principal $ 8 , 000 is made at 6 % compounded semiannually and solve as shown below:

Contemporary Mathematics for Business & Consumers

8th Edition

ISBN: 9781305585447

Author: Robert Brechner, Geroge Bergeman

Publisher: Cengage Learning

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Chapter 11.I, Problem 28RE

To determine

To calculate: The compound interest earned in 1 year and the annual percentage yield (APY) for the investment with principal $8,000 is made at 6% compounded semiannually.

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Chapter 11 Solutions

Contemporary Mathematics for Business & Consumers

Ch. 11.I - Gail Parker invested $10,000 at 6% interest...Ch. 11.I - Jenny Chao invested $20,000 at 6% interest...Ch. 11.I - Prob. 3TIE Ch. 11.I - Jill Quinn invested $7,000 in a certificate of...Ch. 11.I - Prob. 5TIE Ch. 11.I - Prob. 1RE Ch. 11.I - For the following investments, find the total...Ch. 11.I - For the following investments, find the total...Ch. 11.I - Prob. 4RE Ch. 11.I - Prob. 5RE

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The compound interest earned in 1 year and the annual percentage yield (APY) for the investment with principal $ 8 , 000 is made at 6 % compounded semiannually.

Solution Summary: The author calculates the compound interest earned in 1 year and the annual percentage yield (APY) for the investment with principal 8,000.

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To calculate: The compound interest earned in 1 year and the annual percentage yield (APY) for the investment with principal $8,000 is made at 6% compounded semiannually.

Chapter 11 Solutions