Managerial Accounting: Tools For Business Decision Making, Seventh Edition Wileyplus Card
Managerial Accounting: Tools For Business Decision Making, Seventh Edition Wileyplus Card
7th Edition
ISBN: 9781118680698
Author: Jerry J. Weygandt, Donald E. Kieso, Paul D. Kimmel
Publisher: John Wiley & Sons Inc
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Question
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Chapter A, Problem A.1BE

(a)

To determine

Calculate the accumulated amount withdrawn by J, if the investment earns simple interest.

(a)

Expert Solution
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Answer to Problem A.1BE

The accumulated amount withdrawn by J is $9,600.

Explanation of Solution

Future value: This is the amount of present value accumulated or compounded at a rate of interest till a particular future date.

Formula to compute future value at simple interest:

  Future value }= Invested amount + Interest amount=Present value + (Present value × Simple interest rate × Number of years)

Determine the accumulated amount withdrawn by J.

  Future value }=Present value + (Present value × Simple interest rate × Number of years)=$6,000+($6,000 × 5% × 12 years)=$6,000+$3,600=$9,600

The justification for the above calculation is as follows:

J invested $6,000 at 5% interest rate for 12 years. He withdrew the accumulated amount of money after 12 years. In that, he earned the interest amount of $3,600 from the investment (using simple interest method). Therefore, the accumulated amount withdraw by J is $9,600.

Conclusion

Therefore, the accumulated amount withdrawn by J is $9,600.

(b)

To determine

Calculate the future value of a single amount, if the interest is compounded annually.

(b)

Expert Solution
Check Mark

Answer to Problem A.1BE

Therefore, the future value of an amount is $10.775.16.

Explanation of Solution

Future value: This is the amount of present value accumulated or compounded at a rate of interest till a particular future date.

Formula to compute future value at compounded interest:

  Future value = Present value×(1+Interest rate)Time period

Or,

  Futurevalue} = {Invested (present)value × Future value factor of $1 at interest rate for time periods}

Determine the accumulated amount withdrawn by J.

  Future value=( Invested amount × Future value factor of $1 at 5% for 12 time periods )=$6,000×1.79586=$10,775.16

Note: Refer to Table 1 of Appendix A for future value factor.

J invested $6,000 at 5% interest rate for 12 years. If the interest amount is compounded annually, the future value factor of 5% for 12 time periods would be 1.79586. Therefore, the amount withdrawn by J is $10.775.16.

Conclusion

Therefore, the future value of an amount is $10.775.16.

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