Managerial Accounting
Managerial Accounting
5th Edition
ISBN: 9781259176494
Author: John J Wild, Ken Shaw Accounting Professor
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter B, Problem 1QS
To determine

Concept introduction:

Time value of money: Time value of money is the concept that differentiates the value of money received today and the value of same money received in future. According to this concept, the same amount of money to be received in future shall have lower present value (value of the money today) due to the interest that could be earned on that money.

To indicate:

The interest rate column and number of period for each of the given case

Expert Solution & Answer
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Answer to Problem 1QS

The interest rate column and number of period for each of the given case are as follows:

Case # Rate Column Number of Periods Row
1 2% 8
2 12% 2
3 3% 4
4 1% 24

Explanation of Solution

The interest rate column and number of period for each of the given case are as follows:

Case # Annual Rate Number of Compounding in a year Rate Column Number of Periods Row
A B C = A/B D = 2*B
1 8% 4 2% 8
2 12% 1 12% 2
3 6% 2 3% 4
4 12% 12 1% 24

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For each of the following cases, indicate (a) to what interest rate columns and (b) what number of periods you would refer to in looking up the future value factor. (1) In Table 1 (future value of 1): Case A Case B Case A Case B Case A Case B Case A Annual Rate Case B 5% 8% Annual Rate (2) In Table 2 (future value of an annuity of 1): 6% (a) 4% Number of Years Invested (a) 3 6 % 11 % Number of Years Invested 7 % Compounded Annually Semiannually (b) Compounded Annually Semiannually (b) periods periods periods periods
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Derive an equation to find the end-of-year future sum F that is equivalent to a series of n beginning-of-year payments B at interest rate i. Then use the equation to determine the future sum F equivalent to six B payments of $100 at 8% interest.
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