Loose Leaf for Financial Accounting: Information for Decisions
Loose Leaf for Financial Accounting: Information for Decisions
9th Edition
ISBN: 9781260158762
Author: John J Wild
Publisher: McGraw-Hill Education
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Chapter B, Problem 1QS
Summary Introduction

Concept Introduction:

Future value is the value of present money after a period of time. Future value of present money is calculated using the interest rate and period. The present value of a sum is multiplied with the future value factor to get the future value.

To identify: the interest rate column and number of period.

Expert Solution & Answer
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Explanation of Solution

    Rate Interest rate Number of period
    12% annual rate, compounded annually12%1The compounding is annual, hence the rate shall remain same and period shall be 1.
    6% annual rate, compounded semiannually3%2The compounding is semiannual, hence the rate shall be half and period shall be double.
    8% annual rate, compounded quarterly2%4The compounding is quarterly, hence the rate shall be one fourth and period shall be four times.
    12% annual rate, compounded monthly1%12The compounding is monthly, hence the rate shall be divided by 12 and period shall be multiplied by 12.

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For each of the following cases, indicate (a) to what rate columns, and (b) to what number of periods you would refer in looking up the interest factor.1. In a future value of 1 table:     Annual Rate   Number of Years Invested   Compounded   (a) Rate of Interest   (b) Number of Periods a.   11%   10   Annually     %     b.   8%   8   Quarterly     %     c.   10%   19   Semiannually     %     2. In a present value of an annuity of 1 table: (Round answers to 1 decimal place, e.g. 458,58.1.)     Annual Rate   Number of Years Invested   Number of Rents Involved   Frequency of Rents   (a) Rate of Interest   (b) Number of Periods a.   12%   30   30   Annually     %     b.   11%   16   32   Semiannually     %     c.   12%   8   32   Quarterly     %
For each of the following cases, indicate (a) to what rate columns, and (b) to what number of periods you would refer in looking up the interest factor. 1. In a future value of 1 table: Annual Rate Number of Years Invested Compounded (a) Rate of Interest a. 9% 12 Annually b. 8% 7 Quarterly C. 12% 16 Semiannually % % % (b) Number of Periods 2. In a present value of an annuity of 1 table: (Round "Rate of Interest" answers to 1 decimal place, e.g. 4.5% and other answers to O decimal places, e.g 45.) Annual Number of Years Rate Invested Number of Rents Involved Frequency of Rents (a) Rate of Interest (b) Number of Periods a. 10% 28 28 Annually b. 10% 15 30 Semiannually % % 8% 7 28 Quarterly %
For each of the following situations involving annulties, solve for the unknown. Assume that interest is compounded annually and that all annulty amounts are received at the end of each period. (/= Interest rate, and n = number of years) Note: Use tables, Excel, or a financial calculator. Round your final answers to nearest whole dollar amount. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) 1. 2. 3. 4. 5. Present Value 248, 196 442,750 650,000 175,000 Annuity Amount $ 5,000 80,000 60,000 155,040 8% 11% 10% n = 5 4 10 4
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