Identify the interest rate column and the number of period’s row that will be used for the following rates.
Explanation of Solution
Future value:
The future value is value of present amount compounded at an interest rate until a particular future date
1.
When annual rate is 12% and compounded annually. The interest rate column will be 12% and the number of periods will be 2.
2.
When annual rate is 6% and compounded semi-annually. The interest rate column will be 3% and the number of periods will be 4 because when future value is compounded semi-annually, the number of years will be doubled and the rate of interest will decrease by half of the given interest rate.
3.
When annual rate is 8% and compounded quarterly. The interest rate column will be 2% and the number of periods will be 8 because, when future value is compounded quarterly, the number of years will be increased by four times and the rate of interest will decrease by quarter of the given interest rate.
4.
When annual rate is 12% and compounded monthly. The interest rate column will be 1% and the number of periods will be 24, because the interest rate for each month will be 1% and number of period will be 24 because future value is estimated for 2 years.
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Chapter B Solutions
Principles of Financial Accounting.
- For each of the following cases, indicate (a) to what interest rate columns and (b) to what number of periods you would refer in looking up the future value factor. (Round percentages to 2 decimal places, e.g. 5,275.)(1) In Table 1 (future value of 1): Annual Rate Number ofYears Invested Compounded Case A 4% 3 Annually Case B 9% 5 Semiannually (a) (b) Case A % periods Case B % periods (2) In Table 2 (future value of an annuity of 1): Annual Rate Number ofYears Invested Compounded Case A 6% 5 Annually Case B 12% 6 Semiannually (a) (b) Case A % periods Case B % periodsarrow_forwardUse the given annual interest rate r and the compounding period to find i, the interest rate per compounding period. 5.45% compounded monthly =% per month (Type an integer or decimal rounded to the nearest thousandth as needed.)arrow_forwardFor 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: a. b. C. a. b. Annual Rate C. 11% 12% 12% Annual Rate 10% 11% 12% Number of Years Invested Number of Years Invested 25 14 6 11 7 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.) 19 Number of Rents Involved 25 28 Compounded 24 Annually Quarterly Semiannually Frequency of Rents Annually Semiannually (a) Rate of Interest Quarterly % (a) Rate of Interest % % % % de (b) Number of Periods % (b) Number of Periodsarrow_forward
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- EBK CONTEMPORARY FINANCIAL MANAGEMENTFinanceISBN:9781337514835Author:MOYERPublisher:CENGAGE LEARNING - CONSIGNMENT