Table of contents

1. Introduction to Accounting1h 21m
2. Transaction Analysis1h 13m
3. Accrual Accounting Concepts2h 38m
4. Merchandising Operations2h 30m
5. Inventory1h 55m
6. Internal Controls and Reporting Cash1h 16m
7. Receivables and Investments3h 8m
8. Long Lived Assets5h 1m
9. Current Liabilities2h 19m
10. Time Value of Money1h 23m
- Time Value of Money Equations
  35m
- Using Time Value of Money Tables
  47m
11. Long Term Liabilities2h 45m
12. Stockholders' Equity2h 15m
13. Statement of Cash Flows2h 24m
14. Financial Statement Analysis5h 25m
15. GAAP vs IFRS56m

10. Time Value of Money

Time Value of Money Equations

Financial Accounting

10. Time Value of Money

Time Value of Money Equations

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Multiple Choice

What is the future value of \$5,500 invested for 17 years at an APR of 8.4\% compounded semiannually? (Round your answer to the nearest dollar.)

$19,870

$22,349

$18,120

$21,105

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Verified step by step guidance

Step 1: Understand the formula for future value with compound interest, which is $ FV = PV \times (1 + \frac{r}{n})^{n \times t} $, where $ FV $ is the future value, $ PV $ is the present value (initial investment), $ r $ is the annual interest rate (APR), $ n $ is the number of compounding periods per year, and $ t $ is the number of years.

Step 2: Identify the values given in the problem: $ PV = 5500 $, $ r = 8.4\% = 0.084 $, $ n = 2 $ (since interest is compounded semiannually), and $ t = 17 $.

Step 3: Substitute the values into the formula: $ FV = 5500 \times (1 + \frac{0.084}{2})^{2 \times 17} $.

Step 4: Simplify the expression inside the parentheses: $ 1 + \frac{0.084}{2} $, which represents the growth factor per compounding period.

Step 5: Calculate the exponent $ 2 \times 17 $ to determine the total number of compounding periods, then raise the growth factor to this power and multiply by $ PV $ to find the future value.