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

If you invest $100 at an annual interest rate of 5\% compounded once per year, how much will it be worth after 75 years?

$1,000.00

$2,000.00

$500.00

$3,248.39

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Verified step by step guidance

Step 1: Understand the formula for compound interest, which is $ A = P(1 + r)^t $, where $ A $ is the future value, $ P $ is the principal amount, $ r $ is the annual interest rate (in decimal form), and $ t $ is the number of years.

Step 2: Identify the values given in the problem: $ P = 100 $, $ r = 0.05 $ (5\% expressed as a decimal), and $ t = 75 $.

Step 3: Substitute the values into the formula: $ A = 100(1 + 0.05)^{75} $.

Step 4: Simplify the expression inside the parentheses: $ 1 + 0.05 = 1.05 $. The formula now becomes $ A = 100(1.05)^{75} $.

Step 5: Calculate $ (1.05)^{75} $ and then multiply the result by $ 100 $ to find the future value. This will give you the final amount after 75 years.