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 interest rates rise, what happens to the present value of a future cash flow, assuming all other factors remain constant?

The present value remains unchanged.

The present value decreases.

The present value increases.

The present value becomes negative.

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Verified step by step guidance

Understand the concept of present value: Present value (PV) is the current worth of a future cash flow, discounted at a specific interest rate. It is calculated using the formula: PV = \( \frac{FV}{(1 + r)^n} \), where FV is the future value, r is the interest rate, and n is the number of periods.

Recognize the relationship between interest rates and present value: The interest rate (r) is inversely related to the present value. As the interest rate increases, the denominator \((1 + r)^n\) becomes larger, reducing the present value.

Analyze the scenario: If interest rates rise while all other factors (future cash flow, time period) remain constant, the present value of the future cash flow will decrease because the discounting effect becomes stronger.

Eliminate incorrect options: The present value does not remain unchanged because it is directly affected by the interest rate. It does not increase because higher interest rates reduce the present value. It does not become negative because the formula for present value does not produce negative values under normal circumstances.

Conclude the correct answer: Based on the relationship between interest rates and present value, the correct answer is that the present value decreases when interest rates rise.