5.0 Time Value of Money

Importance in Accounting: Time value of money (TVM) concepts are crucial in accounting for valuing assets and liabilities. Long-lived assets, notes receivables, notes payable, and bonds payable are reported on the balance sheet at their present values.
Decision-Making: TVM techniques help companies make informed business decisions, such as determining investment amounts needed to reach a future value or calculating the cash equivalent value of sales transactions with financing options.

Compounding of Interest:
- A dollar today is worth more than a dollar in the future due to the potential for investment and earning interest.
- Example: Investing one dollar today at a $5\%$ interest rate results in $1.05$ at the end of the year.
Future Value:
- Helps determine the maturity value of an investment after a certain period, considering compound interest.
- Question Example: If you invest $10,000 today at a $5\%$ interest rate, what will the investment be worth in three years?
Present Value:
- Helps determine how much needs to be invested today to achieve a specific future value, considering compound interest.
- Question Example: How much do you need to invest today to accumulate $15,000 in three years, assuming a $5\%$ annual interest rate?

Definition: An annuity is a series of equal payments made at equal intervals (e.g., car payments).
Future Value and Present Value: TVM techniques are applied to annuity streams to project future values or determine equivalent present values, considering the compounding of interest.

Payment Amounts: Determining the payment amount required for a loan or investment.
Interest Rates: Calculating the actual interest being paid (the cost of financing).
Bond Pricing: Determining the selling price of a bond.