Question 1

What is the time value of money?

Accepted Answer

The time value of money (TVM) is the concept that money available now is worth more than the same amount in the future because of its earning potential. A dollar today can be invested and grow, so it is inherently more valuable than a dollar received a year from now. This principle underlies nearly all financial decisions, from personal savings to corporate investments to government bonds.

Question 2

What discount rate should I use?

Accepted Answer

The appropriate discount rate depends on the context. For low-risk government bonds, use the risk-free rate (3-5%). For business investments, use the company's cost of capital (8-15%). For personal financial planning, many people use expected inflation (2-3%) or their expected investment return (6-8%). Higher discount rates reflect higher risk and produce lower present values. The discount rate should match the risk level of the future cash flow.

Question 3

How does compounding frequency affect present value?

Accepted Answer

More frequent compounding results in a lower present value because the effective discount rate is higher. Annual compounding at 5% discounts differently than monthly compounding at 5%. With monthly compounding, each period's discount rate is 5%/12, but there are 12 times as many periods, resulting in a slightly higher effective annual rate (about 5.12%). The difference is typically small for short time periods but becomes more significant over longer horizons.

Question 4

What is the relationship between present value and future value?

Accepted Answer

Present value and future value are inverse calculations. Present value answers: what is a future amount worth today? Future value answers: what will today's amount be worth in the future? PV = FV / (1+r)^n and FV = PV x (1+r)^n. They are two sides of the same time value of money equation. If you know any three of the four variables (PV, FV, rate, time), you can solve for the fourth.

Question 5

How is present value used in investment decisions?

Accepted Answer

Present value is the basis of Net Present Value (NPV) analysis, which compares the present value of expected future cash flows to the initial investment cost. If NPV is positive (PV of future cash flows exceeds the investment), the project creates value and should be considered. Present value is also used to price bonds, value annuities, compare loans with different terms, and evaluate any financial decision involving future cash flows.

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