Time Value of Money for the CFP Exam

1. What Is the Time Value of Money?

The Time Value of Money (TVM) is one of the most fundamental concepts in finance and a heavily tested area on the CFP exam. The core principle is simple: a dollar today is worth more than a dollar in the future because of its earning potential.

TVM calculations appear across multiple CFP exam domains — from investment planning and retirement projections to education funding and loan amortization. Understanding these concepts thoroughly is essential for passing the exam.

2. The 5 Core TVM Variables

Every TVM problem involves five variables. You need four to solve for the fifth:

• N — Number of periods (years, months, etc.)
• I/Y — Interest rate per period
• PV — Present Value (today's value)
• PMT — Payment per period (annuity amount)
• FV — Future Value

On the CFP exam, questions will provide four variables and ask you to solve for the fifth. The key is identifying which variable the question is asking for and ensuring you use the correct sign convention (cash inflows positive, outflows negative).

3. Present Value (PV) Calculations

Present value answers the question: "What is a future amount worth today?" The formula for a single lump sum is:

PV = FV / (1 + r)^n

For example, if a client will receive $100,000 in 10 years and the discount rate is 6%, the present value is $100,000 / (1.06)^10 = $55,839.48.

On your financial calculator: N=10, I/Y=6, FV=100000, PMT=0, solve for PV.

4. Future Value (FV) Calculations

Future value calculates how much a present amount will grow to over time:

FV = PV × (1 + r)^n

If a client invests $50,000 today at 8% for 20 years: FV = $50,000 × (1.08)^20 = $233,047.86.

The CFP exam frequently tests FV in the context of retirement planning — calculating how much a current portfolio will grow by the client's retirement date.

5. Annuities: Ordinary vs. Due

An annuity is a series of equal payments at regular intervals. The CFP exam distinguishes between:

• Ordinary Annuity — Payments at the end of each period (most common)
• Annuity Due — Payments at the beginning of each period (rent, insurance premiums)

For the PV of an ordinary annuity: PV = PMT × [(1 - (1+r)^-n) / r]

For the FV of an ordinary annuity: FV = PMT × [((1+r)^n - 1) / r]

To convert an ordinary annuity result to annuity due, multiply by (1 + r). On your calculator, switch to BEGIN mode for annuity due calculations.

6. CFP Exam Tips for TVM Questions

• Always clear your calculator before starting a new problem
• Use the sign convention consistently — investments are negative (cash out), returns are positive (cash in)
• Check if payments are at the beginning or end of the period (BEGIN vs END mode)
• Convert annual rates to match payment frequency (monthly payments need monthly rate: annual ÷ 12)
• Read the question carefully to identify which variable you are solving for
• Practice with your specific calculator model — HP 10BII+ or Texas Instruments BA II Plus