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CFP · Worked lesson

CFP calculator keystrokes: a TVM workflow

Use a cash-flow timeline to rebuild N, I/Y, PV, PMT and FV. Then verify payment frequency, timing and signs before computing.

US CFP preparation; TI BA II Plus family keys. Other approved models use different sequences. Example deposits and rates are hypothetical, before tax and fees. They are not return forecasts.

01 / 6

Learn what the five TVM keys represent

Texas Instruments identifies five TVM variables: N, I/Y, PV, PMT and FV. Treat them as a map of the problem. N counts payment periods; I/Y is entered as an annual percentage; PV is the starting amount; PMT is the regular payment; FV is the ending amount. An unknown can be any one of these, not always FV.

Choose one viewpoint for cash-flow signs. In a saver’s example, money deposited is an outflow and money later received is an inflow. Entering both sides with the same sign changes the problem or can produce an error. A zero starting balance must be entered as zero; leaving an old PV in memory does not mean zero.

Input map for the original annual-deposit example; USD and annual periods

N

Meaning in this example
Three annual payment periods
Input or unknown
3

I/Y

Meaning in this example
Assumed annual interest rate, entered in percent
Input or unknown
6, not 0.06

PV

Meaning in this example
No money invested at the starting date
Input or unknown
0

PMT

Meaning in this example
One USD 1,000 deposit at each year-end
Input or unknown
-1,000

FV

Meaning in this example
Amount available immediately after the third deposit
Input or unknown
Compute

Before touching a key, say which amount is unknown and why each known input belongs in its field.

Source notes: Texas Instruments: TVM functions, solution 11254

02 / 6

Reconstruct one complete annual calculation

Fictional facts: start with USD 0, deposit USD 1,000 at the end of each of three years, and assume a constant 6% effective annual return. There are no other cash flows, taxes or fees. The timeline is year 0:0; year 1:-1,000; year 2:-1,000; year 3:-1,000 followed by receipt of the balance. The last deposit has no time to earn interest before the measurement date.

Independent arithmetic: FV = 1,000 × [(1.06³ - 1) ÷ 0.06] = USD 3,183.60. Check it a second way: 1,000 × 1.06² + 1,000 × 1.06 + 1,000 = 1,123.60 + 1,060.00 + 1,000.00 = USD 3,183.60. Contributions total USD 3,000; assumed interest adds USD 183.60. That decomposition explains the display rather than merely accepting it.

  1. 1

    Clear the old TVM values

    Use [2ND] [QUIT], then [2ND] [CLR TVM]. This clears the five TVM amounts. Still inspect payment frequency, compounding and timing separately; this is not the full exam-day memory-clearing procedure.

  2. 2

    Set the periods and timing

    Open [2ND] [P/Y]. Enter 1 and [ENTER]; move down to C/Y and explicitly enter 1 and [ENTER]. Exit with [2ND] [QUIT]. Open [2ND] [BGN]; use [2ND] [SET] only if needed until END appears, then quit that worksheet.

  3. 3

    Enter the amounts

    Enter 3 [N], 6 [I/Y], 0 [PV], and 1000 [+/-] [PMT]. Enter 0 [FV] as a placeholder for the unknown before computing it. Confirm that PMT is negative from the saver’s viewpoint.

  4. 4

    Compute and explain

    Press [CPT] [FV]. With the stated settings, the result rounds to positive USD 3,183.60. Compare it with the three separately accumulated deposits above. Display rounding is not a change to the cash-flow assumptions.

Source notes: Texas Instruments: TVM functions, solution 11254 · Texas Instruments: payment timing and frequency, solution 11228 · Texas Instruments: clearing worksheet values, solution 11231

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03 / 6

Check settings even after clearing the amounts

TI’s settings reference distinguishes the reset defaults: P/Y returns to 12 on the BA II Plus and 1 on the BA II Plus Professional. A remembered sequence can therefore start from different states on two similar-looking models. Set P/Y and C/Y deliberately instead of assuming that clearing TVM amounts establishes the annual convention you need.

END means payments at the end of a period; BGN means payments at the beginning. In the annual example, moving the same three deposits to the beginnings of the years gives each deposit one extra year of growth. FV in BGN = 3,183.60 × 1.06 = USD 3,374.616, or USD 3,374.62 rounded. The USD 191.02 rounded difference comes from earlier deposits, not a better investment.

Change one fact, then rebuild the setup; hypothetical annual deposits

Deposit dates

END example
Years 1, 2, 3
BGN changed fact
Years 0, 1, 2

Valuation date

END example
Year3, immediately after the final deposit
BGN changed fact
Year3, one year after the final deposit

N / I/Y / PV / PMT

END example
3 / 6 / 0 / -1,000
BGN changed fact
3 / 6 / 0 / -1,000

Timing setting

END example
END
BGN changed fact
BGN

Calculated FV

END example
USD 3,183.60
BGN changed fact
USD 3,374.62, rounded

A correct-looking input table with the wrong timing setting can still produce the wrong answer. The timeline decides the setting.

Source notes: Texas Instruments: payment timing and frequency, solution 11228

04 / 6

Separate the annual rate from monthly periods

New fictional facts: deposit USD 250 at the end of each month for two years, start at USD 0, and assume a 6% nominal annual rate compounded monthly. Here P/Y=12, C/Y=12, N=2 × 12=24 and I/Y=6. This is a different rate convention from an effective annual return. Clear the old TVM values, explicitly set both frequencies to 12 and END, then enter 24 [N], 6 [I/Y], 0 [PV], 250 [+/-] [PMT], 0 [FV], and [CPT] [FV].

The matching period rate is 0.06 ÷ 12 = 0.005, or 0.5% per month. FV = 250 × [(1.005²⁴ - 1) ÷ 0.005] = USD 6,357.988810..., or USD 6,357.99. The 24 deposits contribute USD 6,000; assumed interest adds USD 357.99 rounded. With P/Y and C/Y both 12, do not also replace I/Y=6 with 0.5: that would enter a different annual rate.

If the stated return were an effective annual rate, or compounding differed from the payment frequency, derive the equivalent rate for that problem before entering it. Do not borrow the nominal-rate setup above. Irregular payments also need a different cash-flow setup; the level-payment PMT key does not describe every financial-planning case.

Source notes: Texas Instruments: TVM functions, solution 11254 · Texas Instruments: payment timing and frequency, solution 11228

05 / 6

Diagnose the mismatch instead of repeating the same keys

When an answer differs, compare the written input map with the display. Check the unknown, period count, annual-rate convention, frequency, timing and cash-flow signs before changing the arithmetic. Clear and re-enter the problem after identifying the mismatch; an unexplained successful retry is difficult to reproduce.

Use three original practice passes: solve the annual END example with your input map; change only END to BGN and predict the direction first; then rebuild the monthly example from a blank map. Record the specific error, such as N=2 instead of 24, rather than writing only “calculator mistake.” Repeat with fresh assumptions until you can explain the setup. Three passes are an editorial exercise, not a validated dose or a promised time saving.

Troubleshooting checks for these worked examples

Positive savings result differs from the worked total

Inspect first
P/Y, C/Y, END/BGN, N and stored PV
Reasoning check
Is each deposit earning the intended number of periods?

Answer has an unexpected sign or cannot be solved

Inspect first
Cash-flow viewpoint and amount signs
Reasoning check
Which amounts leave the saver and which are received?

Monthly example is too small or uses only two payments

Inspect first
N=24 and the annual I/Y input
Reasoning check
There are 24 deposits, not 2 annual deposits.

A complex problem does not fit one PMT

Inspect first
Whether payments are equal and equally spaced
Reasoning check
Separate stages or use the appropriate cash-flow worksheet; do not force a level annuity.

Source notes: Texas Instruments: TVM functions, solution 11254 · Texas Instruments: clearing worksheet values, solution 11231

06 / 6

Practise restoring settings under the actual exam policy

CFP Board lists approved calculator models and requires candidates to clear calculator memory before each exam session and restore their desired settings themselves. Rehearse the full approved model-specific reset process separately from clearing the TVM worksheet between practice problems. This lesson’s CLR TVM shortcut is not a claim that every memory location has been cleared.

Keep your study input map for practice outside the testing room. CFP Board’s admission guidance does not allow notes in the exam room. For current model approval, inspection and memory rules, use the Board links below and the exam-day guide. If you use an HP or Sharp model, retain the timeline method but use that manufacturer’s instructions for the keys; do not transpose the TI sequence.

Source notes: CFP Board: approved calculator models and prohibited notes · CFP Board: calculator inspection and memory clearing

Apply the method

Change the facts. Check your reasoning.

Keep the annual example’s three USD 1,000 deposits, 6% effective annual rate and year 3 valuation date. Move the deposits from years 1, 2, 3 to years 0, 1, 2. What setup and future value match the changed facts?

Original teaching question. Your answer stays on this page and is not transferred to an account.

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Sources and scope

Examples and practice questions are original teaching material. Use the linked official sources for current rules and exam policies.

  1. Texas Instruments: TVM functions, solution 11254

    Definitions of the five TVM variables and the CLR TVM operation. Key labels are specific to the BA II Plus family. Worked financial inputs are hypothetical.

  2. Texas Instruments: payment timing and frequency, solution 11228

    BGN/END and P/Y/C/Y settings, entry and exit controls, and different reset P/Y defaults of 12 and 1 for the two models. Set both frequencies explicitly.

  3. Texas Instruments: clearing worksheet values, solution 11231

    Distinction between clearing TVM amounts, other worksheets and separate memories. Clearing TVM alone is not a complete exam-day memory reset.

  4. CFP Board: approved calculator models and prohibited notes

    US exam model list including the TI BA II Plus family and other manufacturers; notes are not allowed in the testing room.

  5. CFP Board: calculator inspection and memory clearing

    Memory clearing before each session and candidate responsibility for restoring settings. Follow the current official policy and model instructions.