How to Calculate Future Value and Present Value on a BA II Plus (TVM)

In this tutorial

The TVM variables and the sign convention
Example 1: future value of a lump sum
Example 2: present value of a future amount
Example 3: monthly compounding
End mode vs begin mode
Common mistakes and keystroke traps

This page drills the actual FV / PV computations. For the layout of the TVM worksheet and the meaning of each key, see the calculator basics tutorial — this tutorial assumes you can reach the TVM area and focuses on getting numbers out of it.

The TVM variables and the sign convention

N — number of periods
I/Y — annual interest rate (the calculator divides it by P/Y)
PV — present value
PMT — periodic payment (0 for lump sums)
FV — future value

The BA II Plus treats money in opposite directions with opposite signs. Invest $1,000 now to receive money later: PV = −1000 and FV comes out positive. Borrow $1,000 now and repay later: PV = +1000 and FV comes out negative. The sign convention is not cosmetic — entering the wrong sign can flip the answer by exactly one period's interest.

Example 1: future value of a lump sum

Invest $5,000 today at 8% compounded annually for 4 years. What is it worth at the end?

Press [2nd] then [CLR TVM].
Confirm P/Y = 1: [2nd] then [P/Y], type 1, [ENTER], [2nd] then [QUIT].
Enter N = 4.
Enter I/Y = 8.
Enter PV = 5000 then press [+/-] to make it −5000.
Leave PMT = 0.
Press [CPT] then [FV]. The display shows 6,802.44.

Hand check: 5,000 × 1.08⁴ = 5,000 × 1.360489 = 6,802.44. The calculator matches the formula exactly.

Example 2: present value of a future amount

An investment promises $12,000 in 10 years. If the appropriate annual discount rate is 6%, what is its present value today?

Press [2nd] then [CLR TVM].
Enter N = 10.
Enter I/Y = 6.
Leave PMT = 0.
Enter FV = 12000.
Press [CPT] then [PV]. The display shows −6,700.75.

The present value is $6,700.75. Reading the sign: you would "pay" 6,700.75 today to receive 12,000 later — opposite directions, opposite signs. Hand check: 12,000 ÷ 1.06¹⁰ = 12,000 ÷ 1.790848 = 6,700.75.

Example 3: monthly compounding

A lump sum of $3,000 is invested for 5 years in an account earning 6% per year, compounded monthly. Find the future value.

Press [2nd] then [P/Y], type 12, [ENTER] (P/Y = C/Y = 12).
Press [2nd] then [CLR TVM].
Enter N = 60 (5 years × 12 months).
Enter I/Y = 6.
Enter PV = 3000, press [+/-] → −3000.
Leave PMT = 0.
Press [CPT] then [FV]. The display shows 4,046.55.

The effective monthly rate is 6% ÷ 12 = 0.5%; 3,000 × 1.005⁶⁰ ≈ 3,000 × 1.34885 = 4,046.55. Notice the same 6% annual rate with annual compounding (Example 1 style) would grow 3,000 to only 4,014.68 — compounding frequency matters.

End mode vs begin mode

The BA II Plus computes annuity cash flows in end mode by default: payments occur at the end of each period, which is the CFA default. If a problem says "payments are made at the beginning of each period" (rents, lease payments), switch with [2nd] then [BGN], then [2nd] then [SET] — the display shows BGN. Always switch back to end mode after such a problem; the setting persists and silently changes every later annuity calculation.

Common mistakes and keystroke traps

Forgetting the +/- on PV or FV. The single most common wrong answer on TVM problems is a sign error that shifts the compounding by one period.
Stale P/Y from a previous bond problem. After pricing semiannual bonds, P/Y = 2 stays active; a lump-sum problem then compounds twice a year. Check P/Y before every calculation.
N counted in years, not periods. Monthly compounding for 5 years needs N = 60, not 5.
BGN mode left on. If the screen shows BGN and your answer looks slightly off, reset it before blaming the math.
Residual TVM values. Always [2nd] then [CLR TVM] before a new problem.
Reading PMT = 0 as "no value". A leftover PMT from the last bond problem silently adds an annuity where none exists.