Finance Calculator (TVM Solver)
A comprehensive, professional-grade 5-variable financial solver to compute Present Value, Future Value, periodic payments, rates, or terms.
Compounding frequency: monthly
TVM Solver Parameters
| Period | Starting Balance | Payment | Interest Added | Ending Balance |
|---|---|---|---|---|
| Period 1 | -$10,000 | $3 | -$67 | -$10,064 |
| Period 2 | -$10,064 | $3 | -$67 | -$10,127 |
| Period 3 | -$10,127 | $3 | -$68 | -$10,192 |
| Period 4 | -$10,192 | $3 | -$68 | -$10,257 |
| Period 5 | -$10,257 | $3 | -$68 | -$10,322 |
| Period 6 | -$10,322 | $3 | -$69 | -$10,388 |
| Period 7 | -$10,388 | $3 | -$69 | -$10,454 |
| Period 8 | -$10,454 | $3 | -$70 | -$10,520 |
| Period 9 | -$10,520 | $3 | -$70 | -$10,587 |
| Period 10 | -$10,587 | $3 | -$71 | -$10,655 |
| Period 11 | -$10,655 | $3 | -$71 | -$10,722 |
| Period 12 | -$10,722 | $3 | -$71 | -$10,791 |
| Period 13 | -$10,791 | $3 | -$72 | -$10,860 |
| Period 14 | -$10,860 | $3 | -$72 | -$10,929 |
| Period 15 | -$10,929 | $3 | -$73 | -$10,999 |
| Period 16 | -$10,999 | $3 | -$73 | -$11,069 |
| Period 17 | -$11,069 | $3 | -$74 | -$11,139 |
| Period 18 | -$11,139 | $3 | -$74 | -$11,211 |
| Period 19 | -$11,211 | $3 | -$75 | -$11,282 |
| Period 20 | -$11,282 | $3 | -$75 | -$11,354 |
| Period 21 | -$11,354 | $3 | -$76 | -$11,427 |
| Period 22 | -$11,427 | $3 | -$76 | -$11,500 |
| Period 23 | -$11,500 | $3 | -$77 | -$11,573 |
| Period 24 | -$11,573 | $3 | -$77 | -$11,647 |
| Period 25 | -$11,647 | $3 | -$78 | -$11,722 |
| Period 26 | -$11,722 | $3 | -$78 | -$11,797 |
| Period 27 | -$11,797 | $3 | -$79 | -$11,872 |
| Period 28 | -$11,872 | $3 | -$79 | -$11,948 |
| Period 29 | -$11,948 | $3 | -$80 | -$12,025 |
| Period 30 | -$12,025 | $3 | -$80 | -$12,102 |
| Period 31 | -$12,102 | $3 | -$81 | -$12,179 |
| Period 32 | -$12,179 | $3 | -$81 | -$12,257 |
| Period 33 | -$12,257 | $3 | -$82 | -$12,336 |
| Period 34 | -$12,336 | $3 | -$82 | -$12,415 |
| Period 35 | -$12,415 | $3 | -$83 | -$12,495 |
| Period 36 | -$12,495 | $3 | -$83 | -$12,575 |
| Period 37 | -$12,575 | $3 | -$84 | -$12,656 |
| Period 38 | -$12,656 | $3 | -$84 | -$12,737 |
| Period 39 | -$12,737 | $3 | -$85 | -$12,819 |
| Period 40 | -$12,819 | $3 | -$85 | -$12,901 |
| Period 41 | -$12,901 | $3 | -$86 | -$12,984 |
| Period 42 | -$12,984 | $3 | -$87 | -$13,067 |
| Period 43 | -$13,067 | $3 | -$87 | -$13,151 |
| Period 44 | -$13,151 | $3 | -$88 | -$13,236 |
| Period 45 | -$13,236 | $3 | -$88 | -$13,321 |
| Period 46 | -$13,321 | $3 | -$89 | -$13,406 |
| Period 47 | -$13,406 | $3 | -$89 | -$13,493 |
| Period 48 | -$13,493 | $3 | -$90 | -$13,579 |
| Period 49 | -$13,579 | $3 | -$91 | -$13,667 |
| Period 50 | -$13,667 | $3 | -$91 | -$13,755 |
| Period 51 | -$13,755 | $3 | -$92 | -$13,843 |
| Period 52 | -$13,843 | $3 | -$92 | -$13,932 |
| Period 53 | -$13,932 | $3 | -$93 | -$14,022 |
| Period 54 | -$14,022 | $3 | -$93 | -$14,112 |
| Period 55 | -$14,112 | $3 | -$94 | -$14,203 |
| Period 56 | -$14,203 | $3 | -$95 | -$14,295 |
| Period 57 | -$14,295 | $3 | -$95 | -$14,387 |
| Period 58 | -$14,387 | $3 | -$96 | -$14,480 |
| Period 59 | -$14,480 | $3 | -$97 | -$14,573 |
| Period 60 | -$14,573 | $3 | -$97 | -$14,667 |
| Period 61 | -$14,667 | $3 | -$98 | -$14,762 |
| Period 62 | -$14,762 | $3 | -$98 | -$14,857 |
| Period 63 | -$14,857 | $3 | -$99 | -$14,953 |
| Period 64 | -$14,953 | $3 | -$100 | -$15,050 |
| Period 65 | -$15,050 | $3 | -$100 | -$15,147 |
| Period 66 | -$15,147 | $3 | -$101 | -$15,245 |
| Period 67 | -$15,245 | $3 | -$102 | -$15,343 |
| Period 68 | -$15,343 | $3 | -$102 | -$15,442 |
| Period 69 | -$15,442 | $3 | -$103 | -$15,542 |
| Period 70 | -$15,542 | $3 | -$104 | -$15,643 |
| Period 71 | -$15,643 | $3 | -$104 | -$15,744 |
| Period 72 | -$15,744 | $3 | -$105 | -$15,845 |
| Period 73 | -$15,845 | $3 | -$106 | -$15,948 |
| Period 74 | -$15,948 | $3 | -$106 | -$16,051 |
| Period 75 | -$16,051 | $3 | -$107 | -$16,155 |
| Period 76 | -$16,155 | $3 | -$108 | -$16,260 |
| Period 77 | -$16,260 | $3 | -$108 | -$16,365 |
| Period 78 | -$16,365 | $3 | -$109 | -$16,471 |
| Period 79 | -$16,471 | $3 | -$110 | -$16,577 |
| Period 80 | -$16,577 | $3 | -$111 | -$16,685 |
| Period 81 | -$16,685 | $3 | -$111 | -$16,793 |
| Period 82 | -$16,793 | $3 | -$112 | -$16,902 |
| Period 83 | -$16,902 | $3 | -$113 | -$17,011 |
| Period 84 | -$17,011 | $3 | -$113 | -$17,121 |
| Period 85 | -$17,121 | $3 | -$114 | -$17,232 |
| Period 86 | -$17,232 | $3 | -$115 | -$17,344 |
| Period 87 | -$17,344 | $3 | -$116 | -$17,457 |
| Period 88 | -$17,457 | $3 | -$116 | -$17,570 |
| Period 89 | -$17,570 | $3 | -$117 | -$17,684 |
| Period 90 | -$17,684 | $3 | -$118 | -$17,799 |
| Period 91 | -$17,799 | $3 | -$119 | -$17,914 |
| Period 92 | -$17,914 | $3 | -$119 | -$18,030 |
| Period 93 | -$18,030 | $3 | -$120 | -$18,148 |
| Period 94 | -$18,148 | $3 | -$121 | -$18,265 |
| Period 95 | -$18,265 | $3 | -$122 | -$18,384 |
| Period 96 | -$18,384 | $3 | -$123 | -$18,503 |
| Period 97 | -$18,503 | $3 | -$123 | -$18,624 |
| Period 98 | -$18,624 | $3 | -$124 | -$18,745 |
| Period 99 | -$18,745 | $3 | -$125 | -$18,866 |
| Period 100 | -$18,866 | $3 | -$126 | -$18,989 |
| Period 101 | -$18,989 | $3 | -$127 | -$19,113 |
| Period 102 | -$19,113 | $3 | -$127 | -$19,237 |
| Period 103 | -$19,237 | $3 | -$128 | -$19,362 |
| Period 104 | -$19,362 | $3 | -$129 | -$19,488 |
| Period 105 | -$19,488 | $3 | -$130 | -$19,615 |
| Period 106 | -$19,615 | $3 | -$131 | -$19,742 |
| Period 107 | -$19,742 | $3 | -$132 | -$19,871 |
| Period 108 | -$19,871 | $3 | -$132 | -$20,000 |
Mastering the Time Value of Money (TVM)
The Time Value of Money is the structural foundation of modern corporate finance, lending models, and capital valuation. It explains why money today is inherently more valuable than identical future sums due to opportunity returns.
Solving the Five Parameters
Standard financial calculations consist of five key values:
- Present Value (PV): The lump-sum value of cash flows today.
- Future Value (FV): The worth of a series of cash flows at a future date.
- Payment (PMT): The constant periodic addition or discharge.
- Number of Periods (N): The duration of compounding events.
- Interest Rate (IY): The annual nominal percentage yield.
By selecting one variable to solve for and inputting the other four, our calculator solves the algebraic relation iteratively or directly.
Iterative Solving for Yields
While variables like PV, FV, and PMT can be solved directly with closed-form algebraic formulas, interest rate solver is mathematically transcendental. It requires an iterative numerical method (specifically the Newton-Raphson or Bisection method) to find the root of the equation within tolerance.
Frequently Asked Questions
What is Time Value of Money (TVM)?
Time Value of Money (TVM) is the core financial concept that money available now is worth more than the identical sum in the future due to its potential earning capacity.
What are the five variables in TVM?
The five variables are: 1) PV (Present Value), 2) FV (Future Value), 3) PMT (Periodic Payment), 4) N (Number of compounding periods), and 5) I/Y (Annual interest rate or yield).
How does the cash flow sign convention work in financial calculators?
Cash flow signs indicate the direction of money. Outflows (money paid out) are entered as negative numbers, while inflows (money received) are entered as positive numbers.
Can this solve any TVM variable?
Yes. Solve for PV, FV, PMT, N, or Interest Rate with custom compounding options.