Finance Calculator (TVM)
Solve for any Time Value of Money variable: N (periods), I/Y (rate), PV, PMT, or FV.
Enter details and click Calculate
Finance Calculator (TVM) — Solve Any Time Value of Money Problem
The Time Value of Money (TVM) is the most fundamental concept in finance: a rupee today is worth more than a rupee in the future. This is because money available now can be invested and earn returns. TVM calculations power everything from loan EMI to retirement planning, from investment evaluation to insurance comparisons.
This TVM calculator works like a financial calculator (equivalent to the BA II Plus used in CFA exams) — you enter any 4 of the 5 variables, and it solves for the unknown 5th. "How much do I need to invest monthly to accumulate ₹1 crore in 20 years at 12%?" — this calculator answers it in seconds.
What is Business Finance?
Business finance encompasses the management of money and financial resources within a company — including funding operations, managing cash flow, making investment decisions, and planning for growth. The Time Value of Money (TVM) is the foundational concept: money available today is worth more than the same amount in the future because of its earning potential.
- TVM calculations answer core financial questions: how much is a future payment worth today (present value), how much will today's investment be worth in the future (future value), and what payment is needed to reach a goal (PMT).
- Sources of business finance: equity (owner's capital, venture capital), debt (bank loans, bonds), and retained earnings — each with different cost, risk, and control implications.
- WACC (Weighted Average Cost of Capital) is the benchmark return rate a business must exceed on investments — projects returning more than WACC create value; those returning less destroy it.
- Working capital management ensures sufficient cash for day-to-day operations while minimising idle funds — the cash conversion cycle (inventory days + debtor days − creditor days) measures this efficiency.
The 5 TVM Variables
- I/Y = Annual interest/return rate (%)
- PV = Present Value (today's lump sum — negative if you're paying it)
- PMT = Periodic payment (monthly EMI/SIP — negative if you're paying)
- FV = Future Value (final amount)
- Enter any 4 → calculator solves for the 5th
- Examples:
- "What's my loan EMI?" → Know PV (loan), I/Y, N → solve for PMT
- "How long to repay?" → Know PV, I/Y, PMT → solve for N
- "What return do I need?" → Know PV, PMT, N, FV → solve for I/Y
- "How much to invest monthly?" → Know FV, I/Y, N → solve for PMT
Practical Examples
Example 1 — Retirement Planning:
Want ₹2 crore at retirement in 25 years. Have ₹5,00,000 today. Expected return 12% p.a. How much to invest monthly?
N=300 months, I/Y=12%, PV=-500000, FV=20000000 → solve for PMT = ₹7,241/month
Example 2 — Education Planning:
Child's education costs ₹25 lakh in 10 years. How much to invest monthly at 12%?
N=120, I/Y=12%, PV=0, FV=2500000 → PMT = ₹10,973/month
Example 3 — Loan Payoff Timeline:
Credit card debt ₹1,50,000 at 36% p.a., paying ₹8,000/month. When paid off?
PV=150000, I/Y=36%, PMT=-8000 → N = 24.7 months
Key Terms
- N (Periods)
- Total number of payment periods. Always use the same unit as the payment frequency — if monthly payments, N = total months.
- I/Y (Interest Rate)
- Annual interest/return rate. The calculator converts to periodic rate internally.
- PV (Present Value)
- The value of money today. Cash outflows (investments, loan principal) are entered as negative.
- PMT (Payment)
- Regular periodic payment amount. Monthly SIP investments or loan EMIs. Outflows are negative.
- FV (Future Value)
- The final amount after N periods. Target corpus or final loan balance.
Frequently Asked Questions
N = Number of periods; I/Y = Annual interest rate; PV = Present Value (current amount); PMT = Periodic payment (monthly); FV = Future Value (final amount). In any TVM problem, you know 4 of these and solve for the 5th. Cash outflows (money you pay) are negative; inflows (money you receive) are positive.
Set FV = your target retirement corpus (e.g., ₹5 crore), N = months to retirement, I/Y = expected return (e.g., 12%), PV = current savings. Solve for PMT to find the monthly SIP required. To find how long your corpus lasts in retirement: set PV = corpus, PMT = monthly expense (negative), I/Y = conservative return (6-7%) → solve for N.
PV (Present Value) is the value of an amount in today's money. FV (Future Value) is what that amount grows to after N periods at rate I/Y. They are connected by compounding: FV = PV × (1 + r)^n. Discounting converts FV back to PV. For example, ₹1 lakh today at 10% for 10 years: PV = ₹1,00,000, FV = ₹2,59,374.
The EMI calculator is a specialized version of the TVM calculator that solves for PMT given PV (loan), I/Y (rate), and N (tenure). The TVM calculator is more flexible — it can solve for any variable. For loans: enter PV=loan amount, N=months, I/Y=rate, FV=0, solve for PMT (EMI). Or enter the EMI as PMT and solve for N (payoff time) or I/Y (implied rate).
It depends on your timeline and expected return. At 12% p.a.: 10 years → ₹43,471/month; 15 years → ₹19,900/month; 20 years → ₹10,109/month; 25 years → ₹5,323/month; 30 years → ₹2,861/month. The earlier you start, the smaller the monthly amount needed. Starting at 25 instead of 35 reduces required SIP by nearly 4x!