Present Value Calculator
PV = FV / (1 + r)^n
Where:
PV = Present Value
FV = Future Value
r = Interest Rate per period
n = Number of periods
Metric | Value |
---|---|
Present Value | $0.00 |
Future Value | $0.00 |
Total Principal | $0.00 |
Total Interest | $0.00 |
Period | Deposits | Interest | End Balance |
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PV = PMT × [(1 + r)^n - 1] / [r(1 + r)^n] (PMT at end)
PV = PMT × [(1 + r)^n - 1] / [r(1 + r)^(n - 1)] (PMT at beginning)
Where:
PV = Present Value
PMT = Periodic Payment
r = Interest Rate per period
n = Number of periods
Understanding Present Value in Finance
What is Present Value (PV)?
Present Value, often abbreviated as PV, represents the current worth of a future sum of money. This concept acknowledges that money received in the future is not equivalent to the same amount received today due to its potential to grow through investment and compounding at a specific rate of return. Essentially, PV helps you understand how much a future amount is worth in today’s dollars.
Net Present Value (NPV) Explained
A widely used concept in the world of finance is Net Present Value, or NPV. It’s important to distinguish between PV and NPV. While PV is often a fundamental concept explored in finance education and used by financial calculators, NPV has more direct and practical applications in everyday financial decisions.
NPV is a common metric in financial analysis and accounting, used in calculations related to capital investments and depreciation, for example. The key difference lies in the word “net.” While PV focuses on the current value of a single future sum or stream of cash flows, NPV considers the net of all cash inflows (money coming in) and all cash outflows (money going out) over a period. It’s similar to calculating a business’s net income after subtracting expenses from revenue, or determining the net benefit of a decision by weighing its advantages and disadvantages. The inclusion of “net” signifies the combination of both positive and negative financial values.
The Role of PV in the Time Value of Money
Present Value (PV), alongside Future Value (FV), Interest Rate (I/Y), Number of Periods (N), and Periodic Payment (PMT), is a crucial component of the time value of money. This fundamental principle forms the very foundation of modern finance. Without the concept of present value, financial instruments like mortgages, auto loans, and credit cards, which involve future payments discounted back to their current worth, simply wouldn’t exist in their current form.
If you’re interested in exploring the concept of how today’s money can grow over time, feel free to visit our Future Value Calculator. For a concise and educational introduction to the core principles of finance and the time value of money, our main Finance Calculator is a great place to start.
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