Present Value Calculator

Calculate the present value of a future sum, annuity, or growing annuity. Understand how much future money is worth today using time value of money principles.

Future Value ($)

Discount / Interest Rate (%)

Number of Periods (years)

Present Value

$50,834.93

Total Nominal Amount

$100,000.00

Total Discount

$49,165.07

Discount Factor

0.5083

Every $1.00 in the future is worth $0.5083 today

Present Value at Different Discount Rates

What Is $1,000,000 in 30 Years Worth Today?

At 3% rate

$411,986.76

41.2% of face value

At 5% rate

$231,377.45

23.1% of face value

At 7% rate

$131,367.12

13.1% of face value

At 10% rate

$57,308.55

5.7% of face value

Year-by-Year Discount Table

Year	Discount Factor	Present Value	Discount Amount
1	0.9346	$93,457.94	$6,542.06
2	0.8734	$87,343.87	$12,656.13
3	0.8163	$81,629.79	$18,370.21
4	0.7629	$76,289.52	$23,710.48
5	0.7130	$71,298.62	$28,701.38
6	0.6663	$66,634.22	$33,365.78
7	0.6227	$62,274.97	$37,725.03
8	0.5820	$58,200.91	$41,799.09
9	0.5439	$54,393.37	$45,606.63
10	0.5083	$50,834.93	$49,165.07

How to Use the Present Value Calculator

This calculator helps you determine what future money is worth in today's dollars. Select your calculation mode, enter the relevant values, and instantly see the present value along with a detailed year-by-year breakdown and visual chart.

Calculation Modes

Single Future Sum: Discounts a single lump-sum amount received in the future back to today. Use the formula PV = FV / (1 + r)^n.
Annuity: Calculates the present value of a series of equal periodic payments, such as loan payments or bond coupons.
Growing Annuity: Values a series of payments that increase at a constant growth rate each period, useful for modeling salary or dividend streams.

Reading the Results

The present value tells you what the future cash flow is worth today. The total discount shows how much value is lost to time. The discount factor is the ratio of present value to the nominal future amount. Use the chart to see how sensitive your result is to different discount rates.

Frequently Asked Questions

What is present value and why does it matter?+

Present value (PV) is the current worth of a future sum of money or stream of cash flows, given a specified rate of return. It matters because a dollar today is worth more than a dollar in the future due to its earning potential — this is the core principle of the time value of money. Present value calculations are essential for comparing investment opportunities, valuing bonds, evaluating business projects, and making informed financial decisions.

What is the difference between an ordinary annuity and an annuity due?+

An ordinary annuity makes payments at the end of each period (e.g., most bond coupon payments), while an annuity due makes payments at the beginning of each period (e.g., rent or lease payments). An annuity due is always worth more than an otherwise identical ordinary annuity because each payment is received one period sooner, giving it more time to earn returns. The present value of an annuity due equals the ordinary annuity PV multiplied by (1 + r).

How do I choose the right discount rate?+

The discount rate should reflect the opportunity cost of capital — the return you could earn on an alternative investment of similar risk. For risk-free comparisons, use Treasury bond yields. For business projects, use the company's weighted average cost of capital (WACC). For personal finance, use the expected return of your investment portfolio. Higher-risk cash flows warrant higher discount rates to account for uncertainty.

What is a growing annuity and when do I use it?+

A growing annuity is a series of payments that increase at a constant rate each period. It's used to model cash flows that grow over time, such as salary income that receives annual raises, rental income with built-in escalation clauses, or dividend streams from growing companies. The growth rate must be less than the discount rate for the formula to converge to a finite present value.

How does the discount rate affect present value?+

Present value and the discount rate have an inverse relationship: as the discount rate increases, the present value decreases. At a 3% discount rate, $1,000,000 in 30 years is worth about $412,000 today. At 7%, it drops to roughly $131,000, and at 10% it's only about $57,000. This dramatic sensitivity to the discount rate is why choosing the correct rate is the most critical assumption in any present value analysis.

What is a discount factor?+

A discount factor is a multiplier used to convert a future cash flow to its present value. It is calculated as 1 / (1 + r)^n, where r is the discount rate and n is the number of periods. For example, at a 5% annual rate, the 10-year discount factor is 1 / (1.05)^10 = 0.6139, meaning $1 received in 10 years is worth about $0.61 today. Discount factors always range between 0 and 1 and decrease as the rate or time period increases.