Calculate Today's Value of Money

The time value of money is a fundamental financial concept that helps you understand how money changes in value over time due to inflation or interest. This calculator helps you adjust past or future money amounts to today's value, making it easier to compare different financial decisions.

What is Time Value of Money?

The time value of money refers to the concept that money available today is worth more than the same amount in the future because it can be invested and earn interest, or because it can be spent now rather than later when prices may be higher due to inflation.

There are two main aspects of time value of money:

Present Value (PV): The current worth of a future sum of money given a specified rate of return.
Future Value (FV): The value of a current asset or cash flow in the future based on an assumed rate of return.

Understanding time value of money helps investors make better decisions about when to spend or save money, and how to compare different investment opportunities.

How to Use This Calculator

To calculate today's value of money, you need to know:

The original amount of money
The number of years that have passed or will pass
The annual interest rate (for investment scenarios)
The annual inflation rate (for spending power scenarios)

Enter these values into the calculator, select whether you're calculating present value or future value, and click "Calculate". The result will show you the adjusted amount in today's terms.

Formula Explained

The formulas used in this calculator are based on the following principles:

Future Value Formula

FV = PV × (1 + r)ⁿ

Where:

FV = Future Value
PV = Present Value
r = Annual interest rate (as a decimal)
n = Number of years

Present Value Formula

PV = FV ÷ (1 + r)ⁿ

Where:

PV = Present Value
FV = Future Value
r = Annual interest rate (as a decimal)
n = Number of years

Inflation-Adjusted Value

Adjusted Value = Original Value × (1 + i)ⁿ

Where:

i = Annual inflation rate (as a decimal)
n = Number of years

These formulas help you account for the time value of money by adjusting amounts for changes in interest rates or inflation over time.

Worked Examples

Example 1: Calculating Future Value

Suppose you have $1,000 today and want to know how much it will be worth in 5 years with an annual interest rate of 3%.

Using the future value formula:

FV = $1,000 × (1 + 0.03)⁵ = $1,000 × 1.159274 = $1,159.27

So, $1,000 today will be worth approximately $1,159.27 in 5 years.

Example 2: Calculating Present Value

Suppose you expect to receive $1,500 in 3 years and want to know what that's worth today with an annual interest rate of 2%.

Using the present value formula:

PV = $1,500 ÷ (1 + 0.02)³ = $1,500 ÷ 1.061208 = $1,413.45

So, $1,500 in 3 years is worth approximately $1,413.45 today.

Example 3: Adjusting for Inflation

Suppose you had $500 in 2010 and want to know what that would be worth today with an average annual inflation rate of 2%.

Using the inflation adjustment formula:

Adjusted Value = $500 × (1 + 0.02)¹³ = $500 × 1.3401 = $670.05

So, $500 from 2010 would be worth approximately $670.05 today.

Frequently Asked Questions

What is the difference between present value and future value?

Present value is the current worth of a future sum of money, while future value is the value of a current amount in the future. Present value is used to compare investments, while future value is used to plan for expenses or savings goals.

How does inflation affect the time value of money?

Inflation reduces the purchasing power of money over time. To account for inflation, you can adjust past or future money amounts using the inflation rate, which shows how much prices have increased over time.

What is the time value of money used for?

The time value of money is used to compare different financial decisions, evaluate investment opportunities, plan for retirement, and understand the cost of borrowing money. It helps people make better financial decisions by considering how money changes in value over time.

Can I use this calculator for both personal and business finances?

Yes, this calculator can be used for both personal and business finances. You can adjust money amounts for inflation, compare investment returns, or plan for future expenses using the same principles.