## Understanding Present Value and How to Solve for it.

In this post we simplify present value time value of money calculations. This is a continuation of our blog posts on understanding the time value of money. If time value of money is a new term for you then check out our first post in this series on the time value of money. In that post we cover the basics of time value of money.

What is the value in today’s dollar of an amount of money that will be received in the future? This is what present value calculations find.

When solving for present value we use the term discount rate instead of annual interest rate because we are discounting a future sum of money back to its present value.

The easiest way to calculate present value is with the time value function on a financial calculator. If you are trying to determine what the present value of \$1,000,000 is that you will receive in 10 years at a 10% discount rate then you would enter the following inputs into your calculator.

FV=1,000,000

I/Y=10

N or Periods = 10

PV=?

Click CPT PV and you should get = -385,543.29. (this answer is rounded to two decimal points)

*Note getting a negative on either PV or FV is normal. Typically if you are solving a Time Value of Money question that includes both PV and FV you have to make one of them negative for it calculate properly. The reason it is like this is because it is showing money leaving your hand as the negative and returning as the positive.

The greater the discount rate is will equal a smaller present value given that everything else is the same between two future value sums of money. For example if the same numbers are used from above, but the discount rate is 4% instead then the present value will be larger.

FV=1,000,000

I/Y=4

N or Periods = 10

PV=?

CPT PV = -675,564.17

If you are wondering how time value of money is affecting your life then consider this- from a practical standpoint understanding time value of money is important in making every basic savings, credit and investing decision. It is key knowing how to create and maintain wealth.