The future value, FV , of a series of cash flows is the future value, at future time N (total periods in the future), of the sum of the future values of all cash flows, CF. When cash flows are at the beginning of each period there is an additional period required to bring the value forward to a future value.

How do you find the future value of multiple cash flows?

If the multiple cash flows are a part of an annuity, you’re in luck; there is a simple way to find the FV. If the cash flows aren’t uniform, don’t occur at fixed intervals, or earn different interest rates, the only way to find the FV is do find the FV of each cash flow and then add them together.

How do you calculate future value?

The future value formula is FV=PV(1+i)n, where the present value PV increases for each period into the future by a factor of 1 + i. The future value calculator uses multiple variables in the FV calculation: The present value sum. Number of time periods, typically years.

How do you calculate the future value of uneven cash flows?

When a cash flow stream is uneven, the present value (PV) and/or future value (FV) of the stream are calculated by finding the PV or FV of each individual cash flow and adding them up.

What is future value of uneven cash flow?

The future value of uneven cash flows is the sum of future values of each cash flow. It can also be called “terminal value.” Unlike annuities where the amount of payment is constant, many financial instruments and assets generate cash flows that can vary from period to period.

How do unequal cash flows affect the future value of an investment?

An uneven stream of cash flows that has greater cash flows in the beginning has a higher FV because those larger cash flows have more time to compound.

How to determine the future value of cash flows?

Compute the future value of one-time cash flows, such as a special cash dividend from a company. First, add the interest rate per period in decimal form to 1 and raise the sum to the power of the total number of compounding periods. The interest rate per period is the annual rate divided by the number of compounding periods per year.

How is the PV and FV of multiple cash flows related?

The PV of multiple cash flows follows the same logic as the FV of multiple cash flows. The PV of multiple cash flows is simply the sum of the present values of each individual cash flow. Sum FV: The PV of an investment is the sum of the present values of all its payments. Each cash flow must be discounted to the same point in time.

What is the future value of my investment?

By the end of the year 3, our future value is $115.76. You will notice that the year 2 return of 5% is multiplied to the total of the initial investment plus the year 1 return. This creates a situation where we earn $5 in year 1, but $5.25 in year 2.

How to calculate present value and future value?

Now, let’s look at the formula for calculating present value, which simply re-arranges the formula for future value: Let’s use our future value of $115.76, rate of 5%, and time of 3 years to calculate present value: Let’s run through a few more examples to make sure we have the hang of it: