# How do you calculate future value days?

## How do you calculate future value days?

The future value formula

- future value = present value x (1+ interest rate)n Condensed into math lingo, the formula looks like this:
- FV=PV(1+i)n In this formula, the superscript n refers to the number of interest-compounding periods that will occur during the time period you’re calculating for.
- FV = $1,000 x (1 + 0.1)5

## How do you draw a time value of money timeline?

When solving a time value of money problem, it is sometimes easy to draw a timeline to present the cash flows on it. Once we have the timeline, we can easily understand the variables and visualize the present value or future value calculations.

**How is the PV of an annuity related to the future value?**

The relationship in equation terms can be illustrated as below: Multiplying the PV of an ordinary annuity with (1+i) shifts the cash flows one period back towards time zero. The last difference is on future value. An annuity due’s future value is also higher than that of an ordinary annuity by a factor of one plus the periodic interest rate.

**Why is the future value of an annuity smaller?**

The future value for annuity due is smaller for the same reason. For future value FVIF will always be a number larger than one, except for the first year where it will be one, so the total sum will be a smaller number. Please do not be mislead by the number of years on the timelines.

### When is the last payment of an annuity made?

The payment for the last period, i.e., period n, is received at the beginning of period n to complete the total payments due. Annuity due refers to a series of equal payments made at the same interval at the beginning of each period.

### How to calculate the present value of an ordinary annuity?

In order to calculate the present value of an ordinary annuity (PVOA), you need to know the other four components mentioned above: Let’s assume that on May 1, 2020, you are asked to determine the present value of a series of $1,000 receipts. The receipts will be received each year on May 1 beginning in 2021 and ending in 2025.