## What is deferred perpetuity?

Perpetuity is a series of fixed payments that last for an infinite period. Delayed or deferred perpetuity is a perpetual flow of cash flow that begins at a predetermined date in the future.

Fixed dividend preferred stocks are often valued on a perpetuity formula. If the dividends come in five years, rather than next year, the cash flow would be considered deferred in perpetuity.

## Understanding Deferred Perpetuity

In financial terms, perpetuity refers to a constant series of payments received over time with no end date. Rather than cash outflows in the present, a deferred perpetuity financial instrument has payments that begin at a specified time in the future. Deferred perpetuity is also called deferred perpetuity.

Key points to remember

- Perpetuity refers to a fixed set of payments that continue without an end date.
- Delayed or deferred perpetuity is a term that refers to payments that begin on a future start date.
- A deferred annuity, where retirement benefits are paid at a later date with fixed payments for life, uses the concept of deferred perpetuity.

It is possible to calculate the present value of a financial instrument that relies on deferred perpetuity. One such example involves a version of the perpetuity formula, but which takes into account the present value of deferred income.

It is important to remember that the net present value, or NPV, of deferred perpetuity is lower than ordinary perpetuity. This is due to the principles of the time value of money, according to which the money available now is worth more than the same amount of money available in the future.

Money in the present is more valuable because of its potential ability to earn interest, as well as other opportunity costs associated with money received deferred. When calculating the present value of payments deferred in perpetuity, the payments must be discounted to account for the delay.

## Examples of deferred perpetuity

Fixed dividend stocks, also called preferred stocks, can be structured as deferred perpetual payouts if payouts are to begin at a later date rather than right away.

Retirement products are often structured using the concept of deferred perpetuity because they are designed to make fixed periodic payments for an unknown lifetime of the retiree. They allow retirees or future retirees to invest money now to fund day-to-day retirement expenses later.

The terminal value of a project or business can be considered an example of deferred perpetuity. Terminal value (TV) is the value of an asset, business or project beyond the expected period when future cash flows can be estimated and produce a fixed cash flow indefinitely.

A deferred annuity is a financial instrument that relies on deferred perpetuity. Investors in a deferred annuity receive a rolling stream of fixed payments in perpetuity beginning at a future date. For example, a deferred annuity may provide payments of $10,000 per year for life, with the first payment delayed until the end of the sixth year.

## How does an investor calculate the present value of a deferred perpetuity?

The formula for calculating the present value of deferred perpetuity is:

- PV = ( CF / r ) * ( 1 / ( 1 + r ) ( n − 1 ) )

Where

- CF = annual cash flow
- r = discount rate
- n = number of deferral periods

## What is the difference between perpetuity and deferred perpetuity?

Although both represent an infinite stream of cash flow, perpetuity begins immediately with the first cash flow. Deferred perpetuity is a flow of cash flow that begins after a specified period, such as a dividend that begins five years after a new business is established.

## Why is the calculation of perpetuity or deferred perpetuity important?

The perpetuity formula allows financial experts to assign a present and future value to shares, properties, land and additional investments.

## The essential

Deferred perpetuity is a perpetual flow of cash flow that begins at a predetermined date in the future. Financial instruments that use deferred perpetuity include retirement investments and annuities. Deferred perpetuity is also called deferred perpetuity.