# Terminal Value

## Part – 5

In our last tutorial, We learnt about Projection of working capital using simple assumption.In this article we will learn about terminal value  also methodologies foe calculation of  terminal value.

### Terminal Value Definition

Terminal Value estimates the perpetuity growth rate and exit multiples of the business at the end of the forecast period, assuming a normalized level of cash flows. Since DCF analysis is based on a limited forecast period, a terminal value must be used to capture the value of the company at the end of the period. The terminal value is added to the cash flow of the final year of the projections and then discounted to the present day along with all other cash flows.

### How to calculate terminal value ?

Terminal values can be calculated based on two methodologies:

1. Perpetuity value
2. Exit multiple.

(Click the picture to enlarge)

### Step 4: Calculate Terminal Value

#### Terminal Value Calculations – Perpetuity Growth Method

Perpetuity value of normalized terminal cash flow

This approach calculates the value of the business on the assumption that it will operate into perpetuity. Two perpetuity formulae can be utilized, both of which should be shown in a DCF analysis.

#### Gordon growth perpetuity model

The first method is growing perpetuity, which is a preferred method. A growing perpetuity assumes that growth of the business will continue and that the necessary new capital will return more than its cost. Growth requires capital spending, and thus a growing perpetuity begins with free cash flow rather than EBIT (1 – tax rate).

The formula for a growing perpetuity is as follows:

n is the final year of the projection period, and g is the nominal growth rate expected into perpetuity. The nominal growth rate is generally the inflation rate component of the discount plus an expected real growth (or minus a deflation) in the business.

A reasonable range for perpetuity growth is the nominal GDP growth rate of the country.

Please note that it is important to match nominal cash flows with nominal discount rates.

Terminal Value (perpetuity method) of ABC =

When WACC = 10% & Growth rate  = 4.5%,

#### No growth perpetuity model

The second assumes that a company earns its cost of capital on all new investments into perpetuity. As such, the level of investment growth is irrelevant because such growth does not affect the value (i.e. the growth rate is zero and Capital Expenditure is equal to depreciation and amortization). Such a methodology is appropriate in industries in which competition is expected to eliminate excess returns, thus driving asset returns to the cost of capital.

To calculate such a non-growing perpetuity, the following formula is used:

Year n is the final year of the projection.

Very few analysts use the no growth perpetuity model for calculating Terminal Value.

#### Terminal Value Calculations – Exit multiple

This approach uses the underlying assumption that the business will be valued on a market multiple basis at the end of year n. A value is typically determined as a multiple of EBIT or EBITDA. For cyclical businesses, an average EBIT or EBITDA over the course of a cycle is used rather than the amount in year n. When selecting a multiple, a normalized level should be used. In other words, an industry multiple should be applied which is adjusted to take into account cyclical variations, rather than applying a current multiple which can be distorted by industry or economic cycles. Multiples should typically be based on an analysis of comparable companies and/or transactions.

Most models will incorporate both valuation approaches, and will often include sensitivities which show values at various discount rates, growth rates, and terminal multiples. It is imperative that you discuss relevant growth and terminal multiple assumptions with your team because what defines a reasonable range of parameters varies by company, industry, economic conditions, etc. Extreme caution is advised as the terminal value is often a major part of the total firm value (>60%). It is useful to calculate the EBIT and EBITDA multiples implied by a perpetuity growth terminal value and vice versa, as a test of reasonableness. Terminal value represents the present value in the final projection year of the company’s free cash flows after the final year.

When the EBITDA transaction multiple is 7x,

### Step 5 – Terminal Value Reality check of assumptions

It is always helpful to calculate the implied perpetuity growth rate and the exit multiple by cross linking each other. Resulting implied growth rate or the exit multiple should be reasonable comfort zone. Implied Exit Multiple may be too high or too low or vice versa.

Calculate the Implied Growth rate and implied exit multiple for ABC company and double check if they are reasonable.

#### For calculating implied growth rate:

For calculating implied exit multiple:

What next

Now that we have understood terminal spot check, I our next article we will Understand Capital Structure.Till then, Happy Learning!

Posted in dcf
Part 1      Discounted Cash Flow
Part 2      Free Cash Flow
Part 3      Discounted Cash Flow Analysis
Part 4      Working Capital
Part 5      Terminal Value
Part 6      Capital Structure
Part 7      Convertible Bonds
Part 8      Stock Options
Part 9      WACC
Part 10   Cost of Equity
Part 11    CAPM
Part 12    What is BETA
Part 13    Unlevered beta and Levered beta