Chapter 24


Valuing the firm

What is a firm worth? Answering this question will allow you to determine if it is undervalued or overvalued compared to its peers. Unfortunately, there is no single model for analysing what a firm is worth. Here, we describe four different models and we explain the pros and cons of each one.

When to use it

  • To decide the right price when making an acquisition.
  • To defend your own company against an acquisition.
  • As an investor, to decide when to buy or sell shares in a firm.

Origins

Managers and investors have needed to value firms for as long as there have been firms to buy or stocks to invest in. Early attempts at valuation focused on simple analysis of cash flows and profitability. As the notion of ‘time-value of money’ became understood, valuation methods started to incorporate discount rates and they also considered how a company was financed.

In a review of the use of discounted cash flow in history, R.H. Parker (1968) notes that the earliest interest-rate tables date back to 1340 and were prepared by Francesco Balducci Pegolotti, a Florentine merchant and politician. The development of insurance and actuarial sciences in the next few centuries provided an impetus for a more thorough study of present value. Simon Stevin, a Flemish mathematician, wrote one of the first textbooks on financial mathematics in 1582, in which he laid out the basis for the present value rule.

What it is

Firm-valuation methods all involve analysing a firm’s financial statements and coming up with an estimate of what the firm is ultimately worth. There are absolute methods, which hone in on the firm’s ability to generate cash and its cost of capital, and there are relative methods, which compare a firm’s performance with that of its peer group. Be aware that the estimate of a firm’s value will change depending on the technique being used and the assumptions the analyst has selected.

How to use it

The basic question that investors ask is this: ‘Is the firm undervalued or overvalued relative to its stock price?’. Here, we illustrate four firm-valuation techniques:

  1. Asset-based valuation – based solely on its balance sheet.
  2. Comparable transaction valuation – when compared to its peer group.
  3. Discounted cash flow – given its stream of future cash flows and its cost of capital.
  4. Dividend discount model – given the dividend stream it intends to return to investors.

Let’s work through an example to see how the four valuation methods are put into practice. Here we have a firm, Luxury Desserts, which produces high-end desserts for the New York City market. It has historical results from 2013 to 2015 and projected results over the next five years (all figures in thousands – see table below).

One can see that this firm intends to grow its revenues rapidly. While net income is expected to grow, net margin is anticipated to remain about the same. Looking at Luxury Dessert’s balance sheets for the past few years (below), we can see that the firm’s retained earnings have increased, and it is carrying about half-a-million in cash on its books. We have also compiled a set of dessert companies that are similar to Luxury Desserts (below). We will use this set of comparators in our analysis.

Note that one of the firms, Sunrise Treats, has significantly higher sales than the rest of the comparators.

Asset-based valuation

This technique looks at the fair-market value of the company’s equity, which is calculated by deducting total liabilities from total assets. The focus is on the fair-market value of its total assets minus total liabilities. According to basic accounting principles, a firm’s income statement provides a measure of its true earnings potential, while the balance sheet gives a reliable estimate of the value of the assets and equity in the firm.

Luxury Desserts: recent and projected income statements

Income statement 2013 2014 2015 2016 F 2017 F 2018 F 2019 F 2020 F
Revenue $4,407 $5,244 $5,768 $7,822 $9,878 $12,442 $14,654 $17,161
Labour $1,763 $2,045 $2,192
Materials $1,542 $1,730 $1,904
Gross margin $1,102 $1,468 $1,673 $2,212 $2,693 $3,283 $3,856 $4,518
Total other expenses $686 $815 $960 $1,173 $1,482 $1,866 $2,198 $2,574
EBITDA $415 $654 $713 $1,038 $1,212 $1,416 $1,658 $1,944
Amortisation $103 $107 $112 $115 $169 $172 $175 $177
Interest expense $18 $18 $18 $160 $160 $160 $160 $160
EBT $295 $528 $583 $763 $883 $1,084 $1,323 $1,607
Tax (38%) $112 $201 $222 $290 $335 $412 $503 $611
Net income $183 $328 $361 $473 $547 $672 $820 $996
Net margin 4.2% 6.2% 6.3% 6.0% 5.5% 5.4% 5.6% 5.8%

Luxury Desserts: balance sheets

Balance sheet 2013 2014 2015
Assets
Cash $76 $249 $546
Accounts receivable $749 $813 $808
Prepaid expenses $110 $131 $144
Inventory $220 $247 $293
Fixed assets $1,073 $1,115 $1,154
$2,228 $2,555 $2,944
Liabilities and equity
Operating line $– $– $–
Accounts payable $278 $277 $305
Long-term debt $200 $200 $200
$478 $477 $505
Contributed equity $250 $250 $250
Retained earnings $1,501 $1,828 $2,190
$2,228 $2,555 $2,944

Luxury Desserts: comparable firms

Target company 2015 Sales EBITDA Target price
Artisan Cakes $12,000 $1,300 $7,800
Italian Bakery $2,200 $350 $1,225
Wedding Cake Suppliers $3,000 $600 $2,700
Sunrise Treats $35,000 $3,000 $36,000
Meadow Breads $6,000 $750 $3,000

In Luxury Desserts’ case, total assets are $2,944,000 and total liabilities are $505,000, leaving net asset value, or equity, of $2,440,000. If we assume the market value of equity is the same as the net asset value, then Luxury Desserts is worth just under $2.5 million. This is one way of valuing a firm, but – as we will see – it is typically an underestimate of value because there are some assets (such as loyal customers or the power of a brand) that are not put on the balance sheet.

Comparable transaction valuation

The second valuation method looks for comparable firms to see how much they are trading for on the stock market. When you want to sell your home, you estimate its value by looking at how much a similar house down the street sold for, and this is the same principle.

The challenge here is identifying the right comparison firms. Ideally, a comparable firm is one that is quite similar – a direct competitor in the same industry – but of course it is very difficult to find firms that are so well matched. In practice, most analysts start by comparing the firm being valued to four or five of the closest competitors in its industry sector. If there are more than a handful of candidates, the analyst can focus on firms of similar size and growth potential. For example, in the smartphone industry, an analyst might compare Apple Inc. to Samsung as both are market leaders, but exclude Sony’s entry, assuming financials can be broken out for the latter unit.

We have five comparators for this valuation exercise. Dividing the target price by EBITDA, we arrive at what multiple of EBITDA each firm is worth:

Target company 2015 Sales EBITDA Target price EBITDA multiple
Artisan Cakes $12,000 $1,300 $7,800 6.0×
Italian Bakery $2,200 $350 $1,225 3.5×
Wedding Cake Supplies $3,000 $600 $2,700 4.5×
Sunrise Treats $35,000 $3,000 $36,000 12.0×
Meadow Breads $6,000 $750 $3,000 4.0×
Average 6.0×
Average excluding Sunrise Treats 4.5×

Notice that the average is computed both with and without Sunrise Treats. Because Sunrise Treats is significantly larger than the rest of the firms, one can argue for an exclusion of Sunrise Treats in the analysis. Given that Luxury Desserts had 2015 EBITDA of $713,000, we can estimate the value of Luxury Desserts based on the comparable transactions analysis (000s):

2015 EBITDA Implied value
Average 6.0× $713 $4,275
Average excluding Sunrise Treats 4.5× $713 $3,206

Depending on the comparator set used, Luxury Desserts is estimated to be worth $3,206,000 or $4,275,000. We have used a multiple of EBITDA in our comparable transactions analysis. Other multiples may be used in combination or in place of a multiple of EBITDA. These include earnings multiples and sales multiples, to cite two examples.

Discounted cash flow (DCF)

The DCF analysis is based on the observation that the value of the firm is linked to how much free cash flow it can generate. These cash flows are discounted back to present value using the firm’s discount rate. The firm’s discount rate is its cost of capital, which includes what its shareholders expected to earn on equity and what its debt-holders are owed on its debt.

The typical DCF calculation discounts a firm’s ‘unlevered free cash flow’ (UFCF) by a discount rate to get to the present value of the projected results. UFCF simply means the firm’s cash flows before it makes interest payments – hence the use of the term ‘unlevered’ in the metric.

Let’s look at Luxury Dessert’s example:

DCF 2016 F 2017 F 2018 F 2019 F 2020 F
Unlevered free cash flow (UFCF)
Revenue $7,821.8 $9,877.8 $12,442.1 $14,654.1 $17,160.9
EBITDA $1,038.3 $1,211.7 $1,416.3 $1,658.1 $1,944.1
 less: Amortisation –$115.4 –$168.8 –$172.0 –$174.8 –$177.3
EBIT $922.9 $1,042.8 $1,244.4 $1,483.4 $1,766.9
 less: Tax (38%) –$350.7 –$396.3 –$472.9 –$563.7 –$671.4
EBIAT $572.2 $646.6 $771.5 $919.7 $1,095.4
EBIAT $572.2 $646.6 $771.5 $919.7 $1,095.4
 add: Amortisation $115.4 $168.8 $172.0 $174.8 $177.3
 less: Capex –$650.0 –$200.0 –$200.0 –$200.0 –$200.0
  less: Working capital investment –$150.0 –$150.0 –$150.0 –$150.0 –$150.0
UFCF (unlevered free cash flow) –$112.4 $465.4 $593.5 $744.4 $922.7

Note that the calculation starts with EBITDA, removes amortisation (the ‘DA’), then calculates the tax on EBIT (remember that this is a firm’s ‘unlevered’ cash flow calculation). The result is EBIAT, or earnings before interest but after tax. Then amortisation, which is a non-cash expense, is added back, and cash expenses for capital expenditures and any investments in working capital are deducted. The result is UFCF.

Let’s assume the weighted average cost of capital (WACC) for our discount rate is 18 per cent. Using the assumed WACC, we find that the present value of Luxury Desserts’ UFCF is $1,406,000 (see table below).

Don’t miss out on an important step in this exercise: determining the terminal value of the firm. The tricky thing is that Luxury Desserts is expected to continue operating after the fifth year (2020). In calculating a terminal value for the UFCFs before 2020, we can assume a perpetual growth rate (g) of 4.0 per cent, and the same WACC of 18 per cent. The formula for terminal value is:

Net present value of UFCF 2016 F 2017 F 2018 F 2019 F 2020 F
Period 1 2 3 4 5
Discount factor 0.85 0.72 0.61 0.52 0.44
PV of UFCF –$95.3 $334.2 $361.2 $384.0 $403.3
Total PV of UFCF $1,387.5

 

Thus, the terminal value for Luxury Desserts at the end of 2020 is*:

 

 

We find the present value of this terminal value by multiplying $6,856,571 by 0.44 (it’s 0.4371 before rounding) to get $2,997,007. In the previous example, 0.44 is the discount factor for 2020, or the end of the fifth year. Note that the present value of the terminal value is much higher than the present value of the five years of cash flows. This is why it is important to remember to estimate a terminal value in the first place.

We add the present value of the UFCFs ($1,387,458) to the present value of the terminal value ($2,997,007) to get Luxury Desserts’ DCF value of $4,384,465.

Dividend discount model

This method simply looks at the cash to be received by shareholders. Investors look either for capital gains (think high-tech ‘Unicorns’ or startups worth more than $1 billion, many of which have never turned a profit), or for dividends (for example, telecommunications and utilities).

This model works best when dividends are known, are steady and are expected to grow at a predictable rate. The simplest version of the dividend discount model, the ‘Gordon growth model’, can be used to value a firm that is in ‘steady state’ with dividends growing at a rate that can be sustained forever. The Gordon growth model relates the value of a stock to its expected dividends in the next time period, the cost of equity and the expected growth rate in dividends.

Where:

  1. DPS1 = the expected dividend one period from now.
  2. ke = the required rate of return for equity holders.
  3. g = the perpetual annual growth rate for the dividend.

Using Luxury Desserts’ example, let’s assume investors can expect dividends of $400,000 per year, growing at rate of 15 per cent a year in perpetuity:

Expected dividend one period from now 400
Required rate of return for equity holders 26%
Perpetual annual growth rate for the dividend 15%
$3,636

In this case, Luxury Desserts is worth $3,636,000.

In summary, the various valuation methods yield different results due to the different inputs used in the calculations:

  • Asset-based valuation: $2,440,000.
  • Comparable transaction valuation: $3,206,000 to $4,275,000.
  • Discounted cash flow: $4,384,465.
  • Dividend discount model: $3,636,000.

Clearly there is no single right answer to the question, ‘What is Luxury Desserts worth?’. This analysis provides a range of estimates (from $2.4m to $4.4m), and as an analyst or potential investor you would now be expected to consider various subjective factors to come to an opinion on what number is most realistic. Some of these factors are about the intangible strengths and weaknesses of the firm – for example, how loyal its customers are, or how skilled you consider the firm’s managers to be. Equally important are external factors, such as how volatile the market is or whether new competitors are emerging.

Finally, you also have to consider how strongly the current owners of the firm want to sell, and whether other buyers are out there. Such factors often result in a much higher price being paid than would be expected using these valuation methods.

Top practical tip

For valuation analysis to be useful and meaningful, make sure to use several techniques as part of your due diligence process. They will always yield slightly different results, and these differences help you to build a more complete picture of the firm you are valuing. It is also important to understand the mechanics behind your calculations, to get a sense for which inputs are the most heavily weighted.

Top pitfall

The biggest mistake in valuation analysis is to assume that the calculations are ‘right’. Remember, all these techniques are based on assumptions. So learn to be critical about the inputs you are given, as a small change (such as the assumed growth rate) can have a large impact on the final valuation.

Further reading

Berk, J. and DeMarzo, P. (2013) Corporate Finance: The core. Harlow, UK: Pearson.

Gordon, M.J. and Shapiro, E. (1956) ‘Capital equipment analysis: The required rate of profit’, Management Science, 3(1): 102–110.

Parker, R.H. (1968) Discounted Cash Flow in Historical Perspective. Chicago, IL: Institute of Professional Accounting.


*A reminder: rounded values are used here only for presentation purposes.

..................Content has been hidden....................

You can't read the all page of ebook, please click here login for view all page.
Reset
3.143.17.27