Lesson 7.4: Equity Valuation Models

Introduction

In this lesson, we will delve into the various equity valuation models essential for understanding how to assess the value of stocks. The primary focus will be on present-value models, particularly the dividend discount model (DDM) and the free cash flow (FCF) model. We will also explore multiples-based valuation and asset-based approaches. By the end of this lesson, students will be equipped with the knowledge to effectively evaluate equities using these models.

Learning Objectives

Understand present-value models, including the dividend discount and free-cash-flow approaches.
Learn to apply dividend discount and free-cash-flow models to value equity.
Utilize price multiples to estimate equity value.
Determine the appropriate valuation approach for different types of companies.

Present-Value Models

Present-value models are grounded in the principle that the value of an investment today is equal to the sum of all future cash flows it is expected to generate, discounted back to the present value using an appropriate discount rate. This concept underscores the time value of money, which states that money available today is worth more than the same amount in the future due to its potential earning capacity.

Dividend Discount Model (DDM)

The Dividend Discount Model (DDM) is a valuation method that estimates the value of a company's stock based on the present value of its expected future dividends. It operates under the assumption that dividends will grow at a stable rate over time.

Formula

The general formula for the DDM is:

$$\text{Value} = \frac{D_1}{r - g}$$

where:

$D_1$ is the expected dividend in the next period,
$r$ is the required rate of return,
$g$ is the growth rate of the dividends.

Example

Let's assume the following for a company:

The expected dividend for the next year ($D_1$) is $3.00.
The required rate of return ($r$) is 10% or 0.10.
The expected growth rate of the dividends ($g$) is 5% or 0.05.

Using the DDM formula, we can calculate the value of the stock:

$$\text{Value} = \frac{3.00}{0.10 - 0.05} = \frac{3.00}{0.05} = 60.00$$

Thus, the estimated value of the stock is $60.00.

Common Misconceptions

One common misconception is that the DDM can be applied to all companies. However, the DDM is only suitable for companies that pay regular and predictable dividends. Growth stocks that reinvest profits instead of paying dividends might not fit this model.

Free Cash Flow (FCF) Model

The Free Cash Flow model focuses on the cash generated by a company that can be distributed to investors. This model is more versatile than the DDM as it considers companies that do not distribute dividends but still generate excess cash.

Formula

The intrinsic value of equity can be calculated using the FCF model as follows:

$$\text{Value} = \sum_{t=1}^{n} \frac{FCF_t}{(1 + r)^t}$$

where:

$FCF_t$ is the free cash flow at time $t$,
$r$ is the discount rate,
$n$ is the number of periods.

Example

Consider a company that is expected to generate the following free cash flows for the next five years:

Year 1: $10 million
Year 2: $12 million
Year 3: $14 million
Year 4: $16 million
Year 5: $18 million

Assuming a discount rate ($r$) of 10% or 0.10, we can calculate the present value of the cash flows:

$$\text{PV} = \frac{10}{(1 + 0.10)^1} + \frac{12}{(1 + 0.10)^2} + \frac{14}{(1 + 0.10)^3} + \frac{16}{(1 + 0.10)^4} + \frac{18}{(1 + 0.10)^5}$$

By evaluating this expression:

Year 1: $9.09 million
Year 2: $9.92 million
Year 3: $10.53 million
Year 4: $10.93 million
Year 5: $11.19 million

The total present value is:

$$\text{Total PV} = 9.09 + 9.92 + 10.53 + 10.93 + 11.19 = 51.66$$

Thus, the intrinsic value of the company based on its free cash flows over the next five years is approximately $51.66 million.

Common Misconceptions

A common error occurs when students confuse free cash flow with net income. Free cash flow is the cash available after capital expenditures, while net income is the profit after all expenses and taxes. Understanding this distinction is vital for accurate valuation.

Multiples-Based Valuation

Multiples-based valuation is another approach that involves comparing the valuation of a company to its peers based on financial ratios. This method uses price multiples derived from comparable companies to estimate the value of a business.

Price Multiples

Common price multiples include:

Price-to-Earnings (P/E) Ratio: This ratio compares a company’s current share price to its earnings per share (EPS). The formula is:

$$\text{P/E} = \frac{\text{Price per Share}}{\text{Earnings per Share}}$$

Price-to-Book (P/B) Ratio: This compares a company's share price to its book value per share. The formula is:

$$\text{P/B} = \frac{\text{Price per Share}}{\text{Book Value per Share}}$$

Enterprise Value to EBITDA (EV/EBITDA): This ratio compares the total value of a company to its earnings before interest, taxes, depreciation, and amortization. The formula is:

$$\text{EV/EBITDA} = \frac{\text{Enterprise Value}}{\text{EBITDA}}$$

Example

Suppose we have a company with the following details:

Share price = $50
Earnings per share (EPS) = $5
Book value per share = $20
Enterprise value = $200 million
EBITDA = $40 million

Calculating the Multiples

P/E Ratio:

$$\text{P/E} = \frac{50}{5} = 10$$

P/B Ratio:

$$\text{P/B} = \frac{50}{20} = 2.5$$

EV/EBITDA:

$$\text{EV/EBITDA} = \frac{200,000,000}{40,000,000} = 5$$

These multiples can then be compared to industry averages to assess whether the stock is undervalued or overvalued.

Common Misconceptions

One misconception is that multiples-based valuation is definitive. In reality, while it can provide useful insights, it should be used alongside other valuation methods for a more comprehensive analysis. Relying solely on multiples may overlook the unique characteristics of the business.

Asset-Based Approaches

Asset-based approaches focus on the value of a company's tangible and intangible assets. This approach is typically used for companies in certain industries, such as real estate or during liquidation scenarios.

Book Value

The book value is the value of the company's assets minus its liabilities, reflecting its net worth on the balance sheet:

$$\text{Book Value} = \text{Total Assets} - \text{Total Liabilities}$$

Example

If a company has:

Total assets: $1,000,000
Total liabilities: $300,000

The book value would be:

$$\text{Book Value} = 1,000,000 - 300,000 = 700,000$$

Thus, the company's book value is $700,000.

Common Misconceptions

A key misunderstanding with asset-based valuation is assuming that book value equates to market value. Market conditions, expectations for future performance, and other factors can lead to significant discrepancies between the two.

Conclusion

In this lesson, we have explored the different equity valuation models, including present-value models such as the Dividend Discount Model and Free Cash Flow Model, as well as multiples-based and asset-based approaches. Understanding these methods equips students with the analytical tools necessary to assess the value of equities in various contexts.

Study Notes

Present-value models are grounded in the time value of money.
The DDM values stocks based on expected future dividends.
The FCF model values stocks based on the company’s free cash flows.
Multiples-based valuation compares a company's metrics to its peers.
Asset-based approaches focus on the net asset value of a company.
It is essential to choose the right valuation model based on the company's characteristics.