Ch. 7 Time Value of Money and Valuations
7.8 Cash Flow-Based Valuations
Learning Objectives
After reviewing this section, you will be able to:
- Apply the principles of discounted cash flow (DCF) analysis to estimate the value of a business or investment.
- Evaluate the assumptions and limitations underlying cash flow–based valuation models.
Overview
Given the limitations of income statement–based methods, it makes sense to shift focus to what ultimately matters in valuation: cash. Whether evaluating a business, a single share of stock, or another investment asset, cash flow—not accounting earnings—is the true driver of financial value. This approach is known as Discounted Cash Flow (DCF) analysis.
1. Core Concept and Basic Formula
DCF relies on two key estimates:
- Future cash flows or dividends and
- A discount rate (the rate of return required by investors).
The general formula for valuing an asset is:
V = D divided by k
Where:
- V= value of the asset
- D = expected constant cash flow or dividend
- k = required rate of return (discount rate)
This formula provides a simple yet powerful way to estimate value when cash flow is stable and long-term.
2. Introducing Growth
In practice, many businesses grow over time, and valuation models must account for this. There are three common assumptions regarding growth:
- No growth: Payments remain constant.
- Constant growth: Payments grow at a steady rate (g).
- Non-constant growth: Payments grow at varying rates, typically high at first and then settling into a stable, lower rate.
With no anticipated growth, the value of the asset will be the expected constant cash flow (D) divided by the required rate of return (k).
When constant growth is assumed, the DCF formula related to the valuation of the asset becomes:
V=D1 divided by k−g (i.e., V=D1 / (k-g)
Where:
- D1= D0 (1+g) is next year’s expected cash flow,
- g = growth rate,
- k = required rate of return (discount rate), and,
- k must be greater than g for the formula to work.
3. Estimating Growth and Discount Rates
Growth expectations depend on a business’s ability to reinvest earnings effectively. If the firm retains part of its earnings instead of paying them as dividends, those retained earnings can drive growth. This concept leads to two important ratios:
- Payout ratio = Dividends / Net Income
- Reinvestment (Plowback) ratio = Retained Earnings / Net Income
Expected growth can be estimated using:
Growth Rate= Reinvestment (Plowback) Ratio × Return on Equity (ROE)
This formula assumes that Retained Earnings generate returns at the same rate as the firm’s current ROE, a reasonable proxy for future growth.
Limitations of Cash Flow-Based Valuation
Despite its widespread use, cash flow–based valuation has its own limitations:
- Forecasting future cash flows is inherently uncertain, especially for companies with irregular or unpredictable earnings.
- The discount rate is subjective and can vary significantly depending on assumptions about risk.
- Growth estimates may not materialize as expected, especially if a business fails to reinvest successfully.
Still, DCF remains among the most robust tools for valuing businesses and securities because it is grounded in actual economic benefits, specifically cash in the hands of investors.
Summary
Discounted Cash Flow (DCF) analysis offers a more fundamental approach to valuation by focusing on future cash flows rather than accounting earnings. It estimates the present value of an investment based on projected cash flows and a required rate of return, making it especially relevant when income statement–based methods fall short. DCF models can incorporate various growth scenarios—no growth, constant growth, or non-constant growth—to reflect business realities more accurately.
Growth projections often rely on a company’s reinvestment practices and return on equity, using ratios like the payout and plowback rates. While DCF provides a powerful framework rooted in economic value, its reliability depends on the accuracy of inputs such as cash flow forecasts, discount rates, and growth assumptions. Despite these challenges, DCF remains a cornerstone of modern valuation due to its focus on actual investor returns.
Homework 7.8
Scenario:
Brightline Media Group (BMG), a privately held company specializing in digital licensing and film distribution, is undergoing a valuation as part of a shareholder dispute under state corporate law. The minority shareholder claims that the company’s fair value is higher than the majority shareholder’s offer. Attorneys representing both sides agree to use the Discounted Cash Flow (DCF) approach to estimate value.
The company currently distributes annual free cash flows of $2.5 million, which are expected to grow at a constant rate of 4% per year due to new streaming contracts. Based on the company’s risk profile, analysts determine that investors in comparable firms require a 10% rate of return.
Using the constant-growth DCF formula, the estimated value of the company is $43.33 million. The calculation is as follows:
Requirements
Explain why courts in shareholder disputes or merger-related appraisals might prefer DCF valuation over an income-statement-based approach.
- What advantages does DCF offer in establishing “fair value”?
- What are the main limitations attorneys and valuation experts must disclose to the court when relying on DCF?