Transcript Discounted Cash Flow (DCF) Tutorial
Discounted Cash Flow (DCF) Analysis Tutorial
This presentation is to be used ONLY as a template for DCF Analysis presentations. In no way should it reflect a finished work.
Tutorial Objectives
• • • • Basic Underlying Principles – Time Value of Money – – Present/Future Value Opportunity Cost What is a business worth?
What is Free Cash Flow?
Basics of DCF Analysis – Composition – – Computation Forecasting
Present Value
•
Time Value of Money:
A dollar today is worth more than a dollar tomorrow.
– A dollar today can be invested to earn a rate of return or
interest.
• What is today’s dollar worth tomorrow (future value)?
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• What is tomorrow’s dollar worth today (present value)?
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Time Value: Example
• You are given $5,000 and decide to invest it in the stock market for 10 years and expect an average annual rate of return of 10%. What is that $5,000 worth 10 years from now?
FV
$ , 969 %) $ 5 , 000
What is a Business Worth?
• A business is worth the present value of the expected future cash flows of the business.
• A company's stock price is a reflection of the market's consensus expectation regarding the value of the equity in the business.
Ex. Target Corp (TGT):
$60 Share Price x 858.89 Shares Outstanding (mm) = $51,533 Market Capitalization or Market Value of Equity • Is the market
always
right?
Capital Budgeting
• The process of determining how a firm should allocate scarce resources to available long term investment opportunities • Decisions whether a company should undertake a given project • Goal: Increase (Maximize) shareholder wealth • One capital Budgeting tool is NPV ($30,000) $3,000 10%
($225.39)
$10,000 $25,000
Discount Rate
• • The
interest rate
at which you discount expected future cash flows to the present Efficient Markets Hypothesis (EMH) – Finance theory which states that all stock market prices at any given time reflect the accurate present value of the future cash flows of a business – Assumes market as a whole has rational expectations and is always right – Uses Capital Assets Pricing Model (CAPM) to establish the theoretical 'cost' of equity
Discount Rate
• EMH uses Beta as a measure of risk by quantifying the stock's volatility (up and down movements) relative to the market.
– Since the stock price reflects the PV of future cash flows, the more volatile the stock price, the more uncertain the future performance of the business.
– This 'extra risk' is reflected in a higher Cost of Equity. (Risk/Return)
Cost of Equity = Rf + B * (Mkt – Rf)
Discount Rate
• The Opportunity Cost of Money – – Also known as the
Hurdle Rate
•
The expected rate of return available on alternative investment opportunities
– Historically, the stock market has generated an average annual return of about 10%.
– Weighted Actual Cost of Capital (WACC)
Discounted Cash Flow Analysis
• Same Concept as capital budgeting: Is a $60 per share ‘initial investment’ in Target Corp. worth the projected future cash flows of this business given a discount rate of 10%?
• Instead of a CFO conducting Capital Budgeting analyses to evaluate the projected cash flows of projects for his/her company to invest in, we are a fund conducting DCF analyses to evaluate the projected cash flows of whole companies.
Free Cash Flow – Equity
•
Net Income
adjusted for all non-cash sources of revenue and expense, less
capital expenditures
– Ex. Subtract all revenue paid for on credit, and add all expenses paid for on credit – Add back
depreciation –
largest non-cash expense • The cash that is left for shareholders after debt holders have been paid and necessary reinvestment has been made
Free Cash Flow – Equity
Net Income
Add: Depreciation Less: Capital Expenditures (CAPEX) ------------------------------------
Free Cash Flow to Equity
DCF Example
Lemonade Stand Business Year 0 Year 1 Year 2 Year 3
Initial Cost (50,000) Operating Income 75,000 84,000 100,000 Taxes (34%) (25,500) (28,560) (34,000)
Income $49,500 $55,440 $66,000
Plus: Depreciation 3,750 4,200 5,000 Minus: CapEx 4,500 5,040 6,000
Free Cash Flow ($50,000) $48,750 $54,600 $65,000
Discount Rate 10% Discounted Values ($50,000) $44,318 $45,123 $48,835
Present Value $88,277
Terminal Cash Flow
•
Going Concern Assumption
– –
Zero Growth: CF / i
• • $48,835/0.10 = $488,350
5% Growth: CF*(1+g) / (i-g)
: The business will operate and generate cash flows indefinitely.
$48,835*(1.05)/(.05) = $1,025,535 •
Liquidation: Sell off remaining assets in liquidation.
–
PV of Fixed Assets: $52,590/(1+10%)^3 =$39,511
•
Forecasting Cash Flows
Historical performance is not important in terms of business value, but is important in terms of predicting future performance.
• The trickiest part of business valuation • Things to consider when predicting the future: – Every projection should be backed by a rational argument – The strongest arguments will include both quantitative and qualitative support – Mean Reversion
Forecasting Cash Flows
• Historical Simple/Weighted Averages – Primarily used when there is no discernible trend, or current trend is not expected to continue
Net Income Growth Year 1
7%
Year 2
12%
Year 3
8%
Year 4
1%
Year 5
5%
Simple Average 6.60% Weighted Average Weight
33.3% 26.7% 20.0% 13.3% 6.7% 100.0%
Growth
5% 1% 8% 12% 7% 1.7% 0.3% 1.6% 1.6% 0.5%
5.6%
Forecasting Cash Flows
• Historical Trend Exrapolation
Net Income Margin Year 1
4%
Year 2 Year 3
4%
Year 4
5%
Year 5
6%
Estimated NI Margin Year 6
6%
Year 7
7%
Year 8
8%
Year 9
8%
Year 10
8%