ACCT5910 –Business Analysis and Valuation Class 8: Valuation: Implementation
Financial Statement Analysis Class 8: Valuation Implementation
Valuation: Implementation
■Implementation of valuation models usually involves:
■Estimate discount rate
■Forecast earnings and cash flows
■Detailed performance for finite horizon ■Terminal value
■Valuation depends on forecasts
■“Garbage in, garbage out”
A. Estimate Discount Rate
■Discount rate = required rate of return
■Equity (capital) providers require a certain level of return as a compensation for taking risk.
■The higher the risk, the higher the discount rates.■To measure the cost of total capital in the company, we use Weighted Average Cost of Capital (WACC)
WACC = w d *r d *(1-T) + (1-w d )*r e
where: w d = weight of debt T = tax rate
r d = cost of debt r e = cost of equity
A1. Cost of Debt
■Cost of debt is determined by
■Nominal interest rate
■≈ real rate + expected inflation
■Default risk
■Probability that the debt will not be repaid
■Liquidity risk
■Probability that the bond will not be easily sold
■Credit rating indicates cost of debt
■How to find a company’s cost of debt?
■Yield to maturity for the publicly traded bond
■Interest rate charged by the bank for the latest bank loan
A1. Cost of Debt 1
■Credit rating
■Cost of debt from a comparable firm
A2. Cost of Equity
■Finance theory provides some models to estimate cost of equity, but none of them are perfect.
■Lack of understanding of risks
■Lack of understanding of price discovery
■Practitioners usually use some simple models
A2. Cost of Equity 1
■Capital Asset Pricing Model (CAPM)
r e = r f + β[E(r m ) –r f ]
■r f = risk free rate (nominal interest rate)■E(r m ) = expected market return
■β= Cov(r m , r e )/Var(r m ), a measure of systematic risk
■Expected return for a stock is determined by its systematic risk (β)and expected risk premium [E(r m ) –r f ].
■To use CAPM, we need to
■Estimate r f
■Using short-term treasure bill rate (risk free)
■Using intermediate (1 –3 years) treasure note rate to reflect expected inflation
A2. Cost of Equity 2
■Estimate r m
■Using survey date
■Using historical average
■Estimate β
■Using 60-month stock and market return data
■Constructing portfolios because portfolio beta is more stable ■Using estimates from data vendors.
■Academic research shows that CAPM does not work well, but practitioners love it ■Multi-factor model
=r +)–]+r i +r b +r A2. Cost of Equity 3
r e r f + β[E(r m ) r f ] + r size + r bm + r
mom ■To incorporate recent market anomalies
■Small firms yield higher returns than large firms ■Low market-to-book firms yield higher returns ■Past winners continue to yield higher returns
B. Performance Forecast
■Detailed forecast for a finite number of years
■Make sound assumptions based on strategy and accounting analysis
■Construct detailed pro forma financial statement An example by Wal Mart
■An example by Wal-Mart ■Estimate terminal value with valid assumptions
■Terminal value is less important in discounted abnormal earnings model
B1. Terminal Value
■Choose a terminal year
■How long can the firm sustain its competitive advantage?
■When will the firm’s return on new project reach the normal level?normal level?
■5 –10 years from historical evidence
B1. Terminal Value 1
■To choose sound long-term growth rate after terminal year
■Assume a “competitive equilibrium”
■Competition will drive NPV of new projects down to zero ■Firm value will not be affected since incremental NPV = 0
It implies that the future abnormal earnings will be zero or TV=0
■It implies that the future abnormal earnings will be zero or TV=0■Assume zero abnormal earnings for incremental sales
■Terminal year operation will persist
■The level of abnormal earnings will persist
■Assume a constant growth rate for sales
■Inflation rate or nominal GDP growth rate
■Use price multiples
■Use only “normal” multiples
Sensitivity Analysis
■Make different assumptions and re-do the
valuation
■Change key inputs by 5% or 10%
■How sensitive is the valuation to the assumptions
■Construct scenarios with different combination of assumptions
■Normal case, worst case and best case B2. Other Issues
■Accounting distortion
■Re-construct financial statements
■Correct it in Forecasting (core) earnings
■Negative earnings or book value
■Assume the firm will become profitable in near future; otherwise, it t b i
it may not be a going concern.
■Start with asset value
■Use real option valuation
■Excessive cash or free cash flow
■Cash earns low return
■Potential agency problem
■Potential target for take-over
Next Step
■What if your valuation is different from market price?
■Market price is correct –Efficient Market Hypothesis
■Market price is wrong –possible profit opportunity
■Price is supposed to move together with fundamentals in the long-run.
the long run.
■But for how long will price come back to intrinsic value?
■In the short-run, price is also affected by market sentiment.
■Is sentiment predicable?