Valuation Flashcards
Dividend Discount Model (general)
Price=D(1)/(r-g)
Types of Risk
-Idiosyncratic, firm-specific, can be smoothed out with diversification
-Systematic Risk (beta)- unavoidable market conditions (inelastic goods have low systematic risk while luxury goods have higher)
The Capital Asset Pricing Model
E(ri)=rf+[E(rm)-rf]*beta(i)
where:
E(ri) =capital asset expected return
rf=risk-free interest rate
beta(i)=sensitivity
E(rm)=expected market return
Levered Cost of Capital
Re=Ru+(D/E)(Ru-Rd)
where:
Re=levered equity cost of capital
Ru=unlevered cost of capital
D=total debt
E=total equity
Rd=Interest rate(yield)
Nominal vs. Real Rates
R(nominal) = (1+r(real))*(1+r(inflation))-1
Effective Annual Rate (EAR)
EAR=(1+(APR/k)^(k)-1
where:
APR is annual percent rate(simple)
k=number of compounding periods
When does an inverted yield curve occur and what does it mean?
What affects the short term? Long term?
-Short-term bond rates are higher than long-term, meaning a recession is near
-Short-term is affected by feds
-Long-term is affected by demographic factors, corporate performance
Coupon Payment
PMT(coupon)=(r(coupon)*(face value))/(number of coupon payments per year)
Zero Coupon Bonds and Price
Price=PV(CF)
bc no coupons, price=FV discounted back
YTM/Price/FutureValue equations
-YTM=(FV/P(at time 0))^(1/t)-1
-P(at time 0)=FV/(1+YTM)^(t)
where:
YTM=yield to maturity=bond discount rate
FV=future value
Coupon Bonds (meaning and equation)
-receives coupons every set period and then the principle at maturity(coupon received even in the last period)
-P(at time 0)=PV(cash flows)+PV(face value)
-P(at time 0)=(coupon/YTM)(1-(1/(1+YTM)^(t)))+FV/(1+YTM)^(t)
where:
(coupon/YTM)(1-(1/(1+YTM)^(t))) is the PV of the coupons
and FV/(1+YTM)^(t) is the PV of the principle
What happens to price and yield when the following increase: risk, inflation, demand, rates?
Risk-Price down and Yield Up
Inflation-Price down and Yield Up
Demand-Price up and yield down
Rates-Price down and yields up
Dividend Discount Model for 1 Year Investor
P(at time=0)=(P(at time=1)+Div(for period 1)/(1+Re)
where:
Re=equity cost of capital
Dividend Discount Model for 2 Year Investor
P(at time=0)=Div(for period 1)/(1+Re)+(Div(for period 2)+P(at time=2)/(1+Re)^(2)
where:
Re=equity cost of capital
Dividend Discount Model for Infinite Year Investor
P(at time=0)= {Summation from t=1 to infinity} Div(t)/(1+Re)^(t)
where:
Re=equity cost of capital