Economics Flashcards
CMA Challenges
- Data is reported with a lag and subject to revision
- Data is subject to biases and errors
- transcription errors
- survivorship bias
- smoothed (appraised) data estimates (risk is understated)
- Economic conditions change
- regime change leading to nonstationary issues
- Analyst bias in selective data mining or selection of time periods to examine.
Statistical Tools
Definition: Using historical data to develop statistics.
- Arith is used for single periods, geo for multiple
- Applying shrinkage (combining historically with model estimates)
- Using time series models to estimate variance
- Using multifactor models
Time Series Variance Formula
Variance2 = weight(std past2) + weight(residual error2)
Reminder to take the square root
Discounted Cash Flow Models
Advantages/Disadvantages
Advantages
- Based on future cash flows
- Ability to back out a required return
Disadvantages
- Doesn’t account for current market
Applying GGM to entire markets
Growth: nominal growth in GDP (real GDP + inflation)
Excess Corporate Growth: Adjusting for differences in GDP and equity index
GK Expected Income Return
(D1 / P0) - ▲S
▲S = % change in shares outstanding
Repurchase increases cash flows to investors and expected return
Issuance decreases both
Grinold and Kroner Model (GK)
r = (D1 / P0) - ▲S + i + g + ▲(P/E)
OR
r = exp(income return) + exp(nominal earnings) + exp(repricing)
- exp(income return) = (D1 / P0) - ▲S
- exp(nominal earnings) = i + g
- exp(repricing) = ▲(P/E)
- ▲S =% change in shares outstanding
- ▲(P/E) = % change in the P/E ratio
- ▲S =% change in shares outstanding
Financial Equilibrium Approach
Estimating the equity risk premium using;
- Corrrelation
- Std
- Share ratio
If market is fully segmented, diversification is impossible
Financial Equilibrium Steps
Equity Risk Premium
Step 1: Equity premium integrated = (cor)(std)(sharpe)
Equity premium segmented = (std)(sharpe)
*Make sure to add any illiquid premiums
- *Step 2:** Take the weighted average of integrated/segmented
- *Step 3:** Add the risk-free rate to both intregrated/segmented
Financial Equilibrium Formula
Beta and Covariance
Beta
(Cor)(stdi) / stdm
Covariance
(B1)(B2)(stdm)2
Note: std is whole numbers
Expected Current Yield
Expected Capital Gains Yield
Total Expected Return
Expected Current Yield (income) = dividend yield + repurchase yield
Expected Capital Gains Yield = real growth + inflation + repricing
Total expected return = Current Yield + Capital Gains Yield
Inventory and Business Cycles
Inventory Cycle
Last 2-4 years
Measued with inventory to sales ratio (I/S)
If I/S is going up due to I GOOD SIGN
If I/S is going up due to S BAD SIGN
Business Cycle
9-11 years
5 phases
Business Cycle Phases
Inflation Interest Rates Confidence & Stocks
Initial Recovery Falling Falling Rising
Early Upswing Falling Rising Rising
Late Upswing Rising Rising Peak
Slowdown Rising Peak Falling
Recession Peak Falling Falling then Rising
Components of GDP
GDP = C + I + G + Net exports
C = Consumer spending (stable)
I = investment (volatile)
G = Government spending
Net exports = X - M
Taylor Rule
Prescribed central bank policy rate
real policy rate + inflation + .5(expInflation - target inflation) + .5(expGDP - trendGDP)
Neutral rate = real policy rate + inflation
Inflation and Asset Class Attractiveness
Inflation(exp) Cash Bonds RE Equity
At or below Neutral Neutral Neutral +
Above exp + - + -
Deflation - + - -
Yield Curve/Economy with Government Policies
- *Monetary/Fiscal Policy Effects**
- *Yield Curve Economy**
E / E Steep Grow
E / R Steep Uncertain
R / E Flat Uncertain
R/R Inverted Contract
E = Expansion
R = Restrictive
Economic Growth Trends
Two main components:
- Changes in employment levels
- Population growth
- Rate of labor force participation
- Changes in productivity
- Spending on new capital inputs
- Total factor productivity growth
Structural Gov. Policies for L/T Growth
- Sound fiscal policy
- Sound tax policies
- minimal government interfrence with free markets
- Facilitate competition
- Develop infrastructure and human capital
Ability to Service Debt Signs
EM Warning Sign
Ability to Service Debt Lower If:
- Current account deficit > 4% of GDP
- Foreign Debt/GDP > 50%
- Foreign currency reserves/ST debt < 100%
- Government deficit/GDP ratio > 4%
EM Warning Sign:
- Growth < 4%
Cobb-Douglas
Real GDP = TFP + weight(Capital) + weight(Labor)
Slow Residual (TFP) = Real GDP - weight(Capital) - weight(Labor)
*Constant returns to scale
*subject to diminishing returns
Total Factor Productivity (TFP) Increase With……
Increases over time with;
- Improving technology
- Discovering natural resources
- Fewer trade restrictions
- Fewer restrictions on capital flows and labor mobility
DDM for Developed and Less Devoloped Economies
Developed
Stable dividends, growth, and risk
Should use GGM
Less Developed
Economic data less available and not reliable
Corporate cash/dividend growth less direct
Significant changes in annual growth
Uses H-Model (2 stage)
GGM Formula
P0 = D1 / r - g
Rearranged for required return;
r = (D1 / P0) + g
H Model Formula
D0 * [(1 + gL) + H(gS - gL)]
r - gL
Use the real discount rate;
- inflation rates flucuate so easier to compare
- More stable
- r increasing means P decreases
Justified P/E Formula
Take H Model Value / Forecasted EPS
EPS Top Down vs Bottom Up Differences
- Top down based on historical relationships
- Slow to reflect changes
- Bottom up are overly emotional
- Too optimisic in expansion
- too pessimistic in recession
Fed Model
Definition: Yield on S&P should be same as l/t treasuries
Formula: S&P EY / 10-year treasury
S&P EY = expected operating earnings / current price of S&P
Interpretation: S&P yield > treasury = equities are undervalued
Fed Model Drawbacks and Inflation
Drawbacks:
- Ingores equity risk premium
- Ingores earnings growth
Inflation (also a drawback):
- EY is real
- Treasury yield is nominal
Yardeni Model
Definition: actual EY vs theoretical (fair value) EY
Fair Value EY: E1 / P0 = YB - d(LTEG)
Actual EY: E1 / P0 OR stated
Note: Discount rate is the A-rated corporate bond yield
Example
YB= 6.49, LTEG = 11.95, d = 0.05, S&P EY = 5.5%
0.0648 - 0.05(0.1195) = 5.89. Higher than 5.5 so its overvalued
Yardeni Model Interpretation & Model Inputs
If actual EY < fair value: Actual EY is too low (stocks are too high)
If actual EY > fair value: Actual EY is too high (stocks are too low)
YB - Yield on A-rated corporate bonds
d = weighting factor (typically 0.1)
LTEG = 5 year growth forecast
Yardeni Model Equity Value
V0 = E1 / YB - d(LTEG)
If P0 > V0 —– The market is overvalued
Example
YB = 6.32, LTEG = 11.5%, d = 0.10
When would equities be overvalued?
0.0632 - 0.10(0.115) = 0.0515
1/0.0517 = 19.3, So Anything over 19.3 is overvalued
Yardeni Model Pros/Cons
Pros
Incorporates equity risk by using corporate BY
Cons
Equity risk premiums exceed corporate BY
Earnings estimate can be wrong
Assumes the discount rate is constant
10-Year Moving Avg P/E Ratio
Definition: compares current P/E to a moving average of P/E
Notes: moving average IS adjusted to account for inflation
Drawbacks:
- Accounting changes can cause issues
- Long periods of high or low P/E can persist
Tobin’s Q
Tobin’s Q:
Compares the current market value of company to replacement cost of assets
Q = MV of debt + equity
replacement cost
If Q > 1, equity is overvalued
If Q < 1, equity is undervalued
MUST be compared to an equilibrium value (otherwise you dont know)
Equity Q
Equity Q:
Compares the current market value of equity to replacement cost
Q = MV of equity
replacement cost of assets - liabilities
If Q > 1, equity is overvalued
If Q < 1, equity is undervalued
Monetary/Fiscal Policy
Montetary
Money supply. Increasing stimulates economy
Fiscal
Government spending or lowering taxes stimulates economy
Bond-yield-plus-risk-premium method
long-term government bond + the equity risk premium
Psychological Traps
- Prudence Trap: over conservative
- Recallability Trap: Easiert to remember(event in 2008)
- Ex post risk a biased measure of ex ante risk (Survey)
From Behavioral Finance:
- Achoring Trap
- Status Quo Trap
- Confirming Evidence
- Overconfidence Trap
From Questions
Output gap: difference between actual GDP and the l/t trend
Increase with inflation lowers
Permanent Income Hypthesis: spending behavior based on l/t income expectations
(s/t events will not affect spending habits)