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CFA 2018 level 3 schweser practice exam CFA 2018 level 3 question bank CFA 2018 r15 equity market valuation summary

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Market analysis: Examine valuations in different equity markets to identify those with superior expected returns.. • Examine the trends in relative value measures for each equity market

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Level III

Equity Market Valuation

Summary

Graphs, charts, tables, examples, and figures are copyright 2016, CFA Institute

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Cobb-Douglas Production Function

ΔY

Y ≈

ΔA

A + ∝

ΔK

K + (1 − ∝)

ΔL L

Assuming that the production function exhibits constant returns to scale:

Estimated percentage change in real GDP

= % growth in total factor productivity

+ (output elasticity of capital) x (% growth in capital stock)

+ (output elasticity of labor) x (% growth in labor input)

Y = Real GDP

A = Total factor productivity

K = Capital stock

L = Labor

α = Output elasticity of capital

(1 – α) = Output elasticity of labor

Increase in growth rate of total factor productivity  increase the long-run real GDP growth projection

Increase in rate of savings and investment will cause an increase the growth rate of the capital stock (∆K/K)  increase the long-run real GDP growth projection

Increase in growth rate of labor input  increase the long-run real GDP growth projection

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Intrinsic Value of an Equity Market

V0 = D0(1 + g)

D0

r − gL 1 + gL +

N

2 (gs − gL

Criticisms of using dividend discount models for estimating the intrinsic value of an

equity market:

 Quality of inputs Economic data may be unreliable

 In economies experiencing structural changes, there may be extended periods

during which corporate earnings and dividends do not grow at the same rate as

overall GDP

 Extreme events such as hyperinflation and currency instability can occur

D0 = current dividend

r = discount rate

gL = long-term growth rate

gS = short-term growth rate

N = number of years over which growth rate declines linearly from gS to gL

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Market analysis: Examine valuations in different equity markets to identify those with superior expected returns

• Compare relative value measures for each equity market to their historical values

• Examine the trends in relative value measures for each equity market to identify market momentum

• Compare the expected returns for those equity markets expected to provide superior performance to the

expected returns for other asset classes, such as bonds, real estate, and commodities

Industry analysis: Evaluate domestic and global economic cycles to determine those industries expected to be top

performers in the best-performing equity markets

• Compare relative growth rates and expected profit margins across industries

• Identify those industries that will be favorably impacted by expected trends in interest rates, exchange rates, and inflation

Company analysis: Identify the best stocks in those industries that are expected to be top-performers in the

best-performing equity markets

T

o

p

-

D

o

w

n

Company analysis: Identify a rationale for why certain stocks should be expected to outperform, without regard to

the prevailing macroeconomic conditions

• Identify reasons why a company’s products, technology, or services should be expected to be successful

• Evaluate the company’s management, history, business model, and growth prospects

• Use discounted cash flow models to determine expected returns for individual securities

Industry analysis: Aggregate expected returns for stocks within an industry to identify the industries that are

expected to be the best performers

B

o

t

T

o

m

-

U

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Model Formula and Predictions Strengths Limitations

Fed

model

E1

P0 = treasury bond yield

Equity market is undervalued if earnings yield exceeds the yield

on government securities

Easy to understand and apply

Consistent with discounted cash flow models that show an inverse relationship between value and the discount rate

Ignores the equity risk premium

Compares a real variable to a nominal variable

Ignores earnings growth

Yardeni

model

E1

P0 = yB − d × LTEG

Equity market is undervalued if earnings yield exceeds the fair value estimate of the earnings yield provided by the model

Improves on the Fed model by including:

1) the yield on risky debt and 2) a measure of expected earnings growth as determinants of value

Risk premium captured by the model is largely a default risk premium that does not accurately measure equity risk

The forecast for earnings growth may not

be accurate or sustainable

The estimate of fair value assumes the discount factor investors apply to the

Relative Value: Fed and Yardeni Models

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Model Formula and Predictions Strengths Limitations

CAPE

Real S&P 500 price index divided by the moving average of the preceding

10 years of real reported earnings

Future equity returns will be higher when cyclically adjusted P/E ratio (CAPE) is low

Controls for inflation and business cycle effects by using a 10-year moving average of real earnings

Historical data supports an inverse relationship between CAPE and future equity returns

Changes in the accounting methods used to determine reported earnings may lead to comparison problems

Current period or other measures of earnings may provide a better estimate for equity prices than the 10-year moving

average of real earnings

Evidence suggests that both low and high levels of CAPE can persist for extended periods of time

Relative Value: CAPE

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Model Formula and Predictions Strengths Limitations

Tobin’s q

and

Equity q

Tobin’s q = Debt+Equity

AssetsR

Equity q = Equity

AssetsR−Debt

Future equity returns will

be higher when Tobin’s q and equity q are low

Both measures rely on a comparison of security values to asset replacement costs (minus the debt market value, in the case of

equity q); economic theory

suggests this relationship is mean-reverting

Historical data supports an inverse relationship between both

measures and future equity returns

It is difficult to obtain an accurate measure

of replacement cost for many assets because liquid markets for these assets do not exist and intangible assets are often difficult to value

Evidence suggests that both low and high

levels of Tobin’s q and equity q can persist

for extended periods of time

Tobin’s Q

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