📖 宏观分析综合练习

Equity Investments

I. Lesson Focus

II. The Problem

An investor plans to allocate to A-share and Hong Kong equity portfolios in 2025 and needs to evaluate how the current macro environment affects sector valuations. If the central bank continues rate cuts, fiscal expansion occurs, and PMI rebounds, which sectors are likely to experience significant P/E expansion? In a stagflation scenario (high inflation + low growth), which defensive sectors would outperform cyclical stocks? This lesson uses realistic macro scenarios, formula derivations, and integrated cases to convert the macroeconomic analysis framework into concrete equity investment decisions, addressing the common pitfall of understanding theory but failing to apply it.

III. Macroeconomic Analysis Framework Review

The core of macro analysis is a “top-down” approach: first determine the position in the economic cycle, then analyze the monetary-fiscal policy mix, and finally map the effects to sector and individual stock valuations.

The four stages of the economic cycle have distinct characteristics: - Recovery: GDP growth turns from negative to positive, PMI rebounds, inflation is moderate, and central banks typically cut rates. - Expansion: GDP growth exceeds trend, capacity utilization is high, corporate earnings accelerate, inflation rises moderately, and central banks may hike rates. - Peak: Growth slows, inflation pressures become significant, central banks raise rates, and bond yields rise. - Contraction: Negative GDP growth, rising unemployment, and central banks shift to easing.

Monetary Policy Transmission Mechanism
Accommodative monetary policy (rate cuts, reserve requirement cuts, QE) lowers the risk-free rate ($r_f$) → reduces the required return on equity ($r_e$) → increases equity intrinsic value ($P = D_1 / (r_e - g)$) → leads to valuation expansion.
Tightening policy has the opposite effect and causes valuation contraction.

Fiscal Policy Impact
Expansionary fiscal policy (tax cuts, infrastructure spending) directly increases aggregate demand and boosts revenues and earnings for cyclical sectors (industry, real estate, building materials). Contractionary fiscal policy has the opposite impact.

IV. Core Relationships Between Macro Indicators and Equity Valuations

1. Real GDP Growth and Earnings Growth: Historical data show that a 1% increase in real GDP growth is associated with an average 4–6% increase in S&P 500 EPS growth.
2. Inflation and P/E Relationship: Moderate inflation (2%–3%) corresponds to the highest P/E ratios; high inflation (>5%) compresses P/E significantly due to increased uncertainty.
3. Interest Rates and Valuation: The 10-year government bond yield (YTM) is significantly negatively correlated with equity P/E. An approximate relationship is:
   $$ \text{Justified P/E} \approx \frac{1}{r_e - g} $$
   where $r_e$ is influenced by the risk-free rate.
4. Yield Curve: A normal steep yield curve benefits banks and financials; an inverted curve signals recession and favors defensive sectors (utilities, consumer staples).

V. Industry Cyclicality Classification

VI. Adjusting Valuation Models Under Macro Scenarios

In the Gordon growth model:
$$ P_0 = \frac{D_1}{r_e - g} $$
- Rate cuts reduce $r_e$ → P/E rises
- Fiscal expansion increases $g$ (perpetual growth rate) → P/E rises
- Rising inflation increases both $r_e$ and $g$, but $r_e$ usually rises faster, causing P/E to fall

PEG Adjustment: In high-growth environments, use PEG = (P/E) ÷ expected EPS growth rate (%) to assess valuation reasonableness.

Worked Cases

Case 1: Valuation Expansion in Cyclicals Under Accommodative Policy

Assume the current 10-year government bond yield is 4.2%, expected EPS growth is 8%, and equity risk premium is 5.5%. Thus, $r_e = 4.2\% + 5.5\% = 9.7\%$.
A real estate company has a current dividend yield of 2.5% and perpetual growth rate of 3.5%.
Current justified P/E using the payout form: payout ratio = 40% (retention ratio b = 0.6),
$$ P/E = \frac{1-b}{r_e - g} = \frac{0.4}{0.097 - 0.035} \approx 6.45\times. $$

The central bank cuts rates by 100 bp; the 10-year yield falls to 3.2% and $r_e$ becomes 8.7%. New P/E = 0.4 / (0.087 – 0.035) ≈ 7.69×, a 19.2% expansion. If fiscal stimulus simultaneously lifts g to 4.0%, new P/E ≈ 9.09×, for a cumulative 41% expansion. Conclusion: accommodative policy drives significant P/E expansion in high-cyclical stocks.

Case 2: Relative Value of Defensive Stocks in Stagflation

A 2022-style stagflation scenario: inflation at 6%, real GDP growth 0.5%.
A consumer staples company has a historical average P/E of 18×. Due to high inflation, the risk premium rises from 5% to 7%, so $r_e = 3.5\%$ (bond yield) + 7% = 10.5%, and g = 4%.
Theoretical P/E = 0.55 / (0.105 – 0.04) ≈ 8.46× (assuming 55% payout). However, its defensive nature keeps the traded P/E around 16×.

Meanwhile, cyclical stocks (e.g., steel) compress from 12× to 7×.
Relative valuation advantage = 16 / 7 ≈ 2.29×. Defensive stocks significantly outperform in stagflation.

Case 3: Impact of an Inverted Yield Curve on Bank Stocks

Under a normal steep curve, bank net interest margins (NIM) widen.
Assume current NIM is 2.8%, ROE is 14%, and PB = ROE / $r_e$ = 14% / 11% ≈ 1.27×.
When the yield curve inverts, the market expects future rate cuts and NIM is forecast to compress to 1.9%, lowering ROE to 9.5%.
New PB = 9.5% / 10% ≈ 0.95×, implying 20%–25% downside risk to bank stock prices.
Investors should reduce bank exposure upon an inversion signal and rotate into utilities (more stable PB).

Traps

Key Formulas

• $r_e = r_f + \beta \times ERP$ (CAPM)
• $P_0 = \frac{D_1}{r_e - g}$ (Gordon growth model)
• $P/E = \frac{1-b}{r_e - g}$ (where b = retention ratio)
• PEG = (P/E) / expected EPS growth rate (%)
• Real growth ≈ nominal growth – inflation rate
• Accommodative monetary policy → $r_f↓$ → $r_e↓$ → P/E↑
• Fiscal expansion → aggregate demand↑ → cyclical sector g↑ → valuation expansion

Practice Questions

Q1. In the early stage of economic recovery, the most likely monetary policy is:
A. Rate hikes
B. Rate cuts and reserve requirement cuts
C. Quantitative tightening
D. Raising the reserve requirement ratio

Q2. If the 10-year government bond yield falls from 3.8% to 2.9%, holding other factors constant, the justified equity P/E will most likely:
A. Decrease
B. Remain unchanged
C. Increase
D. First rise then fall

Q3. In a stagflation environment, the optimal sector allocation is:
A. Steel and cement
B. Banks and insurance
C. Food & beverage and utilities
D. Semiconductors and new energy

Q4. A company has a 40% payout ratio, required return of 9%, and perpetual growth of 3%. Its justified P/E is closest to:
A. 6.67
B. 8.33
C. 10.00
D. 12.50

Q5. When the yield curve is inverted, which statement is correct?
A. Bank net interest margins usually widen
B. The market expects strong future economic growth
C. The relative attractiveness of defensive stocks increases
D. Cyclical stock valuations tend to expand

Q6. Expansionary fiscal policy most directly benefits:
A. Consumer staples
B. Infrastructure, real estate, and raw materials
C. Healthcare
D. Technology growth stocks

Q7. Historically, if real GDP growth rises by 1%, S&P 500 EPS growth tends to rise by approximately:
A. 2%
B. 1%
C. 4%–6%
D. More than 10%

Q8. In a high-inflation environment (>5%), P/E ratios typically:
A. Expand significantly
B. Remain stable
C. Contract significantly
D. Show no significant relationship with inflation

Answers

Takeaways

• The core macro-analysis pathway is: economic cycle → policy mix (monetary + fiscal) → impact on sector earnings and valuations
• Accommodative monetary policy drives valuation expansion primarily by lowering $r_e$; fiscal expansion works mainly by raising g
• In stagflation, defensive sectors (food & beverage, utilities, healthcare) outperform while cyclical valuations are compressed
• An inverted yield curve is a key risk signal for banks and cyclical stocks
• The P/E formula $P/E = (1-b)/(r_e-g)$ is the most important bridge linking macro variables to valuation
• Always distinguish between policy announcement and actual transmission lags to avoid premature or late positioning