Section 1

Health Economics Comprehensive Examination - Cheatsheet

STUDY GUIDE

🎓 Health Economics Comprehensive Examination - Study Guide

📋 Course Structure


code
📚 Health Economics
├── 📖 Chapter 1: The Production Function of Health
│   ├── 🔹 Historical Determinants of Mortality
│   ├── 🔹 Mathematical Production Function
│   └── 🔹 Non-Medical Inputs (Education & Environment)
├── 📖 Chapter 2: The Grossman Model of Health Demand
│   ├── 🔹 Health as Capital & Three Roles of Health
│   ├── 🔹 Time Constraints & Labor-Leisure Tradeoffs
│   └── 🔹 Production Possibility Frontier (PPF)
├── 📖 Chapter 3: Equilibrium and Life-Cycle Dynamics
│   ├── 🔹 Cost of Capital & MEI Curve
│   ├── 🔹 Aging & Endogenous Death
│   └── 🔹 Wage and Education Effects
├── 📖 Chapter 4: Economic Efficiency and Evaluation
│   ├── 🔹 Market Failure & Efficiency
│   ├── 🔹 Cost-Benefit Analysis (CBA) & Discounting
│   └── 🔹 Cost-Effectiveness Analysis (CEA)
└── 📖 Chapter 5: Valuing Health and Life
    ├── 🔹 Human Capital vs. Willingness to Pay (WTP)
    ├── 🔹 Quality-Adjusted Life Years (QALYs)
    └── 🔹 Ethical Critiques & DALYs

Section 2

📖 Chapter 1: The Production Function of Health

What this chapter covers: This chapter analyzes how health status is generated through various inputs, moving beyond simple medical intervention. It contrasts the "McKeown Thesis" (nutrition/public health focus) with modern medical science. Mathematically, it introduces the health production function $HS = f(X)$ , emphasizing the law of diminishing marginal returns. Students must distinguish between the total contribution of medicine and its often small marginal contribution in developed nations.

🔑 Essential Concepts & Formulas

Concept/Formula	Definition/Equation	When to Use	Quick Check
Health Production	$HS = f(HC, L, E, B)$	Modeling health status	$HC$ = Health Care, $L$ = Lifestyle
Marginal Product	$MP_{HC} = \frac{\Delta HS}{\Delta HC}$	Evaluating next € spent	Is $MP_{HC} > 0$ but decreasing?
McKeown Thesis	Mortality fell via nutrition	Historical analysis	Medical tech came after decline
Waaler Curve	Relationship: Height/BMI/Life	Nutritional studies	Taller (to a point) = Longer life

🛠️ Problem Types

Type A: Marginal vs. Total Product Analysis

Setup: "When you encounter scenarios where health spending increases but outcomes stagnate (Flat of the Curve)."

Method: Calculate $MP = \frac{HS_2 - HS_1}{Input_2 - Input_1}$ . If $MP$ is near zero, you are at the 'flat' of the production function.

Example: A country increases healthcare spending from €4,000 to €5,000 per capita, but life expectancy only rises from 80.1 to 80.2 years. The $MP$ is $0.1 / 1000 = 0.0001$ years per Euro.

Type B: Evaluating Non-Medical Inputs

Setup: "If presented with data on education or environmental shocks (e.g., Flint water crisis)."

Method: Apply the "Efficiency" argument for education (Lleras-Muney) or the "Fetal Origins Hypothesis" for environmental impacts.

Example: Using compulsory schooling laws as an instrument to prove that an extra year of education causally reduces mortality rates.

🧮 Solved Example

Problem: Calculate the marginal product of healthcare between Level 2 and Level 3. Given:

Level 1: €1000 input $\to$ 70 units of health
Level 2: €2000 input $\to$ 85 units of health
Level 3: €3000 input $\to$ 92 units of health

Steps:

Identify $\Delta HS$ between Level 2 and 3: $92 - 85 = 7$ .
Identify $\Delta Input$ : $3000 - 2000 = 1000$ .
Calculate $MP$ : $\frac{7}{1000} = 0.007$ .
Compare to previous $MP$ ( $15/1000 = 0.015$ ).

"

✅
Answer: The marginal product is $0.007$ , showing diminishing returns compared to the previous interval.

⚠️ Common Mistakes

❌ Mistake 1: Confusing Total Product with Marginal Product. ✅ How to avoid: Remember that while medicine saves lives (high total), the next dollar spent on a healthy person has low impact (low marginal).

❌ Mistake 2: Ignoring Iatrogenesis. ✅ How to avoid: In the production function, if iatrogenic (doctor-caused) harm exceeds benefits, the curve can actually slope downward ( $MP < 0$ ).

🦁 Erik's Tip

Think of the "Flat of the Curve" like studying for an exam: the first 5 hours (Total Product) get you a passing grade, but the 20th hour (Marginal Product) might only raise your score by 1%.

📖 Chapter 2: The Grossman Model of Health Demand

What this chapter covers: This chapter shifts from "production" to "demand," treating health as a durable capital stock. Unlike bread or haircuts, health lasts across periods and requires investment of time and money. The model explores the triple role of health: it makes you feel good (consumption), it allows you to work (investment), and it is an input for productive time. The central conflict is the allocation of a finite 24-hour time budget.

🔑 Essential Concepts & Formulas

Concept/Formula	Definition/Equation	When to Use	Quick Check
Time Budget	$T = T_W + T_Z + T_H + T_S$	Allocating daily hours	Sum must equal 24 hours
Productive Time	$T_P = T - T_S$	Calculating work/play max	$T_S$ = Sick time
Utility Function	$U = U(H_t, Z_t)$	Preference modeling	$Z$ = Home goods (leisure)
Health Investment	$I_t = f(M_t, T_{Ht})$	Producing new health	$M$ = Medical care

🛠️ Problem Types

Type A: Time Budget Tradeoffs

Setup: "When you encounter a change in sick time ( $T_S$ ) or investment time ( $T_H$ )."

Method: Use $T_P = T_W + T_Z + T_H$ . If $T_S$ decreases by 2 hours, $T_P$ increases by 2, allowing more work or leisure.

Example: A new medication reduces $T_S$ from 4 hours to 1 hour. The individual now has 3 extra "productive hours" to distribute between $T_W$ and $T_Z$ .

Type B: PPF Boundary Analysis

Setup: "If asked to identify the 'Free-Lunch Zone' vs. the 'Tradeoff Zone' on a Health-Home Good graph."

Method: Locate the peak of the PPF. To the left of the peak (low health), increasing $H$ also increases $Z$ (Free-Lunch). To the right, increasing $H$ requires sacrificing $Z$ (Tradeoff).

🧮 Solved Example

Problem: Given a 24-hour budget, if an individual spends 8 hours sleeping/sick ( $T_S$ ), 1 hour exercising ( $T_H$ ), and 8 hours working ( $T_W$ ), how much time is left for leisure ( $T_Z$ )? Steps:

Formula: $24 = T_W + T_Z + T_H + T_S$ .
Substitute: $24 = 8 + T_Z + 1 + 8$ .
Solve: $24 = 17 + T_Z \to T_Z = 7$ .

"

✅
Answer: 7 hours are available for leisure.

⚠️ Common Mistakes

❌ Mistake 1: Putting Medical Care ( $M$ ) directly into the Utility Function. ✅ How to avoid: In Grossman's model, people hate $M$ (surgeries/pills); they value the Health ( $H$ ) that $M$ produces.

❌ Mistake 2: Assuming $H$ and $Z$ are always substitutes. ✅ How to avoid: Remember the "Free-Lunch Zone" where $H$ and $Z$ can increase together because health increases total productive time.

🦁 Erik's Tip

The Grossman Model is just a "Time Management" simulator. Every hour you spend at the gym ( $T_H$ ) is an hour you can't work ( $T_W$ ), but it "buys" you more total hours in the future by reducing sick time ( $T_S$ ).

📖 Chapter 3: Equilibrium and Life-Cycle Dynamics

What this chapter covers: This chapter determines the "optimal" level of health ( $H^*$ ) using the Marginal Efficiency of Investment (MEI) curve. It treats health like any other capital (like a machine) that has an opportunity cost (interest rate $r$ ) and a depreciation rate ( $\gamma$ ). It explains why we "choose" to let our health decline as we age and how external factors like wages and education shift our demand for health.

🔑 Essential Concepts & Formulas

Concept/Formula	Definition/Equation	When to Use	Quick Check
Cost of Capital	$Cost = r + \gamma$	Finding equilibrium $H^*$	$r$ = interest, $\gamma$ = depreciation
Equilibrium	$MEI = r + \gamma$	Solving for optimal stock	Where curve hits cost line
Wage Effect	$W \uparrow \implies MEI \to \text{Right}$	Income changes	Higher wage = higher $H^*$
Education Effect	$E \uparrow \implies MEI \to \text{Up}$	Efficiency changes	Better education = higher $H^*$

🛠️ Problem Types

Type A: Calculating Optimal Health Stock Shifts

Setup: "When depreciation ( $\gamma$ ) increases due to aging."

Method: Shift the horizontal cost line $(r + \gamma)$ upward. The intersection with the downward-sloping MEI curve will move to the left, indicating a lower $H^*$ .

Example: At age 20, $\gamma = 0.02$ . At age 70, $\gamma = 0.10$ . Even if $r$ is constant, the cost of capital quintuples, making it rational to hold less health.

Type B: Gross Investment vs. Net Stock

Setup: "Explaining why older people spend more on doctors while getting sicker."

Method: Net Change = Gross Investment - Depreciation. If Depreciation is massive, even a large Gross Investment ( $M$ ) cannot prevent the Net Stock ( $H$ ) from falling.

🧮 Solved Example

Problem: An individual faces an interest rate $r = 0.05$ and a depreciation rate $\gamma = 0.03$ . If their MEI function is $MEI = 0.20 - 0.01H$ , find the optimal health stock $H^*$ . Steps:

Calculate total cost of capital: $r + \gamma = 0.05 + 0.03 = 0.08$ .
Set $MEI = Cost$ : $0.20 - 0.01H = 0.08$ .
Solve for $H$ : $0.12 = 0.01H \to H^* = 12$ .

"

✅
Answer: The optimal health stock is 12 units.

⚠️ Common Mistakes

❌ Mistake 1: Thinking $H^*$ is the maximum possible health. ✅ How to avoid: $H^*$ is the economically rational health. We don't spend every second at the gym because the marginal cost would exceed the marginal benefit.

❌ Mistake 2: Forgetting that $r$ is the opportunity cost. ✅ How to avoid: Even if healthcare is "free," the time spent ( $r$ ) could have been used to earn money or enjoy leisure.

🦁 Erik's Tip

Aging is like owning an old car. Eventually, the cost of repairs ( $\gamma$ ) is so high that it's cheaper to let the car break down than to keep fixing it. That is "Endogenous Death" in the Grossman model.

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Health Economics Comprehensive Examination - Cheatsheet

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Health Economics Comprehensive Examination - Cheatsheet

🎓 Health Economics Comprehensive Examination - Study Guide

📋 Course Structure

📖 Chapter 1: The Production Function of Health

🔑 Essential Concepts & Formulas

🛠️ Problem Types

🧮 Solved Example

⚠️ Common Mistakes

🦁 Erik's Tip

📖 Chapter 2: The Grossman Model of Health Demand

🔑 Essential Concepts & Formulas

🛠️ Problem Types

🧮 Solved Example

⚠️ Common Mistakes

🦁 Erik's Tip

📖 Chapter 3: Equilibrium and Life-Cycle Dynamics

🔑 Essential Concepts & Formulas

🛠️ Problem Types

🧮 Solved Example

⚠️ Common Mistakes

🦁 Erik's Tip

4 more sections