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Development Economics 101

Problem Sets & Applied Exercises
Practical Applications of Economic Theory to Indian Development Challenges

Instructions for Students/Practitioners

Problem Set 1: Growth vs. Development Measurement

Beginner

Problem 1.1: GDP vs. HDI Analysis

You are tasked with evaluating development progress in three Indian states. Use the data below to analyze different measures of development.

State Per Capita Income (₹ lakhs) Life Expectancy (years) Mean Years of Schooling Literacy Rate (%)
Haryana 2.85 68.6 7.1 76.6
Kerala 1.84 75.0 10.6 93.9
Odisha 0.87 69.3 5.9 73.5
Your Analysis:

a) Rank these states by per capita income:

b) Rank these states by human development indicators:

c) Calculate the rough HDI rank order (you can use simplified HDI formula):

Simplified HDI Formula

HDI = (Life Expectancy Index + Education Index + Income Index) / 3

Where each index = (Actual Value - Minimum) / (Maximum - Minimum)

Reflection Questions
  1. Which state would you consider most "developed" and why?
  2. What does this tell us about the relationship between income and development?
  3. What additional indicators would help you make a more informed assessment?

Problem 1.2: Growth Rate Calculations

India's GDP grew from ₹135 lakh crores in 2015-16 to ₹200 lakh crores in 2020-21.

Calculate:

a) Total growth over the period: ____%

b) Average annual growth rate (compound): ____%

c) If this growth rate continues, what will GDP be in 2025-26? ₹_____ lakh crores

Growth Rate Formulas

Annual Growth Rate = [(Final Value / Initial Value)^(1/n) - 1] × 100

Future Value = Present Value × (1 + growth rate)^years

Problem Set 2: Inequality and Poverty Analysis

Intermediate

Problem 2.1: Poverty Line Analysis

A rural district in Madhya Pradesh has 100,000 households with the following income distribution:

Income Range (₹/month) Number of Households
0 - 1,000 15,000
1,001 - 2,000 25,000
2,001 - 3,000 20,000
3,001 - 5,000 25,000
5,001 - 10,000 12,000
Above 10,000 3,000
Calculate (assuming poverty line = ₹2,500/month):

a) Number of households below poverty line: _______

b) Poverty headcount ratio: ______%

c) If poverty line increases to ₹3,500/month, new poverty rate: ______%

d) Estimate average monthly income of poorest 40% of households: ₹_______

Policy Questions
  1. How sensitive are poverty estimates to the poverty line definition?
  2. What types of interventions would be most effective for different income groups?
  3. How might income distribution change with economic development?

Problem 2.2: MGNREGA Economic Impact

A village receives ₹10 lakh under MGNREGA for infrastructure development.

Scenario Details:
  • 50 households participate, earning average ₹15,000 each
  • ₹2.5 lakh spent on materials (cement, tools) from nearby town
  • Local spending multiplier estimated at 1.5x
  • Infrastructure created: 1 km rural road, 3 check dams
Economic Impact Analysis:

a) Direct income to households: ₹_______

b) Local economic activity generated (using multiplier): ₹_______

c) If 60% of wages are spent locally, additional economic activity: ₹_______

d) Cost per participating household: ₹_______

Broader Analysis
  1. How do you value the infrastructure created? What are its economic benefits?
  2. Compare this to direct cash transfers of ₹20,000 per household. Which is better?
  3. What are the opportunity costs of this spending?

Problem Set 3: Institutional Analysis

Advanced

Case Study: Digital India's Economic Impact

Analyze the economic effects of institutional innovation through India's digital governance reforms.

Problem 3.1: Transaction Cost Analysis

Before digital reforms, getting a birth certificate in rural areas involved multiple steps:

Step Time (hours) Cost (₹) Success Rate (%)
Travel to district office 4 200 100
Queue and documentation 3 50 80
Processing and pickup 4 200 90
Informal payments 0 500 95

Digital system: Online application, 2 hours total time, ₹100 cost, 95% success rate

Calculate Economic Benefits:

a) Average time saved per application: _____ hours

b) Average money saved per application: ₹_____

c) If 1 million applications per year, total time savings: _____ hours

d) Value time at ₹100/hour. Total annual economic benefit: ₹_____ crores

Institutional Analysis
  1. What institutional factors enabled this digital transformation?
  2. How do reduced transaction costs affect economic activity?
  3. What are the distributional effects - who benefits most?
  4. What barriers remain for the poorest households?

Problem 3.2: State Capacity Measurement

Compare two states' capacity to implement a rural health program:

Indicator State A State B
Health budget execution (%) 85% 65%
Vacancy rate in health posts (%) 25% 45%
Facilities with basic infrastructure (%) 78% 52%
Digital health records coverage (%) 60% 20%
Time to process health scheme applications (days) 15 45
State Capacity Assessment:

a) Create a simple state capacity index (scale 0-100) for each state:

State A Index: _____

State B Index: _____

b) Which dimensions show the largest gaps?

c) What would be the cost difference of program implementation?

Problem Set 4: Policy Evaluation

Advanced

Problem 4.1: Cost-Benefit Analysis of Education Investment

A state government is considering expanding secondary education access in rural areas.

Policy Proposal:
  • Build 100 new secondary schools in rural areas
  • Cost: ₹500 crores over 5 years
  • Expected to increase secondary completion rate from 60% to 75%
  • Each additional graduate earns ₹50,000 more annually over lifetime
  • Discount rate: 8% per annum
Cost-Benefit Calculation:

a) Total program cost: ₹_____ crores

b) Additional students completing secondary education: _____

c) Present value of lifetime earnings gains per student: ₹_____

d) Total present value of benefits: ₹_____ crores

e) Benefit-Cost Ratio: _____

Present Value Formula

PV = Annual Benefit × [(1 - (1 + r)^-n) / r]

Where r = discount rate, n = number of years

Policy Questions
  1. What assumptions in this analysis might be questionable?
  2. How would you account for social benefits beyond individual earnings?
  3. What alternative investments might yield higher returns?
  4. How sensitive are results to changes in key assumptions?

Problem 4.2: Tax Policy and Economic Incentives

India is considering changes to agricultural income taxation to improve efficiency and equity.

Policy Option Revenue (₹ thousand crores) Impact on Small Farmers Impact on Large Farmers Administrative Cost
Status Quo (No tax) 0 Neutral High benefit Low
Flat 10% tax 150 High burden Low burden Medium
Progressive tax (0-15%) 120 Low burden High burden High
Tax only above ₹5 lakhs 80 No burden Medium burden Medium
Policy Analysis:

a) Rank options by revenue generation:

b) Rank options by equity considerations:

c) Which option best balances efficiency and equity?

d) What economic behaviors might each option encourage/discourage?

Economic Analysis
  1. How might agricultural taxation affect rural-urban migration?
  2. What are the political economy constraints on agricultural taxation?
  3. How could technology reduce administrative costs?
  4. What complementary policies might be needed?
Answer Key & Discussion Points

Note for Instructors: Detailed solutions and discussion guides are available in the instructor manual. Key learning objectives include: