The maximum utility attained by the consumer where Px= ₹ 5, Py= ₹ 5 and M= ₹ 5000.
d. Derive Roy’s identity.

 Indirect utility function for such a consumer.

Marshallian demand function for goods X and Y.

 Consider a Cobb-Douglas utility function

U (X, Y) = X^1/2 Y^1/2
Where X and y are the two goods that a consumer consumes at per unit prices of Px and Py respectively. Assuming the income of the consumer to be ₹M, determine:

Determine the conditions that need to be fulfilled by an allocation to be termed as Pareto efficient allocation.

. a. Consider a pure-exchange economy of two individuals (A and B) and two goods (X and Y) Individual A is endowed with 5 units of good X and 3 units of good Y, while individual B with 3 and 4 units of goods X and Y respectively. Assuming utility functions of individuals A and B to be UA=XAYA^2 and UB=XBYB where Xi and Yi for i= {A, B} represent individual i's consumption of good X and Y respectively, what will be the set of Pareto optimal allocation in this economy?

Measures of Money Supply

 Dating of Business Cycles

Bring out the salient features of the life cycle hypothesis. What are its implications?

Critically examine the relevance and implications of policy ineffectiveness theorem.

What does the Phillips curve signify? How do you reconcile the difference in the shape of the curve in the short run and the long run?

In an open economy with fixed exchange rate, the government does not have autonomy in monetary policy. Do you agree with this statement? Justify your answer.

Explain the optimal conditions of the household equilibrium in the Ramsey Cass -Koopmans model. Derive relevant equations and use appropriate diagrams.

 Consider the overlapping generations model where each member lives for two time periods 't' and (t+1). Assume that individuals work in time period 't' and earn wage income, while they do not work in time period (t+1) and survive on interest income. Explain the impact of an increase in interest rate on consumption during time period 't'.

What impact do geographical factors have on economic development?

Discuss the relationship between income inequality and economic growth.

 Explain the various approaches to measurement of total factor productivity?

Discuss the important features of labour market in developing countries

 Distinguish between economic growth and development. Examine the benefits that economic growth confers upon society.

Why does diminishing returns to capital not take place in the AK growth model? Analyse the Lucas model of endogenous growth, bringing out the role of human capital.