The leverage ratio and the asset of the bank.

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For the two questions, use the provided Lorenz curve. Income 100% Lorenz curve If the economy's income were distributed according to the Equality line, what would the Gini coefficient be? 1 0 0.5 Infinity 80 60 60 60 10 40 If the economy's income were distributed according to the A line, how much of the economy's income is earned by the third quintile of families? 60% 40% 20% 100% 20 Equality 0 20% 40 40 A 50 60 80 100 Families

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Chapter 16, Problem 4CQQ

To determine

The leverage ratio and the asset of the bank.

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For the two questions, use the provided Lorenz curve. Income 100% Lorenz curve If the economy's income were distributed according to the Equality line, what would the Gini coefficient be? 1 0 0.5 Infinity 80 60 60 60 10 40 If the economy's income were distributed according to the A line, how much of the economy's income is earned by the third quintile of families? 60% 40% 20% 100% 20 Equality 0 20% 40 40 A 50 60 80 100 Families

1. For the following utility functions, (i) calculate the MRS, (ii) show whether the MRS is constant, or diminishing, or increasing, (iii) calculate the degree of homogeneity, (iv) check the convexity of the Indifference Curve using the condition that for a function to be strict quasi-concave, it must be that f2f11-2f1f2f12+ ff22 < 0, (v) based on MRS's characteristics, draw an approximate Indifference Curve, and (vi) comment on the type of utility function. (a) U(x, y) = 3x + y (b) U(x, y)=√√x y (c) U(x, y)=√√x + y (d) U(x, y)=xy x+y

A 9R, where 1-b 1-b Question Two Consider the IS-LM Model. Let the IS equation be Y = (1b) is the marginal propensity to save, g is the investment sensitivity to interest rates, and A is an aggregate of exogenous variables. Let the LM equation be Y = +=R, where k and 1 are income and interest sensitivity of money demand, and Mo is real money balances. Mo k k It is given b = 0.7, g = 100, A = 252, k = 0.25, l = 200, and Mo 176. a) Utilize the given numbers to substitute the variables in the model, and then write down the IS-LM equation system in matrices form. b) Solve for the equilibrium values of Y and R using Cramer's Rule. (Note: Keep 2 digits after the decimal point.)