Question

In: Economics

Suppose that, prior to the passage of the Truth in Lending Simplification Act and Regulation Z,...

Suppose that, prior to the passage of the Truth in Lending Simplification Act and Regulation Z, the demand for consumer loans was given by Qdpre-TILSA = 10 -80P (in billions of dollars) and the supply of consumer loans by credit unions and other lending institutions was QSpre-TILSA = 4 + 80P (in billions of dollars). The TILSA now requires lenders to provide consumers with complete information about the rights and responsibilities of entering into a lending relationship with the institution, and as a result, the demand for loans increased to Qdpost-TILSA = 22 -80P (in billions of dollars). However, the TILSA also imposed “compliance costs” on lending institutions, and this reduced the supply of consumer loans to QSpost-TILSA = 2 + 80P (in billions of dollars).

Based on this information, compare the equilibrium price and quantity of consumer loans before and after the Truth in Lending Simplification Act.(Note: Q is measured in billions of dollars and P is the interest rate).

Instruction: Enter your responses for the equilibrium price in percentage terms, and round all responses to one decimal place.

Equilibrium price (interest rate) before TILSA:  percent

Equilibrium quantity (in billions of dollars) before TILSA: $  billion

Equilibrium price (interest rate) after TILSA:  percent

Solutions

Expert Solution

Before:

Prior to the passage of the Truth in Lending Simplification Act and Regulation Z,

Demand for consumer loans was given by Qdpre-TILSA = 10 -80P (in billions of dollars)

Supply of consumer loans was given by QSpre-TILSA = 4 + 80P (in billions of dollars)

To get the equilibrium price we equate the Demand for consumer loans = Supply of consumer loans

10 -80P = 4 + 80P

80P + 80P = 10 - 4

160P = 6

P = 6 / 160 = 0.0375

The equilibrium price in percentage = 0.0375 * 100 = 3.75% = 3.8% (Rounding to one decimal place)

The equlibrium quantity can be found out by substituting equilibrium price in either Qdpre-TILSA or QSpre-TILSA

Substituting it in Qdpre-TILSA =10 -80P

= 10 - 80(0.0375)

= 10 - 3 = $ 7 billion

After:

After to the passage of the Truth in Lending Simplification Act and Regulation Z,

Demand for consumer loans was given by Qdpost-TILSA = 22 -80P (in billions of dollars)

Supply of consumer loans was given by QSpost-TILSA = 2 + 80P (in billions of dollars)

To get the equilibrium price we equate the Demand for consumer loans = Supply of consumer loans

22 -80P = 2 + 80P

80P + 80P = 22 - 2

160P = 20

P = 20 / 160 = 0.125

The equilibrium price in percentage = 0.125 * 100 = 12.5% (Rounding to one decimal place)

Summarizing:

My responses for the equilibrium price in percentage terms, and round all responses to one decimal place.

Equilibrium price (interest rate) before TILSA: 3.8 percent

Equilibrium quantity (in billions of dollars) before TILSA: $ 7 billion

Equilibrium price (interest rate) after TILSA: 12.5 percent


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