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Welfare Implications of the Transition to High Household Debt Jeffrey R. Campbell and Zvi Hercowitz Presentation at the Conference Household Finances and Housing Wealth Banco de España April 2007. Introduction.
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Welfare Implications of the Transition to High Household Debt Jeffrey R. Campbelland Zvi Hercowitz Presentation at the Conference Household Finances and Housing Wealth Banco de España April 2007
Introduction • Who benefits in the economy from relaxing a borrowing constraint? Borrowers or Savers? • Microeconomic level • Macroeconomic level • Relaxation of borrowing constraints in the US: Aggressive deregulation of the mortgage market in early 1980s • Background: • Homes and vehicles collateralize most household debt: 90% in 2001 (1962: 85%). Typical debt contract: equity requirements • Deregulation in 1982: Greater access to sub-prime mortgages and refinancing. Lowering “equity requirements”
Housing equity 1982: 71% of GDP • Household Debt/GDP: 43% in 1983 56% in 1990 • Model: borrower-saver model in Campbell and Hercowitz (2006) • 10th wealth decile. 72.8% of financial assets in 2001 "saver" • 1st-9th wealth deciles. 73.4% of household debt in 2001 "borrower" M
Rest of the Talk • The model • Quantitative results: Computed transition dynamics • Interpretation of the data through the eyes of the model • Welfare effects • Conclusions
The Borrower-Saver Model Main Features • Borrowing is collateralized – equity requirement • The two household differ in time preference and in labor supply. Only the borrower supplies labor • In equilibrium: saver holds all the assets, borrower owes all the debt. Borrower’s only asset: equity on durable goods • The capital stock is constant
Trade Markets are competitive: Households sell capital services and labor to the firms – make loans to each other Factor prices: Ht , Wt Only security traded: Collateralized debt with a period-by-period adjustable rate Notation:
Equity Requirement • Equity requirement parameters: • 0 < < 1: initial equity share • δ≤ < 1: equity accumulation • Required equity share for a good j periods old:
The equity constraint on a household is: This constraint can be rewritten as:
Optimization and Equilibrium • Equity constraint: binds for at most one type of household at a time • Conjecture: It binds for the borrower from t*≥ 0. This is verified in the solution
Utility Maximization by Savers Budget constraint and first-order conditions:
Utility Maximization by Borrowers Constraints:
Quantitative Results The experiment • Initial pre-reform steady state calibrated to the equity requirements observed through 1982:IV • Lower equity requirements: and π values calibrated to the period from 1995:I onwards • Computation of the transition path to the new steady state
loan to value ratio repayment rate Calibration – Main Features Data: Cars: Average loan-to-value ratios and terms from the data Homes: SCF, and actual change in debt/asset ratio High requirement regime: = 0.16, = 0.0315 Low requirement regime: = 0.11, = 0.0186
Computation procedure • Equilibrium path beginning at the old steady state • Modified version of Fair and Taylor's (1983) procedure • Borrower's equity constraint does not bind until t * ≥ 0 • t * = 30
Interpretation of the Evidence • Evolution of wealth distribution from the SCF. Every 3 years: 1983-2001 • Comovement of household debt and interest rates
Shares of the Wealthiest 10% Households(2) Housing and Vehicles
Household Debt and the Real Interest RateDebt/Assets Ratios and Real 3-year T Bill Rate fed
Welfare Analysis • Equivalent permanent change in both consumption goods • Across steady states: • Saver: 12 % • Borrower: -4.4 % • Including the transition: • Saver: 2.02 % • Borrower: 0.26 % • Wage rate, capital income and interest rate constant: • Saver: 0 % • Borrower: 1.35 % • Wage rate and capital income constant: • Saver: 1.36 % • Borrower: 0.45 %
Concluding Comments • The transition is characterized by a prolonged increase in household debt accompanied by high interest rates. • Since 1983: Positive comovement of household debt and interest rates. • The main result: Savers gain from the financial reform more than borrowers---in spite of the fact that the relaxation of equity requirements applies directly to the latter.
Extension of the Model: Irreversible Investment The constraint binds only for the saver, and only initially. t** = 17, t* = 33