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L10. Buying and Selling: Applications. Three Applications. Model with real endowments 1. Labor Supply (Labor-Leisure Choice) 2. Intertemporal Choice (Consumption-Savings Choice) 3. Uncertainty (Insurance) (Consumption across states of the world). Intertemporal Choice.
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L10 Buying and Selling: Applications
Three Applications Model with real endowments 1. Labor Supply (Labor-Leisure Choice) 2. Intertemporal Choice (Consumption-Savings Choice) 3. Uncertainty (Insurance) (Consumption across states of the world)
Intertemporal Choice • Two periods: Today and Tomorrow • Goods: consumtion today and tomorrow • Endowment: income today and income tomorrow • Possibility of borrowing and lending
Many Periods • Cashflows
Many Periods • Cashflow • E: T=3, r=100%. Choose: $1 in each of the three period or $8 in the third
Important cashflow: Perpetuity • Gives constant payment x forever • Cashflow
Perpetuity (Example) • You can rent an apartment for $1000 each month (r=0.5%=0.005) • You can buy it P=300.000 • Renting vs buying?
Perpetuity (Example) • Valuate a consol that pays $10,000 per year. (r=5%=0.05) • You inherit $1000,000. How much monthly interest are you going to get ? (r=5%=0.05)
Important cashflow: Annuity • “Tree” that gives constant payment in T following periods • Cashflow
Leasing or Buying A Car • Leasing or buying a car? Lease T=3, x=$800, r=100% or buy P=750 • Take a loan (how much do you pay monthly) Loan=1000, T=3, r=100% and x=?
Asset Valuation: Bonds • Treasury bill: Face, Coupon, Maturity • PV of T-bills (F, c, T) and r
Asset Valuation: Example • T-bond (F=100, c=10, T=6) and r=5%
Life cycle problems • Consumption – savings problem • Pension: • How much to put aside? • How much am I going to get?
Consumption Smoothing • Income: m=100 in the first 40 years • Consumption C during 60 years, • Constant consumption! Find C if r=5%
Pension Plan • You want C=100 when retired (61-80) • How much do you have to save if r=5%,
Pension Plan • You save S=100 (21-60) • How much will you get (per year) if r=5%,