n = 30, i = 3, FV = 0, PMT = 3,000, CPT PV, n = 45 CPT PMT gives $23,982
• The savings are then $30,000 - $23,982 = $6,018
Human Capital and Permanent Income
5.1 A Life-Cycle Model of Saving
• Assume that you are currently 35 years old, expect to retire in 30 years at 65, and then live for 15 more years until 80 • Your real labor income is $30,000/year until age 65 • Interest rates exceed inflation by 3%/ year
IRA Benefits
– The major benefits are more subtle. Assume:
• You can reserve $2,000 of pre-taxed income for investment, starting next year, for the next 40-years. This will grow at the rate of inflation of 3% • That the investment will return 10%/year • That you plan to remain retired for 20-years, and will require income that is indexed to inflation • The tax rate on all taxable income streams is 30%, both now and after retirement