Suppose You Divide Your Life into Two Periods-Working Age and Retirement

question 65

Essay

Suppose you divide your life into two periods-working age and retirement age.When you work,you earn labour income Y;when retired,you earn no labour income,but must live off your savings and the interest it earns.You save the amount S while working,earning interest at rate r,so you have (1 + r)S to live on when retired.Because you don't need to consume as much when retired,you want to set consumption when working twice as high as consumption when retired.
a.Suppose you earn $1 million over your working life and the real interest rate for retirement saving is 50%.How much will you save and how much will you consume in each part of your life?
b.Suppose your current income went up to $2 million when working.Now what will you save and how much will you consume each period?
c.Suppose a social security system will pay you 25% of your working income when you are retired.Now (with Y = $1 million,as in part a)how much will you save and how much will you consume each period?
d.Suppose the interest rate rises (starting from the situation in part a).Will you save more or less?

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Definitions:

Men's Income

The earnings or financial gain received by men for their labor or services.

Active In Their Lives

Being engaged and participatory in one's personal, familial, or community affairs, indicating involvement and interest.

Adolescents

A term used to describe young people typically between the ages of 13 and 19, navigating the transition from childhood to adulthood.

Ill-Tempered

Characterized by a tendency towards easily becoming angry or irritated, often showing a lack of patience or tolerance.