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:

Cognitive Therapy

A form of psychological therapy that focuses on changing unhelpful or unhealthy thought patterns to improve emotional and mental health.

Maladaptive Behaviours

Actions or tendencies that are counterproductive to individuals' wellbeing or goals, often used in the context of psychological health.

Negative Thought Patterns

Repetitive, unhelpful thoughts that can contribute to or exacerbate mental health issues like depression and anxiety, often focusing on pessimism and self-doubt.

Psychopharmacotherapy

The treatment of mental disorders using medications that affect brain chemistry.