Question

In: Finance

Education: Assume people live 2 years: youth (year 1) and adult (year 2). Youths either go...

Education: Assume people live 2 years: youth (year 1) and adult (year 2). Youths either go to school or work. If they go to school, they earn zero. If they work they earn $1000. As adults, everyone works. An educated adult earns $3000 while an uneducated adult earns $1800. The interest rate is 12% and the government pays the full cost of schooling at $350 per year.   

Earnings

Earnings: Year 1 Year 2

A. Earnings profile: no school $1000 $1800

B. Earnings profile: with school 0 $3000

C. Earnings gain from schooling -$1000 +$1200

Therefore, calculate the present discounted value of the benefits of schooling and the rate of return for both the individual and society.

Net Private Benefit?

Private Rate of Return?

Net Social Benefit?

Social Rate of Return?

Solutions

Expert Solution

Solution:

Given,
Considering earnings as the cash-flows at end of year. Year 1 Year 2
Earnings Profile (No school) 1000 1800
Earnings Profile (School) 0 3000
Earning gains from schooling -1000 1200
Initial Investment for individual for School at start 0
Investment for society for School in at start -350
Year 0 Year 1 Year 2
Cashflows for individual 0 -1000 1200
Cashflows for society -350 -1000 1200
Interest rate 12%
Present discounted value of schooling for individual or net private benefit: ((-1000/(1.12)) + (1200/(1.12)^2)) - 0 63.77551
Private rate of return or IRR for individual 20.00%
Present discounted value of schooling for society or net social benefit: ((-1000/(1.12)) + (1200/(1.12)^2)) - 350 -286.224
Social rate of return or IRR for society -8.990%

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