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Assume That You Just Had a Child,and You Are Now

question 28

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Assume that you just had a child,and you are now planning for her college education.You would like to make 43 equal payments over the next 21 years (the first payment to be made immediately,all other payments to be made at 6-month intervals,with the final payment to be made at her 21st birthday) so that you will be able to cover her expected expenses while in school.You expect to pay expenses on her 18th,19th,20th,and 21st birthdays.Assume that the current (time period 0) annual cost of college is $6,000,that you expect annual inflation to be 8 percent for the next 5 years,and then 5 percent thereafter.If you expect to be able to earn a return of 4 percent every 6 months on your investments (a simple rate of 8 percent with semiannual compounding) ,what will be the amount of each of the 43 payments?


Definitions:

Expansionary Monetary Policy

A policy by central banks aimed at increasing the money supply to stimulate economic growth, typically involving lower interest rates and increased lending.

Stock Market

A public marketplace for buying and selling shares of publicly listed companies.

Recession

A period of temporary economic decline during which trade and industrial activity are reduced, generally identified by a fall in GDP in two successive quarters.

Government Spending

Expenditure by the government in any given period, typically on public services, defense, infrastructure, and social welfare programs.

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