You are looking at two investment options, A and B. Investment A is a 15-year annuity that needs an end-of-month payment of $1,100 and has an APR of 9% compounded monthly. Investment B is also a 15-year investment, but a lump sum investment that has as an APR of 8% compounded daily. How much money do you need to invest in B today as a single lump sum amount if you wish to have the same wealth as in Investment A in 15 years? If Investment B, with 8% APR compounded daily, gave you the option of investing a constant amount at the end of every six months, what would this amount be in order to give you the same wealth as in A at the end of 15 years?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 16P
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You are looking at two investment options, A and B. Investment A is a 15-year annuity that needs an end-of-month payment of $1,100 and has an APR of 9% compounded monthly. Investment B is also a 15-year investment, but a lump sum investment that has as an APR of 8% compounded daily.

  1. How much money do you need to invest in B today as a single lump sum amount if you wish to have the same wealth as in Investment A in 15 years?

  2. If Investment B, with 8% APR compounded daily, gave you the option of investing a constant amount at the end of every six months, what would this amount be in order to give you the same wealth as in A at the end of 15 years?

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