You are looking at two investment options, A and B. Investment A is a 13-year annuity that needs an end-of-month payment of $1,100, and has an APR of 7.5% compounded monthly. Investment B is also a 13-year investment, but needs a lump sum investment that has as an APR of 7% compounded weekly. 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 13 years? If Investment B, with 7% APR compounded weekly, gave you the option of investing a constant amount at the end of every six months, then what would this amount be in order to give you the same wealth as Investment A at the end of 13 years?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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You are looking at two investment options, A and B. Investment A is a 13-year annuity that needs an end-of-month payment of $1,100, and has an APR of 7.5% compounded monthly. Investment B is also a 13-year investment, but needs a lump sum investment that has as an APR of 7% compounded weekly.

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 13 years?

If Investment B, with 7% APR compounded weekly, gave you the option of investing a constant amount at the end of every six months, then what would this amount be in order to give you the same wealth as Investment A at the end of 13 years?

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