YOU WIN $500,000 do you want to be paid out all at once or do you want to receive annual end of year payments of $33,000 for 20 years. you can earn 3% per year, what is the persent value of the annuity stream.

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
Section: Chapter Questions
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YOU WIN $500,000 do you want to be paid out all at once or do you want to receive annual end of year payments of $33,000 for 20 years. you can earn 3% per year, what is the persent value of the annuity stream.

 

 

Expert Solution
Step 1

Calculation of Present Value of Annuity Stream:

The present value of annuity stream is $490,956.67.

Excel Spreadsheet:

А
В
1 Annual Payments
2 Interest Rate
$33,000
3%
3 Number of Years
20
4 PV of Annuity Stream $490,956.67
Step 2

Excel Workings:

А
В
1 Annual Payments
33000
0.03
20
2 Interest Rate
3 Number of Years
4 PV of Annuity Stream PV(B2,B3,-B1,0)
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