Question

Your grandmother would like to share some of her fortune with you. She offers to give you money under one of the following sc
X Present Value of Annuity of $1 Present Value of Annuity of $1 Periods 1% 2% 3% 4% 5% 6% 8% 10% 12% 14% 16% 18% 20% 0.980 0.
Future Value of Annuity of $1 Future Value of Annuity of $1 5 % 1.000 Periods 1% 2% 3% 4% 6% 8% 10% 12% 14% 1.000 2140 3440 1
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Future Value of $1 Future Value of $1 12% 20% 10% 16% 18% 4% 8 % 1.080 1.166 1260 1.360 1.469 Periods 1% 1.010 1.020 1,030 2%
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Answer #1
Using 8%
Present value of Annuity of $1 5.206 =(1-(1.08)^-7)/0.08
Present value of $1 0.583 =1/1.08^7
Present value
Scenario 1 40347 =7750*5.206
Scenario 2 50250
Scenario 3 58446 =100250*0.583
Scenario 3 yields highest present value
Using 12%
Present value of Annuity of $1 4.564 =(1-(1.12)^-7)/0.12
Present value of $1 0.452 =1/1.12^7
Present value
Scenario 1 35371 =7750*4.564
Scenario 2 50250
Scenario 3 45313 =100250*0.452
Yes, the preference changes
Scenario 2 yields highest present value
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