Question
Alex just won the lottery and must choose between three award options: 1. A lump sum of $10,000,000 received today 2. 15 end-of-year payments of
Alex just won the lottery and must choose between three award options:
1. | A lump sum of $10,000,000 received today |
2. | 15 end-of-year payments of $1,250,000 |
3. | 40 end-of-year payments of $900,000 |
For each option in the table, indicate which values to enter for each variable in your financial calculator.
Option 1 | Option 2 | Option 3 | |||
---|---|---|---|---|---|
Lump Sum Payment | 15 Payments | 40 Payments | |||
No. of Periods | = | = | |||
Annual payment | = | = | |||
Future Value | FV= 0 | FV = 0 | |||
Present Value | $10,000,000 | ? | ? |
Assume the interest rate is 8.00%, entered as 8 on your financial calculator.
Note: Take the absolute value of the present value when answering this question.
Using the table you just filled out, along with a financial calculator, yields a present value for option 2 of approximately and a present value for option 3 of approximately (when the interest rate is 8.00%). Based on this, Alex should choose option if he seeks to maximize present value.
Now assume the interest rate is 9.00%, entered as 9 on your financial calculator.
Note: Take the absolute value of the present value when answering this question.
Using the table you just filled out, along with your financial calculator, yields a present value for option 2 of approximately and a present value for option 3 of approximately (when the interest rate is 9.00%). Based on this, Alex should choose option if he seeks to maximize present value.
Assume the interest rate is 10.00%, entered as 10 on your financial calculator.
Note: Take the absolute value of the present value when answering this question.
Using the table you just filled out, along with your financial calculator, yields a present value for option 2 of approximately and a present value for option 3 of approximately (when the interest rate is 10.00%). Based on this, Alex should choose option if he seeks to maximize present value.
As the interest rate increases, option 1 becomes attractive.
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