In: Finance
A rookie quarterback is in the process of negotiating his first contract. The team's general |
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manager has offered him three possible contracts. Each contract lasts for four years. |
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All of the money is guaranteed and is paid at the end of each year. The payment |
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terms of the contracts are as follows: |
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(dollars in millions) |
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Year |
Contract 1 |
Contract 2 |
Contract 3 |
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1 |
$1.50 |
1.0 |
3.5 |
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2 |
$1.50 |
1.5 |
0.5 |
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3 |
$1.50 |
2 |
0.5 |
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4 |
$1.50 |
2.5 |
0.5 |
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The quarterback discounts all the cash flows at 12%. Which of the three |
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contracts offers the most value? (Hint: Calculate the present value of future cash flows) |
Calculation of present value
- Contract 1
Year | Cashflow ($ in millions) | PVF@12% | Cashflow*PVF |
1 | 1.50 | 0.89286 | 1.34 |
2 | 1.50 | 0.79719 | 1.20 |
3 | 1.50 | 0.71178 | 1.07 |
4 | 1.50 | 0.63552 | 0.95 |
Present Value = Cashflow*PVF
= 1.34+1.20+1.07+.95
= 4.56 million
- Contract 2
Year | Cashflow ($ in millions) | PVF@12% | Cashflow*PVF |
1 | 1.00 | 0.89286 | 0.89 |
2 | 1.50 | 0.79719 | 1.20 |
3 | 2.00 | 0.71178 | 1.42 |
4 | 2.50 | 0.63552 | 1.59 |
Present Value = Cashflow*PVF
= .89+1.2+1.42+1.59
= 5.10 million
- Contract 3
Year | Cashflow ($ in millions) | PVF@12% | Cashflow*PVF |
1 | 3.50 | 0.89286 | 3.13 |
2 | 0.50 | 0.79719 | 0.40 |
3 | 0.50 | 0.71178 | 0.36 |
4 | 0.50 | 0.63552 | 0.32 |
Present Value = Cashflow*PVF
= 3.13+.4+.36+.32
= 4.20 million
Decision: Contract 2 offers the most value to the comapany hence preferrable.