In: Finance
A bonus package pays an employee $1,000 at the end of the first year, $1,500 at the end of the second year, $2,000 at the end of the third year, and so on, continuing to increase by $500 every year for the first nine years of employment. What is the present value today of the bonus package at 9% interest?
- Bonus pcakage pays an employee $1,000 at the end of 1st year, $1500 at the end of second year and this goes on for the first 9 years.
Calculating the Present Value of Bonus Package today:-
Year | Bonus Package increases $500 every year | Bonus Package's Cash Flow ($) | PV Factor @9% | Present Value of Bonus Package's Cash Flow ($) |
1 | $1,000 | 1,000.00 | 0.91743 | 917.431 |
2 | $1,000 + $500 = $1500 | 1,500.00 | 0.84168 | 1,262.520 |
3 | $1,500 + $500 = $2,000 | 2,000.00 | 0.77218 | 1,544.367 |
4 | $2,000 + $500 = $2,500 | 2,500.00 | 0.70843 | 1,771.063 |
5 | $2,500 + $500 = $3,000 | 3,000.00 | 0.64993 | 1,949.794 |
6 | $3,000 + $500 = $3,500 | 3,500.00 | 0.59627 | 2,086.936 |
7 | $3,500 + $500 = $4,000 | 4,000.00 | 0.54703 | 2,188.137 |
8 | $4,000 + $500 = $4,500 | 4,500.00 | 0.50187 | 2,258.398 |
9 | $4,500 + $500 = $5,000 | 5,000.00 | 0.46043 | 2,302.139 |
16,280.785 |
So, the Present Value of Bonus Package today is $16280.79