Question

In: Finance

A bonus package pays an employee $1,000 at the end of the firstyear, $1,500 at...

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?

Solutions

Expert Solution

- 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


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