In: Accounting
You have been offered a job with an unusual bonus structure. As long as you stay with the firm, you will get an extra every seven years, starting seven years from now. What is the present value of this incentive if you plan to work for the company for years and the interest rate is (EAR)? (Note: Be careful not to round any intermediate steps less than six decimal places.) The present value of this incentive is $
Plan: Draw a timeline to fully understand the timing of the cash flows. Determine the present value of the bonus payments.
Execute:
0 |
7 |
14 |
42 |
|||||||
70,000 |
70,000 |
70,000 |
||||||||
Because the equivalent discount rate for a 7-year period is 50.363%.
Using the annuity formula
N |
I/Y |
PV |
PMT |
FV |
Excel Formula |
|
Given: |
6 |
50.36% |
|
70,000 |
0 |
|
Solve for PV: |
|
|
(126,964.34) |
|
|
=PV(0.503630258991361,6,70000,0) |
Evaluate: The present value of the bonus payments is $126,964.