Mr. Ananta Jalil has received a job offer from a large investment bank as an assistant to the vice
president. His base salary will be $35,000. He will receive his first annual salary payment one year from
the day he begins to work. In addition, he will get an immediate $10,000 bonus for joining the company.
His salary will grow at 4 percent each year. Mr. Jalil is expected to work for the next 5 years. What is the
present value of the offer if the discount rate is 12 percent?
[Hints: Mixed cash flow]

Respuesta :

The present value of the offer is $145,466.83

What is the present value?

The first step is to determine the present value of the growing annuity. The formula that would be used is:

[tex]\frac{P}{r - g}[/tex] x [tex][1 - \frac{1 + g}{1 + r} ^{n} ][/tex]

Where:

  • p = base salary
  • r = discount rate
  • g = growth rate
  • n = number of years

$35,000 / (0.12 - 0.04) = 437,500

1 - (1.04/0.12)^5 = 0.31

0.31 x 437,500 = $135,466.83

Present value =  $135,466.83 + $10,000 =  $145,466.83

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