Question

Your company has been bought out by another company. In the acquisition, you have been asked to leave the company and as severance pay may take either $100,000 per year for the next ten years or a lump settlement today. If 10% is a reasonable discount rate, what would be the minimum amount you would accept today

Answer 1

Answer:

$614,457

Explanation:

The present value of the annual cash inflow of $100,000 for ten years can be found by the following formula:

Present Value  = Annual Cash Inflow * Annuity Factor (Step 1)

Here

annuity Factor at 10% for 10 years time is

By putting values we have:

Present Value = $100,000 × 6.14457 = $614,457

Step 1 : Annuity Factor

Annuity Factor = (1 - (1 + r)^-n) / r

Here r is 10% and n is 10 years.

So by putting values, we have:

Annuity Factor = (1 - (1 + 10%)^-10) / 10%   =  6.14457