If estimated earnings for year 1 is of $100,000 (taken from table above), then
Rt = $100,000
t = 1
i = 24%
NPV = $100,000 / (1 + .24)1
NPV = $80,645
If estimated earnings for year 2 is of $120,000 (taken from table above), then
Rt = $125,000
t = 2
i = 24%
NPV = $125,000 / (1 + .24)2
NPV = $81,295
Take over from here to calculate present value of estimated earnings in years,3,4 and 5. Sum all years (1, 2, 3, 4, 5, ) to get the worth of Charles’s business, based on the discounted future earnings method. Fill in the numbers appropriately, as demonstrated in year 1 and 2 examples.
Rt = $150,000
t = 3
NPV = $150,000 / (1 + .24)3 = $78,674
Rt = $200,000
t = 4
NPV = $200,000 / (1 + .24)4 = $84,595
Rt = $250,000
t = 5
NPV = $250,000 / (1 + .24)5 = $85,277
What is the worth of Charles's business based on the discounted future earnings method?
Total NPV of projected earnings = sum of years 1, 2, 3, 4, 5 = $410,486
Is this method is accurate? Why or why not?
No, it doesn’t take into account things such as inventory, debts, or increased popularity of Charles’s product/service as time goes by.
As Charles expects his business to give him greater earnings than the average company in the industry, he wants to ensure that he is not undervaluing his business. To take these greater earnings into account he asks his accountant for an alternative method. The excess earnings method is proposed using the following steps.
Because depreciation and inflation affect the true value of some assets, it is important to adjust the book value of some assets to give their true or fair market value. Consider the following aspects of Charles’s business:
Adjusted Assets only |
Book Value |
Fair Market Value |
Inventory |
$100,000 |
$125,000 |
Plant and Equipment |
$400,000 |
$600,000 |
Other intangibles |
N/A |
(-$50,000) |
Totals |
$500,000 |
$675,000 |
Review the information provided above to convince yourself of how the totals were determined.The adjustable tangible book value is the excess difference between the book value and the total fair market value.
What is Charles’s adjustable tangible book value of his assets?
ATBV of assets = $675,000 - $500,000 = $175,000.
As you learned earlier in the course the net worth of a business is calculated as follows:
Net worth = Assets - Liabilities
Charles determined that his total book value of all assets (not just adjusted assets) is $800,000, and his liabilities equal $475,000. To take into account fair market value of his assets, Charles must adjust his assets by adding the excess $175,000 determined above.
What is Charles’s adjusted tangible net worth?
ATNW = $800,000 + $175,000 - $475,000 = $500,000
Opportunity cost, in this case, is the cost the buyer will incur buying Charles’s business rather than another. This is approximately the same as the discount rate in the discounted future earnings method that the accountant explained to Charles earlier. Let us assume a discount rate of 25%. This means, essentially, that anyone who buys Charles’s business is paying 25% of the net worth calculated in step 2 for the future opportunities available in the acquisition. In addition to the 25% discount rate applied to the adjusted net worth, the opportunity cost also includes the cost of a reasonable salary that could be earned elsewhere. Let us assume a salary of $50,000.
What is the opportunity cost associated with purchasing Charles’s business?
OC = $500,000 x 25% = $125,000 + $50,000 = $175,000
Here we can use the final net earnings figure from Charles’s discounted future earnings method, from question 1. Take the projected net earnings from step 4 above and then subtract total opportunity cost (from step 3 above). This will give us the extra earnings power. We then multiply this extra earnings power by the number of years we decide is appropriate (this is subject to negotiation by the seller). Let us assume 5 years.
What is the extra earnings power of Charles’s business over the next 5 years?
EEP = $410,486 - $175,000 = $235,486
EEP over 5 years = $235,486 x 5 years = $1,177,430
The valuation of the business is now possible. This is accomplished by adding the extra earnings power over the number of years established by the seller to the adjusted tangible net worth of the business.
What is the value of Charles’s business?
$1,177,430 + $500,000 = $1,677,430