An example that takes you to unlock the EPS undifferentiated point of the simple algorithm

Mondo Finance Updated on 2024-01-31

The EPS Undifferentiated Point Simple Algorithm is a method used to compare the impact of different financing options on earnings per share. The basic idea is to calculate earnings before interest and taxes (EBIT) when earnings per share are equal under two or more financing options. This EBIT is the EPS indifference point, that is, at this point, there is no difference in earnings per share between different financing options. If the estimated EBIT is higher than the undifferentiated point, choose the option with the higher interest rate;If the projected EBIT is lower than the undifferentiated point, choose the option with a lower interest rate.

The formula for the EPS undifferentiated point simple algorithm is:

ebit = number of large shares, number of small shares, number of large shares, large interest, small number of shares, small interest.

Among them, the number of large shares and the number of small shares represent the total number of shares under the two financing schemes, and the large interest and small interest represent the pre-tax fixed financing costs under the two financing schemes respectively (if there are preferred shares, divide by 1-income tax rate to convert to pre-tax).

For example, suppose a company has two financing options, and plan A is to issue 10 million ordinary shares with a par value of 10 yuan per share and pay 10% of the dividend every yearPlan B is to issue 5 million ordinary shares with a par value of $10 per share, pay a dividend of 10% per year, and issue bonds of 50 million yuan at an annual interest rate of 8%. Suppose the company's existing number of shares is 20 million shares, the existing debt is 100 million yuan, the annual interest rate is 6%, and the income tax rate is 25%. Find the point where there is no difference in earnings per share under the two scenarios.

Solution: The number of large shares of plan A is 2000 + 1000 = 30 million shares, and the number of small shares of plan B is 2000 + 500 = 25 million shares.

The large interest of plan A is 1000 10% + 100 6% = 10.6 million yuan, and the small interest of plan B is 500 10% + 100 6% + 50 8% = 9.4 million yuan.

The EBIT of the undifferentiated EPS is:

ebit=3000 25003000 1060 2500 940=2400 (10,000 yuan).

This means that if the company's estimated EBIT is higher than $24 million, it should choose option A;If the company's estimated EBIT is less than 24 million yuan, it should choose option B;If the company's projected EBIT is equal to $24 million, then there is no difference in earnings per share between the two scenarios.

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