In: Finance
In 20X5 MyEducator had sales of $5,521 (in millions), EBIT of $1,720 (in millions), and net income of $528 (in millions). Its DOL, DFL, and DCL are 3.21, 3.26 and 10.46, respectively. If the sales decreases to $5,200 (in millions) in 20X6, what is the earnings before interest and taxes of MyEducator in 20X6?
A)$1,399
B)$674
C)$1,394
D)$1,775
E)$2,041
Degree of operating leverage is used to calculate the percentage change in operating income when sales changes by certain percentage. | ||||||||
Calculation of % change in sales | ||||||||
% change in sales = (Current year sales - Previous year sales)/Previous year sales | ||||||||
% change in sales | ($5,200-$5,521)/5,521 | |||||||
% change in sales | -5.81% | |||||||
The sales of company has decrease and so operating income will also decrease. | ||||||||
Calculation of % decrease in operating income | ||||||||
% decrease in operating income | % change in sales*DOL | |||||||
% decrease in operating income | 5.81%*3.21 | |||||||
% decrease in operating income | -18.66% | |||||||
Calculation of earnings before interest and taxes for 20X6 | ||||||||
Earnings before interest and taxes | EBIT of 20X5*(1-% decrease in operating income) | |||||||
Earnings before interest and taxes | 1720*(1-0.1866) | |||||||
Earnings before interest and taxes | $1,399 | |||||||
Thus, the earnings before interest and taxes in 20X6 is $1,399. | ||||||||