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Please explain how to calculate the EBIT in the following problem: (EBIT-EPS ana

ID: 2702936 • Letter: P

Question

Please explain how to calculate the EBIT in the following problem:


(EBIT-EPS analysis) Abe Forrester and three of his friends from college have interested a group of venture capitalists in                     backing their business idea. The proposed operation would consist of a series of retail outlets to distribute and service a full line of vacuum cleaners and                     accessories. These stores would be located in Dallas, Houston, and San Antonio. To finance the new venture two plans have been proprosed:
                    Plan A is all common-equity- structure in which 2.3 million dollars would be raised by selling 84,000 shares of common stock.
                    Plan B would involve issuing $1.1 million dollars in long term bonds with an effective interest rate of 11.6%                     plus $1.2 million would be raised by selling 42,000 shares of common stock. The debt funds raised under Plan B have no fixed maturity date, in that                     this amount of financial                     leverage is considered a permanent part of the firm’s capital structure.
                    Abe and his partners plan to use 34% tax rate in their analysis, and they have hired you on a consulting basis to do the following:
                    a. Find the EBIT indifference level associated with the two financing plans.
                    b. Prepare a pro forma income statement for the EBIT level solved for in Part a that shows that EPS will be the same regardless whether Plan A or B is                     chosen.
                    
                    a. Find the EBIT indifference level associated with the two financing plans.
                    
                    The EBIT indifference level associated with the two financial plans is $__?
                    (Round to the nearest dollar)

Explanation / Answer

EPS is same ;

EPS = (EBIT - Interest - Taxes)/shares

Taxes = 0.34*EBT = 0.34*(EBIT - Interest) ;

So

EPS = 0.66*(EBIT - Interest)/shares ;

Interest in Plan B = 1.1 million *11.6/100 = $ 0.1276 million = $127600

EPS(A) = EPS(B)

0.66* (EBIT)/84000 = 0.66*(EBIT - 127600)/42000

EBIT = 2*EBIT - 255200

EBIT = $ 255200 = $0.2552 million