Question

Assume you have just been hired as a business manager of Bernie’s Pizza Plaza a regional pizza restaurant chain. The company’s EBIT was $125 million last year and is not expected to grow. The firm is currently financed with all equity and it has 10 million shares outstanding. When you took your corporate finance course, your instructor stated that most firm’s owners would be financially better off if the firms used some debt. When you suggested this to your new boss, he encouraged you to pursue the idea. As a first step, assume that you obtained from the firm’s investment banker the following estimated costs of debt for the firm at different capital structures:

                                                   % Financed With Debt            r_d           

                                                               0%                              ---      

                                                              20                                 8.25%     

                                                              40                                 8.85      

                                                              60                                 11.4      

                                                              80                                 14.2      

If the company were to recapitalize, debt would be issued, and the funds received would be used to repurchase stock. Bernie’s is in the 25 percent state-plus-federal corporate tax bracket, its unlevered beta is 1.25, the risk-free rate is 4 percent, and the market risk premium is 6 percent.

a.   For each capital structure under consideration, calculate the levered beta, the cost of equity, and the WACC.

b.   Now calculate the corporate value for each capital structure.

c. Compute the value of the firms’ stock.

Show all work for answers!****

Answer 1

All the answers are shown in table below; Please feel free share your feedback or any clarification. Al the best.

Mkt Debt-Value Ratio (D)	Mkt Equity- Value Ratio €	Mkt Debt-Equity ratio (D/E)	Befor Tax Cost of Debt	Unleaver Beta	Levered Beta =Unlevrd Beta *[1 +(D/E)* (1-Tx)]	Risk Free rate(Rf)	Mkt Premium (Rm)	ROE = Rf + Beta X Rm	Tax Rate (Tx)	WACC	EBIT(in Million $)	EBIT(1-Tax)	Corporate Value = EBIT(1-Tx) / WACC	Value of Firm Stock = Corporae Value X Equity Proportion (in M$ milion)	No of Shares (I Million)	Value / Stock = Equity Value / Number of Stock [ $/ share]
0	1	0.00	0.00%	1.25	1.25	4.00%	6.00%	11.500%	25%	11.50%	125	93.75	815.22	815.22	10	81.52
0.2	0.8	0.25	8.25%	1.25	1.48	4.00%	6.00%	12.91%		11.56%	125	93.75	810.81	648.65	10	64.86
0.4	0.6	0.67	8.85%	1.25	1.88	4.00%	6.00%	15.25%		11.81%	125	93.75	794.16	476.49	10	47.65
0.6	0.4	1.50	11.20%	1.25	2.66	4.00%	6.00%	19.94%		13.02%	125	93.75	720.32	288.13	10	28.81
0.8	0.2	4.00	14.20%	1.25	5.00	4.00%	6.00%	34.00%		15.32%	125	93.75	611.95	122.39	10	12.24
WACC = Mkt Debt-Value Ratio x Cost of debtx ( 1- Tax) + Mkt Equity -Value Ratio x ROE