In: Finance
Lockheed Martin Inc. a U.S. defense contractor producing ballistic missile defense systems, distributed dividends of $10 per share in 2019 on earnings per share of $15 per share. The book value of equity per share was $200, and earnings are expected to grow at a constant rate of 1% a year forever. The stock has an unlevered beta of 1.00, a debt to equity (D/E) ratio of 40%, and is currently trading at $150 per share. The current risk free rate is 1% and the implied equity risk premium is 5%. The corporate tax rate is 30%.
| a Levered beta of Lockheed Martin Inc. | 
| Levered beta=Unlevered beta*(1+((1-Tax rate)*Debt/equity))) | 
| ie.1*(1+((1-30%)*40%))) | 
| 1.28 | 
| (Answer) | 
| b.Cost of equity of Lockheed Martin Inc. | 
| as per CAPM, ke=RFR+(Beta*Market risk premium) | 
| ie.1%+(1.28*5%)= | 
| 7.40% | 
| (Answer) | 
| c.Estimate of fair price based on the above | 
| we need to know the growth rate of dividends, to calculate the fair price ,ie. Intrinsic value per equity share--- | 
| Growth rate, g =Return on equity*Retention Ratio | 
| From the given details, we can calculate g, as | 
| g=(EPS/Book value Share)*((EPS-Dividends)/EPS) | 
| ie.(15/200)*((15-10)/15) | 
| 7.50%*33.33% | 
| 2.50% | 
| Now, the fair price of the share | 
| as per Gordon's constant growth of dividend cash flows, model | 
| P0=D1/(r-g) | 
| ie. (10*1.025)/(7.40%-2.50%)= | 
| 209.18 | 
| So the | 
| Fair Price/Book Value ratio= | 
| 209.18/200= | 
| 1.0459 | 
| (Answer) | 
| d.Dividend per share($) Lockheed Martin Inc. should distribute to shareholders to justify the Price/Book Value ratio at which the firm is currently selling for, ie. $ 150 | 
| next dividend per share to be distributed is | 
| 7.40%=(d1/150)+2.50% | 
| D1= $ 7.35 (Answer) |