Deluxe Corporation Case

For the purpose of calculating the net present value of the project, an appropriate cost of capital has to be calculated at which free cash flows of the project should be discounted. Since the project will be solely financed by selling new shares, cost of equity will be used as the discount rate. Beta for the company can be assumed to be equal to average of the betas of the competitors of the company. This average beta value comes out to be 1.2. Risk free rate is 0.17% while risk premium has been estimated to be 6%. Thus by putting these values in CAPM formula, we can find the cost of equity for the company which is 7.39%.

To relever the βe, we use the formula, βe = βu +(D/E)*(βu-βd). And the “Target D/E” was found by taking “Target D/V” divided by “1-Target D/V”. So we get the new βe, 1.3576. Then to get cost of equity, we use the CAPM formula, Re=Rf+β(EMRP), 11.7679%. Since we have get the cost of equity and cost of debt, we can determined the WACC, which is equal to Equity/Value*Cost of Equity+Debt/Value*Cost of Debt*(1-tax rate). In the end ,we arrived at 8.48%.

4) Using the stock price and return data in Exhibits 5 and 6, estimate the CAPM beta

We use Capital Asset Pricing Model (CAPM) approach to calculate the cost of equity. The formula of CAPM is re = rf + β × (E[RMkt] – rf).

Given that the cost of equity is 9.4% and the cost of debt is 12.2%, Star’s cost of capital can be calculated as 9.14% (Appendix B). The company was also considering raising the cost of debt to the industry average of 19%. At this cost of debt, Star Company would have a lower cost of capital of 8.24% (Appendix B) because interest on debt capital is deductible whereas dividend payments on equity capital are not.

The cost of equity was found using CAPM, with the given market risk premium of 5%, a beta of .88, and risk-free rate of 4.03%. The beta was found by running a regression of Southwest’s percent change in stock price versus the S&P 500’s percent change in stock price for two years (June 28, 2000 to June 28, 2002). The risk-free rate was the return on a ten-year treasury note issued on June 28, 2002, according to the U.S. Treasury’s website. The tax rate of 39% was used to account for tax savings from leverage. In order to calculate the firm’s leverage, the market value of equity was found from the price per share on July 24, 2002 (Yahoo Finance) and the shares outstanding on the balance sheet of the July 10-Q report, as shown in Exhibit X. The debt value was approximated at the book value since data could not be found regarding its market value. This analysis resulted in a debt weight of 11.74% and equity weight of 88.26%. The final approximation for the weighted average cost of capital was 8.64%.

Given these approximations, the CAPM model would total the risk-free rate and the market risk premium times beta to arrive at a cost of equity of 9.68%, which reflects the investors’ expected return from investing in shares of the company.

This represents a 7% increase in stock price. Further, the additional leverage and return of excess cash to shareholders will significantly increase ROE. If the market determines that an 80% debt capital structure is feasible for BBBY, then we will expect further capital gains as investors applaud shareholder friendly policies and re-examine EPS estimates. However, if top line growth and same store sales growth continue to trend downward, investors may become skeptical of BBBY management’s ability to continue generating over 30% EPS growth, and thus question the ability of the company to service its debt in the future.

An analysis of a repurchase of stock for $400 million cash, and recapitalization to 80% debt-to-total capital by borrowing $1.27 million reveals that BBBYs return on equity will be 113%, return on assets 61% and an after tax cost of debt of 28%. ROE is > ROA and ROA > after tax cost of debt. With the 80% debt-to-total capital structure ROE exceeds the other two capital structure scenarios of no debt and 40% debt-to-total capital. While all of this looks great there are other considerations. The household and personal products industries debt to total asset ratio is 34.69% while BBBY debt to total asset ratio is at 44% ($1,270,000/$2,865,023). Increasing to this capital structure would also reduce shareholders earnings per share.

To find the cost of equity we used the formula rs = rRF + beta*MRP in which rRF2002 = 5.86% and the Market Risk Premium (MRP) = 5% as calculated by the Southwest Airlines finance department. We then calculated the beta for Southwest Airlines based on a regression analysis of five-year monthly returns on Southwest stock from January 1997 to January 2002, compared with the S&P 500 returns over the same period. This regression analysis indicated that Beta = .2219. Therefore,

Please refer to Appendix 2 for other considerations for cost of equity calculations. Most firms use the Capital Asset Pricing Model (CAPM) to determine the cost of equity. The components that make up the CAPM include: the risk free rate, the beta of the security, and the expected market return of the stock. These values are all based on forward-looking data. The model dictates that shareholders require a return equal to the return from a risk-free investment plus an equity risk premium for bearing extra risk. Refer to Appendix 1 for a full breakdown of the CAPM formula.

First, a large share repurchase will significantly increase shareholders’ percentage ownership of BKI. BKI has been under levered for decades. The company acquisitions of several small manufacturers made shareholders’ equity be diluted even more. In other words, shareholders, especially the main shareholders in Blaine’s board, are paying for BKI’s over-liquidity. This share repurchase will not only give the board more flexibility to allot dividends, but will lead to a stable development of BKI’s business in the long run.

* Please choose either the CAPM estimate or the DDM estimate for cost of equity based on your answer to Question 3.

3. Calculate the cost of equity capital using the CAPM, assuming a market risk premium of 5%.

We use the Capital Asset Pricing Model (CAPM) to determine the cost of equity. As