In: Finance
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RAK, Inc., has no debt outstanding and a total market value of $200,000. Earnings before interest and taxes, EBIT, are projected to be $26,000 if economic conditions are normal. If there is strong expansion in the economy, then EBIT will be 12 percent higher. If there is a recession, then EBIT will be 25 percent lower. RAK is considering a $65,000 debt issue with an interest rate of 6 percent. The proceeds will be used to repurchase shares of stock. There are currently 10,000 shares outstanding. Ignore taxes for this problem. |
| a-1 |
Calculate earnings per share (EPS) under each of the three economic scenarios before any debt is issued. (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) |
| EPS | ||
| Recession | $ | |
| Normal | $ | |
| Expansion | $ | |
| a-2 |
Calculate the percentage changes in EPS when the economy expands or enters a recession. (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) |
| Percentage changes in EPS | ||
| Recession | % | |
| Expansion | % | |
| b-1 |
Calculate earnings per share (EPS) under each of the three economic scenarios assuming the company goes through with recapitalization. (Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) |
| EPS | ||
| Recession | $ | |
| Normal | $ | |
| Expansion | $ | |
| b-2 |
Given the recapitalization, calculate the percentage changes in EPS when the economy expands or enters a recession. (Negative amounts should be indicated by a minus sign. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) |
| Percentage changes in EPS | ||
| Recession | % | |
| Expansion | % | |
| Given, | |||||
| Market Value of RAK Inc = $200000 | |||||
| No of Shares Outstanding = 10000 | |||||
| Normal EBIT = $26000 | |||||
| EBIT at Expansion = Normal EBIT + 12% | |||||
| =$26000 + 12% | |||||
| =$29120 | |||||
| EBIT at Recession = Normal EBIT - 25% | |||||
| =$26000 - 25% | |||||
| =$19500 | |||||
| Value of Debt Issue = $65000 | |||||
| Interest Rate of Debt = 6% | |||||
| Therefore, we need first calculate following | |||||
| Market Price Per Share | |||||
| = Market Value of RAK Inc / No of Shares Outstanding | |||||
| = $200000 / 10000 | |||||
| = $20 | |||||
| Interest on Debt = Value of Debt * Interest Rate of Debt | |||||
| = $65000 * 6% | |||||
| = $3900 | |||||
| No of Shares Repurchased | |||||
| = Value of Debt used for Repurchase of Shares / Market Price Per Share | |||||
| = $65000 / $20 | |||||
| = 3250 Shares | |||||
| No of Shares Outstanding after recapitalization | |||||
| = No of Shares Outstanding before recapitalization - No of Shares repurchased | |||||
| = 10000 - 3250 | |||||
| = 6750 | |||||
| Now, | |||||
| a) 1 | Calculation of EPS before any Debt is Issued | ||||
| Particulars | Recession | Normal | Expansion | ||
| A. | EBIT | 19500 | 26000 | 29120 | |
| B. | No of Shares Outstanding | 10000 | 10000 | 10000 | |
| C. | EPS (A / B) | 1.95 | 2.60 | 2.91 | |
| a) 2 | Calculation of % Changes in EPS | ||||
| % Changes in EPS for Recession | |||||
| = [(EPS of Recession - EPS of Normal) / EPS of Normal]*100 | |||||
| =[(1.95 - 2.60) / 2.60] *100 | |||||
| = -0.65 / 2.60 *100 | |||||
| = - 25% | |||||
| % Changes in EPS for Expansion | |||||
| = [(EPS of Expansion - EPS of Normal) / EPS of Normal]*100 | |||||
| =[(2.91 - 2.60) / 2.60] *100 | |||||
| = 0.31 / 2.60 *100 | |||||
| = 11.92% | |||||
| b) 1 | Calculation of EPS after any Debt is Issued | ||||
| Particulars | Recession | Normal | Expansion | ||
| A. | EBIT | 19500 | 26000 | 29120 | |
| B. | Interest | 3900 | 3900 | 3900 | |
| C. | Earnings After Interest (A-B) | 15600 | 22100 | 25220 | |
| D. | No of Shares Outstanding | 6750 | 6750 | 6750 | |
| E. | EPS (C / D) | 2.31 | 3.27 | 3.74 | |
| b) 2 | Calculation of % Changes in EPS | ||||
| % Changes in EPS for Recession | |||||
| = [(EPS of Recession - EPS of Normal) / EPS of Normal]*100 | |||||
| =[(2.31 - 3.27) / 3.27] *100 | |||||
| = -0.96 / 3.27 *100 | |||||
| = - 29.36% | |||||
| % Changes in EPS for Expansion | |||||
| = [(EPS of Expansion - EPS of Normal) / EPS of Normal]*100 | |||||
| =[(3.74 - 3.27) / 3.27] *100 | |||||
| = 0.47 / 3.27 *100 | |||||
| = 14.37% |
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percent. The proceeds will be used to repurchase shares of stock....
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