Part (1)
New Debt = Number of shares repurchased x Repurchase price = 600,000 x 50 = 30,000,000
interest rate = 10%
Hence, interest expense = 10% x 30,000,000 = 3,000,000
New proforma will be like this (Financials are in '000)
Financials | ('000P) |
Income before interest & taxes | 50,000 |
[-] Interest | 3,000 |
Earnings before taxes | 47,000 |
[-] Taxes at 40% | 18,800 |
Net Income | 28,200 |
Part 2)
Number of shares outstanding after the repurchase = 3,000,000 - 600,000 = 2,400,000
Book value of Equity before repurchase = Book value per share x number of shares = 50 x 3,000,000 = 150,000,000
Book value of Equity before repurchase = Book value per share x number of shares = 50 x 2,400,000 = 120,000,000
Please see the table below for EPS and ROE calculation before and after repurchase. Please note that financials are in ('000P) and number of shares are in ('000). Please be guided by the second column titled “Linkage” to understand the mathematics.
Parameters | Linkage | Before repurchase ('000P) | After repurchase ('000P) |
Income before interest & taxes | A | 50,000 | 50,000 |
[-] Interest | B | - | 3,000 |
Earnings before taxes | C = A - B | 50,000 | 47,000 |
[-] Taxes at 40% | D = C x 40% | 20,000 | 18,800 |
Net Income | E = C - D | 30,000 | 28,200 |
Book Value of equity | F | 150,000 | 120,000 |
Number of shares outstanding ('000) | G | 3,000 | 2,400 |
EPS | H = E / G | 10.00 | 11.75 |
ROE | I = E / F | 20.00% | 23.50% |
Both the parameters, EPS and ROE increase after share repurchase. Thus, long term debt financing will increase the EPS as well as ROE. Leverage with controlled limits, do help improve EPS as well as ROE.
Part (3)
Before adding long term debt:
After adding the long term debt:
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