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Intermediate Financial Management (with Thomson One)

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Recall from Chapter 11 that the value of equity is the total corporate value<br />

minus the value of all debt. Therefore, the value of equity after the debt issue but<br />

prior to the repurchase, S P , is<br />

SP = Value of equity after the debt issue but prior to the repurchase<br />

= Total corporate value Value of all debt<br />

$311,111 $88,889 $222,222<br />

Although the corporate valuation model will always provide the correct value,<br />

there is a quicker and more intuitive way to determine S p in a recapitalization. S p<br />

reflects the wealth of the shareholders under the new capital structure, and, as we<br />

noted earlier, this is equal to the value of their equity after completion of the<br />

recapitalization plus the cash they receive in the repurchase. If all newly issued<br />

debt is used to repurchase stock, then that amount is D D 0 . Therefore, S p is<br />

S p S (D D 0 )<br />

$133,333 ($88,889 $0) $222,222<br />

This is exactly the same value as calculated above, but it can be computed <strong>with</strong><br />

fewer steps and is perhaps a little more intuitive.<br />

The price per share after issuing debt but prior to repurchasing stock, P p , is<br />

P p Price per share after debt issue but prior to repurchase<br />

Value of equity after debt issue but prior to repurchase<br />

<br />

Number of shares outstanding prior to repurchase<br />

S p /n 0<br />

$222,222/10,000 $22.22<br />

Strasburg Repurchases Stock What happens to the stock price during the<br />

repurchase? The short answer is “nothing.” It is true that the additional debt will<br />

change the WACC and the stock price prior to the repurchase, but the subsequent<br />

repurchase itself will not affect the stock price. 23 To see why this is true, suppose<br />

the stock price was lower right before the repurchase than after the repurchase. If<br />

this were true, it would be possible for an investor to buy the stock the day before<br />

the repurchase and then reap a reward the very next day. Current stockholders<br />

would realize this and would refuse to sell the stock unless they were paid the<br />

price that is expected immediately after the repurchase.<br />

23 As we discuss in Chapter 17, a stock repurchase may be a signal of a company’s future prospects, or it may be the way<br />

a company “announces” a change in capital structure, and either of those situations could have an impact on estimated<br />

free cash flows or WACC. However, neither situation applies to Strasburg.<br />

Chapter 15 Capital Structure Decisions: Part I • 537

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