Math Problem Statement
,
Inc., is an all-equity firm with assets worth
$ 50.00$50.00
billion and
23.80523.805
billion shares outstanding.
RallyRally
plans to borrow
$ 12.50$12.50
billion and use funds to repurchase shares.
RallyRally's
corporate tax rate is
21 %21%,
and
RallyRally
plans to keep its outstanding debt equal to
$ 12.50$12.50
billion permanently.
a. Without the increase in leverage, what would be
RallyRally's
share price?
b. Suppose
RallyRally
offers
$ 2.06$2.06
per share to repurchase its shares. Would shareholders sell for this price?
c. Suppose
RallyRally
offers
$ 2.43$2.43
per share, and shareholders tender their shares at this price. What will be
RallyRally's
share price after the repurchase?
d. What is the lowest price
RallyRally
can offer and have shareholders tender their shares? What will be its stock price after the share repurchase in that case?
Question content area bottom
Part 1
a. Without the increase in leverage, what would be
RallyRally's
share price?
Without the increase in leverage,
RallyRally's
share price is
$enter your response here.
(Round to the nearest cent.)
Solution
Part 1: Share Price Without Leverage
a. To find the share price without the increase in leverage, we can simply divide the value of the firm's assets by the number of shares outstanding.
- Value of assets = $50 billion
- Number of shares outstanding = 23.805 billion
The formula for the share price is:
Let's calculate that:
So, without the increase in leverage, Rally's share price is $2.10.
Would you like me to continue with part b? Let me know if you want more details on any of the steps above.
5 Follow-up Questions:
- What impact does leverage have on share price in general?
- How does repurchasing shares typically affect a company’s financial metrics?
- What are the benefits of maintaining permanent debt?
- How does the corporate tax rate influence debt and equity decisions?
- What might happen to stock prices if the repurchase offer is too low?
Tip:
A share repurchase can sometimes signal to investors that the company believes its stock is undervalued, which may result in a stock price increase after the repurchase.
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Math Problem Analysis
Mathematical Concepts
Corporate Finance
Stock Repurchase
Debt-Equity Valuation
Leverage
Formulas
Share Price = Value of Assets / Number of Shares Outstanding
Debt Impact on Share Price
Share Repurchase Valuation Formula
Theorems
Modigliani-Miller Theorem
Debt Valuation Theorem
Suitable Grade Level
Undergraduate (Finance and Economics)
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