Math Problem Statement
You are an entrepreneur starting a biotechnology firm. If your research is successful, the technology can be sold for
$ 33$33
million. If your research is unsuccessful, it will be worth nothing. To fund your research, you need to raise
$ 3.8$3.8
million. Investors are willing to provide you with
$ 3.8$3.8
million in initial capital in exchange for
50 %50%
of the unlevered equity in the firm.
a. What is the total market value of the firm without leverage?
b.
Suppose you borrow
$ 0.4$0.4
million. According to MM, what fraction of the firm's equity will you need to sell to raise the additional
$ 3.4$3.4
million you need?
c. What is the value of your share of the firm's equity in cases
(a)
and
(b)?
Question content area bottom
Part 1
a. What is the total market value of the firm without leverage?
The market value without leverage is
$enter your response here
million. (Round to one decimal place.)
Part 2
b.
Suppose you borrow
$ 0.4$0.4
million. According to MM, what fraction of the firm's equity will you need to sell to raise the additional
$ 3.4$3.4
million you need?
The fraction of the firm's equity you will need to sell is
enter your response here%.
(Round to the nearest whole percentage.)
Part 3
c. What is the value of your share of the firm's equity in cases
(a)
and
(b)?
The value of your share of the firm's equity in case
(a)
is
$enter your response here
million. (Round to one decimal place.)
Part 4
The value of your share of the firm's equity in case
(b)
is
$enter your response here
million. (Round to one decimal place.)
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Market Value of Firm
Modigliani-Miller Theorem
Equity Financing
Leverage
Formulas
Total market value = Capital raised / Fraction of equity sold
Fraction of equity to sell = Additional equity needed / Total market value
Value of share = Share percentage × Total market value
Theorems
Modigliani-Miller Theorem
Suitable Grade Level
Undergraduate - Finance/Economics
Related Recommendation
Equity and Market Value Calculation for a Biotechnology Startup
Market Value of Equity after Share Repurchase at Motiwala Markets
Stock Price After Debt Issuance and Buyback in MM Model with Bankruptcy Costs
Valuation Using Free Cash Flow to Equity (FCFE) Model - Detailed Calculation
Calculate New Cost of Equity Using Modigliani-Miller Proposition II