Math Problem Statement

(The following information applies to questions 1 through 6.) Consider Rhye, amid-size pharmaceutical company. Rhye’s equity has a book value of $2.8 billion and a market value of $19.4 billion. Rhye’s debt, on the other hand, has a book value of $500 million and a market value of $600 million; the debt’s annual interest rate and yield to maturity are 6% and 5%, respectively. Currently, Rhye has a beta of 1.2 and faces a corporate tax rate of 35%. Also currently, the yield to maturity on 10-year U.S. Treasury Notes is 2.5%. The market risk premium remains around its historical average of 5.5%.

Solution

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Math Problem Analysis

Mathematical Concepts

Corporate Finance
Cost of Capital
Weighted Average Cost of Capital (WACC)
Capital Asset Pricing Model (CAPM)

Formulas

WACC = (E/V) * r_e + (D/V) * r_d * (1 - T)
r_e = r_f + β * MRP
E/V = Market Value of Equity / (Market Value of Equity + Market Value of Debt)
D/V = Market Value of Debt / (Market Value of Equity + Market Value of Debt)

Theorems

Capital Asset Pricing Model (CAPM)
Weighted Average Cost of Capital (WACC)

Suitable Grade Level

College/University Level (Corporate Finance)