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Chapter 3, Problem 18P
Summary Introduction

To determine: The current risk-free interest rate under no arbitrage opportunities.

Introduction:

Arbitrage pricing theory is an asset-pricing model.  No arbitrage is an arbitrage-free condition. Under this situation, all the assets are priced appropriately and there are no chances of one’s gain to overcome the market gains without facing any risks.

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Suppose the real risk-free rate is 3.00%, the average expected future inflation rate is 4.00%, and a maturity risk premium of 0.10% per year to maturity applies, i.e., MRP = 0.10%(t), where t is the years to maturity. What rate of return would you expect on a 1-year Treasury security, assuming the pure expectations theory is NOT valid? Include the cross-product term, i.e., if averaging is required, use the geometric average. (Round your final answer to 2 decimal places.)
Suppose the real risk-free rate is 4.20%, the average expected future inflation rate is 3.10%, and a maturity risk premium of 0.10% per year to maturity applies, i.e., MRP 0.10% (t), where t is the years to maturity, hence the pure expectations theory is NOT valid. What rate of return would you expect on a 4-year Treasury security? O 7.80% O 7.90% O 7.70% O 8.10% O 8.00%
A.Suppose the real risk-free rate is 3.00%, the average expected future inflation rate is 6.60%, and a maturity risk premium of 0.10% per year to maturity applies, i.e., MRP = 0.10%(t), where t is the number of years to maturity. What rate of return would you expect on a 1-year Treasury security, assuming the pure expectations theory is NOT valid? Disregard cross-product terms, i.e., if averaging is required, use the arithmetic average.   a. 9.70%   b. 9.12%   c. 8.83%   d. 8.54%   e. 7.47% B. Beranek Corp has $625,000 of assets (which equal total invested capital), and it uses no debt—it is financed only with common equity. The new CFO wants to employ enough debt to raise the total debt to total capital ratio to 40%, using the proceeds from borrowing to buy back common stock at its book value. How much must the firm borrow to achieve the target debt ratio?   a. $262,500   b. $202,500   c. $250,000   d. $195,000   e. $212,500

Chapter 3 Solutions

Corporate Finance Plus MyLab Finance with Pearson eText -- Access Card Package (4th Edition) (Berk, DeMarzo & Harford, The Corporate Finance Series)

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