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.

Question

Consider two securities that pay risk-free cash flows over the next two years and that have the current market prices shown here: Security Price Today Cash Flow in One Year Cash Flow in Two Years B1 $192 $200 0 B2 $176 0 $200 What is the no-arbitrage price of a security that pays cash flows of $200 in one year and $200 in two years? What is the no-arbitrage price of a security that pays cash flows of $200 in one year and $1600 in two years? Suppose a security with cash flows of $100 in one year and $200 in two years is trading for a price of $260. What arbitrage opportunity is available?

Answer 1

Question

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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Consider two securities that pay risk-free cash flows over the next two years and that have the current market prices shown here: Security Price Today Cash Flow in One Year Cash Flow in Two Years B1 $192 $200 0 B2 $176 0 $200 What is the no-arbitrage price of a security that pays cash flows of $200 in one year and $200 in two years? What is the no-arbitrage price of a security that pays cash flows of $200 in one year and $1600 in two years? Suppose a security with cash flows of $100 in one year and $200 in two years is trading for a price of $260. What arbitrage opportunity is available?

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