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Solution to Derivatives Markets: for Exam Fm

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Solution to Derivatives Markets: for Exam FM
Yufeng Guo June 24, 2007

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c °Yufeng Guo

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Contents
Introduction 1 Introduction to derivatives 2 Introduction to forwards and options vii 1 7 29 79 129 141

3 Insurance, collars, and other strategies 4 Introduction to risk management 5 Financial forwards and futures 8 Swaps

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CONTENTS

CONTENTS

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c °Yufeng Guo

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Preface
This is Guo’s solution to Derivatives Markets (2nd edition ISBN 0-321-28030X) for Exam FM. Unlike the official solution manual published by AddisonWesley, this solution manual provides solutions to both the even-numbered and odd-numbered problems for the chapters that are on the Exam FM syllabus. Problems that are out of …show more content…

The ski resort can use the gain from the futures to offset its loss in sales.

Problem 1.3. a. 100 × 41.05 + 20 = 4125 b. 100 × 40.95 − 20 = 4075 c. For each stock, you buy at $41.05 and sell it an instant later for $40.95. The total loss due to the ask-bid spread: 100 (41.05 − 40.95) = 10. In addition, you pay $20 twice. Your total transaction cost is 100 (41.05 − 40.95) + 2 (20) = 50 Problem 1.4. a. 100 × 41.05 + 100 × 41.05 × 0.003 = 4117. 315 b. 100 × 40.95 − 100 × 40.95 × 0.003 = 4082. 715 c. For each stock, you buy at $41.05 and sell it an instant later for $40.95. The total loss due to the ask-bid spread: 100 (41.05 − 40.95) = 10. In addition, your pay commission 100 × 41.05 × 0.003 + 100 × 40.95 × 0.003 = 24. 6. Your total transaction cost is 10 + 24. 6 = 34. 6 Problem 1.5. The market maker buys a security for $100 and sells it for $100.12. If the market maker buys 100 securities and immediately sells them, his profit is 100 (100.12 − 100) = 12 Problem 1.6. www.guo.coursehost.com c °Yufeng Guo 2

CHAPTER 1. INTRODUCTION TO DERIVATIVES Your sales proceeds: 300 (30.19) − 300 (30.19) (0.005) = 9011. 715 Your cost of buying 300 shares from the market to close your short position is: 300 (29.87) + 300 (29.87) (0.005) = 9005. 805 Your profit: 9011. 715 − 9005. 805 = 5. 91 Problem 1.7. a. Consider the bid-ask spread but ignore commission and interest. Your sales proceeds: 400

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