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Derivatives & Risk Management                                    Dilfraz Singh, Lovely Professional University




                    Notes                  Unit 12: Risk Management with Derivatives I


                                     CONTENTS
                                     Objectives
                                     Introduction

                                     12.1 Hedging using Greeks (Delta-Gamma Hedging)
                                          12.1.1  Delta of an Option

                                          12.1.2  Option Gamma
                                          12.1.3  Option Vega
                                          12.1.4  Rho and Phi

                                     12.2 Hedging with Futures
                                     12.3 Strategies of Hedging

                                     12.4 Speculation and Arbitrage
                                          12.4.1  Speculation using Future Contracts
                                          12.4.2  Arbitrage using Futures

                                     12.5 Summary
                                     12.6 Keywords
                                     12.7 Review Questions

                                     12.8 Further Readings
                                  Objectives


                                  After studying this unit, you will be able to:
                                      Describe hedging using Greeks (Delta-Gamma hedging)

                                      Explain hedging with futures
                                      Describe strategies of hedging
                                      State the benefits of speculation and arbitrage in futures

                                  Introduction


                                  The dictionary meaning of risk is the possibility of loss or injury; the degree or probability of
                                  such loss. In risk, the probable outcomes of all the possible events are listed. Once the events are
                                  listed subjectively, the derived probabilities can be assigned to the entire possible events. For
                                  example, the investor can analyse and find out the possible range of returns from his investments.
                                  He can assign some subjective probability to his returns,  such as 50% of the time  there is a
                                  likelihood of getting ` 2 per share as dividend and 50 % of the time the possible dividend may
                                  be ` 3 per share. Often risk is inter-changeably used with uncertainty. In uncertainty, the possible
                                  events and probabilities of their occurrence are not known. Hence, risk  and uncertainty are
                                  different from each other.




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