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palgrave

macmillan

International Financial Operations

Arbitrage, Hedging, Speculation, Financing and Investment

Imad a. Moosa

International Financial Operations

Arbitrage, Hedging, Speculation, Financing and Investment

Imad a. Moosa

palgrave

macmillan

© Imad A. Moosa 2003

All rights reserved. No reproduction, copy or transmission of this publication may be made without written permission.

No paragraph of this publication may be reproduced, copied or transmitted save with written permission or in accordance with the provisions of the Copyright, Designs and Patents Act 1988, or under the terms of any licence permitting limited copying issued by the Copyright Licensing Agency, 90 Tottenham Court Road, London W1T 4LP.

Any person who does any unauthorised act in relation to this publication may be liable to criminal prosecution and civil claims for damages.

The author has asserted his right to be identified as the author of this work in accordance with the Copyright, Designs and Patents Act 1988.

First published 2003 by PALGRAVE MACMILLAN

Houndmills, Basingstoke, Hampshire RG21 6XS and 175 Fifth Avenue, New York, N. Y. 10010 Companies and representatives throughout the world

PALGRAVE MACMILLAN is the global academic imprint of the Palgrave Macmillan division of St. Martin's Press, LLC and of Palgrave Macmillan Ltd. Macmillan® is a registered trademark in the United States, United Kingdom and other countries. Palgrave is a registered trademark in the European Union and other countries.

ISBN 0-333-99859-6 hardback

This book is printed on paper suitable for recycling and made from fully managed and sustained forest sources.

A catalogue record for this book is available from the British Library.

A catalog record for this book is available from the Library of Congress.

10 987654321 12 11 10 09 08 07 06 05 04 03

Printed and bound in Great Britain by Antony Rowe Ltd, Chippenham and Eastbourne

To Nisreen and Danny

palgrave 1

palgrave 2

i 19

i 23

CHAPTER 3 44

Other Kinds of Arbitrage and Some Extensions 46

3.1 COMMODITY ARBITRAGE 46

Py ,t+ 1/Py ,t 55

3.2 ARBITRAGE UNDER THE GOLD STANDARD 61

3.3 ARBITRAGE BETWEEN EUROCURRENCY AND DOMESTIC INTEREST RATES 63

3.4 EUROCURRENCY-EUROBOND ARBITRAGE 74

3.5 ARBITRAGE BETWEEN CURRENCY FUTURES AND FORWARD CONTRACTS 52

3.6 REAL INTEREST ARBITRAGE 54

3.7 UNCOVERED ARBITRAGE WHEN THE CROSS RATES ARE STABLE 55

3.8 UNCOVERED INTEREST ARBITRAGE WHEN THE BASE CURRENCY IS PEGGED TO A BASKET 57

^ ^ 1=1 »j ^ j=1 and 57

E1= S 0 - S j (3.40) 57

3.9 MISCONCEPTIONS ABOUT ARBITRAGE 83

CHAPTER 4 65

Hedging Exposure to Foreign Exchange Risk: The Basic Concepts 65

4.1 DEFINITION AND MEASUREMENT OF FOREIGN EXCHANGE RISK 65

4.2 VALUE AT RISK 69

4.3 DEFINITION AND MEASUREMENT OF EXPOSURE TO FOREIGN EXCHANGE RISK 74

4.4 TRANSACTION EXPOSURE 82

4.5 ECONOMIC AND OPERATING EXPOSURE 84

4.6 A FORMAL TREATMENT OF OPERATING EXPOSURE 95

dQ_py_ dPy Q 102

4.7 TRANSLATION EXPOSURE 123

Financial and Operational Hedging of Exposure to Foreign Exchange Risk 105

Fb,t - Sb,t 123

p - K(Fa,t - Sb,t+ 1 ) 133

Measuring the Hedge Ratio 158

, s(DPu,t, DPA,t If t-1) ,t t . 164

h = ^ ^ r" = P(X 1,t , X 2 ,t ) 164

s 2(DP A,t|f t-1 ) 164

DP u,t = t-1 + Z ai DP U,t-i +Z bi dPa ,t-i +x 1,t (6.33) 186

DP A,t =-bft-1 + Z ci DP U,t-i +Z d i DP A,t - i +X 2 ,t (6.34) 186

s(DPU,t, DPA,t If t-1, DPU,t-i, DPA,t-i) 186

s2 (APA,t If t-1' APU,t-i ' APA,t-i ) (6 35) 186

I,t ' X 2,t ) / s(X i,t ) ^ 186

= P(X 1't ' X 2 ,t ) 186

_ P(X 1,t , X 2 ,t)s(X 1,t)s(X 2 ,t) -2 (f t-11 AP U,t-i, APA,t-i) 187

s2 (X2 ,t ) + b2 s 2 (f t-11 APU,t-i, APA,t-i ) 187

Speculation in the Spot and Currency Derivative Markets 184

Sb,t 198

Sb,t 1 + m 198

Sb,t 1 + E(mt+1) 199

E( Sb,t+1 ), S 200

if the position in x is available. If the funds have to be borrowed, the condition changes to 201

Speculation: Generating Buy and 209

Sell Signals 209

St = f (Xt) 257

where the vector of variables varies according to the underlying fundamental model. The current level of the exchange rate may deviate from the equilib­rium level because of the effect of random shocks that tend to have a tempo­rary effect. Hence the current level of the exchange rate may be represented by 258

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