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WORKING PAPER NO. 184

EFFICIENT PRICING OF

LARGE VALUE INTERBANK

PAYMENT SYSTEMS

BY CORNELIA HOLTHAUSEN

AND JEAN-CHARLES ROCHET

October 2002

E U R O P E A N C E N T R A L B A N K

WORKING PAPER SERIES

CORE Metadata, citation and similar papers at core.ac.uk

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WORKING PAPER NO. 184

EFFICIENT PRICING OF

LARGE VALUE INTERBANK

PAYMENT SYSTEMS

1

BY CORNELIA HOLTHAUSEN

2

AND JEAN-CHARLES ROCHET

3

October 2002

1 We are grateful to Charles Goodhart, Diana Hancock, Tom Kokkola, Jamie McAndrews, Dieter Reichwein, Juha Tarkka, and seminar participants at Toulouse University, the Bank of England, the European Central Bank, the Danish National Bank, the Finnish Central Bank,

E U R O P E A N C E N T R A L B A N K

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© European Central Bank, 2002

Address Kaiserstrasse 29

D-60311 Frankfurt am Main Germany

Postal address Postfach 16 03 19

D-60066 Frankfurt am Main Germany Telephone +49 69 1344 0 Internet http://www.ecb.int Fax +49 69 1344 6000 Telex 411 144 ecb d

All rights reserved.

Reproduction for educational and non-commercial purposes is permitted provided that the source is acknowledged. The views expressed in this paper do not necessarily reflect those of the European Central Bank.

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Contents

Abstract 4

Non-technical summary 5

1 Introduction 7

2 The model 9

3 Optimal pricing for a monopoly LVPS 11

3.1 Discrete distribution of types 11

3.2 Continuous distribution of types 13

4 Optimal pricing in a mixed duopoly 15

5 Competition between national RTGSs 19

5.1 Efficient pricing with by-passing 20

5.2 By-passing is deterred 21

6 Concluding remarks 23

Appendix: proofs 24

References 29

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