THE LIBOR RATE AND THE FINANCIAL CRISIS: THE LIBOR RATE AND THE FINANCIAL CRISIS: HAS THE LIBOR RATE BEEN MANIPULATED?HAS THE LIBOR RATE BEEN MANIPULATED?

Lyon, 26 Feb. 2010Lyon, 26 Feb. 2010Research Seminar in Economics and finance Research Seminar in Economics and finance

Alexandre Hartheiser Alexandre Hartheiser Philippe SpieserPhilippe Spieser

ESCP EUROPEESCP EUROPE

I. Presentation of the paper(work in progress…)

The Libor, which is a rate of high importance in the financial world, was highly discussed during the climax of the crisis.

The paper is an attempt to answer to academic and practitioners who suspected the Libor being “manipulated”.

This contribution is more an inquiry, based an different techniques and which deserves further investigations

Consequently, the “methodology” uses different approaches: distortions with financial theory, econometric model, factorial analysis.

I I. Literature

Very few contribution on that topics

LIBOR Manipulation :

Rosa Abrantes-Metz, M.Kraten, Albert D. Metz, G.Seow LECG, LLC; Leonard N. Stern School of Business - Department of EconomicsSuffolk University - Sawyer School of ManagementMoody's Investors ServiceUniversity of Connecticut - School of Business Working Paper Series, August 2008 2008

Poskitt,R.: The stigma hypothesis: strategic quote behavior in the Libor Fixing, Journal of International Financial Markets, Institutions and Money, December 2008, 399-412.

Gyntelberg, J. and Wooldridge, P. Interbank rate fixing during the recent turmoil. BIS Quaterly Review, March 2008

III. Suspicion of manipulation The Libor is regarded as undervalued referring to the cost of risk during

the first 3 months of 2008 : Banks would have provided inexact quotations regarding their true financing cost.

Numerous specific clues :

Libor evolves under the risk free rate of the Federal Reserve (10 bp below during the first week of April).Yet, a bank should not pay a rate above Libor to borrow from the FED.

Deposit rates €/$ at FED are above the Libor, a situation which is abnormal and cannot last.

Libor USD 3 months increases by 20 bp after the launching of an inquiry from the BBA (on the 16th April 2008) regarding the “fairness” of the Libor determination .

We are led to distinguish 4 subperiods in the whole period between 1/2005 and 11/2008

I I I. Libor during the crisis: a strange behavior compared with other

referencies The spread between Libor and other close reference rates (OIS, TB,

Fed Funds, Repo…) has widen dramatically since mid-2007, a phenomenon can be easily explained by the “liquidity gap” :

Banks refuse to lend to each other.

Spread Libor 3M contre Swap OIS 3M

0,00

0,50

1,00

1,50

2,00

20-Dec-04 8-Jul-05 24-Jan-06 12-Aug-06 28-Feb-07 16-Sep-07 3-Apr-08

1

2

3

4

5

6

20/1

2/04

20/0

2/05

20/0

4/05

20/0

6/05

20/0

8/05

20/1

0/05

20/1

2/05

20/0

2/06

20/0

4/06

20/0

6/06

20/0

8/06

20/1

0/06

20/1

2/06

20/0

2/07

20/0

4/07

20/0

6/07

20/0

8/07

20/1

0/07

20/1

2/07

20/0

2/08

20/0

4/08

20/0

6/08

20/0

8/08

%

Libor USD 3M

OIS 3M

I V. Why a fake fixing ?

Libor quotes being public, any quote showing a high level of Libor might be interpreted as an urgent need for financing (the bank will borrow at a high cost).

The crisis had made most banks in position of borrowing and any high fixing would made its liquidity cost more expensive.

The trouble is that the fixed libor hasn’t been actually practiced in the market (banks used to add a spread during this period).

Consequently, banks have searched to push down the rate to borrow, but with a upwards bias to lend.

As a result, the effective rate was 20 to 30bp above were it should have been between January to April 2008.

V. A first measure of distorsion : Libor and the covered interest change parity (with GBP and EUR)

Libor USD 3M = (1 + Libor GBP 3 months) * Fwd rate 3M USD-GBP – 1

Spot GBP-USD

A large deviation vis-à-vis the law is to be observedDaily Spread: Fixing Libor USD 3M – Theoretical Libor Daily Spread: Fixing Libor USD 3M – Theoretical Libor

estimated by Interest Rate Covered Parity with EURO estimated by Interest Rate Covered Parity with GBP

-3

-2

-1

0

1

2

3

04/04

/06

04/06

/06

04/08

/06

04/10

/06

04/12

/06

04/02

/07

04/04

/07

04/06

/07

04/08

/07

04/10

/07

04/12

/07

04/02

/08

04/04

/08

04/06

/08

04/08

/08

%

-3

-2

-1

0

1

2

3%

VI. Towards a reconstructed Libor

We compared first Libor with rates that were historically close to it : T Bills, Fed Funds

We then built an econometric model by adding a measure of risk

VI a. Libor and Treasury Bills An strong historical correlation till the crisis which actually began at the mid

August 2007 The spread might be regarded as an estimator for the crisis intensity. Stress factors clearly identified by obeserving the peaks and shocks of the

spreads: AIG / BNP Paribas ; BBA’s inquiry ; Lehman bankruptcy…

0

0,5

1

1,5

2

2,5

3

3,5

4

4,5

5 Spread Libor 3M - Treasury Bill 3M

VI b. Libor and Effective Fed Fund Rates

A good measure for deposit rate is given by the effective fed funds rates. Again we can observe a clear incoherence with the Libor’s behavior after August 2007 and especially during the three first months of 2008 (since Libor went below it).

-0,5

0

0,5

1

1,5

2

2,5

3

3,5

4

4,5Spread Libor USD 1M - Effective Funds Effective rate

VI c. Estimation of a theoretical Libor: Econometric model

The model is : Li = β1 * T-Bill + β2 * Risk factor

We tested all possible models : T bills, but also EFFR and Repo rates As a Risk factor, two variables retained : average of CDS Spreads at day i -1

and average of the volatility of Put ATM on the panel at day i -1

All rates were very good regression variables (see results)

The coefficients βi are nevertheless statistically unstable after August 2007

The regression coefficient become even negative during the last periods under review, which is economically absurd unless ther is a suspicion of mispricing

VI c. Estimation of a theoretical Libor (cont.) :

•As a result of a model backtesting , we observe huge spreads with the official or real Libor;•Those spreads are significantly important and Libor fluctuates in unexpected proportions. The critics against a too low rate since beginning 2008 seem justified. •But it is also obvious that according to the model, the Libor could have been even too high since March 2007 till January 2008, i.e. a time period which spreads before the subprime crisis burst out and the beginning of the peak itself. • We also notice the effects of BBA announcement (16 April) and the Lehman’s bankruptcy

0

1

2

3

4

5

6

7

8Libor 3M USD

Theorical Libor 3M USD from model with CDS

0

1

2

3

4

5

6

7

8

9Libor 3M USD

Theorical Libor 3M USD from model with Vol put ATM

VII. Going further : study of individual

quotations We are convinced that econometric measures are not

sufficient due for example to a difficult comparison of rates at different maturities : Non linearity of the risk in time Supplementary liquidity risk premium for CDS contracts.

We try to identify a “cartel”, if any …

The study of individual quotations is hence necessary.

VII a. Inquiry of the individual quotations Analysis of the decision rate table

The global decision rate (i.e. the number of times they actually participate to the panel) drops from the « calm » period (86%) to the crisis periods ( between 68% after April 2008 and 77% during period 2)

0

0,01

0,02

0,03

0,04

0,05

0,06

0,07

0,08

0,09

0,1

0

0,05

0,1

0,15

0,2

0,25

0,3

0,35

0,4

0,45%

Variation coef. on Libor quotes Absolute variations on Libor fixing

VII b. Inquiry of the individual quotations

Through the correlation analysis between the path of the spreads of each bank‘s CDS, which gives information on its default risk and the evolution of its quotation proposal, we try to detect the illogical behavior of certain banks and a possible cartel ( at least 5 associated banks)

-1,1

-0,6

-0,1

0,4

0,9

%Spread Max [Libor USD 3M - individual quote]

Spread Min [Libor USD 3M - individual quote]

VII b. Inquiry of the individual quotations (cont.)

Practically we analyzed the correlation between: - The spread of the previous day less the average of the CDS

the previous day;- the spread i.e. the day fixing less the proposed quotation

for each bank. A bank seeking to send a fake signal will show logically a negative

correlation between those two measures. BoA, RBS, HBOS, Citi and UBS did not submit logical quotes during the

crisis (period preceding the BBA warning and the post Lehman time).

Spreads : Cotation individuelle - Fixing

-1,1

-0,6

-0,1

0,4

0,9Citi BOA

Bank of tokyo Barclays

Credit Suisse Deutsch Bank

HBOS HSBC

JPM Lloyds TSB

Norinchukin rabobank

RBC RBS

UBS WEST LB

Spreads de CDS Senior 5 ans

0,00

100,00

200,00

300,00

400,00

500,00

600,00

700,00

Citi

BOA

Bank of tokyo

Barclays

Credit Suisse

Deutsch Bank

HBOS

HSBC

JP MORGAN CHASE

Lloyds TSB

Norinchukin Bank

rabobank

royal bank of canada

royal bank of scotland

UBS

WEST LB

VII b. Inquiry of the individual quotations (correlation matrix)

Spread Daily

Fixing - Individual Quotation

Period 2 Spread : CDS - Average of CDS

  Citi BOABank of Tokyo Barclays

Credit Suisse

Deutsch Bk HBOS HSBC

JP MORG Lloyds RBS UBS HBOS

Norinchukin

WEST LB

Citi -0,22 0,00 0,02 0,22 -0,19 -0,02 0,21 -0,05 0,14 0,11 -0,14 -0,18 0,14 -0,19 -0,15

BOA 0,10 -0,18 0,05 -0,01 0,20 0,10 -0,14 -0,12 -0,08 -0,06 0,15 0,24 -0,14 0,25 0,01

Bk Tokyo -0,36 0,27 0,17 0,12 -0,34 -0,07 -0,11 0,15 0,37 0,16 -0,25 -0,39 0,33 -0,21 0,03

Barclays -0,02 0,12 0,34 -0,02 -0,15 -0,25 -0,23 0,18 0,06 -0,13 -0,06 -0,07 0,02 0,11 0,20

CS 0,26 -0,20 0,28 -0,25 0,06 -0,30 -0,09 -0,17 -0,26 -0,20 0,13 0,34 -0,29 0,39 0,21

Deutsch -0,14 -0,21 0,01 0,19 0,13 0,08 0,24 -0,22 0,01 -0,14 0,17 0,10 -0,10 0,02 -0,06

HBOS 0,42 -0,31 0,08 -0,41 0,29 -0,31 0,17 -0,35 -0,49 -0,16 0,08 0,38 -0,36 0,39 0,06

HSBC 0,10 0,04 0,11 -0,09 0,03 -0,07 -0,04 0,11 -0,09 -0,11 0,09 0,05 -0,08 0,10 -0,03

JPM 0,04 0,00 -0,09 -0,05 0,05 -0,15 0,00 0,07 -0,03 -0,08 0,07 0,02 -0,04 -0,09 0,19

Lloyds 0,02 -0,14 -0,30 0,10 0,15 0,33 0,02 -0,14 -0,07 0,04 0,07 0,16 -0,05 -0,05 0,02

RBS -0,24 0,09 -0,31 0,03 -0,10 0,25 -0,02 0,04 0,28 0,46 -0,30 -0,34 0,35 -0,36 -0,06

UBS -0,09 0,15 0,39 -0,03 -0,38 -0,09 -0,07 0,17 0,05 -0,16 -0,05 -0,16 0,00 0,16 0,13

HBOS 0,48 -0,11 0,03 -0,48 0,25 -0,28 -0,22 -0,07 -0,34 -0,20 0,05 0,34 -0,29 0,38 0,31

Norin. -0,26 0,19 -0,33 0,28 -0,19 0,37 0,18 0,05 0,29 0,18 -0,07 -0,24 0,25 -0,49 -0,20

WEST -0,15 0,25 -0,09 0,23 -0,12 0,18 -0,06 0,22 0,17 -0,02 0,04 -0,14 0,14 -0,27 -0,04

VII. c. Analysis of the individual quotation The detection of cooperative strategies might be done through

“discriminant analysis “.

Cluster Analysis is a multivariate analysis technique that seeks to organize information about variables so that relatively homogenous groups, or "clusters," can be formed. The clusters formed with this family of methods should be highly internally homogenous and highly externally heterogeneous.

As an input, we used the matrix of proposed rates by the different banks at the different periods (see the paper)

VII. c. Analysis of the individual quotation

As an output, we get through dendrograms a representation of clusters helping us to detect the similar strategies of rates proposals

PERIOD 1

D e n d r o g r a m

-0 ,043622785

0 ,156377215

0 ,356377215

0 ,556377215

0 ,756377215

0 ,956377215

Sim

ilarity

VII. c. Analysis of the individual quotation:

Example of group for period 2which allows us to find the same banks as those detected by the « individual

quotations »  analysis For Period 3 (17 April 2008 to 23 September 2008) the clustering gives three classes :

Group 1 Group 2 Group 3

Citigroup

Bank of Tokyo

JPMorgan Chase

HBOS

BOA

Lloyds TSB

RBOS

West LB

Rabobank

Deutsche Bank

Credit Suisse

Barclays

Royal Bank of Canada

HSBC

Norinchukia Bank

UBS

Conclusion According to observers, Libor has been abnormally low during defined periods (for

example, the three first months of 2008.) Some banks seem to have proposed illogical quotations and the paper was designed to find an empirical proof for that with different means.

The Libor was not only low, it showed also a very low variance, incompatible with real economic conditions

This phenomenon lessened if not ceased on April 16, following the inquiry launched by BBA - which concluded in June by a case dismissal .

During the 11 months before the subprime crisis, the Libor fixing arouse a strong consensus among observers. During the first months of 2007, it should have lowered in parallel with TB and CDS, although it remained on the same trend.

Limitations of the study : the use of other short term references is not necessarily a solution because :

They are not used for the same purposes and in the same way ; The Icap rate (a reference designed by Icap international as a possible substitute ) is

merely a copy of the Libor Factorial (discriminant) analysis is useful but should be clearly interpreted in terms of

metrics/distance and results. This paper has lost a part of its accuracy since the Libor has recovered an apparently

coherent level with market parameters and gaines confidence by investors.