Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the...

90
CIP deviations during the crisis Covered interest rate parity deviations during the crisis Tommaso Mancini Griffoli, Angelo Ranaldo SNB research unit BOP - SNB Joint Conference, Zurich June 15, 2009 1

Transcript of Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the...

Page 1: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Covered interest rate parity deviations during the crisis

Tommaso Mancini Griffoli, Angelo RanaldoSNB research unit

BOP - SNB Joint Conference, Zurich June 15, 2009

1

Page 2: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Agenda• CIP basics and motivation

• CIP details

• CIP initial empirics

• Some takeaways

• More empirics

• A theory of CIP breakdown

2

Page 3: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Agenda• CIP basics and motivation

• CIP details

• CIP initial empirics

• Some takeaways

• More empirics

• A theory of CIP breakdown

2

Page 4: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Covered Interest Parity (CIP)

3

i* i

Page 5: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Covered Interest Parity (CIP)

3

i* i

depreciation

Page 6: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Covered Interest Parity (CIP)

3

i* i

depreciation

=

Page 7: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

CIP condition

4

Note: S is domestic per foreign currency units.

Page 8: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

CIP condition

4

1S

Note: S is domestic per foreign currency units.

Page 9: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

CIP condition

4

(1+i*)1S

Note: S is domestic per foreign currency units.

Page 10: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

CIP condition

4

(1+i*)SF

Note: S is domestic per foreign currency units.

Page 11: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

CIP condition

4

(1+i*) (1+i)=SF

Note: S is domestic per foreign currency units.

Page 12: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

CIP condition

4

(1+i*) (1+i)=SF

interest differential

Note: S is domestic per foreign currency units.

Page 13: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

CIP condition

4

(1+i*) (1+i)=SF

interest differentialdepreciation(forward premium)

Note: S is domestic per foreign currency units.

Page 14: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

CIP balancing

5

(1+i*) (1+i)>SF

Note: S is domestic per foreign currency units.

Page 15: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

CIP balancing

5

(1+i*) (1+i)>SF

• Riskless gains!• Sell (short) domestic currency spot• Buy (long) domestic currency forward

Note: S is domestic per foreign currency units.

Page 16: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

CIP balancing

5

(1+i*) (1+i)>SF

• Riskless gains!• Sell (short) domestic currency spot• Buy (long) domestic currency forward

Note: S is domestic per foreign currency units.

Page 17: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

CIP balancing

5

(1+i*) (1+i)SF

• Riskless gains!• Sell (short) domestic currency spot• Buy (long) domestic currency forward

=

Note: S is domestic per foreign currency units.

Page 18: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

In theory...

• CIP should always hold!

• Otherwise, infinite Sharpe ratios!

6

Page 19: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

In practice...

• Some deviations in CIP

‣ Over short periods (Taylor ’89)

‣ Over longer periods... since Lehman

- Baba, Packer & Nagano (BIS ’08), Baba & Packer (BIS ’09), Coffey, Hrung, Nguyen & Sarkar (NYFed ’09), others...

7

Page 20: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

CIP deviations

8

Returns, long EURCHF, Libor no tc (%)

-0.2

-0.15

-0.1

-0.05

0

0.05

0.1

0.15

12/4

/06

2/4/

07

4/4/

07

6/4/

07

8/4/

07

10/4

/07

12/4

/07

2/4/

08

4/4/

08

6/4/

08

8/4/

08

10/4

/08

12/4

/08

2/4/

09

4/4/

09

Page 21: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

The story is more complicated!

9

Page 22: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Agenda• CIP basics and motivation

• CIP details

• CIP initial empirics

• Some takeaways

• More empirics

• A theory of CIP breakdown

10

Page 23: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Problems with using Libor• Ask

• Indicative

• Not representative

• Strategic

• Poor timing

• May not have been used by speculators!

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Page 24: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

A more realistic rate...another funding market

• Bid-Ask spreads

• Traded/ firm prices

• Continuous quotes

• Avoid counterparty risk

• Avoid low liquidity

12

Page 25: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

A more realistic rate...another funding market

• Bid-Ask spreads

• Traded/ firm prices

• Continuous quotes

• Avoid counterparty risk

• Avoid low liquidity

12

Page 26: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Overnight rates

Bid-Ask spreads

Traded/ firm prices

Continuous quotes

Avoid counterparty risk

Avoid low liquidity

13

Page 27: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Overnight rates

Bid-Ask spreads

Traded/ firm prices

Continuous quotes

Avoid counterparty risk

Avoid low liquidity

13

Page 28: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Overnight rates

Bid-Ask spreads

Traded/ firm prices

Continuous quotes

Avoid counterparty risk

Avoid low liquidity

13

√√

Page 29: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Overnight rates

Bid-Ask spreads

Traded/ firm prices

Continuous quotes

Avoid counterparty risk

Avoid low liquidity

13

√√√

Page 30: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Overnight rates

Bid-Ask spreads

Traded/ firm prices

Continuous quotes

Avoid counterparty risk

Avoid low liquidity

13

√√√√

Page 31: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Overnight rates

Bid-Ask spreads

Traded/ firm prices

Continuous quotes

Avoid counterparty risk

Avoid low liquidity

13

√√√√√

Page 32: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Arbitrage mechanics

14

Page 33: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Arbitrage mechanics

14

Long i

Short j

SPOT

Page 34: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Arbitrage mechanics

14

Long i

Short j

SPOT

pay O/N j

get O/N i

FUNDING

Page 35: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Arbitrage mechanics

14

get O/N i

get O/N i

get O/N i

pay O/N j

pay O/N j

pay O/N j

Long i

Short j

SPOT

pay O/N j

get O/N i

FUNDING

Page 36: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Arbitrage mechanics

14

get O/N i

get O/N i

get O/N i

pay O/N j

pay O/N j

pay O/N j Long j

Short i

FORWARD

Long i

Short j

SPOT

pay O/N j

get O/N i

FUNDING

Page 37: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Arbitrage mechanics

14

get O/N i

get O/N i

get O/N i

pay O/N j

pay O/N j

pay O/N j Long j

Short i

FORWARD

Long i

Short j

SPOT

pay O/N j

get O/N i

FUNDING

OIS j

Page 38: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Arbitrage mechanics

14

get O/N i

get O/N i

get O/N i

pay O/N j

pay O/N j

pay O/N j Long j

Short i

FORWARD

Long i

Short j

SPOT

pay O/N j

get O/N i

FUNDING

OIS j

OIS i

Page 39: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Arbitrage mechanics

14

get O/N i

get O/N i

get O/N i

pay O/N j

pay O/N j

pay O/N j Long j

Short i

FORWARD

Long i

Short j

SPOT

pay O/N j

get O/N i

FUNDING

OIS j

OIS i

(bid j)

(ask i) (bid i)

(ask j)

Page 40: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

CIP balancing

15

(1+i*) (1+i)=SF

Note: S is domestic per foreign currency units.

Page 41: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

CIP balancing

15

(1+i*) (1+i)=SF

Note: S is domestic per foreign currency units.

Page 42: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

CIP condition

16

(1+OIS*B) (1+OISA)=SA

FB

Note: S is domestic per foreign currency units, conventionally referred to as foreign-domestic exchange rate. Buying foreign currency spot is equivalent to emitting a bid for the foreign-domesic rate, thus buying at the market’s ask price, as in SA in the denominator.

Page 43: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

CIP profits

17

(1+OIS*B) (1+OISA)_SA

FB

Note: S is domestic per foreign currency units, conventionally referred to as foreign-domestic exchange rate. Buying foreign currency spot is equivalent to emitting a bid for the foreign-domesic rate, thus buying at the market’s ask price, as in SA in the denominator.

Page 44: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Agenda• CIP basics and motivation

• CIP details

• CIP initial empirics

• Some takeaways

• More empirics

• A theory of CIP breakdown

18

Page 45: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Libor (no transaction costs)

19

Returns, long EURCHF, Libor no tc (%)

-0.2

-0.15

-0.1

-0.05

0

0.05

0.1

0.15

12/4

/06

2/4/

07

4/4/

07

6/4/

07

8/4/

07

10/4

/07

12/4

/07

2/4/

08

4/4/

08

6/4/

08

8/4/

08

10/4

/08

12/4

/08

2/4/

09

4/4/

09

Page 46: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

OIS (no trans costs)

20

Returns… + OIS no tc (%)

-0.2

-0.15

-0.1

-0.05

0

0.05

0.1

0.15

12/4

/06

2/4/

07

4/4/

07

6/4/

07

8/4/

07

10/4

/07

12/4

/07

2/4/

08

4/4/

08

6/4/

08

8/4/

08

10/4

/08

12/4

/08

2/4/

09

4/4/

09

Ret long LiborEur w/t tcRet long OISEur no tc

Page 47: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

OIS (with trans costs)

21

Returns… + OIS with tc (%)

-0.2

-0.15

-0.1

-0.05

0

0.05

0.1

0.15

12/4

/06

2/4/

07

4/4/

07

6/4/

07

8/4/

07

10/4

/07

12/4

/07

2/4/

08

4/4/

08

6/4/

08

8/4/

08

10/4

/08

12/4

/08

2/4/

09

4/4/

09

Ret long LiborEur w/t tc

Ret long OISEur no tc

Ret long OISEur w/ tc, w/t fxtc

Page 48: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

FX (with trans costs)

22

Returns… + FX with tc (%)

-0.2

-0.15

-0.1

-0.05

0

0.05

0.1

0.15

12/4

/06

2/4/

07

4/4/

07

6/4/

07

8/4/

07

10/4

/07

12/4

/07

2/4/

08

4/4/

08

6/4/

08

8/4/

08

10/4

/08

12/4

/08

2/4/

09

4/4/

09

Ret long LiborEur w/t tcRet long OISEur no tcRet long OISEur w/ tc, w/t fxtcRet long Eur

Page 49: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Agenda• CIP basics and motivation

• CIP details

• CIP initial empirics

• Some takeaways

• More empirics

• A theory of CIP breakdown

23

Page 50: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Libor OIS

• Profits change... get rid of default risk

‣ if Libor-OIS spreads higher in target currency

- profits decrease

‣ if Libor-OIS spreads higher in funding currency

- profits increase

24

Page 51: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Libor OIS

25

= α + β (Libor-OIS related variable) + ...CIP profits(Libor, no tc)

Page 52: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Libor OIS

• β will turn out significant

• Tell stories about national vs. foreign default risk

• But uninformative!

25

= α + β (Libor-OIS related variable) + ...CIP profits(Libor, no tc)

Page 53: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Other remarks

• OIS transaction costs hardly affect profits

• FX transaction costs make a significant difference

• Similar results for other currency pairs

26

Page 54: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Main message

• Using more detailed and realistic measures:

‣ Fewer, lower & less persistent CIP deviations

‣ But deviations remain!

‣ Despite our “stricter” test

27

Page 55: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Main message

• Using more detailed and realistic measures:

‣ Fewer, lower & less persistent CIP deviations

‣ But deviations remain!

‣ Despite our “stricter” test

27

We must look further... perhaps at currencies themselves

Page 56: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Agenda• CIP basics and motivation

• CIP details

• CIP initial empirics

• Some takeaways

• More empirics

• A theory of CIP breakdown

28

Page 57: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Long USD positions

29

Returns, short EURUSD (%)

-0.5

-0.4

-0.3

-0.2

-0.1

0

0.1

1/1/

001/

25/0

02/

18/0

03/

13/0

04/

6/00

4/30

/00

5/24

/00

6/17

/00

7/11

/00

8/4/

008/

28/0

09/

21/0

010

/15/

0011

/8/0

012

/2/0

012

/26/

001/

19/0

12/

12/0

13/

8/01

4/1/

014/

25/0

15/

19/0

16/

12/0

17/

6/01

7/30

/01

8/23

/01

9/16

/01

10/1

0/01

11/3

/01

11/2

7/01

12/2

1/01

1/14

/02

2/7/

023/

3/02

3/27

/02

Page 58: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Short USD positions

30

Returns, long EURUSD (%)

-0.1

0

0.1

0.2

0.3

0.4

0.5

1/1/

001/

25/0

02/

18/0

03/

13/0

04/

6/00

4/30

/00

5/24

/00

6/17

/00

7/11

/00

8/4/

008/

28/0

09/

21/0

010

/15/

0011

/8/0

012

/2/0

012

/26/

001/

19/0

12/

12/0

13/

8/01

4/1/

014/

25/0

15/

19/0

16/

12/0

17/

6/01

7/30

/01

8/23

/01

9/16

/01

10/1

0/01

11/3

/01

11/2

7/01

12/2

1/01

1/14

/02

2/7/

023/

3/02

3/27

/02

Page 59: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Further clues• Very similar charts for other currency pairs

‣ long dollar (–) profits

‣ short dollar (+) profits

• CIP deviations seem to be

‣ currency specific (dollar)

‣ directional (short dollar)

31

Page 60: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Agenda• CIP basics and motivation

• CIP details

• CIP initial empirics

• Some takeaways

• More empirics

• A theory of CIP breakdown

32

Page 61: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Short USD profitable

33

(1+OISEUR) (1+OISUSD)>SA

FB

Page 62: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Short USD profitable

33

(1+OISEUR) (1+OISUSD)>SA

FB

Page 63: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Short USD profitable

33

(1+OISEUR) (1+OISUSD)>SA

FB

Page 64: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Short USD profitable

33

(1+OISEUR) (1+OISUSD)>SA

FB

Page 65: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Short USD profitable

33

(1+OISEUR) (1+OISUSD)>SA

FB

• FB too high• USD too cheap on FWD market

Page 66: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Towards a theory• FWD not priced according to CIP

• Usually, price pressure on FWD comes from arbitrageurs,

• Who short an appreciating currency (for given OIS differential)

• But if - for some reason - arbitrage is insufficient, FWD becomes “stale” (as seen from CIP)

• Thus, spot movements determine if CIP profits are positive or negative

34

Page 67: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

An illustration

35

Page 68: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

An illustration

35

EURUSD

t

Page 69: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

An illustration

35

Investors

Speculators

EURUSD

t

Page 70: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

An illustration

35

Investors

Speculators

EURUSD

t

spot

Page 71: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

An illustration

35

Investors

Speculators

EURUSD

t

spot

forward

Page 72: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

An illustration

35

Investors

Speculators

EURUSD

t

spot

forwardCIP i-rate diff

Page 73: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

An illustration

35

Investors

Speculators

EURUSD

t

spot

forwardCIP i-rate diff

forwardCIP i-rate diff

“excess” USD depreciation; CIP breakdown

forward

Page 74: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

An illustration

35

Investors

Speculators

EURUSD

t

spot

forwardCIP i-rate diff

forwardCIP i-rate diff

“excess” USD depreciation; CIP breakdown

forward

Page 75: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

The short USD experience• Enormous pressure to obtain USD spot USD

appreciation

• Speculators should have shorted USD

• But... insufficient USD available to borrow

• Thus insufficient pressure on USD forward

• Resulting in “excess” USD future depreciation inducing positive CIP profits

36

Page 76: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

The short USD experience• Enormous pressure to obtain USD spot USD

appreciation

• Speculators should have shorted USD

• But... insufficient USD available to borrow

• Thus insufficient pressure on USD forward

• Resulting in “excess” USD future depreciation inducing positive CIP profits

36

• No notion of risk!• A funding liquidity constraint!

Page 77: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Long USD unprofitable, same story from flip side

• Positive profits with short USD position

• Negative profits with long USD position

• Except if bid-ask spreads are particularly high relative to profits

37

Page 78: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Regressions support our story

38

Long USD Short USDBAS fwdBAS spot

Balance sheetTED

VIX/ CDS

Page 79: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Regressions support our story

38

Long USD Short USDBAS fwdBAS spot

Balance sheetTED

VIX/ CDS

BAS FWD

BAS spot

Balance sheet

TED

Funding liquidity

constraint

Page 80: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Regressions support our story

38

Long USD Short USDBAS fwdBAS spot

Balance sheetTED

VIX/ CDS

BAS FWD

BAS spot

Balance sheet

TED

Funding liquidity

constraint

VIX/ CDSRisk

Page 81: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Regressions support our story

38

Long USD Short USDBAS fwdBAS spot

Balance sheetTED

VIX/ CDS

BAS FWD

BAS spot

Balance sheet

TED

Funding liquidity

constraint

VIX/ CDSRisk

– ++ –+ –– +no no

Page 82: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

– – 5.7 ***+ 4.9 ***+ 4.4 ***– – 1.7 ***no not signft

Regressions support our story

39

Long USDBAS fwdBAS spot

Balance sheetTED

VIX/ CDS

Page 83: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

– – 5.7 ***+ 4.9 ***+ 4.4 ***– – 1.7 ***no not signft

Regressions support our story

39

Long USDBAS fwdBAS spot

Balance sheetTED

VIX/ CDS

√√√√√

Page 84: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Summary• CIP deviations, can you believe it?

• CIP arbitrage is complex,

• Literature is too superficial

• Our measure excludes default risk and includes transaction costs (& other benefits)

• But still, deviations exist, although smaller, less frequent and persistent

40

Page 85: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Summary• Study across various currency pairs reveals

‣ short USD positions profitable

• A theory: funding liquidity constraints limit arbitrage

‣ forward price is stale and spot deviations determine CIP arbitrage profitability

• Supported by evidence & regression analysis

41

Page 86: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Summary

• More perspective:

‣ find limits to theoretical zero-risk arbitrage conditions at heart of finance,

‣ more concretely, find which currencies were in excessive demand due to technical reasons during the crisis... USD and CHF

42

Page 87: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

Appendix

43

Page 88: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

CHF story similar to above

• Great pressure to obtain CHF

• Spot CHF appreciation but limited short CHF speculation (funding liquidity constraint),

• Leaving CHF “too cheap” on fwd market,

• Thus offering profitable short CHF arbitrage

44

Page 89: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

CHF story similar to above

• ... as seen in Libor CIP measure,

• but not with our measure due to significant increase in transaction costs

45

Returns… + FX with tc (%)

-0.2

-0.15

-0.1

-0.05

0

0.05

0.1

0.15

12/4

/06

2/4/

07

4/4/

07

6/4/

07

8/4/

07

10/4

/07

12/4

/07

2/4/

08

4/4/

08

6/4/

08

8/4/

08

10/4

/08

12/4

/08

2/4/

09

4/4/

09

Ret long LiborEur w/t tcRet long Eur

Page 90: Presenation: Covered interest rate parity deviations during the crisis · CIP deviations during the crisis CIP condition 16 (1+OIS*B) = (1+OISA) SA FB Note: S is domestic per foreign

CIP deviations during the crisis

USDEUR, Libor and Net

46

Returns, long EURUSD (%)

-0.1

0

0.1

0.2

0.3

0.4

0.5

3/1/

06

5/1/

06

7/1/

06

9/1/

06

11/1

/06

1/1/

07

3/1/

07

5/1/

07

7/1/

07

9/1/

07

11/1

/07

1/1/

08

3/1/

08

5/1/

08

7/1/

08

9/1/

08

11/1

/08

1/1/

09

3/1/

09

Libor, no trans costs

OIS & FX with transcosts