Market Correlations. FORTS Derivative Market Diagnostics and Monthly FX Forecast

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    mailto:[email protected]://en.maragingpartners.ru/
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    R2

    R2 R2

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    CSI

    CBPI

    CBPI

    R2

    R2

    CSI

    CSI

    CSI

    CSI

    CSI

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    R2 R2

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    date

    09.08 04.09 12.09 07.10 03.11 10.11 06.12 01.13 09.13 04.14

    FORTSVo

    latility

    0.002

    0.003

    0.004

    0.005

    0.006

    QE1 QE2 QE3

    Flas

    hCras

    h

    S&PDowngra

    d

    e

    date

    09.08 04.09 12.09 07.10 03.11 10.11 06.12 01.13 09.13 04.14

    FORTSCSI

    0.25

    0.3

    0.35

    0.4

    0.45

    0.5

    date

    09.08 04.09 12.09 07.10 03.11 10.11 06.12 01.13 09.13 04.14

    F

    ORTSCBPI

    0.03

    0.04

    0.05

    0.06

    0.07

    0.08

    0.09

    0.1

    FORTS CBPI

    FORTS CBPI zero benchmark

    date

    09.08 04.09 12.09 07.10 03.11 10.11 06.12 01.13 09.13 04.14

    FORTSR

    _2

    0

    0.05

    0.1

    0.15

    0.2

    0.25

    0.3

    0.35

    Maraging Partners

    R2

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    CSI

    CSI

    CBPI

    CBPI

    R2 R2

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    R2

    R2

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    time series 1

    1 2 3 4 5

    meseres

    1

    2

    3

    4

    5

    -0.4

    -0.2

    0

    0.2

    0.4

    0.6

    0.8

    1

    a) lag 0

    time series 1

    1 2 3 4 5

    timeseries2

    1

    2

    3

    4

    5

    -0.06

    -0.04

    -0.02

    0

    0.02

    0.04

    0.06

    0.08

    b) lag 1

    Maraging Partners

    i

    j

    i

    j

    i

    j

    td = ti tj = 1

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    date

    08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    Bren

    t,RTS0lagcorrela

    tion

    0

    0.2

    0.4

    0.6

    0.8

    date08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    EUR/USD

    ,RTS0lagcorre

    lation

    0

    0.2

    0.4

    0.6

    0.8

    date08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    EUR/USD

    ,Bren

    t0lagcorre

    lation

    0

    0.2

    0.4

    0.6

    0.8

    date

    08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    EUR/RUB

    ,RTS0lagcorre

    lation

    -0.6

    -0.4

    -0.2

    0

    0.2

    0.4

    .

    date08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    EUR

    /RUB

    ,Bren

    t0lagcorre

    lation

    -0.5

    -0.4

    -0.3

    -0.2

    -0.1

    0

    0.1

    0.2

    0.3

    0.4

    Maraging Partners

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    date

    08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    EUR/RUB

    ,EUR/USD0lagco

    rre

    lation

    0

    0.2

    0.4

    0.6

    0.8

    date08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    USD/RUB

    ,RTS0lagcorre

    lation

    -0.9

    -0.8

    -0.7

    -0.6

    -0.5

    -0.4

    -0.3

    -0.2

    date08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    USD/RUB

    ,Bren

    t0lagcorre

    lation

    -0.8

    -0.6

    -0.4

    -0.2

    0

    date

    08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14USD/RUB

    ,EUR/USD0lagco

    rre

    latio

    -1.2

    -1

    -0.8

    -0.6

    -0.4

    -0.2

    date08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    EUR/R

    UB

    ,USD/RUB0lagcorre

    latio

    -0.6

    -0.4

    -0.2

    0

    0.2

    0.4

    0.6

    0.8

    1

    Maraging Partners

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    CSI

    CBPI

    CBPI

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    date

    08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    Bren

    t,RTS1lagcorre

    lation

    -0.2

    -0.1

    0

    0.1

    0.2

    date08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    EUR/USD

    ,RTS1lagcorre

    lation

    -0.2

    -0.1

    0

    0.1

    0.2

    0.3

    date08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    EUR/USD

    ,Bren

    t1lagcorre

    lation

    -0.3

    -0.2

    -0.1

    0

    0.1

    0.2

    date

    08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    EUR/RUB

    ,RTS1lagco

    rre

    lation

    -0.3

    -0.2

    -0.1

    0

    0.1

    date08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    E

    UR/RUB

    ,Bren

    t1lagcorre

    lation

    -0.4

    -0.3

    -0.2

    -0.1

    0

    0.1

    .

    Maraging Partners

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    date

    08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    EUR/RUB

    ,EUR/USD1lag

    corre

    lation

    -0.25

    -0.2

    -0.15

    -0.1

    -0.05

    0

    0.05

    0.1

    0.15

    0.2

    date08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    USD/RUB

    ,RTS1lagcorre

    lation

    -0.3

    -0.25

    -0.2

    -0.15

    -0.1

    -0.05

    0

    0.05

    0.1

    0.15

    date08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    USD/RUB

    ,Bren

    t1lagcorre

    lation

    -0.2

    -0.1

    0

    0.1

    0.2

    date

    08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14USD/RUB

    ,EUR/USD1lag

    corre

    latio

    -0.25

    -0.2

    -0.15

    -0.1

    -0.05

    0

    0.05

    0.1

    0.15

    date08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    EU

    R/RUB

    ,USD/RUB1lagcorre

    latio

    -0.2

    -0.15

    -0.1

    -0.05

    0

    0.05

    0.1

    0.15

    0.2

    0.25

    Maraging Partners

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    date

    08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    Bren

    t,RTS-1

    lagcorre

    lation

    -0.2

    -0.1

    0

    0.1

    0.2

    0.3

    date08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    E

    UR/USD

    ,RTS-1

    lagcorre

    lation

    -0.3

    -0.2

    -0.1

    0

    0.1

    0.2

    date08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    EUR/USD

    ,Bren

    t-1

    lagcorre

    lation

    -0.2

    -0.1

    0

    0.1

    0.2

    0.3

    date

    08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    EUR/RUB

    ,RTS-1

    lagco

    rre

    lation

    -0.2

    -0.15

    -0.1

    -0.05

    0

    0.05

    0.1

    0.15

    0.2

    .

    date08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    E

    UR/RUB

    ,Bren

    t-1

    lagcorre

    lation

    -0.2

    -0.15

    -0.1

    -0.05

    0

    0.05

    0.1

    0.15

    .

    Maraging Partners

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    date

    08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14EUR/RUB

    ,EUR/USD-1

    lag

    corre

    lation

    -0.3

    -0.2

    -0.1

    0

    0.1

    0.2

    date08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    U

    SD/RUB

    ,RTS-1

    lagcorre

    lation

    -0.2

    -0.1

    0

    0.1

    0.2

    0.3

    date08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    USD/RUB

    ,Bren

    t-1

    lagcorre

    lation

    -0.2

    -0.1

    0

    0.1

    0.2

    date

    08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14USD/RUB

    ,EUR/USD-1

    lag

    corre

    latio

    -0.2

    -0.15

    -0.1

    -0.05

    0

    0.05

    0.1

    0.15

    0.2

    date08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    EUR/RUB

    ,USD/RUB-1

    lagcorre

    latio

    -0.3

    -0.2

    -0.1

    0

    0.1

    0.2

    Maraging Partners

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    time lag, hours0 2 4 6 8 10

    Pearson-norma

    lize

    dau

    tocorre

    lation

    -0.2

    -0.1

    0

    0.1

    0.2

    0.3RTS Index

    Brent

    EUR/USD

    EUR/RUB

    USD/RUB

    Maraging Partners

    time lag, hours-10 -5 0 5 10

    P

    earsoncorre

    lation,

    intermarke

    t

    -0.2

    -0.15

    -0.1

    -0.05

    0

    0.05

    0.1

    0.15

    BR,EDBR,EU

    BR,SI

    RI,BR

    Maraging Partners

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    time lag, hours-10 -5 0 5 10

    Pearsoncorre

    lation,

    intermarke

    t

    -0.4

    -0.2

    0

    0.2

    0.4

    BR,ED

    ED,EU

    ED,SI

    RI,ED

    Maraging Partners

    time lag, hours-10 -5 0 5 10

    Pearsoncorre

    lation,

    intermarke

    t

    -0.4

    -0.2

    0

    0.2

    0.4

    0.6 BR,EU

    ED,EUEU,SI

    RI,EU

    Maraging Partners

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    time lag, hours-10 -5 0 5 10

    Pearsoncorre

    lation,

    intermarke

    t

    -0.3

    -0.2

    -0.1

    0

    0.1

    0.2 RI,BRRI,EDRI,EU

    RI,SI

    Maraging Partners

    time lag, hours-10 -5 0 5 10

    Pearsoncorre

    lation,

    intermarke

    t

    -0.4

    -0.2

    0

    0.2

    0.4

    0.6 BR,SIED,SI

    EU,SI

    RI,SI

    Maraging Partners

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    R2

    R2

    0.35 0.079

    0.12

    R2

    R2

    R2

    R2

    R2 R2

    R2 R2 p1

    R2

    R2

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    R2

    date

    08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    RI(RTSIndex

    ),R

    _2

    -0.1

    0

    0.1

    0.2

    0.3

    0.4

    .

    date08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    B

    R(Bren

    t),

    R_

    2

    -0.2

    -0.1

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    date08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    ED(EUR/USD),R

    _2

    -0.1

    0

    0.1

    0.2

    0.3

    0.4

    .

    date08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    EU(EUR/RUB),R

    _2

    -0.1

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    date08.08 04.09 11.09 07.10 02.11 10.11 05.12 01.13 08.13 04.14

    SI(USD/RUB),R

    _2

    -0.2

    -0.1

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    Maraging Partners

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    R2

    BR R_2 month-0.2 -0.1 0 0.1 0.2 0.3 0.4 0.5

    BRR

    _2nex

    tmon

    th

    -0.2

    -0.1

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    / ndf2 1.322 / 53

    Prob 1

    p0 0.028130.136

    p1 0.1334-0.03266

    / ndf2 1.322 / 53

    Prob 1

    p0 0.028130.136

    p1 0.1334-0.03266

    Maraging Partners

    R2 y R2 x

    y= p0+ xp1

    RI R_2 month-0.1 0 0.1 0.2 0.3 0.4 0.5

    RIR

    _2nex

    tmont

    h

    -0.1

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    / ndf2 0.603 / 53

    Prob 1

    p0 0.024790.188p1 0.1292-0.233

    / ndf2 0.603 / 53

    Prob 1

    p0 0.024790.188p1 0.1292-0.233

    Maraging Partners

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    R2

    ED R_2 month-0.1 0 0.1 0.2 0.3 0.4 0.5

    EDR

    _2nex

    tmon

    th

    -0.1

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    / ndf2 0.9535 / 53

    Prob 1

    p00.027270.1377

    p1 0.13860.04564

    / ndf2 0.9535 / 53

    Prob 1

    p00.027270.1377

    p1 0.13860.04564

    Maraging Partners

    EU R_2 month-0.1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7

    EUR

    _2nex

    tmon

    th

    -0.1

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    / ndf2 1.129 / 53

    Prob 1

    p0 0.034370.193p1 0.13690.06147

    / ndf2 1.129 / 53

    Prob 1

    p0 0.034370.193p1 0.13690.06147

    Maraging Partners

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    R2

    SI R_2 month-0.2 -0.1 0 0.1 0.2 0.3 0.4 0.5 0.6

    SIR

    _2nex

    tmon

    th

    -0.2

    -0.1

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    / ndf2 1.107 / 53

    Prob 1

    p0 0.030460.2063p1 0.1339-0.1864

    / ndf2 1.107 / 53

    Prob 1

    p0 0.030460.2063p1 0.1339-0.1864

    Maraging Partners

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    V[x] =E[x2(t)]|t,

    E[ ]|t

    x1(t) x2(t)

    C[td|x1, x2] =E[x1(t+ td)x2(t)]|t,

    td x1 x2

    td = t1 t2,

    E[ ]|t x1 x2

    x1 x2 td

    x1 x2 x1

    t1 = t2+ L.

    x2 x1 x2

    CP

    CP 1.

    CP[td|x1, x2] =C[td|x1, x2]

    V[x1]V[x2].

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    CSI

    CSI

    = 1

    10

    |CP[0| ]| + |CP[0| ]| + |CP[0| ]| + |C(0| )|

    +|C[0|

    ]| + |C[0|

    ]| + |C[0|

    ]

    +|C[0| ]| + |C[0| ]|

    +|C[0| ]|

    CP[td|A,B]

    td

    CSI

    1

    CBPI

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    CBPI

    = 1

    25

    |CP[1| ]| + |CP[1| ]| + |CP[1| ]| + |CP[1| ]| + |CP[1| ]|

    +|CP[1| ]| + |CP[1| ]| + |CP[1| ]| + |CP[1| ]|

    +|CP[1| ]| + |CP[1| ]| + |CP[1| ]|

    +|CP[1| ]| + |CP[1| ]|

    +|CP[1| ]|

    +|CP[1| ]| + |CP[1| ]| + |CP[1| ]| + |CP[1| ]|

    +|CP[1| ]| + |CP[1| ]| + |CP[1| ]|

    +|CP[1| ]| + |CP[1| ]|

    +|CP[1| ]|

    CBPI

    1

    CBPI

    =

    2/

    CBPI

    R2 R2

    R2

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    R2

    R2 =

    1

    7 (CP[1|C, C] + CP[1|H,H] + CP[1|L,L]+ CP[1|C,H] + CP[1|C, L] + CP[1|H,L] + CP[1|L,H]),

    CP

    CP[1|H,C]

    td = 1 =tH tC

    CP[1|L,C]

    td = 1 =tL tC

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