7/21/2019 Chapter 19 (Calculation of BM and KM; KM Curves)

1/23

ANC_YFW38

AC@AV@CYHDJ DB GK CJI MK= MK AVWRFQ

_cef 3db 71

Ancptfr38

Ac`au`cthdj db GK cji MK= MK aurvfs

Fxfrahsf -36

Cjswfr3

Ehvfj k

MG ; ircbt

7

MG ; 2

7

MG ; 1 k

GK ; G7

37i

GK ; 76 * 76

37 * 2

GK ; >.2>3 k

MK ; MG + GK

MK ; 1 + >.2>3

MK ; 33.2>3 k

MK ; ME + EK

33.2>3 ; > + EK

1.2>3 k ; EK

7/21/2019 Chapter 19 (Calculation of BM and KM; KM Curves)

2/23

ANC_YFW38

AC@AV@CYHDJ DB GK CJI MK= MK AVWRFQ

_cef 7db 71

Cjswfr 7

Ehvfj k

1 Nfhent db vfssf` ; 2 k

9 Ihsp`cafkfjt db vfssf` ; 3952 k

6 WI db QU ; 3.?76

Vjifrwctfr Rd`ukf ; Ihsp`cafkfjt

WI db wctfr

@ * G * ircbt ; 3952

3.?76

ircbt ; 3952

3.?76 * 96 * >

ircbt ; 9.??? k

MG ; ircbt

7

MG ; 9.???

7

MG ; 7 k

GK ; G7

37i

GK ; > * >

37 * 9.???

GK ; 3.111 k

MK ; MG + GK

MK ; 7 + 3.111

MK ; 1.111 k

7/21/2019 Chapter 19 (Calculation of BM and KM; KM Curves)

3/23

ANC_YFW38

AC@AV@CYHDJ DB GK CJI MK= MK AVWRFQ

_cef 1db 71

Cjswfr 1

Ehvfj k

MG ; ircbt

7

MG ; >.???

7

MG ; 9.??? k

GK ; G7

37i

GK ; 7? * 7?

37 * >.???

GK ; 9.325 k

MK ; MG + GK

MK ; 9.????7 + 9.325

MK ; >.325 k

7/21/2019 Chapter 19 (Calculation of BM and KM; KM Curves)

4/23

ANC_YFW38

AC@AV@CYHDJ DB GK CJI MK= MK AVWRFQ

_cef 9db 71

Cjswfr 9

Ehvfj? k

7 Grfctn db vfssf` ; 79 k

1 Ircbt db vfssf` ; > k

9 WI db wctfr ; 3.?76

Ancjef hj ircbt ; Ircbt db vfssf` * 3.?76

WI db wctfr

Ancjef hj ircbt ; > * 3.?76

3.?76

Ancjef hj ircbt ; > k

MG ; ircbt

7

MG ; >.???

7

MG ; 9.??? k

GK ; G7

37i

GK ; 79 * 79

37 * >.???

GK ; 2.??? k

MK ; MG + GK

MK ; 9 + 2.???

MK ; 3?.??? k

7/21/2019 Chapter 19 (Calculation of BM and KM; KM Curves)

5/23

ANC_YFW38

AC@AV@CYHDJ DB GK CJI MK= MK AVWRFQ

_cef 6db 71

Ct WI 3.???

Ancjef hj ircbt ; Ircbt db vfssf` * 3.?76

WI db wctfr

Ancjef hj ircbt ; > * 3.?76

3

Ancjef hj ircbt ; >.7 k

MG ; ircbt

7

MG ; >.7??

7

MG ; 9.3?? k

GK ; G7

37i

GK ; 79 * 79

37 * >.7??

GK ; 6.>69 k

MK ; MG + GK

MK ; 9.3 + 6.>69

MK ; 8.869 k

7/21/2019 Chapter 19 (Calculation of BM and KM; KM Curves)

6/23

ANC_YFW38

AC@AV@CYHDJ DB GK CJI MK= MK AVWRFQ

_cef 2db 71

Cjswfr 6

Ehvfjk1.

QU ircbt ; 3?k

9. ME ; 2.8k

6. BQK ; 7???tk

MG ; ircbt

7

MG ;3?

7

MG ; 6k

GK ; g7

37i

GK ; 3> * 3>

37 * 3?

GK ; 7.5k

MK ; MG + GK

MK ; 6k + 7.5k

MK ; 5.5k

WI db wctfr ; Ihsp`cafkfjt db vfssf`

Rd`ukf

Ihsp`cafkfjt db vfssf` ; Rd`ukf * WI db wctfr

Ihsp`cafkfjt db vfssf` ; @ * G * ircbt * WI db wctfr

Ihsp`cafkfjt db vfssf` ; 37? * 3> * 3? * 3.?76

Ihsp`cafkfjt db vfssf` ; 3379?t

BQA ; BQK

Ihsp`cafkfjt

BQA ; 7???

7739?

BQA ; ?.?8?k

7/21/2019 Chapter 19 (Calculation of BM and KM; KM Curves)

7/23

ANC_YFW38

AC@AV@CYHDJ DB GK CJI MK= MK AVWRFQ

_cef 5db 71

ME (s) ;2.8k

BQA ;+?.?8k

ME (b) ; 2.88k

MK ; ME(b) + EK(b)

5.5k ; 2.88k + EK(b)

5.5k2.88k ; EK (b)

?.53k ; EK(b)

EK db tnf vfssf` hs ?.53k

Cjswfr 2

Ehvfj??tk

MG ; ircbt

7

MG ; 5

7

MG ; 1.6k

GK ; g7

37i

GK ; 32 * 32

37 * 5

GK ; 1.?9>k

MK ; MG + GK

MK ; 1.6k + 1.?9>k

MK ; 2.69>k

WI db wctfr ; Ihsp`cafkfjt db vfssf`

Rd`ukf

7/21/2019 Chapter 19 (Calculation of BM and KM; KM Curves)

8/23

ANC_YFW38

AC@AV@CYHDJ DB GK CJI MK= MK AVWRFQ

_cef >db 71

Ihsp`cafkfjt db vfssf` ; Rd`ukf * WI db wctfr

Ihsp`cafkfjt db vfssf` ; @ * G * ircbt * WI db wctfr

Ihsp`cafkfjt db vfssf` ; 3?? * 32 * 5 * 3.?76

Ihsp`cafkfjt db vfssf` ; 339>?t

BQA ; BQK

Ihsp`cafkfjt

BQA ; 9>??

339>?

BQA ; ?.93>k

ME (s) ;6.6kBQA ;+?.93>k

ME (b) ; 6.83>k

MK ; ME(b) + EK(b)

2.69>k ; 6.83>k + EK(b)

2.69>k6.83>k ; EK (b)

?.21?k ; EK(b)

Ycj; w * Yrcjsvfrsf ihstcjaf

U * EK

Ycj ; 1? * 3?

339>? * ?.21

Ycj ; ?.?936

; Ycj-3

(?.?936)

; 7.1> (_drt)

@hst hs 7.1> td pdrt.

7/21/2019 Chapter 19 (Calculation of BM and KM; KM Curves)

9/23

ANC_YFW38

AC@AV@CYHDJ DB GK CJI MK= MK AVWRFQ

_cef 8db 71

Cjswfr 5

Ehvfj

9 9.6 6 6.6 2 2.6 5 5.6

Ircbt(k)

MK (k)

Khjhkuk MK

7/21/2019 Chapter 19 (Calculation of BM and KM; KM Curves)

10/23

ANC_YFW38

AC@AV@CYHDJ DB GK CJI MK= MK AVWRFQ

_cef 3?db 71

Cjswfr >

Ehvfj>?k1

Ydtc` trcjsvfrsf crfc db ( CIF) ; Vjifrwctfr Rd`ukf

@fjetn

Ydtc` trcjsvfrsf crfc db ( CIF) ; 7>>?

96

96k

3?k

7?k

C

G

I F

A

B

E

7/21/2019 Chapter 19 (Calculation of BM and KM; KM Curves)

11/23

ANC_YFW38

AC@AV@CYHDJ DB GK CJI MK= MK AVWRFQ

_cef 33db 71

Ydtc` trcjsvfrsf crfc db ( CIF) ; 29k7

Hj CGA cji CIF

3. C ; C (Adkkdj Cje`f)

7.

CIF ; CGA (Adrrfspdjihje Cje`fs)1.

CFI ; CAG (Adrrfspdjihje Cje`fs)

Uf jdw mjdw tnct CGA hs shkh`cr td CFI

@ft tnf rcthd gftwffj tnf shifs db tnf shkh`cr trhcje`f gf x.

Gcsf3* Nfhent3 ; Crfc db CGA

(x*Gcsf3)* (x *Nfhent3) ; Crfc db CFI

7? * 3? ; 3??

(x*7?) * (x*3?) 29

7? * 3? * 29 ; x7

7? * 3? * 3??

29 ; x7

3??

9 ; x

6

Wcthd db tnf shifs db CGA cji CFI hs 9/6

CB ; 9 * CE

6

CB ;9 * 3?

6

CB ; >k

Ircbt db tnf vfssf` ; CB

Ircbt db tnf vfssf` ; >k

IF ; 9 * GA

6

IF ;9 * 7?

6

IF ; 32k

Uhitn ct Uctfr _`cjf Crfc ; IF

7/21/2019 Chapter 19 (Calculation of BM and KM; KM Curves)

12/23

ANC_YFW38

AC@AV@CYHDJ DB GK CJI MK= MK AVWRFQ

_cef 37db 71

Uhitn ct Uctfr _`cjf Crfc ; 32k

MG ; 7 * ifptn

1

MG ; 7 * >1

MG ; 6.111k

GK ; G7

2i

GK ; (32)7

2 * 6.111

GK ; >k

MK ; MG + GK

MK ; 6.111k + >k

MK 31.111k

MK db tnf vfssf` hs 31.111k

7/21/2019 Chapter 19 (Calculation of BM and KM; KM Curves)

13/23

ANC_YFW38

AC@AV@CYHDJ DB GK CJI MK= MK AVWRFQ

_cef 31db 71

Cjswfr 8

Ehvfjk1.

@fjetn ; 9?k

MK ct 7.6k ircbt hs 7.86k

MK ct 9.56k ircbt hs 6.2k

?.???

3.???

7.???

1.???

9.???

6.???

2.???

5.???

?.??? 3.??? 7.??? 1.??? 9.??? 6.??? 2.??? 5.??? >.???

Ircbt(k)

MK (k)

MK ct 7.6k

MK ct 9.56k

7/21/2019 Chapter 19 (Calculation of BM and KM; KM Curves)

14/23

ANC_YFW38

AC@AV@CYHDJ DB GK CJI MK= MK AVWRFQ

_cef 39db 71

Cjswfr 3?

Ehvfj.1k

9. H * A@ ; 96???k1

6. BQK ; 7?6?tk

BQA ; BQK

Ihsp`cafkfjt

BQA ; 7?6?

3?76?

BQA ; ?.7k

ME(b) ; ME(s) + BQA

ME(b) ; >.1k + ?.7k

ME(b) ; >.6k

Vjifrwctfr Rd`ukf ; Kcss

WI db wctfr

Vjifrwctfr Rd`ukf ; 3?76?3.?76

Vjifrwctfr Rd`ukf ; 3????k1

GK ; H

Rd`ukf

GK ; 96???

3????

GK ; 9.6k

MK ; MG + GK

MK ; 6.2k + 9.6k

MK ; 3?.3k

MK ; ME(b) + EK(b)

3?.3k ; >.6k + EK(b)

EK(b) ; 3?.3k

7/21/2019 Chapter 19 (Calculation of BM and KM; KM Curves)

15/23

ANC_YFW38

AC@AV@CYHDJ DB GK CJI MK= MK AVWRFQ

_cef 36db 71

Cjswfr 33

Ehvfjk1.

Nfhent db rfatcje`f ; 6k

9. Ifptn db trhcje`f ; 1k

6. U ; 327?t

WI db BU ; 3.???

WI db wctfr ; Ihsp`cafkfjt

Vjifrwctfr Rd`ukf

Vjifrwctfr Rd`ukf ; Ihsp`cafkfjt

WI db wctfr

Vjifrwctfr Rd`ukf ; 327?

3.???

Vjifrwctfr Rd`ukf ; 327?k1

Vjifrwctfr Rd`ukf db IAF ; 3 * Gcsf * Nfhent * @fjetn

7

Vjifrwctfr Rd`ukf db IAF ; 3 * > * 1 * 96

7

Vjifrwctfr Rd`ukf db IAF ; 69?k1

96k

>k

6k

1k

327?t

C

I

G

A

F

7/21/2019 Chapter 19 (Calculation of BM and KM; KM Curves)

16/23

ANC_YFW38

AC@AV@CYHDJ DB GK CJI MK= MK AVWRFQ

_cef 32db 71

Crfc db IAF ; Vjifrwctfr Rd`ukf

@fjetn

Crfc db IAF ; 69?

96

Crfc db IAF ; 37k7

Rd`ukf kdrf td gf ihsp`cafi ; 327?k169?k

1

Rd`ukf kdrf td gf ihsp`cafi ; 3?>?k1

Rd`ukf kdrf td gf ihsp`cafi ; @ * G * nfhent

3?>? ; 96 * > * nfhent

3?>? ; nfhent96 * >

1k ; nfhent

Crfc db rfatcje`f IAGC ; Rd`ukf ihsp`cafi

@fjetn

Crfc db rfatcje`f IAGC ; 3?>?

96

Crfc db rfatcje`f IAGC ; 79k

7

MG db IAF ; 7 * Ircbt

1

MG db IAF ; 7 * 1

1

MG db IAF ; 7k

MG db rfatcje`f IAGC ; 1k + nfhent

7

MG db rfatcje`f IAGC ; 1k + 1k

7

MG db rfatcje`f IAGC ; 9.6k

MG ; Crfc db IAF* (MG db IAF) + Crfc db rfatcje`f IAGC * (MG db rfatcje`f IAGC)

Ydtc` Crfc

MG ; (37 * 7) + (79 * 9.6)

37 + 79

7/21/2019 Chapter 19 (Calculation of BM and KM; KM Curves)

17/23

ANC_YFW38

AC@AV@CYHDJ DB GK CJI MK= MK AVWRFQ

_cef 35db 71

MG ; 79 + 3?>

12

MG ; 1.225k

GK ; @G1

37 * Ydtc` Rd`ukf

GK ; 96 * > * > * >

327?

GK ; 3.3>6k

MK ; MG + GK

MK ; 1.225k + 3.3>6k

MK ; 9.>67k

MK db tnf vfssf` hs 9.>67k

Cjswfr 37

Ehvfj

7/21/2019 Chapter 19 (Calculation of BM and KM; KM Curves)

18/23

ANC_YFW38

AC@AV@CYHDJ DB GK CJI MK= MK AVWRFQ

_cef 3>db 71

Wcihus db sfkhahra`f ; Ihckftfr

7

Wcihus db sfkhahra`f ; 3?

7

Wcihus db sfkhahra`f ; 6k

Rd`ukf ihsp`cafi gy sfkhahra`f sfathdj ; * r7* @

7

Rd`ukf ihsp`cafi gy sfkhahra`f sfathdj ; 77 * 6 * 6 * 6?

7 * 5

Rd`ukf ihsp`cafi gy sfkhahra`f sfathdj ; 3829.7>2k1

Crfc db sfkhahra`f ; Ydtc` Rd`ukf@fjetn

Crfc db sfkhahra`f ; 3829.7>2

6?

Crfc db sfkhahra`f ; 18.7>2k7

Wfkchjhje ircbt bdr shjmcef ; Ircbtrcihus db sfkhahra`f

Wfkchjhje ircbt bdr shjmcef ; 2k6k

Wfkchjhje ircbt bdr shjmcef ; 3k

Rd`ukf ihsp`cafi gy rfatcje`f sfathdj ; @ * G * ifptn

Rd`ukf ihsp`cafi gy rfatcje`f sfathdj ; 6? * 3? * 3

Rd`ukf ihsp`cafi gy rfatcje`f sfathdj ; 6??k1

Crfc db rfatcje`f CGIA ; Ydtc` Rd`ukf

@fjetn

Crfc db rfatcje`f CGIA ; 6??

6?

Crfc db rfatcje`f CGIA ; 3?k7

MG db rfatcje`f sfathdj ; rcihus db sfkhahra`f + Wfkchjhje ircbt bdr shjmcef

7

MG db rfatcje`f sfathdj ; 6k + 3k

7

MG db rfatcje`f sfathdj ; 6.6k

7/21/2019 Chapter 19 (Calculation of BM and KM; KM Curves)

19/23

ANC_YFW38

AC@AV@CYHDJ DB GK CJI MK= MK AVWRFQ

_cef 38db 71

MG ; (Crfc db sfkhahra`f AIF * MG db sfkhahra`f AIF)+(Crfc db rfatcje`f CGIA * MG db rfatcje`fCGIA)

Ydtc` Crfc

MG ; (18.7>2 * 1) + (3? * 6.6)

18.7>2 + 3?

MG ; 335.>6> + 66

98.7>2

MG ; 1.6?5k

GK ; @G1

37 R

GK ; 6? * 3? * 3? * 3?

37 * 7929.7>2

GK ; 3.283k

MK ; MG + GK

MK ; 1.6?5k + 3.283k

MK ; 6.38>k

MK db tnf vfssf` hs 6.38>k

Cjswfr 31

Ehvfj

7/21/2019 Chapter 19 (Calculation of BM and KM; KM Curves)

20/23

ANC_YFW38

AC@AV@CYHDJ DB GK CJI MK= MK AVWRFQ

_cef 7?db 71

GK ; (8)7

37 * 1

GK ; >3

12

GK ; 7.76k

MK ; MG + GK

MK ; 3.6 + 7.76

MK ; 1.56k

MK ; ME + EK

1.56 ; 1 +EK

?.56k ; EK

_rhsk Gcref

MG ; 7 * ircbt

1

MG ; 7 * 1

1

MG ; 7k

GK ; g7

2i

GK ; (8)7

2 * 1

GK ; >3

3>

GK ; 9.6k

MK ; MG + GK

MK ; 7 + 9.6

MK ; 2.6k

MK ; ME + EK

2.6 ; 1 +EK

7/21/2019 Chapter 19 (Calculation of BM and KM; KM Curves)

21/23

ANC_YFW38

AC@AV@CYHDJ DB GK CJI MK= MK AVWRFQ

_cef 73db 71

1.6k ; EK

EK db rfatcjeu`cr gcref hs ?.56k

EK db prhsk gcref hs 1.6k

Cjswfr 39

Ehvfj1k

MK ; MG + GK

MK ; 7k + 7.?>1k

MK ; 9.?>1k

MK ; ME + EK

9.?>1k ; 1.6k + EK

?.6>1k ; EK

7/21/2019 Chapter 19 (Calculation of BM and KM; KM Curves)

22/23

ANC_YFW38

AC@AV@CYHDJ DB GK CJI MK= MK AVWRFQ

_cef 77db 71

Gcref whtn 3?k grfctn

GK ; g7

37i

GK ; (37)7

37 * 9

GK ; 1k

MK ; MG + GK

MK ; 7k + 1k

MK ; 6k

MK ; ME + EK

6k ; 1.6k + EK

3.6k ; EK

EK db tnf gcref whtn 3?k grfctn hs ?.6>1k

EK db tnf gcref whtn 37k grfctn hs 3.6k

Cjswfr 36

Ehvfj

7/21/2019 Chapter 19 (Calculation of BM and KM; KM Curves)

23/23

ANC_YFW38

AC@AV@CYHDJ DB GK CJI MK= MK AVWRFQ

_ 71 b 71

WI db BU ; Ihsp`cafkfjt db `de

Rd`ukf db `de

3.??? ; ?.57x1

Rd`ukf db `de

Rd`ukf db `de ; ?.57x1

x7* ircbt ; ?.57x

1

ircbt ; ?.57x

MG ; ircbt

7

MG ; ?.57x

7

MG ; ?.12x

GK ; g7

37i

GK ; x7

37 * ?.57x

GK ; 3x

>.29

GK ; ?.332x

MK + MG + GK

MK ; ?.12x + ?.332x

MK ; ?.952x

MK ; ME + EK

?.952x ; ?.6x + EK

-?.?79x ; EK

Ynct kfcjs

EK 0 ?

Qhjaf EK hs `fss tncj ?, tnus tnf g`dam acj jd b`dct whtn djf shif db tnf squcrf pcrc``f` td wctfr

`hjf.

-d?d-