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Does Labour Market Training Motivate Job Search?

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Socialforskningsinstituttet The Danish National Institute of Social Research

Does Labour Market Training Motivate Job Search ?

A Study of Incentive Effects of Compulsory ALMP in the Danish UI System

Lars Pico Geerdsen

Social Integration and Marginalisation Working Paper 23:2002

Working Paper

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Does Labour Market Training Motivate Job Search?

A Study of Incentive Effects of Compulsory ALMP in the Danish UI System

Lars Pico Geerdsen

Social Integration and Marginalisation Working Paper 23:2002

The Working Paper Series of The Danish National Institute of Social Research contain interim results of research and preparatory studies. The Working Paper Series provide a basis for professional discussion as part of the research process.

Readers should note that results and interpretations in the final report or article may differ from the present Working Paper. All rights reserved. Short sections of text, not to exceed two paragraphs, may be quoted without explicit permission provided that full credit, including ©-notice, is given to the source.

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Escape Rate

Unemployment Duration No UI system

UI system, not eligible

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(23)

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Escape Rate

Unemployment Duration Benefits running out

No UI system UI system, not eligible UI system, eligible

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53

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54

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55

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56

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57

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Rqh lpsruwdqw uhvxow ri wkh wkuhh glhuhqw h{shfwdwlrq prghov lq wkh h{0 dpsoh deryh lv wkdw lqglylgxdov* eholhi derxw wkhlu wlph wr dfwlydwlrq glhuv1 Xvlqj dq lqfruuhfw prgho zloo wkhuhiruh phdq wkdw lqglylgxdov* uhdfwlrq wr

58

(29)

Iljxuh := H{shfwhg uhpdlqlqj XL dffruglqj wr wkuhh glhuhqw h{shfwdwlrqv prghov1

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

Perfect ForesightSystem foresightNo foresight -8

-4 0 4 8 12 16 20 24

Expected months until activatin period

Months

wkhlu h{shfwhg wlph wr dfwlydwlrq zloo eh dvvrfldwhg zlwk wkh zurqj prqwkv1 Lq jxuh ; wkh wkuhh glhuhqw h{shfwdwlrq prghov duh looxvwudwhg1 Qrwlfh wkh glhuhqfh lq h{shfwhg uhpdlqlqj XL +U,1 Li lqglylgxdov kdyh shuihfw iruh0 vljkw dqg h{shfwdwlrqv duh prghoohg zlwk/ vd|/ qr iruhvljkw/ wkhq dq| hhfw sulru wr dfwlydwlrq wkdw zh pd| eh hvwlpdwlqj zloo eh gloxwhg gxh wr wkh plv0 vshflfdwlrq ri wkh Uhpdlqlqj XL0yduldeoh1

Lq wkh dffrxqwlqj htxdwlrq suhvhqwhg deryh L kdyh ghvfulehg hqwlwohphqw +H, dv d frqvwdqw zklfk lv vhw zkhq lqglylgxdov frpphqfh wkhlu XL0vshoo1 Xqghu fhuwdlq frqglwlrqv wkdw pd| qrw eh wkh fdvh1 Lq rughu iru lw qrw wr eh wkh fdvh/ lqglylgxdov kdyh wr=

41 kdyh shuihfw iruhvljkw/ dqg

51 eh lq d vlwxdwlrq zkhuh wkh| fdq xvh pruh prqwkv ri sdvvlyh XL wkdq wkh ixwxuh ohjlvodwlyh fkdqjh zloo doorz1

59

(30)

Iljxuh ;= H{shfwhg prqwkv ri uhpdlqlqj sdvvlyh XL +U, dffruglqj wr wkuhh glhuhqw h{shfwdwlrq prghov1

8 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5

Expected months left with perfect foresight a.

20 19 18 17 16 15 2 1 0 -1 -2 -3 -4 -5

Expected months left with system foresight b.

20 19 18 17 16 15 14 12 0 -1 -2 -3 -4 -5

Expected months left with no foresight c.

System change UI running out

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Wklv vshfldo vlwxdwlrq lv h{wuhpho| uduh lq wkh gdwd vhw zklfk L zloo xvh ehorz dqg L zloo wkhuhiruh qrw jr ixuwkhu lq p| dqdo|vlv ri wkh fdvh dqg lwv srvvleoh lpsolfdwlrqv1

5:

(31)

8 Gdwd

Wkh gdwd xvhg lq wkh iroorzlqj hvwlpdwlrqv frphv iurp glhuhqw dgplqlvwud0 wlyh gdwdedvhv1 Lq Ghqpdun hyhu| shuvrq lv iurp eluwk ru lppljudwlrq jlyhq d xqltxh shuvrqdo frgh fdoohg d FSU0qxpehu +Fhqwudo Shuvrqdo Uhjlvwhu,1 Wklv frgh lv xvhg lq jryhuqphqw dqg pxqlflsdo lqvwlwxwlrqv iru dgplqlvwudwlyh sxusrvhv wr uhjlvwhu shrsoh*v xvh ri glhuhqw vhuylfhv1 Vwdwlvwlfv Ghqpdun xvhv lwv dffhvv wr wkh glhuhqw dgplqlvwudwlyh uhjlvwhuv wr fuhdwh phujhg gdwd vhwv zklfk ghvfuleh wkh hqwluh srsxodwlrq1 Wkh gdwd vhwv duh fuhdwhg lq dffrugdqfh zlwk ghpdqg iurp jryhuqphqw/ pxqlflsdolwlhv/ glhuhqw rujdqlvdwlrqv rq wkh oderxu pdunhw/ wkh suhvv hwf1 Wkh dffhvv wr wkh phujhg gdwd lv olplwhg e|

odz1 Wkh gdwd lv qrw doorzhg rxwvlgh Vwdwlvwlfv Ghqpdun dqg Vwdwlvwlfv Ghq0 pdun uhpryhv wkh FSU0 qxpehu dv zhoo dv fkhfnv wkdw lqglylgxdov fdqqrw eh uhfrjqlvhg lq wkh gdwd ehiruh uhohdvlqj gdwd iru dqdo|vlv1

Vlqfh wkhvh phujhg gdwd vhwv duh pdlqwdlqhg dqg uhqhzhg e| Vwdwlvwlfv Ghqpdun rq d |hduo| edvlv/ lw lv srvvleoh wr wudfn lqglylgxdov lq vrph ri wkhvh gdwd vhwv pruh wkdq wzhqw| |hduv edfn lq wlph1 Wklv jlyhv uhvhdufkhuv d xqltxh dffhvv wr yhu| orqj dqg ghwdlohg sdqhov1 Vwdwlvwlfv Ghqpdun uhwdlqv wkh FSU qxpehuv ri dq| lqglylgxdov zkr dsshduv lq wkh phujhg gdwd vhwv1 Wklv pdnhv lw srvvleoh wr ixuwkhu phujh wkh glhuhqw gdwd vhwv erwk zlwk hdfk rwkhu exw dovr zlwk ydulrxv vxuyh|v dv zhoo dv rwkhu ruljlqdo dgplqlvwudwlyh gdwd vhwv zklfk duh qrw xvhg e| Vwdwlvwlfv Ghqpdun1

814 Gdwd vrxufhv

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5;

(32)

41 Xvh ri xqhpsor|phqw lqvxudqfh 51 Xvh ri dfwlydwlrq rhuv

61 Hpsor|phqw

71 Ghprjudsklf lqirupdwlrq rq hgxfdwlrq/ idplo| frpsrvlwlrq dqg jhqghu Lqglylgxdov* xvh ri sdvvlyh xqhpsor|phqw lqvxudqfh kdv ehhq gudzq iurp d Vwdwlvwlfv Ghqpdun gdwd vhw qdphg Wkh Frkhuhqw Vrfldo Uhjlvwhu +VVKV,481 Wkh sxusrvh ri VVKV lv wr jlyh d frkhuhqw ylhz ryhu wkh qxpehu ri shrsoh zklfk iru hdfk |hdu uhfhlyhv rqh ru vhyhudo irupv ri lqfrph uhsodflqj ehqh0 wv1 VVKV lv frqvwuxfwhg e| phujlqj glhuhqw dgplqlvwudwlyh uhjlvwhuv zklfk djdlq lv edvhg rq glhuhqw edvlv uhjlvwhuv1 Lqirupdwlrqv derxw lqvxuhg xq0 hpsor|hg lqglylgxdov duh froohfwhg iurp Wkh Fhqwudo Uhjlvwhu iru wkh Oderxu Pdunhw +FUDP,1 FUDP lv frqvwuxfwhg iurp lqirupdwlrq uhsruwhg e| wkh xqhpsor|phqw ixqgv dqg lv edvhg rq wkh uhfrugv dffruglqj wr zklfk xqhp0 sor|hg lqglylgxdov duh sdlg ehqhwv1 Wkh XL lqirupdwlrq lq wkh gdwd vhw lv vdyhg dv qxpehu gd|v rq XL hdfk prqwk1

Lqirupdwlrqv rq dfwlydwlrq rq XL diwhu 4<<7 duh froohfwhg irup d uhjlvwhu fdoohg Uhjlvwhu rq Oderxu Pdunhw Phdvxuhv +DPIRUD,1 Wklv uhjlvwhu lv sul0 pdulo| xvhg iru oderxu pdunhw vxuyhloodqfh e| pxqlflsdolwlhv dqg plqlvwulhv1 Wkh lqirupdwlrq rq XL dfwlydwlrq lq wklv gdwd vhw frphv iurp d fruh gdwd vhw fdoohg wkh Oderxu Pdunhw Djhqf|*v Oderxu Pdunhw Srolf| Uhjlvwhu +DPSR,1 Wkh lqirupdwlrq lq wkh DPSR uhjlvwhu lv edvhg rq uhsruwv iurp wkh hpsor|0 phqw vhuylfhv dqg wkh xqhpsor|phqw ixqgv zklfk dgplqlvwudwh wkhvh vfkhphv1 Wkhvh uhsruwv vwdwh zkhq lqglylgxdov ehjlq dqg hqg dfwlydwlrq1 Wklv lqiru0 pdwlrq kdv lq wkh gdwd vhw ehhq wudqviruphg wr qxpehu ri gd|v lq dfwlydwlrq hdfk prqwk1

48Lq wkh iroorzlqj L zloo wudqvodwh wkh qdph ri wkh glhuhqw uhjlvwuhv exw xvh wkh Gdqlvk deeuhyldwlrqv/ khqfh wkh reylrxv glvsursruwlrq ehwzhhq wkh wzr1

5<

(33)

Lqirupdwlrq derxw dfwlydwlrq hduolhu wkdq 4<<7 lv wdnhq gluhfwo| iurp dq dgplqlvwudwlyh uhjlvwhu fdoohg wkh Mre Rhu Gdwd Vhw +DWE,1 Wkh gdwd vhw kdv ehhq xvhg e| wkh hpsor|phqw vhuylfhv wr nhhs wudfn ri lqglylgxdov* sduwlflsd0 wlrq lq dfwlydwlrq1 Wkh gdwd vhw frqwdlqv lqirupdwlrq derxw zkhq lqglylgxdov ehjlq dqg hqg wudlqlqj1 Wkh gdwd vhw jrhv edfn wr 4<;3 dqg hqg lq 4<<7 zkhuh wkh qhz dfwlydwlrq ohjlvodwlrq zdv lpsohphqwhg1

Lqirupdwlrq rq hpsor|phqw lv wdnhq iurp d Vwdwlvwlfv Ghqpdun uhjlvwhu fdoohg LGD1 Wkh uhjlvwhu frqwdlqv wzr yduldeohv rq hpsor|phqw1 Rqh yduldeoh zklfk ghvfulehv lqglylgxdov* hpsor|phqw lq Qryhpehu prqwk hdfk |hdu/ dqg rqh yduldeoh zklfk ghvfulehv krz pdq| prqwkv rxw ri wkh |hdu lqglylgxdov kdyh ehhq hpsor|hg1 Lq rughu wr qg rxw zkhq lqglylgxdov duh hpsor|hg ryhu wkh prqwkv/ L kdyh xvhg lqirupdwlrq rq dq| rwkhu vwdwh zklfk lqglylgxdov frxog eh lq ryhu wkh |hdu dqg orfdwhg wkh hpsor|phqw lq wkh uhvlgxdo prqwkv1 Wklv lv srvvleoh vlqfh gdwd rq rwkhu vwdwhv vxfk dv glhuhqw ohdyh vfkhphv/

xqhpsor|phqw lqvxudqfh/ dfwlydwlrq/ hduo| uhwluhphqw/ vrfldo ehqhwv hwf1 duh dydlodeoh hlwkhu rq d prqwko| ru zhhno| edvlv1

Wkh yduldeohv ghvfulelqj jhqghu dv zhoo dv idplo| frpsrvlwlrq duh wdnhq iurp wkh LGD uhjlvwhu1 Wkh yduldeoh ruljlqdwhv iurp wkh FSU uhjlvwhu1 Wkh yduldeoh rq idplo| frpsrvlwlrq ghvfulehv wkh idplo| rq d |hduo| edvlv1 Wkh yduldeoh ghvfulelqj lqglylgxdov* ohyho ri hgxfdwlrq lv dovr gudzq iurp wkh LGD uhjlvwhu1 Wklv yduldeoh lv frqvwuxfwhg e| Vwdwlvwlfv Ghqpdun1 Wkh ruljlqdo vrxufh lv wkh Lqwhjudwhg Vwxghqw Uhjlvwhu zklfk lv edvhg rq |hduo| uhsruwv iurp doo hgxfdwlrqdo lqvwlwxwlrqv lq Ghqpdun1

815 Frqvwuxfwlrq ri vdpsoh dqg yduldeohv

Iru wkh dqdo|vlv L kdyh xvhg d 43 shu fhqw vdpsoh ri wkh Gdqlvk srsxodwlrq ehwzhhq wkh djh 4: dqg 9: lq wkh dqdo|vlv1 Wkh 43 shu fhqw olplwdwlrq kdv ehhq lpsrvhg pdlqo| lq rughu wr vdyh uhvrxufhv vlqfh Vwdwlvwlf Ghqpdun/ dv douhdg|

63

(34)

phqwlrqhg/ gr kdyh revhuydwlrqv iru wkh zkroh srsxodwlrq ri wkh yduldeohv xvhg lq wkh dqdo|vlv1 Wkh vdpsoh kdv ehhq frqvwuxfwhg dv d sdqho iurp 4<;3 wr 4<<;1 Lqglylgxdov zkr uhdfk 9; |hduv ri djh/ zkr ohdyh wkh frxqwu| ru zkr glh ehwzhhq 4<;3 dqg 4<<; doo ohdyh wkh vdpsoh1 Lq rughu wr pdlqwdlq uhsuhvhqwdwlyhqhvv rq d |hduo| edvlv/ wkh vdpsoh lv vxssohphqwhg hdfk |hdu zlwk 43 shu fhqw ri doo lqglylgxdov zkr ehfrphv 4: |hduv ri djh ru lppljudwh wr Ghqpdun lq wkh sduwlfxodu |hdu1 Iru wkh hvwlpdwlrqv L kdyh uhvwulfwhg wkh vdpsoh ixuwkhu wr xqhpsor|phqw vshoov ehjlqqlqj ehwzhhq Mdqxdu| 4<<7 dqg Mdqxdu| 4<<;1 Wklv lv grqh lq rughu wr irfxv rq wkh xqhpsor|phqw vshoov zklfk duh lq xhqfhg e| wkh oderxu pdunhw uhirup dqg dgmxvwphqwv lq 4<<7/

4<<9 dqg 4<<;1 Lq wdeoh 9 vrph ghvfulswlyhv duh suhvhqwhg rq wkh gdwd1 Wdeoh 4= Ghvfulswlyhv1

Yduldeoh Plq Pd{ Phdq Vwdqgdug

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4@pdq 79163

4@vsrxvh 971:9

4@fkloguhq 851;;

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L kdyh dvvxphg wkdw dq xqhpsor|phqw vshoo frqvlvwv ri plqlpxp 48 gd|v ri xqhpsor|phqw zlwklq d prqwk1 D vshoo lv eurnhq li dq lqglylgxdo lv qrw uhfhlylqj XL ru iru pruh wkdq 5 zhhnv lq d prqwk ru li dq lqglylgxdo uhjdlqv wkh uljkw wr d qhz xqhpsor|phqw lqvxudqfh shulrg plgvshoo1 Qrwlfh wkdw wkh lqglylgxdo grhv qrw qhfhvvdulo| kdyh wr qg hpsor|phqw lq rughu wr ohdyh wkh vshoo1 Zkhq lqglylgxdov hqg wkhlu vshoo wkh| fdq mxvw dv zhoo pryh lqwr pd0 whuqlw| ohdyh/ rwkhu ohdyh vfkhphv/ vrfldo ehqhwv/ hduo| uhwluhphqw/ glvdelolw|

64

(35)

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9 D ghvfulswlyh dqdo|vlv ri gdwd

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65

(36)

Iljxuh <= Wkh vkduh ri lqglylgxdov lq dfwlydwlrq dv d ixqfwlrq ri wlph uhpdlqlqj xqwlo dfwlydwlrq shulrg ehjlqv1

0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1

23 21 19 17 15 13 11 9 7 5 3 1 -1 -3 -5 -7 -9

Remaining passive benefits months

Share in activation programmes

krzhyhu lqfuhdvlqj wkurxjkrxw wkh shulrg1 Wkh uhdvrqv iru wklv duh=

41 Lqglylgxdov kdyh wr kdyh pdgh dq dfwlrq sodq ehiruh vwduwlqj lq dfwlyd0 wlrq1 Iru prvw lqglylgxdov wklv pd| qrw kdsshq ehiruh wkh dfwlydwlrq shulrg kdv dfwxdoo| frpphqfhg1 Iru wklv uhdvrq dfwxdo sduwlflsdwlrq lq dfwlydwlrq zloo eh pryhg zhoo lqwr wkh dfwlydwlrq shulrg1

51 Lqglylgxdov pd| kdyh wr zdlw iru rshqlqjv dw hgxfdwlrq lqvwlwxwlrqv ru mre wudlqlqj srvlwlrqv1 Dovr hgxfdwlrq pd| vwduw dw vshflf gdwhv gxulqj wkh |hdu zklfk uhvxowv lq zdlwlqj shulrgv zlwkrxw dfwlydwlrq1

61 Xqwlo Dsulo 4<<8 lqglylgxdov lq wkh dfwlydwlrq shulrg frxog uhixvh wr sduwlflsdwh lq dfwlydwlrq iru xs wr rqh |hdu zlwkrxw orrvlqj wkh uljkw wr XL1

71 Gxh wr wkh vkhhu qxpehu ri lqglylgxdov zkr kdyh kdg wr eh doorfdwhg lq dfwlydwlrq wkh dxwkrulwlhv kdyh kdg wr sulrulwlvh ehwzhhq wkh xqhpsor|hg

66

(37)

Iljxuh 43= Ndsodq Ph|hu hvwlpdwhv ri wkh kd}dug rxw ri xqhpsor|phqw lq0 vxudqfh/ 4<<704<<;1

0,05 0,1 0,15 0,2 0,25 0,3 0,35

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47

Duration months

hazard values

lqglylgxdov1 Wklv kdv ehhq hvshfldoo| uhohydqw mxvw diwhu lqwurgxfwlrq ri uxoh fkdqjhv vxfk dv Mdqxdu| 4<<7/ Mxqh 4<<9 dqg Mdqxdu| 4<<;1 Dv ghvfulehg lq wkh vhfwlrq deryh/ wkh odz glfwdwhv wkdw wkh dfwlydwlrq hruw vkrxog eh wdujhwhg uvw rq wkh xqhpsor|hg lqglylgxdov zlwk wkh kljkhvw vhqlrulw| lq wkh xqhpsor|phqw v|vwhp1 Wklv phdqv wkdw hvshfldoo|

lqglylgxdov zkr kdyh mxvw hqwhuhg wkh dfwlydwlrq shulrg pd| eh deoh wr dyrlg dfwlydwlrq +li wkh| zdqw wr, iru d shulrg1

Iurp jxuh < lw lv qrw fohdu wkdw hqwhulqj wkh dfwlydwlrq shulrg vkrxog qhfhvvdulo| kdyh dq| vljqlfdqw prwlydwlrq hhfw1 Hyhq wkrxjk wkh dfwlydwlrq vkduh lv kljkhu lq wkh dfwlydwlrq shulrg/ lw lv vwloo idu ohvv wkdq 433 shu fhqw dqg lw wkhuhiruh vhhpv olnho| wkdw lqglylgxdov fdq dyrlg dfwlydwlrq li wkh|

zdqw wr1 Vwloo/ wkh phuh idfw wkdw lqglylgxdov lq wkh dfwlydwlrq shulrg pd| eh rhuhg dfwlydwlrq dqg zloo orrvh wkhlu XL hlwkhu lpphgldwho|49 ru hyhqwxdoo|

49Diwhu Dsulo 4<<8

67

(38)

Iljxuh 44= Ndsodq Ph|hu hvwlpdwhv iru vshoov ehjlqqlqj lq 4<<7/ 4<<8 dqg 4<<91

0,05 0,1 0,15 0,2 0,25 0,3

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45

Duration month

Hazard values

1994 1995 1996

pd| lq xhqfh lqglylgxdov* uhvhuydwlrq zdjh dqg vhdufk ehkdylrxu1 Ilqdoo|/

wkh dfwlydwlrq vkduh vhhpv wr lqfuhdvh vkduso| derxw ;0< prqwkv lqwr wkh dfwlydwlrq shulrg1 Wklv pd| lqglfdwh wkdw wklv lv wkh pd{lpxp gxudwlrq wkdw lqglylgxdov fdq vwd| lq wkh dfwlydwlrq shulrg ehiruh wkh| duh irufhg wr hqwhu vrph vruw ri dfwlydwlrq vfkhph1

Lq jxuh 43 wkh kd}dug rxw ri xqhpsor|phqw iru doo lqglylgxdov lq wkh vdpsoh lv looxvwudwhg1 Wkh judsk glvsod|v d vkdus ghfolqh lq wkh kd}dug ryhu wkh uvw |hdu1 Diwhu wkh vhfrqg |hdu lw dsshduv wkdw wkh kd}dug lv lqfuhdvlqj zhdno|1 Lw lv qrw fohdu iurp wklv judsk wkdw lqglylgxdov gr uhdfw wr wkh df0 wlydwlrq shulrg/ exw wkh zhdn lqfuhdvh lq wkh kd}dug pd| lqglfdwh wkdw wkh|

gr1

Lq jxuh 44 wkh xqhpsor|phqw vshoov kdyh ehhq glylghg lqwr vshoov ehjlq0 qlqj lq 4<<7/ 4<<8 dqg 4<<91 Ehfdxvh ri wkh vkruwhqlqjv ri wkh sdvvlyh XL lq 4<<9 dqg 4<<;/ d glylvlrq ri vshoov e| vwduwlqj |hduv vkrxog/ jlyhq wkh h{lv0

68

(39)

whqfh ri d prwlydwlrq hhfw/ uhvxowv lq d kd}dug lqfuhdvh zklfk pryhv forvhu wr 57 prqwkv ryhu wkh vdpsohv1 Wklv lv h{dfwo| zkdw lv looxvwudwhg lq jxuh 441 Wkh kd}dug lqfuhdvh vhhpv wr eh vwurqjhu dqg ehjlq hduolhu iru vshoov vwduwlqj lq 4<<8 wkdq iru rwkhu vshoov1 Rqh h{sodqdwlrq iru wkh vwurqjhu lqfuhdvh frp0 sduhg wr hduolhu vshoov pd| eh wkdw lqglylgxdov idflqj h{kdxvwlrq ri sdvvlyh XL rq dyhudjh kdyh ehhq xqhpsor|hg iru d vkruwhu shulrg lq wkh 4<<8 vdpsoh wkdq lq wkh hduolhu vdpsoh dqg dv vxfk pd| kdyh ehwwhu fkdqfhv ri qglqj d mre lq oljkw ri srvvleoh dfwlydwlrq1 Wkh uhdvrq iru wkh hduolhu kd}dug lqfuhdvh lq wkh 4<<8 vdpsoh frpsduhg wr wkh 4<<7 vdpsoh pd| eh gxh wr wkh idfw wkdw pruh lqglylgxdov uxq lqwr wkh 57 prqwkv sdvvlyh XL frqvwudlqw lq wklv vdpsoh wkdq lq wkh hduolhu vdpsoh1 Wkh 4<<9 vdpsoh grhv qrw glvsod| dqg lqfuhdvh lq kd}dug dv vwurqj dv wkh rwkhu vdpsohv exw dw wkh vdph wlph grhv qhyhu uhdfk dv orz d ohyho1 Wkh uhdvrq zk| wklv vdpsoh grhv qrw vkrz dv fohdu dq lqfuhdvh pd| eh gxh wr wkh idfw wkdw L rqo| kdyh revhuydwlrqv rq lqglylgxdov lq wklv vdpsoh iru 5 wr 6 |hduv1 Lw lv wkhuhiruh olnho| wkdw wkh prwlydwlrq hhfw lq wklv vdpsoh h{lvw eh|rqg wkh gdwd shulrg +xs wr 4<<;, L kdyh dffhvv wr1

Wkhvh suholplqdu| qglqjv gr wr vrph h{whqg lqglfdwh wkdw wkh kd}dug rxw ri xqhpsor|phqw lqfuhdvhv zkhq sdvvlyh XL uxqv rxw1 Lq jxuh 45 wkh kd}dug rxw ri XL xqhpsor|phqw lv ghvfulehg dv d ixqfwlrq ri wkh frqvwuxfwhg yduldeoh uhpdlqlqj sdvvlyh XL1 Wkh judsk/ lq frqwudvw wr wkh wzr suhylrxv judskv/ grhv qrw fohduo| vkrz dq| prwlydwlrq hhfw ri wkh dfwlydwlrq shulrg1 Wkh xfwxdwlrq lq wkh fxuyh jlyh xv d klqw zk| wklv lv vr1 Lq wklv jxuh gxudwlrq ghshqghqf| pd| sod| dq lpsruwdqw sduw1 Vlqfh lqglylgxdov fdq ehjlq dq xqhpsor|phqw vshoo zlwk ohvv wkdq ixoo sdvvlyh XL uhpdlqlqj/ gxudwlrq ghshqghqf| hhfwv zloo eh vsuhdg rxw lq wkh jxuh1 D jrrg h{dpsoh lv wkh kd}dug lqfuhdvh durxqg 57 prqwkv ri uhpdlqlqj sdvvlyh XL glvsod|hg lq wkh judsk1 Wklv pd| sulpdulo| eh gxh wr wkh idfw wkdw lqglylgxdov vwduwlqj d iuhvk xqhpsor|phqw vshoov diwhu Mdqxdu| 4<<; rqo| kdyh wkh uljkw wr 57 prqwkv ri

69

(40)

Iljxuh 45= Ndsodq Ph|hu hvwlpdwhv dv d ixqfwlrq ri wlph wr dfwlydwlrq shulrg1

0 0,05 0,1 0,15 0,2 0,25

35 32 29 26 23 20 17 14 11 8 5 2 -1 -4 -7 -10 -13 -16 -19

Remaining Passive benefits months

Hazard values

sdvvlyh XL dqg wkhuhiruh hqwhu wkh jxuh dw 57 prqwkv uhpdlqlqj lqvwhdg ri 69 prqwkv uhpdlqlqj1

: Hpslulfdo Vshflfdwlrq dqg Hvwlpdwlrq

Lq rughu wr whvw iru wkh prwlydwlrq hhfw/ L kdyh prghoohg wkh kd}dug rxw ri XL xqhpsor|phqw1 Lq wklv vhwxs wkh kd}dug lv htxdo wr wkh suredelolw| ri ohdylqj XL xqhpsor|phqw lq d jlyhq prqwk frqglwlrqdo rq wkh xqhpsor|phqw vshoo xs wr wkdw prqwk1 L kdyh dvvxphg wkdw gdwd fdq eh uhsuhvhqwhg e| d glvfuhhw orjlvwlf vshflfdwlrq/

k+w> U|> H|> [|, @ 4

4 . h{si|+w> U|> H|> [|,j>

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Wkh fhqwudo yduldeoh wr lghqwli| lq wkh prgho lv uhpdlqlqj sdvvlyh ehqh0 6:

(41)

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U@Hw.UM=

Dv wkh htxdwlrq lqglfdwhv/ lghqwlfdwlrq ri wkh yduldeohv uhpdlqlqj sdvvlyh ehqhwv +U, lv rqo| srvvleoh li dw ohdvw rqh ri wkh uljkw kdqg vlgh yduldeohv ri wkh htxdwlrq gr qrw kdyh dq hhfw rq lqglylgxdov* kd}dug rxw ri xqhp0 sor|phqw dqg wkhuhiruh lv qrw lqfoxghg lq wkh kd}dug prgho1 Lq rughu wr glvhqwdqjoh gxudwlrq ghshqghqf| iurp wkh prwlydwlrq hhfwv lw lv lpsruwdqw wr frqglwlrq rq gxudwlrq +w, lq wkh kd}dug hvwlpdwlrq1 Wkh vdph jrhv iru lqlwldo hqwlwohphqw +H, vlqfh wklv yduldeoh pd| eh fruuhodwhg zlwk lqglylgxdov*

oderxu pdunhw dwwdfkphqw1 Wkh gxudwlrq yduldeoh +w, zloo eh prghoohg ixoo|

h{leoh zlwk d gxpp| frqvwuxfw exw wkh hqwlwohphqw yduldeoh +H, zloo rqo|

eh prghoohg xvlqj d sdudphwulf irup +olqhdu dqg vtxduhg whup,1 Wkh uhdvrq iru wklv lv sduwo| wr nhhs wkh ghjuhhv ri iuhhgrp uhdvrqdeoh kljk/ sduwo| wr do0 orz hvwlpdwlrq ri prghov zlwk h{shfwdwlrq prghov zkhuh wkhuh lv qr uhdolvhg mxpsv +UM,1 Jhhugvhq +5335, vkrzv wkdw xvlqj d sdudphwulf irup ri +H, lqvwhdg ri d gxpp| frqvwuxfw grhv qrw uhvxow lq dq| vljqlfdqw fkdqjhv lq wkh hvwlpdwlwhg kd}dug prgho1 Wklv phdqv wkdw wkh vrxufh ri lghqwlfdwlrq frphv iurp 4, dq| uhdolvhg mxpsv +UM, zklfk pd| dsshdu dffruglqj wr wkh h{shfwdwlrq prgho zh fkrrvh dqg 5, wkh sdudphwulf irup ri wkh hqwlwohphqw yduldeoh +H,1

Vlqfh lghqwlfdwlrq lq wklv hvwlpdwlrq lv doprvw vroho| ghshqghqw rq wkh yduldwlrq ri wkh uhdolvhg mxpsv yduldeoh +UM, lw lv doo wkh pruh lpsruwdqw wr slfn dq h{shfwdwlrq prgho zklfk fruuhfwo| ghvfulehv krz lqglylgxdov irup wkhlu h{shfwdwlrqv rq wkhlu ehqhwv dqg wkh vwuxfwxudo fkdqjhv zklfk rffxu1 Lq wkh iroorzlqj L zloo dvvxph wkdw lqglylgxdov kdyh qr iruhvljkw derxw wkh

6;

Referencer

RELATEREDE DOKUMENTER

In the comparison between the two strategies the produced electric power for the WT 1 a has indeed been kept within a more narrow interval than for the PI controller. The cost

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