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iekweI-14: boml Aqy toibn dw Xogdwn




            jykr pRqXwiSq puMjI lwB jW nukswn  g hY, qW mwinAqw hY ik invySk ies  (g) dy sMBwivXqw ivqrx    ÈØ‡
            (probability distribution) dy Apxy Anumwn dy AwDwr qy kMm krygw Aqy ieh vI minAqw hY ik ies sMBwvnw
            ivqrx dw pRqXwiSq mu`l jIro hY Aqy bWfW qy cwlU ibAwj dr r dy p`Dr qo svqMqr hY[
            ausdI invyS sucI iv`c mudrw dw M Anupwq Aqy bWfW dw B Anupwq rihNdw hY, ijQy M Aqy B doxW dw joV iek
            hY[ iesdw koeI mu`l irxwqmk nhI hY[ invyS sucI R dw pRiqPl hY:

                                        R = B (r +g) ijQy 0 ≤ B ≤ I

            ikauik g XdirciCk cr (random variable) hY ijhdw pRqXwiSq mu`l jIro hY iesleI invyS sucI qy pRiqPl hY:

                                              RE = mR = Br

            invyS sucI iv`c sMbD joiKm R dy mwnk ivcln (standard deviation) rwhI mwpI jWdI hY Bwv σR toibn ny
            qIn qrW dy invySkW dw alyK kIqw hY[ ies qrW dy invySk qW Euh hn ijnwƒ joiKm aTwx dw mjw AMdw hY
            Aqy auh v`D qo v`D joiKm auTwx dy leI  ApxW swrW DMn bWfW qy lgw iddy hn[ bWfW qo pRqXwiSq Awmdn dy
            bdly joiKm aTwdy hn[auh juAwirAw vrgy huMdy hn[ dujW vrg goqwKorW (plungers) dw hY[ ah jW qW Apxw
            swrw DMn bWfw iv`c lgw iddy hn jW ausƒ nkdI dy rup iv`c rKdy hn[ ieh goqwKor pRviriq dy lok jW qW sb
            kuJ dNwv qy lgw iddy hn, jW iblkul joiKm nhI aTwdy[
            pr ijAwdwqr invySk qIjy vrg dy hI huMdy hn[ auh joiKm invwrk (risk averters) Aqy ivivDk (diversi-
            fiers) hMudy hn[ joiKm invwrk nukswn dI aus joiKm qo bcdw hY jyVI mudrw dy bjwey bWf rKwx nwl sMbDq
            rihNdI hY[ auh kyvl aus AvsQw qy Aiqirkq joiKm aTwx ƒ iqAwr huMdy hn jd auhnwƒ ieh AwSw hovy ik
            bWf qy kuJ Aiqirkq pRiqPl (Awmdn) pRwpq hovygI pr Srq ieh hY ik jyVw v`D joiKm auTwdw hY auh Apxy
            nwl pRiqPl Awmdn qo v`D viriDAW lWdw hY[ iesleI auh ApxI invyS sucI qo ivivD bnwxgy Aqy mudrw
            Aqy nkdI dovy rKxgy[ jdik mudrw rKx nwl n qW koeI pRiqPl pRwpq huMdw hY Aqy n hI koeI joiKm, Pyr vI
            ieh pirsMpiqAW qo sb qo ijAwdw qrl rup iv`c hY ijsƒ kdy vI bWf Kirdx dy leI pRXog kIqw jw skdw
            hY[ joiKm invwrk dy joiKm Aqy pRqXwiSq pRiqPl dy AiDmwn dw pqw lgwx dy leI , toibn Dnwqmk Flwn
            vwly adwsInqw vkrW dw pRXog krdw hY, jo pRkt krdy hY ik joiKm invwrk v`D joiKm aTwx dy leI Aqy v`D
            pRqXwiSq pRiqPlW dI mMg krdw hY[ iesƒ icqr 14.2 iv`c ivKwieAw igAw hY ijsƒ SYiqj AkS joiKm (σR)
            ƒ Aqy AnUlMb AkS pRiqAwiSq pRiqPlW (σµR) nUM mwpdw hY[Or ryKw joiKm invwrk dI bjtryKw hY[ieh joiKm
            Aqy pRiqAwiSq pRiqPl dy auhnW sNXogW nMU ivAkq krdI hY ijnW dy ADwr qy auh Awpxy Dn dI invyS sucI nUM
            mudrw Aqy bWfW ivc lgWdw hY[I  Aqy I  adwsInqw vk`r hY[ adwsInqw vk`r dsdw hY ik auh pRiqAwiSq Pl
                                   1    2
            Aqy joiKm dy auhnW swry sMXogw dy pRiq adwsIn hY jo I  vk`r qy siQq hn[I  vk`r qy siQq ibMduAW  dI ApykSw
                                                  1               1
            aho I  qy siQq ibMdUAW nUM AiDmwn idMdw hY[pr joiKm invwrk nUM pRiqAwiSq pRiqPl Aqy joiKm dy iv`c sMquln
               2
            dI siQqI aus QW apl`bD hovygI ijs QW asdI bjt ryKw adwsInqw v`kr nUM spRS krygI[ bjt ryKw Aqy I
                                                                                          1
            vkr qy ieho ijhw ibMdU T hY[




                ‡≈√’      boml dy mwllucI sYDWiqk mq qy Apxy ivcwr dso[


            ic`qr dy incly ih`sy iv`c AnulMb vkr dI lMbweI ies sMpiq ƒ ibAwn krdI hY ijsƒ joiKm invwrx ApxI
            invySsucI nUN mudrw Aqy bWfW iv`c rKdw hY[OC ryKw joiKm dy bWfW iv`c rKI kul invySsucI dy ihsy dy Anupwq
            dy rup qy ibAwn krdI hY[ ies qrW ibNdu T qy lMb dy rup iv`c KIcI geI ryKw qy ibNdu E mudrw Aqy bWfW dw
            invySsucI imSirq inrDwirq krdw hY[ iedy iv`c OP bWf Aqy PW mudrw hY[




                                 LOVELY PROFESSIONAL UNIVERSITY                                               133
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