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O;f"V vFkZ'kkL=k osQ fl¼kar




                    uksV          fuos'kd visf{kr izkfIr;ksa dks ^^vPNk** rFkk tksf[ke (σ) dks ^^cqjk** ekurk gS] fofoèk iksVZiQksfy;ks esa ls
                                  mlosQ vfèkeku] mnklhurk oØksa }kjk iznf'kZr gksrs gSaA ,d fuos'kd osQ mnklhurk oØ visf{kr izkfIr rFkk
                                  tksf[ke osQ chp mlosQ fofu;e (tradeoff) djus dh bPNk izdV djrs gSaA n{k lhek osQ lkFk&lkFk] ;s
                                  mnklhurk oØ ;g fuèkkZfjr djrs gSa fd dkSu lk fo'ks"k n{k iksVZiQksfy;ks og pqurk gSA ;g loksZÙke ;k
                                  b"Vre iksVZiQksfy;ks gSA
                                  fp=k 29-6 rhu mnklhurk oØ I ] I  rFkk I  n'kkZrk gSA mudh mQij dh vksj] ck,¡ ls nk,¡ <yku tksf[ke
                                                          1  2    3
                                  izkfIr fofue; iznf'kZr djrh gSA oØ I  oØ I  ls vfèkd vfèkeku rFkk oØ I  oØ I  ls vfèkd vfèkeku
                                                             2     1                      3     2
                                  iznf'kZr djrk gSA EF n{k lhek gSA P b"Vre iksVZiQksfy;ks dk fcanq gS ftlesa oØ EF oØ I  dks Nwrk
                                                                                                        2
                                  gSA fcanq A Hkh I  oØ ij gSA foaQrq ;g loksZÙke iksVZiQksfy;ks dk fcanq ugha gS D;ksafd ;g n{k lhek ls ckgj
                                              2
                                  gSA iqu%] I  oØ ij fcanq B b"Vre iksVZiQksfy;ks ugha gS D;ksafd ;g fuos'kd dks fuEurj tksf[ke izkfIr
                                          1
                                  vfèkeku iznku djrk gSA bl izdkj P b"Vre iksVZiQksfy;ks gS D;ksafd ;g fuos'kd osQ fy, mPpre tksf[ke
                                  izkfIr vfèkeku okys I  oØ rFkk n{k lhek EF osQ chp Li'kZ fcanq ij iM+rk gSA
                                                  2
                                                                     fp=k 29-6


                                                            Expected rate of return  Optimal  B I P 3  I 2  I 1  F


                                                                Protfolio


                                                                   A

                                                                    E
                                                               O
                                                                  Standard Deviation (Risk)



                                  iksVZiQksfy;ks fofoèkhdj.k }kjk tksf[ke esa deh
                                  (Risk Reduction through Portfolio Diversification)
                                  ,d fuos'kd] LVkWd cktkj esa vius fuos'k dk tksf[ke fofoèkhdj.k }kjk de dj ldrk gSA fofoèkhdj.k dk
                                  vFkZ gS vius fuos'k dks nks ;k vfèkd ifjlaifÙk;ksa ;k 'ks;jksa esa iSQykukA ;g fcYoqQy ^^,d gh Vksdjh esa lkjs
                                  vaMs u j[kus** osQ leku gksrk gSA tksf[ke dks de djus osQ fy, fuos'kd vius iksVZiQksfy;ks p;u esa
                                  fofoèkhdj.k dks ,d funZs'kd fl¼kar cukrk gSA og vius iksVZiQksfy;ks ij vkSlr izkfIr de fd, fcuk
                                  tksf[ke de djus osQ ;ksX; gksrk gSA iksVZiQksfy;ks fofoèkhdj.k dks le>us osQ fy,] eku yks fd ,d fuos'kd
                                  osQ ikl nks tksf[ke okyh ifjlaifÙk;k¡ BP (Hkkjr isVªksfy;e) 'ks;jksa rFkk SAIL (LVhy vFkkWfjVh vkWiQ
                                  bafM;k fyfeVsM) 'ks;jksa ij fuos'k djus osQ fy, 100 #- gSaA izR;sd 'ks;j dh dher 1 #- gSA izR;sd oaQiuh
                                  osQ 'ks;j ls rsth (boom) esa ykHk ikus dh 50 izfr'kr laHkkouk gS rFkk eanh esa Hkh ykHk dh 50 izfr'kr
                                  laHkkouk gSA
                                  vc ekuks fd og vius iwjs 100 #- BP osQ 'ks;j [kjhnus esa fuosf'kr dj nsrk gSA rsy m|ksx dh ,d rsth
                                  esa] ;g fuos'k mls 10 #- dh izkfIr rFkk eanh esa 2 #- dh izkfIr nsrk gSA rsth rFkk eanh osQ 50&50 izfr'kr
                                  volj fn, tkus ij] bl 'ks;j ls mldh visf{kr vkSlr izkfIr gksxh]
                                                              E  = -5 (10 #-) + -4 (2 #-) = 6 #-
                                                               R
                                                                              2
                                                                                           2
                                                               2
                                  bldk izlj.k (Variance)    (σ) = -5 (10 μ 6)  + -5 (2 μ6)  = 16 #-


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