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smStI ArQSwsqr dy isDWq




                         È؇     bnwnW cwihdw hY ikauik B`ivK dI pRwpiqAw smwn vqrmwn rwiS qo G`t mu`lvwn hY[ aDmI nvy invyS qy B`ivK
                                 pRwpiqAW Aqy vqrmwn iek muSq Krc dy iv`c AMqr nhI jwx skdw[
                                 kIns ny sMpiq qo iesdy jIvn kwl dy dorwx ApyiSq swlwnw sUD pRiqPl dy leI “swlwnw” Sbd dw pRXog kIqw
                                 hY[ hr swl qy ijny swlW dy leI ieh vrqmwn qo dur hY, b`tw lgwkr, ien (BwvI) swlW dy vrqmwn mu`l ƒ
                                 pRwpq kIqw jw skdw hY[ b`tw lgwx dy leI, ckrvirqI ibAwj dI gxnw ƒ dUjI idSw v`l pRXog krxw huMdw hY[
                                 jykr iek mulDn rkm P,n swlW leI ckrvirDI ibAwj qy idqI jWdI hY, ieh sMicq hokr A DMnrwiS ho jwvygI,
                                 ies qrW dI A = P(1 +r) , ijQy r ibAwj dI dr hY[ dUjy SbdW iv`c, jykr A,r Aqy n pRwpq hY, P dw mwn P
                                                    n
                                 =A/(1 +r)  dy rU5 iv`c idqw jw skdw hY[ ieQy, BwvI Awmdn Aqy pRiqPl A ƒ r dy brwbr b`tw ilgwieAw
                                         n
                                 igAw smJw jw skdw hY[ ies suqr ƒ iek insixcq smy kwl qo bwd pRwpq hox vwlI Awmdn dy vrqmwn mu`l
                                 ƒ pRwpq krx iv`c pRXog kIqw jw skdw hY[ iesI qrW, jykr SuD (BwvI) pRwpiq Aqy (vrqmwn) suru dI lwgq
                                 dI hoeI hovy, qW AsI b`tw dr (pRwpqI dr) pRwpq kr skdy hY[ adwhrx dy leI, jykr iek Prm iek puMjIgq
                                 apskr ƒ 1,00,000 rupey iv`c KirddI hY, ijdy nwl hux qo do swlW bwd 1,21,000 rupey dI iekmuSq SuD
                                 pRwpqI pRwpq krx dI kwmnw krdI hY qW swlwnw pRwpqI dr ƒ ies suqr rwhI pRwpq kIqw jw skdw hY[ ijQy,
                                                                         1,21,000
                                                            1,00,000  =
                                                                          (1 + r) 2

                                                                          1,21,000
                                                                1 + r   =         = 1.1
                                                                          1,00,000
                                                                   r   =   0.10 = 10 %

                                 vwsqivk jIvn iv`c pRwpiqAw pMujIgq sMpiq dy jIvn dy lgwqwr pRwpq huMdI hY[ mwinAw, ApyiSq swlwnw SuD
                                 pRwpiqAW dI SMrKlW A ,A ,A ,………….. A  hY ijQy ADoiliKq swl dy pRqIk hY[ P ,P ,P ,………….. P
                                                  1  2  3          n                           1  2  3          n
                                 kRmS auhnW dy vrqmwn mul hn[ ApyiSq swlwnw SuD pRwpiqAw dw kul vrqmwn mul P +P +P ,…………+P
                                                                                               1  2  3          n
                                 hY[
                                                                          A      A             A
                                 Aqy,                            PV  =     1  +    2  + ...........  n
                                                                           +
                                                                         (1r ) (1r  ) 2      (1r ) n
                                                                                 +
                                                                                               +
                                 ieQy, PV dw Bwv ArQ puMjIgq sMpiq invyS nwl ApyiSq Awmdn dy BwvI pRvwh dy kul vMifAw vqrmwn mul qo hY[
                                                                          A 1  ,  A 2  ,  A 3  ,...........,  A n
                                                                         (1r+  ) (1r+  ) (1r+  ) 3  (1r+  ) n
                                                                                   2

                                 Awid mdyN pihly swl, du`jy swl, qIjy swl Aqy n vyN swl dy AMq iv`c ApykiSq Awmdn pRvwh pRwieX (sivk-
                                 wirA) dy vrqmwn mu`l nUM pRsquq krdI hY[
                                 hux ,iek mhq`vpurx pRSn aTdw hY ik ky invyS pirXojnw iv`c h`Q pwauxw cwihdw jW nhIN[ jy pUMjIgq vsquAW
                                 dI lwgq pRiqAwiSq pRwpiqAW dy ku`l vrqmwn mu`l qoN G`t hY,invyS pirXojnw lwBpRd huMdI hY[ pr, jy vsqu
                                 dI lwgq pRwpiqAW dy vrqmwn  mu`l qoN v`D hY ,qW invyS iv`c h`Q nhIN  pwaxw cwihdw[ jdoN doNvyN kyvl brwbr
                                 huMdy hn, invyS adwsInqw dw ivSw bx jwNdw hY[
                                 adwhrx (Illustration)

                                 5 swl dy AwriQk jIvn dw iek XMqr hr swl 1,000 rupey pRwpiq idMdw hY[iesdI vrqmwn lwgq 3,500
                                 rupey hY Aqy ibAwj dr 12 pRiqSq hY[ kI ies XMqr iv`c invyS krnw PwiedymMd rY?






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