ΔΑΣΙΚΗ ΟΙΚΟΝΟΜΙΚΗ Ι_ΑΣΚΗΣΕΙΣ_ΟΙΚΟΝΟΜΙΚΑ ΜΑΘΗΜΑΤΙΚΑ_ΚΕΦ 14

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    14-Dec-2015

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<p>. Ph.D. </p> <p>mtrigkas@for.auth.gr 2310 992697 6974287874 Marios Trigkas</p> <p> - (.. ) (.. ), , .</p> <p> , 10, . </p> <p> : , , .</p> <p> 0 (.. n), (.. ), n, n 0 p, , , n , n. 1 : 0+00,0p = 0(1 + 0,0p) = K01,0p 2 : 01,0p + (01,0p)0,0p = 0.1,0p(1 + 0,0p) = 01,0p2 ... :.............................................. ... :.............................................. n : K0l,0p n-1 +(K0l,0p n-1 )0,0p = K0l,0p n-1 (1+0,0p) == K0l,0pn = Kn (1). n = 01,0pn - </p> <p> , 0 ' , p .</p> <p>, , ( ) 0 :</p> <p> - </p> <p> . </p> <p> , . - </p> <p> - , 2 0 1,.</p> <p> , . </p> <p> , , . </p> <p> , .</p> <p> ( , ) , . </p> <p> , , , , , , , .</p> <p> , ( ) . , , . - </p> <p> n r n , p%.</p> <p>n - </p> <p> - r </p> <p> 1 100.000 . 8 (=6%).</p> <p>n = x 1,0n = 100.000 x 1,068 = 100.000 x 1,594 = 159.400 .</p> <p>, 159.400 . 8 , 6%, 100.000 .</p> <p> - </p> <p> - 2 5.000 . 31.12.2000 10.000 31.12.2012. =5%.</p> <p> 10.000 5.000 , 31.12.2000 (12 ). : </p> <p> 5.000 4.969.69 ( 10.000 12 ) 31.12.2012.</p> <p> - 10 . 10.000 4% 4 , 5% 6 6 . 10 . , . 4:4=1%, 5:2=2,5%. 4 :n = x 1,0n = 10.000 x 1,0116 = 10.000 x 1,172579 = 11.725,79 . n=16 4 16 . 6 : n = x 1,0n = 11.725,79 x 1,02512 = 11.725,79 x 1,344889 = 15.769,88 . n=12 6 12 .</p> <p> - , 12% ( ) . 10.000 1/4/2007 10.500 1/3/2008. 31/12/2011.</p> <p> 3 9 , 45 , 2 10 , 34 . 12% : 12 = 1%. 31/12/2011: 1 = 1 x 1,0n = 10.000 x 1,0145 = 10.000 x 1,564811 = 15.648,11 . 31/12/2011: 2 = 2 x 1,0n = 10.500 x 1,0134 = 10.800 x 1,402577 = 15.147,83 . 31/12/201 .</p> <p> 6 , , . 10 6%. 4.000 . 10 540 . ; . . . . 1. = 4.000 </p> <p> , 3.974,45 , 10 540 , 4.000 . .</p> <p> - </p>