# ΔΑΣΙΚΗ ΟΙΚΟΝΟΜΙΚΗ Ι_ΑΣΚΗΣΕΙΣ_ΟΙΚΟΝΟΜΙΚΑ ΜΑΘΗΜΑΤΙΚΑ_ΚΕΦ 14

• View
20

10

Embed Size (px)

DESCRIPTION

Γιο

Transcript

. Ph.D.

mtrigkas@for.auth.gr 2310 992697 6974287874 Marios Trigkas

- (.. ) (.. ), , .

, 10, .

: , , .

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 -

, 0 ' , p .

, , ( ) 0 :

-

.

, . -

- , 2 0 1,.

, .

, , .

, .

( , ) , .

, , , , , , , .

, ( ) . , , . -

n r n , p%.

n -

- r

1 100.000 . 8 (=6%).

n = x 1,0n = 100.000 x 1,068 = 100.000 x 1,594 = 159.400 .

, 159.400 . 8 , 6%, 100.000 .

-

- 2 5.000 . 31.12.2000 10.000 31.12.2012. =5%.

10.000 5.000 , 31.12.2000 (12 ). :

5.000 4.969.69 ( 10.000 12 ) 31.12.2012.

- 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 .

- , 12% ( ) . 10.000 1/4/2007 10.500 1/3/2008. 31/12/2011.

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 .

6 , , . 10 6%. 4.000 . 10 540 . ; . . . . 1. = 4.000

, 3.974,45 , 10 540 , 4.000 . .

-