. . , , . . . % - , . . % .
.
. . n. ( = %) = 360 , % - = 365(366) .
1. P ( ) = 50 . n = 0,5 i = 200% . S.
S=P(1+in) = 50(1+0,5*2)=100 .
2. 10 . 2.03 11.12 180% . . ) % (365/365)
) % (365/360)
) % (360/360)
S=P(1+in), =10 , i=1,8.
) n=284/366, S=10(1+284*1,8/366)=23,97
) n=284/360, S=10(1+284*1,8/360)=24,2
) n=279/360, S=10(1+279*1,8/360)=23,95
3. 10.02.97 20.11.97. 22% . , 6 . . , , .
) S = 6 (1+283*0,22/365) = 7,019
) S = 6 (1+283*0,22/360) = 7,033
) S = 6 (1+279*0,22/360) = 7,023
4. 20 . . 3,5 . % 150%, 10%. .
S = 20 (1+1,5+0,5(1,6+1,7+1,8+1,9+2)) = 140 .,
. . = 140/20 = 7
.
.
5. , 3 . , 90 , 10% .
P = S /(1 + in) = 3000/(1+0,1*90/365)=2927,8
() 1+in. . : ( ). . . . - (). - %.
6. 180 310 . 16% . ? ( 365 ). ?
|
|
P = S /(1 + in) = 310 000/(1+0,16*180/365) = 287 328
S-P = 310 287 = 23
7. , 150 7,5 . . i=27%, 365 .
P = S /(1 + in) = 7,5/(1+0,27*150/365)=6,75 .
8. 0,5 50%. , , , 2 . .
P = S (1 - in) = 2(1-0,5*0,5) = 1,5 . .
S-P = 2 - 1,5 = 0,5 .
9. 40 . 50% . , 30 . .
P = S (1 - in), n = (1-P/S)/i
S>P, n = (1-30/40)/0,5 = 0,5
10. 1000$ . 1500 /$, 1820 /$ . 220%, 15%. 3 . ? $ $?
, , $: 1000*1500 = 1500000 , i=220%, n = ¼, S=P(1+in)=1500000*(1+2,2*1/4)=2325000, 2325000/1820 = 1277,47 $
: i = 15%, n = ¼, S=P(1+in)=1000 (1+0,15*1/4)=1037,5$
.
1037,5 * = 2325000, 1$ = 2240,9 .
11. = 2,6 . . 400 . . 700 . . 300 . . 100 . . 0, 1, 2, 3 .
0=400, 1=0+700=1100, 2=1+300=1400, 3=2+100=1500
= / . = 2,6 ./ 2 = 2600/1400 = 1,86.
. : 1) . q = S2 S1 = P (1+in) R(1+in), R . 2) % K1=D0(1+in)-R, R , D0 . .
.
12. , 1 N = 5 15,5% ?
S = P(1+i)N = 1000(1+0,155)5 = 2055 .
. , 10 000 8620 . 11.01, 3.05 .
= / , = 10000 8620 = 1740, = 1740/8260 = 0,21065, = 0,21065*365/112 = 0,68 = 68 %.
. 10 000 8620 . 11.01, 3.05 . , 30 60%.
10000 (1 0,6/12) = 9500, 9500-8260=1240.
. . 500 90 16%. .
, = (1-ni)
= 500*0,16/4 = 20
|
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P=500-20=480
. 2 . . 90 120% . 15 135% . .
S =2 000(1+1,2*90/360) = 2600
= 2600*1,35*15/365=156
P=2600-156=2444
. 100 . , 72 8%, 6% 30 .
.
100000(1-0,06*30/365) = 99 500, = 500,
100000 (1-0,08*72/365) = 98 400, 1600 500 = 1100.
. 30 . 6.09 6.06 6% . .
=30000(1-0,06*92/365) = 29546
. 100 . 18.04 : 10 25.06, 18 5.07 18.05 3.06. 6% .
.
100000 = 10000 (1 - 0,06 * 68/365) + 20000 (1 - 0,06 * 78/365) + (1 -0,06 * 30/365) + (1 - 0,06 * 46/365), = 35411 .
= /
= /*100
: 5 . 12% , 0,5% 2 0,75% . .
() , ( ).
: (1+i)N . S=P*(1+i)N.
(1+i)N=(1+0,12+0,005)2*(1+0,12+0,0075)3=1,81, 0,12 - %- ,
0,005 2 0,0075 3,4,5- .
: (1+i)N=1,81
: , ( ). 8% 5 . .
: 1) 5*4=20,
2) (1+i)N=(1+0,08)20=4,66.
m, y, y/m . .
: 1 . 5 , (%) 15,5% .
: S=P*(1+I/m)N=1*(1+0,155/4)20=2,14.
: 2,14
: 2000 (P). 5 , 80% .
(%) : ) . ) .
: S=P*(1+i*n) (%).
S=P*(1+y/m)N (%).
S=2*(1+0,8*5)=1000 .
S=200*(1+0,8/1)5=3779 . . ( ).
S=200*(1+0,8/2)10=5785 . . ( ).
S=200*(1+0,8/4)20=7667 . . ( ).
, , .
: 100 . ., 3 (%), 200% .
: S=P*(1+y/m)N 100=P*(1+2)3 P=100000000/27=3703703,704
:P=3703703,704
.
P=S/(1+i)n (%).
: i=240% ( )
:
: n=0,566
: , 2 .
:
:
: 30000 . 2,5 , 200% . 2- . .
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: 1- : S=P*(1+i)n=30*(1+2)2,5=467,65
2- : (1+i)N*(1+i/2)*30=(1+2)2*(1+1)*30=540 ( ).
i , i/2 , N- .
():