, t n T:
t = n ´ T + t, (1.9)
t < T.
I (n ´ T), , I (t), t:
I = I (n ´ T) + I (t).
I (n ´ T) (1.6):
I (n ´ T) = P ´ n ´ i,
, t, T. , T t/ T
I (t)= P ´ (t/ T) ´ i.
, I t :
I = P ´ n ´ I + P ´ (t/ T) ´ I = P ´ (n + t/ T) ´ I = P ´ i ´ (t / T), (1.10)
k :
k = S / P = (P + I)/ P = 1 + (t / T) ´ I = 1 + (n + t/ T) ´ i. (1.11)
S = P ´ (1 + (t / T) ´ i). (1.12)
, T i, (1.12)
S = P + I (t) = P ´ (1 + (t/ T) ´ i). (1.13)
: , P = 645 120 . i = 23,8% 360 , . 1.2.
1.2
25 | 65 | 121 | 438 | |
I | 10 662,40. | 27 722,24. | 51 606,01. | 187 008,48. |
k | 1,0165 | 1,0430 | 1,0800 | 1,2896 |
1. 3 000 ., 5 7% .
: P = 3 000, i = 0,07 t / T = 5/12. , , , I = P ´ I ´ t / T = 3 000´ 0,07´ (5/12) = 87,5 .
2. , 5 000 . 100 4% .
: P = 5 000 ., i = 0,04 , t/T = 100/365. I = 5 000´ 0,04´ (100/365) = 54,8 . S = 5 000 + 54,8 = 5 054,8 .
3. , 100 000 ., 101 000 . . () ?
: P = 100 000 ., , S = 101 000 . t = 90/360 = 1/4. , S = P + I, I = S P = 101 000 10 000 = 1 000.
|
|
(1.10) I = P ´ i ´ t / T, i = I /(P ´ t / T) = 1000/(100000´ (1/4)) = 0,04, 4%.
4. 60 10 000 .
, 10 000 . 12% ?
: S = 10 000, i = 0,12 t / T = 60/360 = 1/6. S = P ´ (1 + i ´ t), 10 000 = P ´ (1,02), P = 10 000/1,02 = 9 804 .
1. (1 + 0,07(7/12))5 000 . 1 . : 5204 .
2. 7 000 . 5 3%. : 875 .
3. 6 000 ./(1 + 0,05(1/4)) 1 . : 6000 .
4. , 17 000 . 4 3,5%. : 198,33 ., 17198,33 .
5. (365/360) (365/365) 4 600 . 1 30 7% . : 78,71 ., 77,63 .
6. (365/360) 150 000 . 4% 90 . : 1500 ., 151500 .
7. 3,5 . (365/360) 300 . 60 . ? : 7%.
8. 500 . 520 . 4 . , , (365/360) ? : < 51,42%.
9. , 4800 . 7% . : 4717,44 .
10. 7 000 ., 8% t / T = 1/6. : 7093,33 .
11. 7 800 . 5 , 8%? : 7548,38 .
12. , 13 900 . 90 18% (360/360) ? : 13309,28 .
13. , 6 000 . 100 ., 9% ?: 67 .
:
14. P = 28 000, I = 7%, t = 189 . : 998,79 ., 1012,67
15. P = 96 800, I = 6%, t = 227 . : 3612,09 ., 3662,26 .
16. P = 69 500, I = 4,5%, t = 95 . : 556,95 .,564,69 .
17. P = 18 700, I = 12%, t = 128 . : 686,93 , 797,86 .