.
, .
. S P. (, ) P S.
2.1
P | S | |
P | S |
i, (1.12) P S, t = 0:
S = P ´ (1 + i ´ n) P = P /(1 + i ´ n), (2.1)
L = 1/(1 + i ´ n) (2.2)
. P S.
( )
, () t < tn P , S tn. S P(t):
P(t) = S D(t), (2.3)
D(t) t.
. , P(t) S tn P(tn) S.
, ( ) , . , .
i d tn t, D(t) S
d=D(t)/S (2.4) |
(2.3) ´
P(t)=S ´ (1 d). (2.5) |
tn t D(t)=S*d,
t , tn S.
tn t T, d () d.
, D= S*d, P(k) k S
P(k)=S ´ (1d ´ k) (2.6) d (.2.1). |
S
D
D
P(t)
T T T
. 2.1
, d () .
|
|
.
t
P(t) = S ´ (1d ´ t/T) (2.7) d , T (), . |
, t n t, n ´ T + t, n =1,2,3,.. , t - . , n ´ T + t , :
P(t) = S ´ (1 d ´ (n + t/T)) (2.8) d . |
n, .. t = 0 (2.8)
P(n) = S ´ (1 d ´ n). (2.9) |
D = S - P(t) = S ´ d ´ n (2.10) |
S d n .
(2.8) .
P(t) = S ´ (1 d ´ t/T) (2.11) |
D = S-P(t) = S ´ d ´ t/T (2.12) |
, , .
, d L, . (2.2) (2.8)
L = P/S = 1/(1 d ´ (n + t/T)) (2.13) |
. , L , P S.
1. 2500 . 45 . , 3% (365/365).
: , , , S = D ´ T / d ´ (t 0 t) = 2500 ´ 365/0,03 ´ 45 = 675 925,92.
2. , 90 2,5% (365/360).
: , , 1 d ´ (t t 0) = 1 0,025 ´ 90/360 = 0,25.
|
|
3. 5% (365/365).
6 3/4, , T = 365 , , .. 3/4 = 1 d ´ (t t 0)/ T = 1 0,05 ´ (t t 0)/365. (t t o)/ T = (1 3/4)/0,05 = 5 ´ 365 = 1 825 .
1. 8 400 . 4,5% 135 . :239,80 .
2. 3 600 . 2 800 . , . : 22,22%
3. 67 500 . 6% . :10 125 .
4. , 4% 69 5 750 . :5 793,81 .
5. 27 500 . 7,5% . : 15%.
6. 61 500 . 3 050 . 11,5% (365/365). : 157 .
7. 3,8% 3 600 . t/T = 5. , 3%. : 3 777,77 .
8. 15 600 . 402 7,5% 20 000 . 8,2%. : 1,9 .
9. , 350 . 4,6%. : 3 804,34 .
10. 6 450 ., 2 705 . : 16,59%.