wyk ad 2 mu


A 1 100
6% 106
A 1 100
6% 6
94 100
6%
6%
d
1
A(n) - A(n - 1) In
dn = =
A(n) A(n)
n
6%
6%
i d
A(1) - A(0) A(0)
d = Ò! A(1) = ,
A(1) 1 - d
A(1) - A(0)
i = Ò! A(1) = A(0) · (1 - i)
A(0)
A(1) A(0)
1
1 + i = .
1 - d
d
i =
1 - d
i
d = .
1 + i
(1 + i)(1 - d) = 1.
i
d =
1 + i
= iv
1 + i 1
= - =
1 + i 1 + i
= 1 - v.
d = iv
= i(1 - d)
= i - id
i - d = id.
1
v(t) = a-1(t) = 1 - dt 0 t <1/d.
1
v(t) = a-1(t) = vt = (1 - d)t t 0.
t > 1
1 t <1
1
m i(m) m
1 m = 1
m m
i(m)
i(m)
m
m
i(m)
1 + i = 1 + ,
m
1
m
i(m)
i = 1 + - 1
m
1
m
i(m) = m[(1 + i) - 1].
m
d(m)
m
m
m
d(m)
1 - d = 1 - ,
m
1
m
d(m)
d = 1 - 1 -
m
1 1
m m
d(m) = m[1 - (1 - d) ] = m[1 - v ].
m -p
i(m) d(p)
1 + = 1 -
m p
m p
i(m) d(p)
1 + · 1 - = 1.
m p
m = p
-1
i(m) d(m)
1 + = 1 - .
m m
i(m) d(m) i(m) d(m)
- = · .
m m m m
A (t) a (t)
´t = = .
A(t) a(t)
d d
´t = ln A(t) = ln a(t).
dt dt
t r 0 t
t t
d
´rdr = ln A(r)dr =
0 0 dr
A(t)
= ln A(r)]t = ln
0
A(0)
t
A(t) a(t)
´rdr
0
e = = = a(t).
A(0) a(0)
A(t)´t = A (t)
n n
A(t)´tdt = A (t)dt = A(t)]n = A(n) - A(0).
0
0 0
´t
d
a-1(t)
dt
´t = - .
a-1(t)
d
a-1(t)
dt
a-1(t)
a-1(t)
-
´t = ´t
d
a-1(t)
dt
´t = - =
a-1(t)
d
a-2(t)dta(t)
= =
a-1(t)
a-2(t)a(t)´t
= =
a-1(t)
= ´t.


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