Wzory

(i_n - i_i) x 100

i_r = -----------------;

100+ i_i

FV_t = PV₀ + PV₀ x (i) x (t) = PV₀ [1+ (i) x (t)]

FV_t = PV₀ (1+ i )^t

i

FV_t = PV₀ x (1 + ----- ) ^{t x m}

m

1

PV₀ = FV_t x ----------- = FV_t x (1 + i) ^{- t}

(1 + i)^t

1

PV₀ = FV_t x --------------

i

(1 + -----) ^{t x m}

m

_n (1+ i)ⁿ - 1

FVA^d _t = A x ∑ (1+ i) ^t-1= A x ----------------

^t=1 i

_n (1+ i)ⁿ⁺¹ - (1+i)

FVA^g _t = A x ∑ (1+ i) ^t = A x -----------------------

^t=1 i

_n 1 1 - (1+i)^-n

PVA^d ₀ = A x ∑ ------------= A x -------------------

^t=1 (1 + i)^t i

_n 1 (1 + i) - (1+i) ^{- (n-1)}

PVA^g ₀ = A x ∑ ------------= A x -------------------------

^t=1 (1 + i)^{t -1} i

1 1 A

PVA^{d ∞} ₀ = A x lim ∑ ---------- = A x ----- = -----

^{t→∞ t=1} (1+i) ^t i i

1 1 A

PVA^{g ∞} ₀ = A x lim ∑ ---------- = A x (1+ ----- ) = A + -----

^{t→∞ t=1} (1+i)^t-1 i i

FV_t = PV₀ x (1+ i₁ ) x (1 + i₂ ) x ... x (1 + i_n)

i₁ i₂ i_n

FV_t = PV₀ x (1+ ------) ^m1 x (1 + ------)^m2 x ... x (1 + ------) ^m_n

m₁ m₂ m_n

1 1 1

PV₀ = FV_t x ------- x ----------- x ... x --------

(1+ i₁ ) (1+ i₂ ) (1+ i_n )

1 1 1

PV₀ = FV_t x ------------- x ---------------- x ... x ----------------

i₁ i₂ i_n

(1+ ------) ^m1 (1 + ------)^m2 (1 + ------) ^m

m₁ m₂ m_n

FV_CF = CF₀ x ( 1+ i₀)ⁿ + CF₁ x (1+ i₁)^n-1 + CF₂ x (1 + i₂)^n-2 + ... +CF_n-1 x (1+i_n-1)^n-(n-1) + CF_n x (1 + i_n)^n-n

CF₀ CF₁ CF₂ CF_n-1 CF_n

PV_CF = --------- + ---------- + ----------- + ... + ---------- + ----------

(1 + i₀)⁰ (1 + i₁)¹ (1 + i₂)² (1 + i _n-1)^n-1 (1 + i _n)ⁿ

i = ( 1+ i₁ ) x ( 1 + i₂ ) x ... x ( 1 + i_n ) - 1

i = ( 1+ i_{p / k / m} )^p/k/m - 1

i_n = m x [ (1 + i_e)^{1 / m} - 1]

D_u D_u

r_u = ------------x100%; r_u = -------------x100%;

P_u P_su - F_su

D_z D_z

r_z = (------------ + g) x100%; r_z = (------------ + g)x100%;

P_z P_sz - F_sz

r_z = i_RF + β x (i_M - i_RF );

ZN - D_u

r_zz = (----------------) x 100%

P_z

r_k = i_k x (1- T_c );

_N O x ( 1 - T_C) M₀

M₀ x ( 1 - i_E ) = ∑ ----------------------- + --------------

^t=1 ( 1 + r₀ )^t ( 1 + r₀ )^N

_n

r_śr = ∑ r_i x u_{i ;}

ⁱ⁼¹

I₀

OZ (PP) = ------- ;

CF

I₀

∑-------------

(1 + r )ⁿ

DPP = --------------------------;

CF_n

∑-------------

(1 + r )ⁿ

Zn + O

Rc = -------------- x 100% ;

Kw + B

_{_ _}

Zn + O

R^p_c = ----------------- x 100% ;

Kw + B

_{_}

Zn

ARR (R_k) = ------------------x 100% ;

( K_cp + K_ck)/2

_n

NPV = ∑ NCF_t x CO_{t ;}

^t=0

PV x ( i₂ - i₁ )

IRR = i₁ + ---------------------- ;

PV + NV

₁

FV_{t -------}

MIRR = ( ----------) ^{L + n} - 1; _n

PV_k FV_t = ∑ D_t x ( 1 + i )^{n - t};

^t=1

_L I_k

PV_k = ∑ ----------------

^k=0 ( 1 + i )^k

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