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45 S I = ( P ) 4 2 K 2 S I P K K I 2 = ( ) I P S S 3 = ( ) K1 = I ( 4 4) K 2

46

47 1 q 0 = 1 ( qf )

48 4 6

49 4 7

50 = 4 8

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55 2 1

56 t n+ 1 ) X X X X i + i i t + + t n+ 1 i= t Xt+ 1 = = 4 9 n n ) X t 1 t+ 1 ) X t X t n X t+ 1 = + X t 4 10 n n ) X n + X ( n 1) + X t t 1 t n+ 1 Xt + 1 = n

57 ) ) 1 Xt+ 1 = αx t + ( 1 α) Xt α α ) X t+1 ) X t+ 1 = X 0 + X ( t + 1) 4 13 ) X t+1 X ) t+ 1 Xt+ 1 = X0( 1+ X') 4 14 X ) t+1 Xt X'= t 1 X 0

58 X = a X = 1+ a X + + a X + e ( 4 15) t 1 t 2 t 2 n t n t X X ) Xt = e t b1e t 1 b2e t 2 b met m ( 4 16) X = a X + a X + + a X + e b e b e b e t 1 t 1 2 t 2 n t n t 1 t 1 2 t 2 m t m ( 4 17) i t

59 Σy bσx a = n NΣxy ΣxΣy b = 2 NΣx Σx Σx NΣxy Σx Σy R = ( 4 19) [ NΣx ( Σx) ][ NΣy ( Σy) ] n Σ( x i x)( y i y) i= 1 R = n n 2 Σ( x x) Σ ( y = y) i i= 1 i= 1 i 2

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69 B2 B1 Q 0 = 5 2 D D 1 2

70 = SE CE 5 5 ( LCC) n Σ i =1 LCC CI CT y i

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73 F Q = 1 P 5 6 V

74 Q Q 1 2 = 2 ( P1 V1 ) 4( P2 V2 ) F ( P1 V1) ( 5 7) 2( P2 V2) 2 P1 V1 4 P2 V2 F P1 V1 = ( ) ( ) ( ) 2( P V ) 2 2 d( y c) 2( P2 V2 ) Q + ( P1 V1 ) = dq Q P1 V1 Q = ( P V ) 2 2

75 max Z = Σ C X ( 5 12) j= 1 n j Σ a X B 0 X R Z j n j= 1 ij j i X j j j j

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83 T K K 2 1 = 5 14 C C 1 2 x y 0 0 n Σ Qixi i= 1 = n 5-15 Σ Q i= 1 n i= 1 i Σ Qiyi i= 1 = n 5-16 Σ Q i

84

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86 PA x CA = CB ( ) CF 6-2 P B Σ xi n= 1 x = 6-3 n lg yi xi = lgz ci + 1 yi = c pi + 1 zi = p i i i n C = Q ( 1+ Σ f ) A n i i= 1 6-5

87

88 = 6-6 = = =

89 =

90

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93 Dp Kp = 6-12 P( 1 f ) 4. p D Kc = 6-13 P ( 1 f ) n c K D c P f n c g D D1 Kc = + g 6-14 P ( 1 f ) n 1 c D1 K r = + g 6-15 P n β β

94 n K = Σ WiK i i = 1 TFi BPi = ( 6 19) W i

95

96 FL EPS EPS EBIT EBIT = / / 6-20

97 EBIF DFL = ( 6 21) EBIF C R R S 3 CSR1 RCS R3 R1 RR 3 R2 = = ( 6 22) C ( 1 R) 1 R S R1 RR 3 R( R1 R3) R1 = 0 1 R 1 R Θ 0 R 1 R R 1 3 R > R R < R

98 B B / S

99 Cmax b = f( R1 R3 R4 R5) 6 23

100

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102

103 1 P = F (7 2) ( 1+ i) n n ( 1+ i) 1 F = A ( 7 3) i n ( 1+ i) 1 i (1+ i) n -1 P = A (7 4) i(1 + i) n n ( l + i) 1 n i( l + i)

104 n A'(1+ i) -1 F'= i Μ n (1+ i) -1 F'' = G[ - n] i n n (1+ i) -1 (1+ i) -1 = A' + G[ - n] (7-5) i i n (1+ i) -1 P'= A' n i(1+ i) n (1+ i) -1 1 P''= G[ - n] i (1+ i) n n (1+ i) -1 A' + G 1 n (1+ i) -1 n n [ - n] (7-6) i(1+ i) (1+ i) i

105 n n (1+ i) - (1+ j) F = A' (i j) (7-7) i - j n n (1+ i) - (1+ j) 1 P = A[ ] i - j ( 1+ i ) n (1+ i) - (1+ j) = A n (i - j)(1+ j) = n A( 1 + i) n n 1 n 1 ( 1 + i) ( i j) ( 7 9) n 1 = na ( i = j) ( 7 10) 1 + i n+m m (1+ i) -1 (1+ i) -1 P = A[ n+m ] - m ] (7-11) i(1+ i) i(1+ i) P = A 1 i n 1 P = A A1 1 + A A n n = Σ A t ( 1 + i) ( 1+ i) ( 1 + i) ( 1+ i) t= 0 ( 1 + i) ( 7 13) t

106

107

108 = = (7 20) S = 1 n 7-21 C n S C c 2 = 1 = 2 ( ) 100% 7-22 = 7-23 = 7-24 e = 7-25

109 = (

110 = 7 28

111

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114 RR PT Pr NPV NPVR IPR R R = 7-29 Pt Σ ( CI CO) t = t= 1 P t Σ t=1

115 = P' t a Σ(CI - CO)t t = 0 (7 32) t=1 1 P' t a t a t = t (1+ i) i = (7-23) 1+ NPV = Σ n (CI CO)t a t (7 34) t=1

116 NPVR = NPV (7-35) P(I) 1 NPV = Σ n (CI - CO)t t = 0 (7-36) t=0 ( 1+ i) FNPV1 FIRR = i 1 + (i2 - i 1) (7-37) FNPV + FNPV 1 2 n Σ(CI - CO) t t=0 1 ( 1+ i) t = 0

117

118

119 m10x1 + m20x2 + + m k0x k M 0 m11x1 + m21x mk1xk M1 ( 7 38) m1wx1 + m 2wx2 + + m kwx M w x1 0, x2 0 x k 0

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125 n Ft NPV = Σ t F0 ( 8 2) t= 1 ( 1+ K)

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128 2 2 σ = E(x ) - (E(x)) (8 3) E(x) = Σ x P ; i=1 i=1 Σ P = 1 n i n i i σ V = σ 100% ( 8 4) E ( x ) σ

129

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132 8 6

133 σ σ

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145 ξ'= P C + P C + + P C max n n C1 C2 Cn L l1 l2 l n C1 C2 Cn G g1 g2 g n (9 1) C1 C2 Cn + + E e1 e2 e n Μ

146 (9 2) = (9 3) = + (9 4) (9 5) + (9 6) = + (9 7)

147

148 M n [(1+ i) -1](1+ i) = A + D n (9 9) M[(1+ i) -1] I

149 ay ak = dk dk - ay dl (9 10) al dk i i + i > i ( Θ t'< 1) (9-11) 1- t'

150 n Σ a v = a v + a v + a v (9 12) j=1 j j n n y a = y j y (9 13) = ( y y ) P x - P Σ Σ y j t (1+ r)' i x jt y jt (9 14) Vjt = Σ Σ a j t j t ( 1+ r) 1 Σ Σ (CI - CO)t t j t D j = 1 ( 1+ r) G Di = G j (9 15)

151 G = 100% (9 16) = 100% (9 17) = (9 18) = ( / ) (9-19) = (9-20) = (9-21)

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161 P = 1 a P i (10 1) n i=1 Σ n P = a n Σ W P i=1 i i n Σ W i i=1 (10 2) P'= A' (N A - P ) (10 3) A

162 g 1 1 n P1 i = Σ 100% ( 10 4) n i= 1 P 0i n Σ P1i i=1 g 1 = n 100% (10 5) Σ P 0 i=1 i ΣP1Q0 = 100% (10 6) ΣP Q 0 0 ΣP1 Q1 = 100% (10 7) ΣP Q 0 Q t N = Σ P W ( 10 8) 1 i= it it

163 N W V = Σ Σ P Q (10 9) i=1t=1 it it 100 (10 10) 100 (10 11)

164

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170 V = t = R (1+ r) (11-1) 0 n t t t=1 n ( ) 1 =1 + t t

171 V = F + i F N 0 (11 12) 1 + r n V F i N n 0 r % %( ) % V0 = % ( 2) F + i F n V0 = ( 11 3) 1 + r n % V0 = % 2 = ( 3) n i F F V0 = t + n ( 11 4) ( 1 + r) ( 1 + r) t= % V = t + ( %) ( %) 0 2 t= 1 = 10( )

172 N F(1+ i) V 0 = n (11 5) (1+ r) N n 100 ( 1+ 10%) V0 = 2 ( 1+ 12%) = = B V = 0 n t=1 t 1 i F( 1+ i) F n + ( 1+ r) ( 1+ r) 7 n = i n F (1+ r) 1 F n + n (11 6) r ( 1+ r) (1+ r) 2 10% 100 ( 1+ 12%) 1 V = ( % 1 12%) ( 1+ 12%) = % ( 1+ 12%) 2 2 V = i (1+ r 2 ) 2n F 1 F 0 + r (1+ r (11 7) r 2n 2 ) 2n ( 1 + ) 2 2 B AIBD r = (1+ r') -1 n i F ( 1 + r) 1 F V 0 = n + n (11 8) 2( 1 + r -1) ( 1 + r) (1+ r)

173 F V 0 = (11 9) 1 - r n 365 n % 100 V0 = 1 12% = F V = ( 11 10) 0 ( 1+ r) n V0 = d (11 11) r V 0 d (Statedannualdiscountrate) r V0 = = 12% 6667.

174 d Dt V0 = + t ( 11 12) r t= 1 ( 1+ r ) d + E( Dt) V0 = ( 11 13) r D1 t E(Dt) tdt / V % R t V0 = t ( 11 14) ( 1 + r) t= 1 R R R t V0 = t ( 1 + r) t= 1 t 1 = R t t= 1 ( 1 + r) R = ( 11 15) r

175 008. V0 = 12% 067. (2) V = 0 N t=1 Rn (1+ r) Rm PN = ( 1+ r) n m= N+ 1 PN + ( 1+ r) N m N (11 16) V 0 = 0. 08( %) 1 12%) %) 3 ) + ( ( ( ( %) 3 = = 112.

176 2 s E0( 1+ g) s E0( 1+ g) s E0( 1+ g) V0 = ( 1+ r) ( 1+ r) ( 1+ r) D = s E D 0(1+ g) D 0(1+ g) D 0(1+ g) V 0 = (1+ r) (1+ r) ( 1+ r) D (1+ g) = = D 0 1 (r > g) (11 17) r - g r - g 85% 050. ( 1+ 5%) V0 = = % 5% (2) N t (1+ g) PN V 0 = t + N (11 18) t=1 (1+ r) ( 1+ r) 3 t %(1 + 5%) %) 20 V0 =.. ( t + 3 t= 1 ( %) ( %) = = 9. 86

177

178 V = 0 m n DN ( 1+ g) 1 m N m= N+ 1 ( 1+ r) ( 1+ r) DN+ 1 1 = N r g ( 1+ r) V = 0 N t= 1 N t= 1 D0( 1+ ga ) t ( 1+ r) D0( 1+ ga ) ( 1+ r) t t t + m= N+ 1 m n DN ( 1+ g) 1 m N ( 1+ r) ( 1+ r) N D 1 r g ( 1+ r) N t ( 1+ 10%) 0. 4( 1+ 10%) 1 V0 = t + 3 t= 1 ( 1+ 12%) 12% 5% ( 1+ 12%) = % 5% = 711. N N ( 11 19) % 3 5% 12%

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184 100 (10-20)

185 = 100 (11-21) 3. = 100 (11-22) 4. = 100 (11-23) 5. = 100 (11-24)

186 = (11-25) 1 7. = 100 (11-26) 8. = (11-27)

187 = (11-28) = = (11-29)

188 = 100 (11-30) = + + (11-31) = 100 (11-32)

189 = ( ) (11-33) (2) = (11-34) ( ) = (11-35) (4) = (11-36) = (11-37)

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202 MAi = 1 N N-1 j=0 P (12 1) i- j

203

204 N ( ) (N) RSI i 100 N N (12 3) 100 (N) RSI i 100 (12 4) N 1 N

205 ( 9) RSI 9 = 100 ( ) + ( ) 52 = = = ( 9) RSI9 = = = ( 9) RSI = + =

206

207

208 2 (12 7) 1 DI C 2 + H + L (12 8) 4

209

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212 n µρ = X µ (13 1) i=1 i i µ n X i = 1 i= σ S S σ σ S σ = X σ + 2 XiXjσ i j ( 13 2) ρ n i i i= 1 i= 1 j= 1 n n ij σ = ρ σ σ ( 13 3) ij ij i j

213 S ρ 2 σ ρ S ρ 2 σ i = σ ( 13 4) 2 ρ σ ρ σ σ σ = X σ 2( 1 X ) σ + ( 2 4X ) σ ( 13 6) p i i i j i ij 13 6 X 2 2σ p 2 2 = 2Xσ i 2( 1 Xi) σ j + ( 2 4Xi) σ ij ( 13 7) 2X i X σ + 2X σ 4X σ = 2σ 2σ i i i j i ij j ij 2 σi σij Xi = 2 2 σ + σ 2σ i j ij ( 13 8) σ ρ ρ σ ρ σ σ σ j( σi + σi ) σ j X = = ( 13 9) i ( σ + σ ) 2 ( σ + σ ) i j i j σ j ( σ + σ ) i j ρ σ ρ σ σ

214 X i X i 2 σ j = 2 2 ( 13 10) σ + σ i j 2 σ j = 2 2 σ + σ i j ρ σ ρ σ σ σ σ X = i 2 σ j σ σ 2 2 σ + σ 2σ σ i j j i i j σ j( σ j σi) = ( 13 11) ( σ σ )( σ σ ) j i j i σ σ σ σ σ + σ 2σ = σ σ σ σ i j ij j ij 2 i σ = 0 ij ρ σ σ = 0 2 i ij i j Θ σ ( σ ρ σ ) = 0 σ i i i ij j σ = 0 ρ ij = σ i j σi ρij σ j

215 σ σ σ = ( 1/ 2) 10 + ( 1/ 2) p = 2( 1/ 2) = ( 1/ 3) 10 + ( 1/ 3) 10 + ( 1/ 3) p = 3( 1/ 3) N = ( 1/ N) 10 + ( 1/ N) p = ( 1/ N) N 2 10 σ p = 2 10 = N N 10 2 Sp = σp = N ( )

216 n n 2 σρ = XiX jσ ij i= 1 j= 1 n µρ = Xiµ i ( 13 13) i= 1 N Xi = 1 i= 1 2 M σ in ρ (Lagrangian ObjectiveFunction) n n Z = X X σ + λ [ X µ µ ] + λ ( X 1) i= 1 n i j ij 1 i i ρ 2 j= 1 i= 1 i= 1 ( 13 14) X λ 0 (n + 2) Z 2 = 2X1σ1 + 2X2σ Xnσ1n + λ 1µ 1 + λ 2 = 0 X 1 Z 2 2 = 2X1σ12 + 2X2σ2 + 2 Xnσ 2n + λ 1µ 2 + λ2 = 0 X 2 Μ Z 2 2 ( 13 15) = 2X 1σn1 + 2X2σn Xnσn + λ 1µ n + λ2 = 0 X n Z = X1µ 1 + X2µ Xnµ n µ ρ = 0 λ 2 Z = X1 + X2 + + X = λ n n i i

217 C X K 2 2σ n X 1 2σ 12 2σ 1 µ σ 21 2σ 2 2 σ 2nµ 21 X2 0 Μ Μ Μ Μ Μ = Μ 2 2σ n 2 n 2 n n1 X 1 σ 2 σ µ n 0 µ 1µ 2 µ n00 λ1 µ ρ λ2 1

218 σ 2 t Θ r = a + b r + ε µ = E( r ) = a + b E( r ) + E( ε ) = a + b E( r ) ( 13 18) σ = V( r ) = V( a + b r + ε ) = b σ + σ ( 13 19) b i i i I i i i i i I i i i I i i i i I i i I εi 2 i σ σ εi

219 Θ µ = X µ µ ρ µ = X [ a + b E( r )] ρ n i= 1 = a + b E( r ) i i i I n i= 1 n i i i i i I = X ia i + E( ri ) X ib i ( 13 20) i= 1 n i= 1 β X = n X b n+ 1 i i i= n µ ρ = X a + X E( r ) i= 1 i i n+ 1 I σ = X σ + Σ X X σ Θ σ p i i n i= 1 n j= 1 X X σ i j ij n p Xi σi i= 1 i= 1 j= 1 Θ σ = b σ + σ i i I εi n n p I i i i εi i= 1 i= 1 σ = σ X b + x σ n n = 0 i j ij ( 13 22) X = n X b n+ 1 i i i= 1 n ( 13 23) σp = Xn+ 1σ I + Xiσ ε i ( 13 24) i= 1 2 µ σ ρ p

220 µ ρ

221 AG AG

222 µ m - R f µ ρ = R + σρ (13 25) σ µ σ µ σ µ M R σ ρ m m ρ m f R m β i m βi = cov(r,r ) 2 (13 26) σ m β = ΣX β (13 27) p i i µ

223 Θ u = f( β ) i u = a + bβ i i i µ = R + ( µ R ) β ( 13 28) i f m f i β µ β

224 λ λ λ λ λ λ λ

225 λ λ λ λ λ λ B F = ( ) = 100. γ F = ( % %) = 12% 13-1 ( ( ) (b) u F

226 (1) = X B = 0 β jp i j i= 1 (2) X i = 0 N i t m (3) X e = 0 λ λ λ n i= 1 i i

227

228 14-1

229

230 Qi PV = Σ n i 14-5 i=1( 1+ r) = ( 1 + r) ( 1+ r) ( 1 + r) K * = Vr 14 6 t t * * K K = Vr Vr = V( r r ) t t 1 t t 1 t t 1 * K = K * * I = K - K = K - K = V r 14-7 t t r = r r I t t t 1 t * * K K I I I t t t-1 t t t-1 t t t t t

231 i Kt = V(1 - λ) Σ λ r (0 < λ < 1) 14-8 i=0 t-i i ( 1 λ) ( 1 λ) λ ( 1 λ) λ 2 ( 1 λ) Σλ = 1 i K t 1 i = V(1- λ) Σ λ r 14-9 i=1 t-i-1 λ 14 9 i+ 1 λk = V( 1 λ) Σ λ r t K λk = ( 1 λ) Vr t t 1 t 0 t i 1 K K = ( 1 λ) Vr ( 1 λ) K t t 1 t t 1 * K = K = (1- λ) K - (1- λ) k t t-1 t t-1 * I = K K = ( 1 λ)( K K ) t t t 1 t t 1 λ K * t K * t

232 rt Pv = e [ Ptrt WtL t q tgi t ] dt α r = AK L β t t t r t Wt = L p t t r t Ct = K p t t C = q (r + δ) - q t t t δ Kt = K * t δ Pt rt Pt rt Pt rt Pt rt I t = β α α + β α α ( ) 1( ) + β( ) C C C C t t 1 t 1 t 2

233 β

234

235

236 dsw dy > 1 W dsw dy > 1 W

237

238 θ θ > 0 S t = S(W t, r t+1)0 < S w < 1Sr < i r ω 1 i

239 ω( i) r i 1 i ω( i) r i = 0 1 i r ω( i) = i 1 i

240 ( )

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248 Μ Y = I S Y 1 I 15 1 C 1 Y Y I S / Y 1 1 C / Y 15 1 S C 1 Y Y

249

250 n n n C Σ Yt = I( 1 + C + 2 C , C ) = I 15 2 t=1 1 C n 1 C 1 C

251 15 2 (1) (2) (3) (4) (5) (6) (7) (4) (2) 5 (5) (3) 5 (7)=(5)+(6)

252 η η

253

254 15 3 C b(y -l) I I a(c -C -1) I I I Y C I

255 ( 1 1 C) 3. V (1-1 - C) 4. 2 V 1 (1 1 C) 5. 2 ( C) V 2

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259 15 4 ( ) ( ) ( ) ( )

260 15 5 ( ) (%) ?

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264 15-9 (%) (%) / (%) (%)

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268 m X I(V V m ) II(C C) X

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277 C = Q M m Q ( 16 M 1)

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291 ( ) ( ) A ( ) ( ) ( ) ( ) A ( ) ( )

292 % 60% 70% 70% 80% 80% 90% % 20

293 % 25% % 100% 3. 50% 50% 1. ( ) 2. ( ) ( )( )

294

295

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298 R(1+ K) M 1 = (17 1) r 1 r

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305

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