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Chương 7 : Quy hoạch nguồn vốn lựa chọn tập dự án đầu (phần 2) Nguyễn Hải Ngân Hà [email protected] Bộ môn Tài Chính – Khoa Quản lý Công nghiệp Đại học Bách Khoa - TPHCM

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  • Chng 7: Quy hoch ngun vn v la chn tp d n u t (phn 2)

    Nguyn Hi Ngn H

    [email protected]

    B mn Ti Chnh Khoa Qun l Cng nghip i hc Bch Khoa - TPHCM

  • Bi ging Lp v phn tch d n 2

    Ni dung

    1. Ngun vn

    2. Chi ph s dng vn

    3. Sut sinh li ti thiu chp nhn c

    4. La chn tp d n u t

  • Bi ging Lp v phn tch d n 3

    2. Chi ph s dng vn

    Cost of Equity

    Cost of Debt

    Cost of Capital (WACC) Chi ph s dng vn: l

    bnh qun chi ph s dng

    vn CSH v vn vay n

    Cost of Equity (ie) Chi ph s dng vn ch s

    hu: l chi ph c hi ca

    vic s dng vn CSH.

    Cost of Debt (id) Chi ph s dng n : l chi ph

    phi tr cho ch n.

  • Bi ging Lp v phn tch d n 4

    2. Chi ph s dng vn

    Chi ph s dng vn - Cost of Capital

    WACC (weighted average cost of capital): chi ph s dng vn bnh qun

    Cd, Ce : tng n , tng vn ch s hu

    V: tng ngun vn ( = Cd + Ce )

    id: chi ph sd n sau thu

    ie :chi ph sd vn ch s hu

    ki C

    V

    i C

    V

    d d e e WACC =

  • Bi ging Lp v phn tch d n 5

    2. Chi ph s dng vn

    Chi ph s dng vn - Cost of Capital

    Chng ta quan tm n chi ph s dng vn

    trc thu hay sau thu ?

    Khi thm nh d n, ta quan tm n dng tin

    sau thu (CFAT) => ta ch quan tm n chi ph

    s dng vn sau thu.

    Ch c chi ph s dng n l cn iu chnh sang chi ph sau thu, bi v li vay c xem

    nh mt khon chi ph c khu tr thu.

  • Bi ging Lp v phn tch d n 6

    2. Chi ph s dng vn

    Chi ph s dng n - Cost of Debt

    Cs: n vay t t chc ti chnh Cb: n vay t tri phiu Cd: tng s n ( = Cb + Cs) ks: li sut trc thu ca n vay t t chc ti

    chnh (ls thc)

    kb: li sut trc thu ca tri phiu (ls thc) t: thu sut

    i d=

  • Bi ging Lp v phn tch d n 7

    2. Chi ph s dng vn

    Chi ph s dng n - Cost of Debt

    Tnh ks: ls trc thu ca n vay t TCTC (ls thc)

    ks = (1 + r/m1)m2 - 1

    VD: Cty Vit Tin vay n t ngn hng 1 t ng, li

    sut 20%/nm, ghp li theo qu. Nu thu sut TNDN

    l 25% th li sut trc thu & sau thu m DN thc

    tr cho khon n ny l bao nhiu?

    Gii:

    ks trc thu = [( 1 + 20%/4)4 1] = 21%

    ks sau thu = 21% x (1- 25%) = 16%

  • Bi ging Lp v phn tch d n 8

    2. Chi ph s dng vn

    Chi ph s dng n - Cost of Debt

    VD: Cty Vit Tin pht hnh 1000 tri phiu,

    mi tri phiu gi 1 tr. Li tc hng nm l

    80.000 (8%/nm), thi k o hn l 10 nm.

    Gi s gi bn tri phiu Po ti thi im pht

    hnh l 1,2 tr.

    a/ Tm li sut thc ca tri phiu trc thu.

    b/Tm li sut thc ca tri phiu sau thu, nu

    thu TNDN l 25%

    Tnh kb : ls trc thu ca tri phiu (ls thc)

  • Bi ging Lp v phn tch d n 9

    2. Chi ph s dng vn

    Chi ph s dng n - Cost of Debt

    Gii:

    a/ 1,2 = 0,08 x (P/A, kb, 10) + 1 x (P/F, kb, 10)

    Dng pp ni suy ra kb = 5%

    b/ kb sau thu = kb x ( 1- 25%) = 4%

    Tnh kb : ls trc thu ca tri phiu (ls thc)

  • Bi ging Lp v phn tch d n - 10

    2. Chi ph s dng vn

    Chi ph s dng n - Cost of Debt

    Tnh kb : ls trc thu ca tri phiu (ls thc)

    Po (1-fc) = INT * (P/A, kb, n) + M * (P/F, kb, n)

    Po : Gi bn tri phiu fc: chi ph pht hnh tri phiu (%) INT: li tc = li sut x mnh gi M : mnh gi n : k hn ca tri phiu

  • Bi ging Lp v phn tch d n 11

    2. Chi ph s dng vn

    Chi ph s dng vn CSH - Cost of Equity

    1. Chi ph s dng vn c phn thng

    - Cost of Common Stock(kc)

    2. Chi ph s dng vn c phn u i

    - Cost of Preferred Stock (kp)

    3. Chi ph s dng li nhun gi li

    - Cost of Retained Earnings (kr)

    => Chi ph s dng vn CSH - Cost of equity: bnh qun ca 3 chi ph kr kc, v kp

  • Bi ging Lp v phn tch d n 12

    2. Chi ph s dng vn

    Chi ph s dng vn CSH - Cost of Equity

    nh gi c phiu thng

    2. Tng trng (tc g)

    1. Khng tng trng

    1 1

    0 2

    10

    DIV DIVP ...

    1 r 1 r

    DIVP

    r

    1 2 3DIV DIV DIV ... 2

    1 1 1DIV , DIV (1 g), DIV (1 g) , ...

    1 1

    0 2

    10

    DIV DIV (1 g)P ...

    1 r 1 r

    DIVP

    r g

    r l sut sinh li yu cu ca c ng. i vi DN, sut

    sinh li c ng yu cu chnh l chi ph m DN phi

    tr khi sd vn ca c ng => r = kc

  • Bi ging Lp v phn tch d n 13

    2. Chi ph s dng vn

    Chi ph s dng vn CSH - Cost of Equity

    Chi ph s dng vn CP thng - Cost of common stock

    (Gi nh c tc tng trng u hng nm vi tc g

    v nh u t khng u c)

    DIV1: c tc c phn thng nm th 1

    Po: gi bn c phiu thng nm 0

    f c : chi ph pht hnh c phiu thng (%)

    g: tc pht trin ( = b*R)

    + b =t l ln gi li ti u t (=(EPSo DIVo)/ EPSo)

    + R=sut sinh li ti u t

    kc =

  • Bi ging Lp v phn tch d n 14

    2. Chi ph s dng vn

    Chi ph s dng vn CSH - Cost of Equity

    Chi ph s dng vn c phn thng

    -Cost of common stock

    - Trong TH c tc khng u, th ta c

    cng thc tng qut sau:

    Po = c

  • Bi ging Lp v phn tch d n 15

    2. Chi ph s dng vn

    Chi ph s dng vn CSH - Cost of Equity

    Chi ph s dng vn c phn thng - Cost of common stock

    VD: Cng ty IBM ang c 1 triu c phiu ang lu

    hnh. Cng ty va bo co li nhun sau thu cn li

    cho c ng nm nay l $2 triu, v d kin gi li 40%

    ln ti u t vo nm sau. Sut sinh li ti u t ca

    cng ty trc y l 16% v d kin s tng trong tng

    lai. IBM pht hnh c phiu thng mi v bn vi gi

    $10. Tnh chi ph s dng vn c phn ca cng ty?

  • Bi ging Lp v phn tch d n 16

    2. Chi ph s dng vn

    Chi ph s dng vn CSH - Cost of Equity

    Chi ph s dng vn c phn thng - Cost of common stock

    Gii:

    Tc pht trin g = 0.4 x 0.16 = 6.4%

    Thu nhp vo nm sau = 2.000.000 x (1+6.4%) = 2.128.000

    C tc vo nm sau = 2.128.000 x ( 1 0.4) = 1.276.800

    C tc trn mt c phiu vo nm sau = 1.276.800 /

    1.000.000 = 1.28

    Chi ph s dng vn c phn = 1.28/10 + 6.4% = 19.2%

  • Bi ging Lp v phn tch d n 17

    2. Chi ph s dng vn

    Chi ph s dng vn CSH - Cost of Equity

    Chi ph s dng vn c phn thng (phn ny khng thi)

    M hnh tng trng ca Gordon Shapiro (The Gordon Shapiro Growth Model)

    M hnh tng trng ca Solomon (The Solomon Grown Model)

    0

    00

    0

    0

    BV

    DVEPS

    P

    DVRe

    0

    00

    0

    0

    P

    DVEPS

    P

    DVRe

    kc

    kc

    BVo l gi bt tan ca

    mt c phn ti nm 0

    Po l gi th trng ca

    mt c phn ti nm 0

  • Bi ging Lp v phn tch d n 18

    2. Chi ph s dng vn

    Chi ph s dng vn CSH - Cost of Equity

    Chi ph s dng vn c phn thng

    VD: Li nhun trn mt cp sau thu (EPS) ca cty Vit

    Tin l 3400/cp thng, gi bn cp l 36.000/cp. Li

    c phn (c tc) c chia hin nay l 1670/cp. T l li

    nhun gi li ti u t (b) d kin s khng thay i

    trong tng lai. Gi BVO hin nay l 19.500 /cp.

    => Tnh chi ph s dng vn c phn thng (sau thu)

    ca cty theo 2 m hnh Gordon- Shapiro v Solomon.

  • Bi ging Lp v phn tch d n 19

    2. Chi ph s dng vn

    Chi ph s dng vn CSH - Cost of Equity

    Chi ph s dng vn c phn thng

    Li gii

    Theo m hnh Gordon Shapiro:

    Theo m hnh Solomon:

    %5,131351,0500.19

    670.1400.3

    000.36

    670.1

    0

    00

    0

    0 hayBV

    DVEPS

    P

    DVRe

    %45,90945,0000.36

    670.1400.3

    000.36

    670.1

    0

    00

    0

    0 hayP

    DVEPS

    P

    DVRe

    kc

    kc

  • Bi ging Lp v phn tch d n 20

    2. Chi ph s dng vn

    Chi ph s dng vn CSH - Cost of Equity

    Chi ph s dng vn c phn u i

    - Cost of preferred stock

    DIV*: c tc c phn u i

    Po: gi bn c phiu u i

    f c: chi ph pht hnh c phiu u i (%)

    kp=

  • Bi ging Lp v phn tch d n 21

    2. Chi ph s dng vn

    Chi ph s dng vn CSH - Cost of Equity

    Chi ph s dng vn c phn u i

    - Cost of preferred stock

    VD: Cty IBM pht hnh c phiu u i vi gi

    $100/cp v tr c tc u hng nm l $10.5. Nu chi

    ph pht hnh l $4/cp, chi ph s dng vn c phn u

    i l bao nhiu?

    Gii: Kp = 10.5 / (100 4) = 10.94%

  • Bi ging Lp v phn tch d n 22

    2. Chi ph s dng vn

    Chi ph s dng vn CSH - Cost of Equity

    Chi ph s dng li nhun gi li

    - Cost of retained earning

    Ti sao c chi ph s dng li nhun gi li?

    Li nhun c th c gi li ti u t hoc chia c tc cho c ng.

    Nu Cty tr c tc thp th nh u t c th mua c phiu ca cng ty khc hng c tc cao hn

    => Nu gi li ln ti u t, cty phi chu chi ph c

    hi bng thu nhp m nh u t mong i t c

    khi u t vo mt CP khc c cng ri ro.

  • Bi ging Lp v phn tch d n 23

    2. Chi ph s dng vn

    Chi ph s dng vn CSH - Cost of Equity

    Chi ph s dng li nhun gi li

    - Cost of retained earning

    Trong , DIV1: c tc CP thng, Po: gi bn CP

    thng, g: tc tng trng

    Chi ph ln gi li = chi ph sd vn c phn thng nu

    chi ph pht hnh bng 0. Nu ht ngun li nhun gi

    li th cty mi pht hnh c phiu mi (trnh ke cao)

    kr=

  • Bi ging Lp v phn tch d n 24

    2. Chi ph s dng vn

    Chi ph s dng vn CSH - Cost of Equity

    Cost of Common Stock

    Cost of Preferred Stock

    Cost of Equity

    i c c k c c k

    c c k

    e r e r c e e

    p e p

    ( / ) ( / )

    ( / )

    Cost of Retained Earnings

    Cr = vn t ngun li nhun gi li,

    Cc = vn t pht hnh CP thng mi

    Cp = vn t pht hnh CP u i

    Ce = vn CSH ( = Cr + Cc + Cp)

    kc =

    kr=

    kp=

    c

  • Bi ging Lp v phn tch d n 25

    2. Chi ph s dng vn

    Chi ph s dng vn v cu trc vn

  • Bi ging Lp v phn tch d n 26

    3. Sut sinh li ti thiu chp nhn c

    MARR l sut chit khu i tnh PW ca d n.

    MARR l tiu chun so snh vi IRR ca d n

    Lm sao tnh c MARR ???

    => Cch n gin nht l MARR = WACC. Tuy nhin,

    mi d n c th c cch c lng MARR ring do

    cc yu t c th sau:

    - ri ro ca d n

    - Vng d n

    - C cu thu

    - Cc phng php huy ng vn

    - Gi tr MARR ca cc cng ty khc

  • Bi ging Lp v phn tch d n 27

    4. La chn tp d n u t

    Cc d n c lp: C th chn nhiu hn 1 DA trong tp

    cc DA c lp, tu theo ngun ngn sch ca DN.

    Khi c m c hi u t s c 2m - 1 tp d n.

    Cc bc chn la tp d n:

    1. Xc nh s tp d n

    2. Sp xp cc tp d n tng dn theo vn u t.

    3. Xc nh dng tin t cho tng tp d n

    4. Tnh PW cho tng tp d n

    5. Chn tp d n da vo ngun ngn sch B xc nh.

  • Bi ging Lp v phn tch d n 28

    4. La chn tp d n u t

    PA P Li tc rng N (nm)

    A -12.000 +4.281 5

    B -10.000 +4.184 5

    C -17.000 +5.802 10

    Xt cc DA c lp A,B,C sau v la chn tp d n

    u t c li nht nu MARR = 15%. Ngun ngn sch

    ca cng ty cho vic u t d n l B = 27.000 tr.

  • Bi ging Lp v phn tch d n 29

    4. La chn tp d n u t

    TT Tp DA P PW Nhn xt

    1 B -10.000 4.025

    2 A -12.000 2.350

    3 C -17.000 12.120

    4 AB -22.000 6.375

    5 BC -27.000 16.145 Chn tp BC v ngn

    sch l 27.000

    6 AC -29.000 14.470 Loi ngay v vt NS

    7 ABC -39.000 18.495 Loi ngay v vt NS

  • Bi ging Lp v phn tch d n 30

    BI TP

    Lm bi

    7.3, 7.4, 7.5, 7.6, 7.8, 7.9, 7.10, 7.11, 7.13,

    7.14, 7.17, 7.18, 7.20, 7.21