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    The Investment DecisionInvest in assets that earn a

    return greater than theminimum acceptable hurdle

    rate

    The Financing DecisionFind the right kind of debtfor your rm and the rightmix of debt and equity to

    fund your operations

    The Dividend DecisionIf you cannot nd investments

    that make your minimumacceptable rate, return the cash

    to owners of your business

    The hurdle rateshould reect theriskiness of theinvestment andthe mix of debt

    and equity usedto fund it.

    The return shouldreect the

    magnitude andthe timing of the

    cashows as welllas all side effects.

    The optimalmix of debtand equity

    maximizes rm

    value

    The right kindof debt

    matches thetenor of your

    assets

    How muchcash you can

    returndepends upon

    current &potential

    investmentopportunities

    How you chooseto return cash tothe owners will

    depend onwhether they

    prefer dividendsor buybacks

    Maximize the value of the business (rm)

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    12.5% of bookvalue at end ofprior year($3,000)

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    (a) Based upon book capital at the start of each year (b) Based upon average book capital over the year

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    To get from income to cash ow, we

    I. added back all non-cash charges such as depreciation. Tax

    benets:

    II. subtracted out the capital expenditures

    III. subtracted out the change in non-cash working capital

    Aswath Damodaran

    0 1 2 3 4 5 6 7 8 9 10

    After-tax Operating Income Wdhi Wdom Wdfk dmn diei diko dioo dhfi dkje dkij+ Depreciation & Amortization de dfe dkif dkmo dkkk dhli dhml dhmk dhmk dhmm dhmn- Capital Expenditures diLfee djLeee djLjnn dlfi dilm difn dinf dhjk dhhe dhkl dhfe

    - Change in non-cash Work Capital $0 $63 $25 $38 $31 $16 $17 $19 $21 $5

    Cashow to rm ($2,500) ($982) ($921) ($361) $198 $285 $314 $332 $367 $407 $434

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    $ 500 million hasalready been spent & $50 million indepreciation will existanyway

    2/3rd of allocated G&A is xed.

    Add back this amount (1-t) Tax rate = 36.1%

    Aswath Damodaran

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    # 75=8 KB=8E9 6?; 5< @8[:@ 95B:E=878:9?G E?C4 I56C

    0 1 2 3 4 5 6 7 8 9 10

    Revenues $0 $1,250 $1,750 $2,500 $3,125 $3,438 $3,781 $4,159 $4,575 $4,667Direct Expenses $0 $788 $1,103 $1,575 $1,969 $2,166 $2,382 $2,620 $2,882 $2,940Incremental Depreciation $0 $375 $419 $394 $322 $317 $314 $314 $316 $318Incremental G&A $0 $63 $88 $125 $156 $172 $189 $208 $229 $233Incremental Operating Income $0 $25 $141 $406 $678 $783 $896 $1,017 $1,148 $1,175- Taxes $0 $9 $51 $147 $245 $283 $323 $367 $415 $424

    Incremental after-tax Operating income $0 $16 $90 $260 $433 $500 $572 $650 $734 $751+ Incremental Depreciation $0 $375 $419 $394 $322 $317 $314 $314 $316 $318- Capital Expenditures $2,000 $1,000 $1,188 $752 $276 $258 $285 $314 $330 $347 $350- Change in non-cash Working Capital $0 $63 $25 $38 $31 $16 $17 $19 $21 $5

    Cashow to rm ($2,000) ($1,000) ($859) ($267) $340 $466 $516 $555 $615 $681 $715

    !"#$%& ($)*+$,$-

    31

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    Aswath Damodaran

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    Aswath Damodaran

    -$3,000.00

    -$2,000.00

    -$1,000.00

    $0.00

    $1,000.00

    $2,000.00

    $3,000.00

    $4,000.00

    $5,000.00

    8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 21% 22% 23% 24% 25% 26% 27% 28% 29% 30%

    N P V

    Discount Rate

    Internal Rate of Return=12.60%

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    ! ,48 F=5^8E9 BC ? @55K 5:8M %CB:@ J78W68B@498KL B:E=878:9?G E?C4I56CL 94BC F=5^8E9 F=5HBK8C ? =89A=: 5< jiMmepM ,4BC BC @=8?98= 94948 E5C9 5< E?FB9?G 5< nMkmpM

    ! ,48 '&& ?:K 948 (D+ 6BGG ;B8GK CB7BG?= =8CAG9C 75C9 5< 948 J78L945A@4 948=8 ?=8 KBR8=8:E8C O89688: 948 965 ?FF=5?E48C 94?97?; E?AC8 F=5^8E9 =?:VB:@C 95 H?=; K8F8:KB:@ AF5: 948 ?FF=5?E4AC8KM ,48; E?: ;B8GK KBR8=8:9 =8CAG9CL 8CF8EB?GG; 64; E57F?=B:@?E=5CC F=5^8E9C O8E?AC8! # F=5^8E9 E?: 4?H8 5:G; 5:8 (D+L 648=8?C B9 E?: 4?H8 75=8 94?: 5:8 '&&M! ,48 (D+ BC ? K5GG?= CA=FGAC H?GA8L 648=8?C 948 '&& BC ? F8=E8:9?@8 78?CA=

    5< =89A=:M ,48 (D+ BC 948=8

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    44

    `58C 948 EA==8:E; 7?Q8=_

    ! ,48 ?:?G;CBC 6?C K5:8 B: K5GG?=CM \5AGK 948E5:EGACB5:C 4?H8 O88: ?:; KBR8=8:9 B< 68 4?K K5:8948 ?:?G;CBC B: Y=?TBGB?: &8?BC_?M 38COM (5

    Aswath Damodaran

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    45

    ,48‘‘

    /5:CBC98:E; &AG8”

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    46

    `BC:8; ,4878 D?=V- D=5^8E9 #:?G;CBC B: d&

    !"#$%& ($)*+$,$-

    46

    ! ,48 B:I?J5: =?98C 68=8 ?CCA78K 95 O8 op B: Y=?TBG ?:K ip B: 948%:B98K $9?98CM ,48 d&]K5GG?= =?98 ?9 948 J78 5< 948 ?:?G;CBC 6?CiMhf d&]K5GG?=M

    ! ,48 8NF8E98K 8NE4?:@8 =?98 6?C K8=BH8K ?CCA7B:@ FA=E4?CB:@F568= F?=B9;M! "NF8E98K "NE4?:@8 &?989 s "NE4?:@8 &?98 95K?; y SjMeo]jMeiU9

    ! ,48 8NF8E98K @=5694 =?98 ?u8= ;8?= je BC CJGG 8NF8E98K 95 O8 948B:I?J5: =?98L OA9 B9 BC 948 op d& B:I?J5: =?98M

    ! ,48 E5C9 5< E?FB9?G B: d& 6?C K8=BH8K

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    47

    `BC:8; ,4878 D?=V- d& (D+

    (D+ s &d lLlkf]iMhfs d hLiom !BGGB5:(D+ BC 8ZA?G 95 (D+ B: K5GG?= 98=7C

    Discount at $R cost of capital

    = (1.0846) (1.09/1.02) – 1 = 15.91%Expected Exchange Rate

    t

    = Exchange Rate today * (1.09/1.02) t

    Aswath Damodaran

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    48

    %:E8=9?B:9; B: D=5^8E9 #:?G;CBC- \4?9 E?: 68K5_

    !"#$%& ($)*+$,$-

    48

    ! Y?C8K 5: 5A= 8NF8E98K E?C4 I56C ?:K 948 8CJ7?98K E5C9 5< E?FB9?GL 948F=5F5C8K 94878 F?=V G55VC GBV8 ? H8=; @55K B:H8C978:9

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    49

    0:8 CB7FGBCJE C5GAJ5:- $88 456 ZABEVG;;5A E?: @89 ;5A= 75:8; O?EVa

    ! '< ;5A= OB@@8C9

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    50

    # CGB@49G; 75=8 C5F4BCJE?98K ?FF=5?E4-$8:CBJHB9; #:?G;CBC q \4?9WB< xA8CJ5:Ca! ,48 (D+L '&& ?:K ?EE5A:J:@ =89A=:C

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    52

    ,48 P:?G C98F AF- ':E5=F5=?98 F=5O?OBGBCJE8CJ7?98CMM &?948= 94?: 8NF8E98K H?GA8CM

    Actual Revenues as % of Forecasted Revenues (Base case = 100%)

    Operating Expenses at Parks as % of Revenues (Base Case = 60%)

    Country Risk Premium (Base Case = 3%(Brazil))

    Aswath Damodaran

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    53

    ,48 =8CAGJ:@ CB7AG?J5:a

    Average = $3.40 billion Median = $3.28 billion

    NPV ranges from -$1 billion to +$8.5 billion. NPV is negative 12% of thetime.

    Aswath Damodaran

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    54

    35A ?=8 948 K8EBCB5: 7?V8=a

    !"#$%& ($)*+$,$-

    54

    ! #CCA78 94?9 ;5A ?=8 948 F8=C5: ?9 `BC:8; 645 BC @BH8:948 =8CAG9C 5< 948 CB7AG?J5:M ,48 ?H8=?@8 ?:K 78KB?:(D+ ?=8 EG5C8 95 ;5A= O?C8 E?C8 H?GA8C 5< dhMio OBGGB5:M.568H8=L 948=8 BC ? jep F=5O?OBGB9; 94?9 948 F=5^8E9

    E5AGK 4?H8 ? :8@?JH8 (D+ ?:K 94?9 948 (D+ E5AGK O8 ?G?=@8 :8@?JH8 H?GA8_ .56 65AGK ;5A AC8 94BCB:

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    55

    "ZAB9; #:?G;CBC- ,48 D?=?GG8GC

    !"#$%& ($)*+$,$-

    55

    ! ,48 B:H8C978:9 ?:?G;CBC E?: O8 K5:8 8:J=8G; B: 8ZAB9;98=7CL ?C 68GGM ,48 =89A=:CL E?C4I56C ?:K 4A=KG8 =?98C6BGG ?GG O8 K8P:8K

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    56

    # +?G8 '=5: 0=8 !B:8 B: /?:?K? ':H8C978:90F8=?J:@ #CCA7FJ5:C

    !"#$%& ($)*+$,$-

    56

    jM ,48 7B:8 6BGG =8ZAB=8 ?: B:BJ?G B:H8C978:9 5< djMif OBGGB5: ?:K BC 8NF8E98K 95 4?H8 ? F=5KAEJ5:E?F?EB9; 5< n 7BGGB5: 95:C 5< B=5: 5=8L 5:E8 8C9?OGBC48KM ,48 B:BJ?G B:H8C978:9 5< djMif OBGGB5: 6O8 K8F=8EB?98K 5H8= 98: ;8?=CL ACB:@ K5AOG8 K8EGB:B:@ O?G?:E8 K8F=8EB?J5:L K56: 95 ? C?GH?@8H?GA8 5< dife 7BGGB5: ?9 948 8:K 5< 98: ;8?=CM

    iM ,48 7B:8 6BGG C9?=9 F=5KAEJ5: 7BK6?; 94=5A@4 948 :8N9 ;8?=L F=5KAEB:@ k 7BGGB5: 95:C 5< B=5:5=8

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    57

    1B:?:EB:@ #CCA7FJ5:C

    !"#$%& ($)*+$,$-

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    +?G8 FG?:C 95 O5==56 deMf OBGGB5: ?9 B9C EA==8:9 E5C9 5< K8O9 5< kMefp SO?C8AF5: B9C =?J:@ 5< #WUL ACB:@ ? 98:W;8?= 98=7 G5?: S648=8 948 G5?: 6BGG O8 F?BK5R B: 8ZA?G ?::A?G B:E=878:9CUM ,48 O=8?VK56: 5< 948 F?;78:9C 8?E4 ;8?=B:95 B:98=8C9 ?:K F=B:EBF?G ?=8 F=5HBK8K O8G56-

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    58

    ,48 .A=KG8 &?98

    !"#$%& ($)*+$,$-

    58

    ! ,48 ?:?G;CBC BC K5:8 %$ K5GG?= 98=7C ?:K 95 8ZAB9;B:H8C95=CM ,4ACL 948 4A=KG8 =?98 4?C 95 O8 ? %$ d E5C5< 8ZAB9;M

    ! ': 948 8?=GB8= C8EJ5:L 68 8CJ7?98K E5C9C 5< 8ZAB9;LK8O9 ?:K E?FB9?G B: %$ K5GG?=C ?:K d&

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    59

    (89 ':E578- +?G8 '=5: 0=8 !B:8

    !"#$%& ($)*+$,$-

    59

    1 2 3 4 5 6 7 8 9 10

    Production (millions of tons) 4.00 6.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00

    * Price per ton 102 104.04 106.12 108.24 110.41 112.62 114.87 117.17 119.51 121.9

    = Revenues (millions US$) $408.00 $624.24 $848.97 $865.95 $883.26 $900.93 $918.95 $937.33 $956.07 $975.20

    - Variable Costs $180.00 $275.40 $374.54 $382.03 $389.68 $397.47 $405.42 $413.53 $421.80 $430.23

    - Fixed Costs $125.00 $127.50 $130.05 $132.65 $135.30 $138.01 $140.77 $143.59 $146.46 $149.39- Depreciation $200.00 $160.00 $128.00 $102.40 $81.92 $65.54 $65.54 $65.54 $65.54 $65.54EBIT -$97.00 $61.34 $216.37 $248.86 $276.37 $299.91 $307.22 $314.68 $322.28 $330.04- Interest Expenses $20.25 $18.57 $16.82 $14.99 $13.10 $11.13 $9.07 $6.94 $4.72 $2.41

    Taxable Income -$117.25 $42.77 $199.56 $233.87 $263.27 $288.79 $298.15 $307.74 $317.57 $327.63- Taxes ($39.87) $14.54 $67.85 $79.51 $89.51 $98.19 $101.37 $104.63 $107.97 $111.40

    = Net Income (millions US$) -$77.39 $28.23 $131.71 $154.35 $173.76 $190.60 $196.78 $203.11 $209.59 $216.24 Book Value and Depreciation

    Beg. Book Value $1,250.00 $1,050.00 $890.00 $762.00 $659.60 $577.68 $512.14 $446.61 $381.07 $315.54- Depreciation $200.00 $160.00 $128.00 $102.40 $81.92 $65.54 $65.54 $65.54 $65.54 $65.54+ Capital Exp. $0.00 $0.00 $0.00 $0.00 $0.00 $0.00 $0.00 $0.00 $0.00 $0.00

    End Book Value $1,050.00 $890.00 $762.00 $659.60 $577.68 $512.14 $446.61 $381.07 $315.54 $250.00- Debt Outstanding $458.45 $415.22 $370.24 $323.43 $274.73 $224.06 $171.34 $116.48 $59.39 $0.00

    End Book Value of Equity $591.55 $474.78 $391.76 $336.17 $302.95 $288.08 $275.27 $264.60 $256.14 $250.00

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    60

    # &0" #:?G;CBC

    !"#$%& ($)*+$,$-

    60

    Year Net Income Beg. BV:Assets Depreciation Capital

    Expense Ending BV:

    Assets BV of

    WorkingCapital

    Debt BV: Equity Average BV:Equity ROE

    0 $0.00 $0.00 $1,250.00 $1,250.00 $81.60 $500.00 $831.601 ($77.39) $1,250.00 $200.00 $0.00 $1,050.00 $124.85 $458.45 $716.40 $774.00 -10.00% 2 $28.23 $1,050.00 $160.00 $0.00 $890.00 $169.79 $415.22 $644.57 $680.49 4.15% 3 $131.71 $890.00 $128.00 $0.00 $762.00 $173.19 $370.24 $564.95 $604.76 21.78% 4 $154.35 $762.00 $102.40 $0.00 $659.60 $176.65 $323.43 $512.82 $538.89 28.64% 5 $173.76 $659.60 $81.92 $0.00 $577.68 $180.19 $274.73 $483.13 $497.98 34.89% 6 $190.60 $577.68 $65.54 $0.00 $512.14 $183.79 $224.06 $471.87 $477.50 39.92% 7 $196.78 $512.14 $65.54 $0.00 $446.61 $187.47 $171.34 $462.74 $467.31 42.11% 8 $203.11 $446.61 $65.54 $0.00 $381.07 $191.21 $116.48 $455.81 $459.27 44.22% 9 $209.59 $381.07 $65.54 $0.00 $315.54 $195.04 $59.39 $451.18 $453.50 46.22%

    10 $216.24 $315.54 $65.54 $0.00 $250.00 $0.00 $0.00 $250.00 $350.59 61.68% Average ROE over the ten-year period = 31.36%

    US $ ROE of 31.36% is greater thanVale Iron Ore US$ Cost of Equity of 11.13%

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    61

    1=57 D=5^8E9 &0" 95 1B=7 &0"

    !"#$%& ($)*+$,$-

    61

    ! #C 6B94 948 8?=GB8= ?:?G;CBCL 648=8 68 AC8K =89A=: 5: E?FB9?G ?:K E5C9 5<E?FB9?G 95 78?CA=8 948 5H8=?GG ZA?GB9; 5< F=5^8E9C ?9 P=7CL 68 E?:E57FA98 =89A=: 5: 8ZAB9; ?:K E5C9 5< 8ZAB9; 95 F?CC ^AK@78:9 5:648948= P=7C ?=8 E=8?J:@ H?GA8 95 B9C 8ZAB9; B:H8C95=CM

    ! $F8EBPE?GG;L 68 E?: E57FA98 948 =89A=: 5: 8ZAB9; S:89 B:E578 ?C ?F8=E8:9?@8 5< O55V 8ZAB9;U ?:K E57F?=8 95 948 E5C9 5< 8ZAB9;M ,48 =89A=:CF=8?K BC 948:-! "ZAB9; &89A=: $F=8?K s &89A=: 5: "ZAB9; v /5C9 5< 8ZAB9;

    ! ,4BC 78?CA=8 BC F?=JEAG?=G; AC8

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    62

    #: ':E=878:9?G /1 #:?G;CBC

    !"#$%& ($)*+$,$-

    62

    0 1 2 3 4 5 6 7 8 9 10 Net Income ($77.39) $28.23 $131.71 $154.35 $173.76 $190.60 $196.78 $203.11 $209.59 $216.24

    + Depreciation & Amortization $200.00 $160.00 $128.00 $102.40 $81.92 $65.54 $65.54 $65.54 $65.54 $65.54- Capital Expenditures $750.00 $0.00 $0.00 $0.00 $0.00 $0.00 $0.00 $0.00 $0.00 $0.00 $0.00- Change in Working Capital $81.60 $43.25 $44.95 $3.40 $3.46 $3.53 $3.60 $3.68 $3.75 $3.82 ($195.04) - Principal Repayments $41.55 $43.23 $44.98 $46.80 $48.70 $50.67 $52.72 $54.86 $57.08 $59.39+ Salvage Value of mine $250.00

    Cashow to Equity ($831.60) $37.82 $100.05 $211.33 $206.48 $203.44 $201.86 $205.91 $210.04 $214.22 $667.42

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    63

    #: "ZAB9; (D+

    !"#$%& ($)*+$,$-

    63

    Discounted at US$ cost ofequity of 11.13% for Vale’siron ore business

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    64

    #: "ZAB9; '&&

    !"#$%& ($)*+$,$-

    64

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    65

    &8?G H8=CAC (57B:?G #:?G;CBC

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    98=7C S6B94 :5 B:I?J5:U ?:K KBCE5A:98K 9487 ?9 ? =8?GE5C9 5< 8ZAB9;M \5AGK 948 ?:C68= O8 KBR8=8:9_! 38C! (5! "NFG?B:

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    66

    `8?GB:@ 6B94 !?E=5 %:E8=9?B:9;- ,48 "R8E9 5<'=5: 0=8 D=BE8

    !"#$%& ($)*+$,$-

    66

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    67

    #:K "NE4?:@8 &?98Ca

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    68

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    Will the benets persist if investors hedgethe risk instead of the rm?

    NoYes

    NoYes

    Can marginal investorshedge this risk cheaper

    than the rm can?

    NoYes

    Is there a signicant benet interms of higher expected cashows or a lower discount rate?

    NoYes

    Is there a signicant benet interms of higher cash ows ora lower discount rate?

    What is the cost to the rm of hedging this risk?

    Negligible High

    Do not hedge this risk.The benets are smallrelative to costs

    Hedge this risk. Thebenets to the rm willexceed the costs

    Hedge this risk. Thebenets to the rm willexceed the costs

    Let the risk passthrough to investorsand let them hedgethe risk.

    Hedge this risk. Thebenets to the rm willexceed the costs

    Indifferent tohedging risk

    Cash ow benets - Tax benets

    - Better project choices

    Discount rate benets - Hedge "macro" risks (cost of equity)- Reduce default risk (cost of debt or debt ratio)

    Survival benets (truncation risk)- Protect against catastrophic risk- Reduce default risk

    Value Trade Off

    Earnings Multiple - Effect on multiple

    Earnings - Level- Volatility

    X

    Pricing Trade

    !"#$%& ($)*+$,$-69

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    70

    #EZABCBJ5:C ?:K D=5^8E9C

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    72

    "CJ7?J:@ 948 /5C9 5< /?FB9?G

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    76

    1B=C9 D=B:EBFG8C

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    76

    The Investment DecisionInvest in assets that earn a

    return greater than theminimum acceptable hurdle

    rate

    The Financing DecisionFind the right kind of debtfor your rm and the rightmix of debt and equity to

    fund your operations

    The Dividend DecisionIf you cannot nd investments

    that make your minimumacceptable rate, return the cash

    to owners of your business

    The hurdle rateshould reect theriskiness of theinvestment andthe mix of debt

    and equity used

    to fund it.

    The return shouldreect the

    magnitude andthe timing of the

    cashows as welllas all side effects.

    The optimalmix of debtand equity

    maximizes rmvalue

    The right kindof debt

    matches thetenor of your

    assets

    How muchcash you can

    returndepends upon

    current &potential

    investmentopportunities

    How you chooseto return cash tothe owners will

    depend onwhether they

    prefer dividendsor buybacks

    Maximize the value of the business (rm)