Abfm Formula PDF
Abfm Formula PDF
Abfm Formula PDF
ABFM FORMULA
CHAPTER 8 (FINANCIAL AND OPERATING LEVERAGES):
Key Point:
% 𝐜𝐡𝐚𝐧𝐠𝐞 𝐢𝐧 𝐄𝐁𝐈𝐓
Degree of Operating Leverage (DOL) =
%𝐜𝐡𝐚𝐧𝐠𝐞 𝐢𝐧 𝐒𝐚𝐥𝐞𝐬
𝐂𝐨𝐧𝐭𝐫𝐢𝐛𝐮𝐭𝐢𝐨𝐧
DOL =
𝐄𝐁𝐈𝐓
% 𝐜𝐡𝐚𝐧𝐠𝐞 𝐢𝐧 𝐄𝐏𝐒
Degree of Financial Leverage (DFL) = %𝐜𝐡𝐚𝐧𝐠𝐞 𝐢𝐧 𝐄𝐁𝐈𝐓
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Impact of Interest Cost:
𝐄𝐁𝐈𝐓
DFL= 𝐄𝐁𝐓
𝐂𝐨𝐧𝐭𝐫𝐢𝐛𝐮𝐭𝐢𝐨𝐧
DCL =
𝐄𝐁𝐓
Break-Even Formula:
𝐅𝐢𝐱𝐞𝐝 𝐂𝐨𝐬𝐭
Break- Even Point =
𝐂𝐨𝐧𝐭𝐫𝐢𝐛𝐮𝐭𝐢𝐨𝐧 𝐩𝐞𝐫 𝐔𝐧𝐢𝐭
𝐈𝐧𝐢𝐭𝐢𝐚𝐥 𝐈𝐧𝐯𝐞𝐬𝐭𝐦𝐞𝐧𝐭
Pay Back Period =
𝐀𝐧𝐧𝐮𝐚𝐥 𝐂𝐚𝐬𝐡 𝐈𝐧𝐟𝐥𝐨𝐰
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Key Point:
Cash Inflow After Tax (CFAT)
F= P * (𝟏 + 𝒓)𝐧
𝟏
PVF OR PVIF = (𝟏+𝐫)𝒏
Key Point:
if NPV ≥ 0 :- Accept the Proposal
if NPV ≤ 0 :- Reject the Proposal
NPV FORMULA:
𝐀𝐯𝐞𝐫𝐚𝐠𝐞 𝐏𝐫𝐨𝐟𝐢𝐭
ARR= × 𝟏𝟎𝟎%
𝐀𝐯𝐞𝐫𝐚𝐠𝐞 𝐈𝐧𝐯𝐞𝐬𝐭𝐦𝐞𝐧𝐭
𝐓𝐨𝐭𝐚𝐥 𝐏𝐫𝐨𝐟𝐢𝐭
Average profit made yearly = 𝐍𝐨.𝐨𝐟 𝐘𝐞𝐚𝐫𝐬
𝐈𝐧𝐢𝐭𝐢𝐚𝐥 𝐈𝐧𝐯𝐞𝐬𝐭𝐦𝐞𝐧𝐭−𝐒𝐜𝐫𝐚𝐩
Average Investment = + 𝐒𝐜𝐫𝐚𝐩 𝐕𝐚𝐥𝐮𝐞
𝟐
Depreciation Formula:
𝐂𝟏 𝐂𝟐 𝐂𝟑 𝐂𝟒
NPV = + + + + ⋯ − 𝐂𝟎
(𝟏+𝒓)𝟏 (𝟏+𝒓)𝟐 (𝟏+𝒓)𝟑 (𝟏+𝒓)𝟒
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PROFITABILITY INDEX FORMULA :
𝐏𝐕 𝐨𝐟 𝐜𝐚𝐬𝐡 𝐢𝐧𝐟𝐥𝐨𝐰
= 𝐈𝐧𝐭𝐢𝐚𝐥 𝐜𝐚𝐬𝐡 𝐨𝐮𝐭𝐥𝐚𝐲
𝐏𝐕 𝐨𝐟 𝐜𝐚𝐬𝐡 𝐢𝐧𝐟𝐥𝐨𝐰
= 𝐓𝐨𝐭𝐚𝐥 𝐝𝐢𝐬𝐜𝐨𝐮𝐧𝐭𝐞𝐝 𝐜𝐚𝐬𝐡 𝐨𝐮𝐭𝐟𝐥𝐨𝐰
𝐂𝟏 𝐂𝟐 𝐂𝟑 𝐂𝟒
NPV = (𝟏+𝒓)𝟏 + (𝟏+𝒓)𝟐
+ (𝟏+𝒓)𝟑 + (𝟏+𝒓)𝟒
+ ⋯ − 𝐂𝟎
𝐂𝟏 𝐂𝟐 𝐂𝟑 𝐂𝟒
+ + + +⋯
(𝟏+𝒓)𝟏 (𝟏+𝒓)𝟐 (𝟏+𝒓)𝟑 (𝟏+𝒓)𝟒
= 𝐂𝟎
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INTERNAL RATE OF RETURN (IRR) FORMULA:
𝟏𝐂 𝐂𝟐 𝐂𝟑 𝐂 𝟒
NPV = (𝟏+𝒓) 𝟏 + (𝟏+𝒓)𝟐
+ (𝟏+𝒓) 𝟑 + (𝟏+𝒓)𝟒
+ ⋯ − 𝐂𝟎
𝐂𝟏 𝐂𝟐 𝐂𝟑 𝐂𝟒
𝐂𝟎 = 𝟏
+ 𝟐
+ 𝟑
+
(𝟏 + 𝒓) (𝟏 + 𝒓) (𝟏 + 𝒓) (𝟏 + 𝒓)𝟒
Or
𝐓
𝐂𝐭
∑ 𝐭
− 𝐂𝟎 = 𝟎
(𝟏 + 𝐈𝐑𝐑)
𝐭=𝟏
Where :
𝐂𝐭 =Net cash inflow during the period t.
𝐂𝟎 = Total initial investment costs.
IRR= The internal rate of return.
T= The number of time periods.
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MODIFIED INTERNAL RATE OF RETURN(MIRR) FORMULA:
TERNMINAL VALUE(TV):
𝐓𝐕
PVC =
(𝟏+𝐌𝐈𝐑𝐑)𝐧
FV= PV * (𝟏 + 𝐫)𝐧
𝐅𝐕
PV =
(𝟏+𝐫)𝐧
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CHAPTER 10 (CAPTIAL BUDGETING FOR INTERNATIONAL
PROJECT INVESTMENT DECISIONS):
Key Point:
COST OF EQUITY (𝐑 𝒆 ) OR (𝐊 𝒆 )
FORMULA:
COST OF EQUITY (𝐑 𝒆) = 𝐑 𝒇 + βL × (𝐑 𝒎 − 𝐑 𝒇)
Where,
𝐑 𝒇 = risk-free rate
βL= levered beta
𝐑 𝒎 = expected return on the market
𝐑 𝒎 − 𝐑 𝒇 = Market Risk Premium(mrp)
(𝟏 + 𝐫𝒂 ) = (𝟏 + 𝐫𝒇 ) × (𝟏 + 𝐫𝒑 )
Where,
𝐫𝒂 = is the risk-adjusted discount rate.
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𝐫𝒇 = is the risk-free discount rate and
𝐫𝒑 = is the risk premium
𝒕
(𝟏+𝐫 )
𝐒𝒕 = 𝐒𝟎 × [(𝟏+𝐫𝒉)]
𝒇
Where,
𝐒𝒕 =is the spot rate of US$ at time t
𝐒𝟎 = is the spot rate today.
𝐫𝒉 =is the notional risk-free interest rate in India,
𝐫𝒇 = is the risk-free interest rate in Foreign Country
NPV FORMULA:
NPV = PV – I
WACC = 𝐰𝐝 𝐫𝐝 + 𝐰𝐩 𝐫𝐩 + 𝐰𝐞 𝐫𝐞
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POST-TAX AVERAGE COST OF ADDITIONAL BEDT
FORMULA:
(𝟏−𝐓𝐜 )
CD= Total Interest ×
𝐓𝐨𝐭𝐚𝐥 𝐃𝐞𝐛𝐭
𝐏𝐚𝐲𝐨𝐮𝐭
𝐂𝐄 = 𝐄𝐏𝐒 × +G
𝐌𝐏
𝐂𝐑 = 𝐂𝐄 (𝟏 − 𝐓𝐏 )
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CHAPTER 14 (DISCOUNTED CASH FLOW
VALUATION):
𝐃𝟏 𝐃𝟏 (𝟏 + 𝐠) 𝐃𝟏 (𝟏 + 𝐠)𝐧
𝐏𝟎 = + +⋯ +⋯
(𝟏 + 𝐫) (𝟏 + 𝐫)𝟐 (𝟏 + 𝐫)𝐧+𝟏
Where,
𝐏𝟎 = Is the current fair price of the share or intrinsic
value of share.
𝐃𝟏 = is the expected dividend one year from now
𝐫 = is the rate of return required by the investor.
𝐧= represents any particular year and can be any
number between 0 and infinity.
𝐃𝟏
𝐏𝟎 =
(𝐫 − 𝐠)
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ZERO GROWTH MODEL FORMULA:
𝐃
𝐏𝟎 =
𝐫
𝐃𝟏 𝐃𝟏 (𝟏 + 𝐠 𝟏 ) 𝐃𝟏 (𝟏 + 𝐠 𝟏 )𝟐 𝐃𝟏 (𝟏 + 𝐠 𝟏 )𝐧−𝟏 𝐏𝒏
𝐏𝟎 = + + … + +
(𝟏 + 𝐫) (𝟏 + 𝐫)𝟐 (𝟏 + 𝐫)𝟑 (𝟏 + 𝐫)𝐧 (𝟏 + 𝐫)𝐧
Where,
𝐏𝟎 = is the present price of the equity share.
𝐠 𝟏 = is the extraordinary growth rate that is valid for
n years
𝐏 = is the price of the equity share at the end of
year n
𝟏 + 𝐠𝟏 𝐧
𝟏−( ) 𝐏𝒏
𝐏𝟎 = 𝐃𝟏 ( 𝟏 + 𝐫 )+
𝐫 − 𝐠𝟏 (𝟏 + 𝐫)𝐧
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Two-stage growth model assumes that the growth rate after n
years remains constant, 𝐏𝐧 will be equal to:
𝐃𝐧+𝟏
𝐏𝐧 =
𝐫−𝐠 𝟐
𝐃𝐧+𝟏 = 𝐃𝟏 (𝟏 + 𝐠 𝟏 )𝐧−𝟏 (𝟏 + 𝐠 𝟐 )
𝟏 + 𝐠𝟏 𝐧
𝟏−( ) 𝐧−𝟏
𝐏𝟎 = 𝐃𝟏 ( 𝟏 + 𝐫 ) + (𝐃𝟏 (𝟏 + 𝐠 𝟏 ) (𝟏 + 𝐠𝟐 )
)(
𝟏
)
𝐫 − 𝐠𝟏 𝐫 − 𝐠𝟐 (𝟏 + 𝐫)𝐧
H MODEL FORMULA:
𝐃𝟎 [(𝟏 + 𝐠 𝒏 ) + 𝐇 (𝐠 𝐚 − 𝐠 𝐧 )]
𝐏𝟎 =
𝐫 − 𝐠𝐧
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where r is the rate of return needed by investors,
𝐏𝟎 is the intrinsic value of each share,
𝐃𝟎 is the current dividend per share,
𝐠 𝐧 is the expected long-term growth rate (n is normal
growth rate),
𝐠 𝐚 is the current growth rate ( a is abnormal growth rate),
and
H is the one half of duration during which 𝐠 𝐚 levels out to
𝐠𝐧.
𝐃𝟎 (𝟏 + 𝐠 𝒏 ) 𝐃𝟎 𝐇 (𝐠 𝒂 − 𝐠 𝒏 )
𝐏𝟎 = +
𝐫 − 𝐠𝐧 𝐫 − 𝐠𝐧
𝐃𝟎 (𝟏 + 𝐠 𝒏 )
𝐫 − 𝐠𝐧
𝐃𝟎 𝐇 (𝐠 𝒂 − 𝐠 𝒏 )
𝐫 − 𝐠𝐧
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CHAPTER 15 (OTHER NON-DCF VALUATION MODELS):
FORMULA:
EBITDA Basis:
𝐄𝐕
𝐄𝐁𝐈𝐓𝐃𝐀
𝐄𝐕
𝐁𝐨𝐨𝐤 𝐕𝐚𝐥𝐮𝐞
Seles Basis:
𝐄𝐕
𝐒𝐚𝐥𝐞𝐬 𝐕𝐚𝐥𝐮𝐞
P/E Multiple:
𝐏𝟎
𝐄𝟏
𝐏𝟎 (𝟏−𝐛)
=
𝐄𝟏 𝒓−𝐑𝐎𝐄∗𝐛
g= b * ROE
𝐏𝟎 (𝟏−𝐛)
=
𝐄𝟏 𝒓−𝐠
P/B Multiple:
𝐏𝟎 𝑹𝑶𝑬 (𝟏−𝐛)
=
𝐁𝟎 𝒓−𝐠
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𝐏𝟎 𝐍𝐏𝐌 (𝟏+𝐠)(𝟏−𝐛)
=
𝐒𝟎 𝒓−𝐠
EV to EBITDA Multiple:
𝐄𝑽 (𝐑𝐎𝐈𝐂 − 𝐠) × (𝟏 − 𝐃𝐀) × (𝟏 − 𝐭)
=
𝐄𝐁𝐈𝐓𝐃𝐀 𝐑𝐎𝐈𝐂 × (𝐖𝐀𝐂𝐂 − 𝐠)
EV/EBIT Multiple:
𝐄𝐕𝟎 𝟏
=
𝐅𝐂𝐅𝐅𝟏 (𝐖𝐀𝐂𝐂 − 𝐠)
EV/BV Multiple:
𝐄𝑽 (𝐑𝐎𝐈𝐂 − 𝐠)
=
𝐁𝐕 (𝐖𝐀𝐂𝐂 − 𝐠)
EV/Sales Multiple: