Title | AEVM introduction |
---|---|
Author | zi ren |
Course | Financial Reporting and Financial Statement analysis |
Institution | The University of Warwick |
Pages | 66 |
File Size | 3.3 MB |
File Type | |
Total Downloads | 73 |
Total Views | 150 |
AEVM introduction...
Dr. Lisa Liu [email protected] C1.112
IB9Y9B Financial Reporting and Financial Statement Analysis – Valuation Models
5.1 Valuation Models – Overview & Abnormal Earnings Valuation Model (AEVM)
Session Outlines • Introduce four fundamental valuation models • Review usefulness and limitations of DCF as a focus for company valuation and as a financial performance indicator • Highlight usefulness of net profit and operating profit as indicators of financial performance by focusing on their usefulness for company valuation.
Session Readings • Compulsory textbook readings Penman – Ch 5 pages, 161-165; Ch13 and 14
• Recommended reading Feltham, G. A. and Ohlson, J. A. (1995) ‘Valuation and clean surplus accounting for operating and financial activities’. Contemporary Accounting Research, Vol. 11(2), 689-731
Valuation Basis Economic theory teaches us that the value of an asset is:
Projected Future Payoffst (1 + Discount Rate)t t =1 n
V0 = ∑
Expected future payoffs can be measured in terms of: • Cash Flows – dividends and FCF • Earnings – abnormal earnings (AE or RI) and abnormal operating profit (AOP or ReOI)
Key Ingredients of Each Valuation Model Equity valuation (cost of equity)
Firm valuation (equity plus debt – cost of capital)
Cash flow based valuation approaches
(1) Dividends
(2) Free cash flow
Profit based valuation approaches
(3) Abnormal earnings – return on equity (ROE) and cost of equity
(4) Abnormal operating profit – return on net operating assets (RNOA) and cost of capital
Cash Flow Based Valuation ∞ CFt +1 CFt + 2 CFt + i + + = ...... ∑ 2 i (1 + ρ ) (1 + ρ ) i =1 (1 + ρ ) CFt + 3,terminal CFt +1 CFt + 2 Vt = + + 2 (1 + ρ ) (1 + ρ ) ( ρ − g) * (1 + ρ ) 2
Vt =
Going Concern Terminal value
• Dividends – Equity based − ρ = Cost of equity
• DCF – Enterprise (firm) based − Unlevered FCF; ρ = Cost of capital
− - intrinsic value of equity
(WACC) − - intrinsic value of firm
= −
Valuation Models – Fundamental Analysis Free cash flows
Dividends
Earnings Net income (AE)
Cash flow
NOPAT (AOP)
Dividends-based valuation model
DCF valuation model
Earnings-based valuation model
Wealth distribution
Liquidation/Wealth distribution
Wealth creation
Equity value ( )
+
Value of Net = Debt ( )
Firm value ( )
Free Cash Flow Valuation Model
30 (0.134 - 0.05)1.134 2
Assume following 3 year cash flow forecasts, a growth rate of 5% after 2020 and a WACC of 13.4%:
2018
2019
2020+
CFO after tax (C)
100
100
110
Capital expenditure (I)
150
120
80
FCF PV of FCF Intrinsic value of operation or business is £218m. If the firm has £54.5 m net debt (for example), value of equity is £163.5 m (i.e. £218-54.5).
Previously: Theoretical Relationship Between Profit, Book Value, and Cash Flow 1. Assets (A) – Liabilities (L) = Equity (CSE; net assets) 2. CSEt = CSEt-1 + (Revenues – Expenses) – Dividends (d) 3. ΔCSE = Profit – d = (NOPAT – NIE) – d 4. ΔCSE = ΔNOA – ΔNFO 5. FCF → C – I = d + F where F = NIE – ΔNFO So, combine 3, 4, and 5 d = Profit – ΔCSE = (NOPAT – NIE) – Δ(NOA – NFO) So if we re-arrange our accounting equation: d + (NIE – ΔNFO) = NOPAT – ΔNOA = FCF (C – I)
Earnings-based Valuation Models Abnormal Earnings Valuation Model (AEVM)
Introduction:
Cash flow based valuation
Equity valuation (cost of equity)
Firm valuation (equity plus debt – cost of capital)
(1) Dividends
(2) Free cash flow
approaches Accountingbased valuation approaches
(3) s Abnormal earnings – r return on equity (ROE) and cost of equity
(4) Abnormal operating profit – return on net operating assets (RNOA) and cost of capital
Key Thrust of The AccountingBased Valuation Models • Making accounting information useful in establishing intrinsic value How does a firm create value?
• The value creation concept of valuation Focus of the fundamentals Separate value creating activities from zero value creating activities →It’s the operating activities that add value in a business, so don’t confuse them with the financing activities
Key Thrust of The Accounting-Based Valuation Models (Cont’d)
MVE = CSE + extra value (expectation & speculation)
Abnormal Earnings Valuation Model (AEVM) • AEVM:
+1 +2 +. . . = + +(1 + )2 (1 + )
• Define abnormal earnings, i.e. AE (also known as residual earnings, i.e. RI/RE), + ≡ + − +−
AE can also be rewritten in the form of ROE AEt = (ROEt – ρ)*CSEt-1 Note: ρ here is cost of equity
AE > 0 suggests ROE > ρ , i.e. satisfactory earnings power
Deriving the AEVM from the DVM • Ohlson (1995) • Dividend valuation model:
∞
+1 +2 + = + +. . . . . . = � 2 (1 + ) (1 + ) 1+ =1
• Assuming that the ‘clean surplus relation’ holds: + = +−1 + + − +
dividends can be written as: + = + − (+ − +−1 )
Deriving the AEVM (Cont’d) • Abnormal earnings (or residual income) defined previously • at date t+i as follows: + ≡ + − +−1 which implies that:
+ ≡ + + +−1
dt+i ≡ AEt+i – CSEt+i + (1+ ρ) CSEt+i-1 • Replacing dividends with earnings less the change in the book value of equity and then replacing earnings with abnormal earnings plus opening book value of equity gives the AEVM: +1 +2 +. . . . . . = + + (1 + ) (1 + )2
Example: GE
The following data is available for GE. Cost of equity is 10% and assume abnormal earnings is expected to grow at 4% from 2004. The book value per share is 4.32 at year end of 1999. Calculate equity value per share using AEVM. 1999A
2000F
2001F
2002F
2003F
2004F
EPS
1.29
1.38
1.42
1.5
1.6
DPS
0.57
0.66
0.73
0.77
0.82
A= Actual, F= Forecast, BPS= Book value per share, EPS=Earnings per share, DPS= Dividend per share
Clean-surplus: BPS2000=BPS1999+EPS2000-DPS2000
1999A
Abnormal earnings: AE2000=NI2000- ρ*CSE1999
GE Case 2000F
2001F
2002F
2003F
2004F
EPS
1.29
1.38
1.42
1.5
1.6
DPS
0.57
0.66
0.73
0.77
0.82
0.78
0.724
0.634
0.584
10.04
BPS
4.32
AE@10% Present Value (PV) of AE Total PV to 2004
Value per share
0.882 (0.1 - 0.04)1.14
03/03/2001 03/05/2001 03/07/2001 03/09/2001 03/11/2001 03/01/2002
03/05/2002 03/07/2002 03/09/2002 03/11/2002
17.08 18.22 19.38 20.59 21.88
03/01/2003
Intrinsic value 1999 Intrinsic value 2000 Intrinsic value 2001 Intrinsic value 2002 Intrinsic value 2003
03/03/2002
GE Price Chart (2000-2003)
03/01/2001
60
03/11/2000
50
03/09/2000
40
03/07/2000
30
03/05/2000
20
03/03/2000
10
0 03/01/2000
Value Drivers in the AEVM • We can write the AEVM as follows: +1 − +2 − +1 +3 − +2 + ... + + 1+ 3 (1 + ) 1+ 2
= + Abnormal Returns
= +
(+1 − )(+2 − )+1(+3 − )+2 + + +. . . Growth 1+ 2 1+ 1 1+ 3
= +
where
in equity
(+1 −)(+2 −)(1++1 ) (+3 −)(1++1 )(1++2 ) +. . . . . . + + 1+ 3 1+ 2 1+
+ ≡ + /+− is expected
ROE in period t+i and + ≡ (+ /+− − is)expected growth in book value of equity in period t+i.
Drivers of Abnormal Earnings = +
(+1 − )
1+
+
( (+2 − )(1 + +1 ) +3 − )(1 + +1 )(1 + +2 +.). . + 3 1 + 2 1+
1. ROE vs. required return, i.e. cost of equity − − −
If forecasted ROE equals the required return, then AE will be zero, and V = CSE If forecasted ROE is greater than the required return, then V > CSE If forecasted ROE is less than the required return, then V < CSE
2. Growth in book value of equity (net assets: CSE) −
Put in place to earn ROE
So…. The Implication AE will change with change with ROE and growth in book value of equity ΔAE = (NI1 – ρCSE0) – (NI0 – ρCSE-1) = ΔNI – ρΔCSE
In case of no dividends and therefore, given that CSE0 = CSE-1 + NI0 ΔAE = (NI1 – NI0) – ρ(CSE-1 + NI0 - CSE-1) = ΔNI - ρNI0
Analysis of Growth in Equity Investment Accounting equation: NOA = NFO + CSE SO ∆CSE = ΔNOA - ΔNFO 1 Sales But, as ATO = NOA , NOA = Sales× ATO 1 Hence, ∆CSE = ∆ Sales × ATO - ΔNFO These components of growth in equity investment: 1. Growth in sales 2. Change in net operating assets that support each dollar of sales 3. Change in the amount of net debt that is used to finance the change in net operating assets rather than equity
Implication 1: AE = Zero Scenario • AE1 = AE0 = 0 • NI1 – ρe*CSE0 = NI0 – ρe*CSE-1 = 0 → ROE = ρe
• What does this imply? →How do analysts explain the zero AE condition? →Intrinsic value of equity(t)= CSEt
Implication 2: Zero AE Growth Scenario • AE1 = AE0, i.e. AE1 – AE0 = 0 • NI1 – ρe*CSE0 = NI0 – ρe*CSE-1 PPE INC. (WACC = 10%; cost of equity = 12%) Year 0 Year -1 NOA 74.4 69.9 NFO 7.7 7.4 CSE 66.7 62.5 Operating income (OI or NOPAT) 9.8 Net income 9.5
Implications 2: Zero AE Growth Scenario (Cont’d) 1. AE0 = 9.5 – 12%*62.5 = 2 2. AE1 = AE0 = 9.5 – 12%*62.5 = 2 3. AE1 = 2 = Net income1 – 12%*66.7; 4. Net income1 = 2 + 12%*66.7 = 10.004 or Net income1 = 9.5 – 12%*62.5 + 12%*66.7 = 9.5 + 12% (66.7 – 62.5) → Δ Net income = 12% * (66.7 – 62.5) = ρΔCSE
Summary: Zero AE Growth Scenario 1. No growth does not mean that there is no growth in profit and net assets, BUT ΔNI = ρΔCSE; Capex can only earn the required rate of return, ρe, no more! 2. AE0=AE1=AEt+1. Thus, AE becomes constant. → The intrinsic value of equity in Year 0 = CSE0 + AE/ρ →Where ρ = cost of equity
Cases of Growth Based on Abnormal Earnings
A Corp.
Company: General Electric
(Dollar amounts in millions)
2002
2001
2000
1999
1998
1997
Sales Sales growth rate Common equity Common equity growth rate ROE Residual earnings Abnormal earnings growth
131,698 4.6% 68,706 16.2% 25.8% 7,539 (86)
125,913 (3.0%) 54,824 8.6% 27.1% 7,625 (3)
129,853 16.3% 50,492 18.6% 29.9% 7,628 1,563
111,630 11.1% 42,557 5.5% 27.6% 6,065 844
100,469 10.6% 38,880 12.97% 26.2% 5,221 227
90,840 14.7% 34,438 10.6% 27.2% 4,994
A (Dollar amounts in millions)
Firm: Reebok 2001
2000
1999
1998
1997
1996
1995
Sales Sales growth rate Common equity
2,993 4.5% 720
2,865 -1.2% 608
2,900 -10.1% 529
3,225 -11.5% 524
3,644 4.7% 507
3,479 −0.1% 381
3,481 6.1% 941
Common equity growth rate
18.4%
14.9%
1.0%
3.4%
33.1%
-59.5%
-5.8%
ROE Residual earnings Abnormal earnings growth
16.9% 30 13
15.3% 17 69
2.1% (52) (20)
5.8% (32) (87)
24.3% 55 12
17.6% 43 (21)
18.6% 64 (91)
Is Nike a Growth Firm? (Dollar amounts in millions)
2004
2003
Sales Sales growth rate Common equity
12,253 14.6% 4,840
10,697 8.1% 4,028
9,893 4.3% 3,839
9,489 5.5% 3,495
8,995 2.5% 3,136
8,777 −8.1% 3,335
Common equity growth rate ROE Residual earnings Abnormal earnings growth
19.8% 23.0% 479 510
4.0% 10.3% (31) (311)
9.8% 19.1% 280 39
11.4% 18.8% 241 31
-6.0% 17.4% 210 146
2.2% 13.0% 64 36
2002
2001
2000
1999
l
Dr. Lisa Liu [email protected] C1.112
IB9Y9B Financial Reporting and Financial Statement Analysis – Valuation Models
5.2. Valuation Models – Abnormal Operating Profit Valuation Model (AOPVM)
Main Outputs of Earnings-based Valuation Models Main Outputs Investment Profit
AEVM Book value of equity (CSE) Profit for the year (net income)
Accounting rate of return
ROE
Minimum required rate of return
Cost of equity
Excess return (excess of minimum required return)
Abnormal earnings (AE)
The Abnormal Operating Profit Valuation Model (AOPVM) ∞
• AOPVM:
+ = + � 1 + =1
• Define abnormal operating income (also known as residual operating profit; AOP = ReOI) ReOI t ≡ NOPATt − WACC * NOAt −1 Economic value added AOP can also be rewritten in the form of RNOA
ReOI = (RNOAt –WACC)*NOAt-1
The Theoretical Association Between AOPVM And DCF • Free cash flow valuation model:
∞
+ +1 +2 +. . . = � = + 2 (1 + ) (1 + ) (1 + ) =1
• As previously discussed, FCF can be rewritten as follows: + = + − (+ − +−1 )
Deriving the AOPVM • Define abnormal operating income (also known as residual operating profit) at date t+i as follows: AOPt +i ≡ NOPATt +i − WACC * NOA t +i−1
which implies that: NOPATt + i ≡ AOPt +i + WACC * NOA t +i −1 • Replacing FCF with NOPAT less the change in the book value of net operating assets and then replacing NOPAT with abnormal operating profit plus opening book value of net operating assets multiplied by WACC gives the AOPVM: ∞
+ = + � 1 + =1
Basic Calculation NOPAT for 2015 was £990 m. NOA at the beginning of the year was £3000 m and end of the year was £3900 m. Calculate RNOA, AOP and FCF for the year. WACC was 16%.
RNOA = NOPAT/NOAbeg = 990/3000=33% AOPt +i ≡ NOPATt +i − WACC * NOA t +i −1
AOP = 990 – 0.16*3000 = £510m Or, AOP = (0.33-0.16)*3000= £510 m FCFt +i = NOPATt +i − (NOA t +i − NOA t +i −1 )
FCF = 990 – (3900-3000) = £90m
Practice of Value of Operations Using AOPVM and DCF Forecasting assumptions
2018F
2019F
2020F
Sales
60
78
81.9
NOPAT
4.8
7.8
8.19
NOPM (NOPAT/Sales)
0.08
0.1
0.1
2
2
2
ATO (i.e. Sales/NOAbeg)
After 2020, sales revenue is expected to grow at constant rate of 5% per annum forever and ATO is expected to remain at 2. WACC is 16%.
Forecasting assumptions Sales NOPAT NOPM ATO
2018F 60 4.8 0.08
2019F 78 7.8 0.1
2020F 81.9 8.19 0.1
0 0
1.56 1.159
1.638 11.066
ATO = Sales/NOAbeg
NOA (beg) WACC*N AOP
t+ i
≡ NOPAT − (WACC ) NOA t +i −1 t+i
AOP Present value of AOP
∞
At = NOAt + ∑ i =1
E t [ AOPt +i ]
(1+ WACC )i
= 30 + (0 + 1.159 + 11.066) = £42.23 million
Forecasting assumptions Sales NOPAT NOPM ATO = Sales/NOAbeg
ATO
2018F 60 4.8 0.08 2
2019F 78 7.8 0.1 2
2020F 81.9 8.19 0.1 2
9 -4.2 -3.621
1.95 5.85 4.348
2.047 6.143 41.502
NOA (beg) FCF = NOPAT – Change in NOA
Change in NOA FCF PV of FCF
Change in NOA 2020 = NOA 2021-NOA 2020 ∞
At =
Et [FCFt + i ] i i = 1 (1 + WACC )
∑
NOA2021= Sales2021/ATO2021 = (81.9*1.05)/2 = 42.9975
= -3.621 + 4.348 + 41.502 = £42.23 million
Previously: Value Drivers in the AEVM • We can write the AEVM as follows: +1 − +2 − +1 +3 − +2 + ... + + 1+ 3 (1 + ) 1+ 2
= + Abnormal Returns
= +
(+1 − )(+2 − )+1(+3 − )+2 + + +. . . Growth 1+ 2 1+ 1 1+ 3
= +
where
in equity
(+1 −)(+2 −)(1++1 ) (+3 −)(1++1 )(1++2 ) +. . . . . . + + 1+ 3 1+ 2 1+
+ ≡ + /+− is expected
ROE in period t+i and + ≡ (+ /+− − is)expected growth in book value of equity in period t+i.
Drivers of Abnormal Operating Profit ∞
+ = + � 1 + =1
1. RNOA vs. required return, i.e. weighted average cost of capital − − −
If forecasted RNOA = WACC, then AOP = zero, and = NOA If forecasted RNOA > WACC, then > NOA If forecasted RNOA < WACC, then < NOA
2. Growth in book value of NOA −
Put in place to earn core RNOA
So…. The Implication – AOP Drivers AOP will change with change with RNOA and growth in book value of NOA ΔAOP = (NOPAT1 – ρNOA0) – (NOPAT0 – ρNOA-1) = ΔNOPAT – ρΔNOA Where ρ = WACC
The Implication (Cont’d): No AOP Growth Scenario • AOP1 = AOP0, i.e. AOP1 – AOP0 = 0 • NOPAT1 – ρWACC*NOA0 = NOPAT0 – ρWACC*NOA-1 PPE INC. (WACC = 10%; cost of equity = 12%) Year 0 Year -1 NOA 74.4 69.9 NFO 7.7 7.4 CSE 66.7 62.5 Operating income (OI or NOPAT) 9.8 Net income 9.5
The Implication (Cont’d): Zero AOP Growth Scenario 1. AOP0 = 9.8 – 10%*69.9 = 2.81 2. AOP1 = AOP0 = 9.8 – 10%*69.9 = 2.81 3. AOP1 = NOPAT1 – 10%*74.4 = 2.81; 4. NOPAT1 = 2.81 + 10%*74.4 = 10.25 or NOPAT1 = 9.8 – 10%*69.9 + 10%*74.4 = 9.8 + 10% (77.4 – 69.9) →...