CFA L1 Flashcards

1
Q

Add on yield Formula v Discount yield Formula

A

Add on Yield: (P1-P0/P0)-1

Discount Yield: (P1-P0/P1)-1

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2
Q

Cyclical v Defensive Stocks

A

Cyclical: Market goes up, stocks go up - high correlation. Eg: Real Estate

Defensive: Market and stock have comparatively less correlation - stocks not sensitive to market Eg: Pharmaceuticals

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3
Q

Front Running

A

An Asset manager buying stocks personally prior to making investments through his fund - as bigger investments make the price go up, he will benefit personally. This is illegal.

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4
Q

Joint Probability

A

= Intersection value / Grand Total

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5
Q

Conditional Probability (Probability of A | B)

A

= A Intersection B / A Intersection B + A’ Intersection B
= Joint Probability / Total Probability of B

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6
Q

Probability

A

= Favourable outcomes / Total Outcomes
0 <= P(x) <=1
where P = 0 is an impossible event
P = 1 guaranteed event
Sum of all P(x) = 1

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7
Q

Expected Value of x

A

E(x) = P(x)

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8
Q

Expected Return of Portfolio

A

E(Rp) = Sum of wiE(Ri) = w1E(R1) + w2E(R2) + … + wnE(Rn)

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9
Q

Covariance of Expected Returns of two variables

A

Cov(Ri,Rj) = E[(Ri-E(Ri)*(Rj-E(Rj)]
There is no n as sum of P =1
Covar(Ri,Ri) = Var(Ri)

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10
Q

Sample Covariance of Returns

A

Sum of [(R1 - R1bar)*(R2 - R2bar) / n-1

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11
Q

Portfolio Variance ie Var(Rp)

A

Sum of wiwjCov(Ri, Rj)
= W^2Var(Ra) + 2WaWbCov(a,b) + Wb^2*Var(Rb)
- Keeps on adding for every asset added - Number of elements of Cov part = NC2 where N = number of stocks

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12
Q

Roys Safety First Criterion

A

= | Rp - RL | / SDp
- RL is the threshold level
- Higher the ratio, better as lower shortfall risk
- Shortfall % - z value

Rp - RL | / SDp

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13
Q

Sharpe Ratio

A
  • When RL = Rf
    = | Rp - Rf | / SDp
  • represents return over and above risk free rate per unit of risk
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14
Q

Expected Standard Deviation

A

= Root of Sum of P(x-E(x))^2
- Denominator = n = 1 (Sum of all P =1)

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15
Q

Expected Variance

A

Sum of P(x-E(x))^2

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16
Q

Expected Skewness

A

Sum of P(x-E(x))^3 / SD^3

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17
Q

Expected Kurtosis

A

Sum of P(x-E(x))^4 / SD^4

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18
Q

Expected Covariance

A

Sum of P[(x-E(x))*(y-E(y))]

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19
Q

Expected Correlation

A

Sum of P(Cov(x,y)) / E(SDx)*E(SDy)
= Sum of P(Cov(x,y)) / Root of Sum of P(x-E(x))^2 * Root of Sum of P(y-E(y))^2

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20
Q

Growth v Value Stock

A

Growth Stock: Exponential Growth, outperforming economy, doesn’t fluctuate too much w market changes ie is less sensitive to market as future earnings are priced in. P/BV is high
Value Stock: Available for cheap, riskier & sensitive to market, P/BV is low

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21
Q

Liquidity

A

Ability to convert asset into cash at a fair and reasonable price in a short period of time
Illiquidity = Liquidity Risk

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22
Q

Types of Risk

A

Liquidity Risk
Maturity Risk (risk due to change in rates/volatility in longer term)
Default Risk

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23
Q

MV v BV v IV

A

Market Value: Price at which asset is sold/bought in the market, based on demand, future CFs
Book Value: As per books of accounts, based on historical pricing
Intrinsic Value: Based on one’s own opinion on what the price SHOULD be, based on models, forecasts, projections

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24
Q

Principal Agent Conflict

A

Principal - who agent works for
Example of PAC: broker recommending stock to customer based on his commissions instead of for purpose of clients wealth maximization

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25
Compound Interest v Simple Interest
Simple Interest = prt/100 Compound interest = (1+r/100*m)^t*m m= periods of compounding t = number of years
26
Sum of Infinite GP Series
a/(1-r)
27
Quadratic Equation
+/-b + [Root of (b^2 - 4ac)] / 2a
28
HPR
Pn-Po / Po
29
HPR to EAY EAY to HPR
HPR to EAY = (1+HPR)^365/n -1 EAY to HPR = (1+EAY)^n/365 -1
30
BEY
Compounded semi annually = (1+r/2)^2n BEY to EAY = (1+BEY/2)^2
31
BDY
(Pn-Po / Pn) * 360/n = Discount Rate x 360/n
32
MMY
(Pn-Po / Po) * 360/n = HPR x 360/n
33
Quoted Price
100 - BDY
34
Purchase Price
Quoted Price x n/360
35
Nominal Rate
(1+Nominal) = (1+real)x(1+inflation) Approx Nominal = Real + Inflation Other risk premiums Default, Liquidity, Maturity
36
Annuity Due v Ordinary Annuity
Annuity Due - Investment at start of period Ordinary Annuity - Investment at the end PV(Annuity Due) = PV(Ordinary) x (1+r), same for FV
37
Perpetuity
PMT/r
38
Continously Compounded Rate
P*e^r RCC to EAY/Discrete = e^r -1 EAY to Rcc = ln(1+r)
39
Outstanding Principal at any time
PV of remaining EMIs
40
Principal Repaid
Outstanding at yn-1 - Oustanding at yn
41
Interest Repaid
EMI - Principal repaid
42
Growth rate
(FV/PV)^1/n -1
43
Time Weighted Return
= (1+r1)*(1+r2)*....*(1+rn) Like an average, quantum and timing does not matter
44
Money Weighted Return
=IRR Quantum & Timing matters, tips towards higher return
45
NPV
- assumes reinvestment at Re = PV(inflows) - PV(outflows)
46
IRR
- assumes reinvestment at IRR = Rate at which PV(outflows) = PV(inflows)
47
NPV & IRR
- NPV is positive when PV(I) > PV(O), ie IRR > Re - NPV is negative when PV(I) <(O) ie IRR < Re - NPV is 0 when PV(I) = PV(O), ie IRR = Re (indifferent to acceptance of project, depends on management decision taking other factors into consideration) - NPV & IRR will always give same decision but might give different ranks - we generally accept NPV ranks in case of conflict (independent projects)
48
Types of Capital Investment
- Going Concern: necessary for survival of business or to reduce costs - Regulatory/Compliance: necessary by law, enforced by Gov or authorities - usually due to safety or environmental concerns - Expansion: Vertical/Horizontal integration, involves complex and detailed analysis - New Business: Entering into a completely new market, also involves complex and detailed analysis
49
Principals of Capital Allocation
- Based on Cashflows not Accounting Income - Based on After Tax Cashflows - Opportunity Costs to be taken into account - Timing of Cashflows to be taken into account - Financing cost to be taken into account
50
Sunk Costs
- Costs that will be incurred irrespective of whether a project is accepted or not - Sunk costs not to be taken into account while calculating (may be taken after if relevant)
51
Hard Rationing of Capital
1. Calculate Profitability Index 2. Rank by PI 3. Calculate best combination based on capital budget
52
Profitability Index
Pv(Inflows)/PV(outflows)
53
Capital Allocation Pitfalls - Cognitive Biases
- Poor forecasting - Not considering opportunity Costs/Internal Costs - Incorrectly accounting for inflation
54
Capital Allocation Pitfalls - Behavioural Biases
- Pet Project of Management - Inertia of setting Capital Budget (not being updated) - Basing investment decisions on EPS/ROE (as incentives may be tied to it/short term outlook) - Failure to generate alternate investment ideas
55
Real Options
are future actions that a firm can take, given that they invest in a project today
56
Timing Options
allows a co to take delayed a delayed decision as it expects to have more/better information in the future
57
Abandonment Option
If NPV today exceeds NPV of in future - abandonment is better
58
Expansion Options or Growth Options
Will allow company to make further investments based on future performance of project
59
Flexibility Options
Price-setting Flexibility: change prices in future Production Flexibility: change operational factors
60
Return on Invested Capital
= NI + Interest*(1-t) / Avg BV of Capital (E+P+D) = NOPAT / Avg BV of Capital = NOPAT/Sales * Sales/Avg BV of Capital = Operating Margin After Tax * Asset/Capital Turnover
61
Is the Co creating value for Shareholders? (ROIC)
ROIC > Kc, +ve , Yes ROIC < Kc, -ve, No ROIC = Kc, 0, No
62
Process of Capital Allocation
1. Idea generation 2. Analysing Project Proposals (Expected Profitability) 3. Creating firm wide capital budget (prioritise profitability and consider timing of cashflows, available resources and overall strategy) 4. Monitor decisions and conduct post-audit (identify systematic errors, improve performance)
63
Hurdle Rate
Minimum IRR at which a project will be accepted
64
NPV Advantage
Direct measure of profitability
65
IRR Advantage
measures profitability as a %, allows calculation of safety margin
66
IRR Disadvantages
- Assumes reinvestment at IRR instead of Re, more realistic to assume Re - For multiple sign changes, may have multiple IRRs or no IRR - difficult to interpret
67
Range
Highest Value - Lowest Value
68
Variance
Sum of (x-xbar)^2 / n-1 n-1 for sample N for population
69
Standard Deviation
Root of [Sum of (x-xbar)^2 / n-1]
70
Geometric Mean
[(1+r1)*(1+r2)*...*(1+rn)]^1/n] -1
71
Harmonised Mean
= N / Sum of 1/xi - used for calculating average price per share
72
AM v GM v HM
HM < GM < AM
73
Skewness
Sum of (x-xbar)^3 / n* SD^3 - Postively skewed ie right tailed ie outliers lie above the mean - Negatively skewed ie left skewed ie outliers lie below the mean - Sample skewness = 0
74
Kurtosis
Sum of (x-xbar)^4 / n*SD^4 - Sample kurtosis = 3 (mesokurtic) - Fat Tailed ie peaked ie K >3 ie Leptokurtic - Thin tailed ie flat, K<3 ie Platykurtic - Excess Kurtosis = K - 3
75
Covariance
= Sum of (x-xbar)*(y-ybar) / N - only indicates whether a relationship exists and the direction - does not indicate the degree/strength - has units so not universally comparable - +ve = move in same direction - -ve = move in opposite direction - 0 = no clear directional relationship
76
Correlation
= Cov(x,y) / SDx *SDy - -1 <= Correlation <= 1 - suggests the same as covariance - suggests strength of relationship as follows: - -1 = perfect -ve correlation, close to -1 - high -ve correlation - 1 = perfect +ve correlation, close to 1 - high +ve correlation - close to 0 - low +ve/-ve correlation - = 0 ie no linear relationship (may have non-linear one) - CORRELATION DOES NOT IMPLY CAUSATION
77
Trimmed Mean
x% Trimmed mean = deleted top-most and bottom-most x/2% of the observations and then calculate mean
78
Winsorized Mean
x% winsorized mean = replace (1-x)2% top-most and bottom-most observations with the (1-x)/2th top & bottom observations resp. - keeps numer of obs same.
79
Percentile formula
n+1 * y/100 th term where y is number of divisons
80
Financial Statement Analysis Framework
1. State Objective & Context (questions, resources, time) 2. Gather Data (primary, secondary) 3. Process Data (ratios, analysis, graphs) 4. Analyze data (Answer Step 1 Qs) 5. Report the Conclusions & recommendations 6. Update analysis: periodically repeat the above steps
81
Role of FSA
To help make informed business/economic decisons
82
Standard Setting Bodies
Professional Orgs of accountants and auditors that establish the financial reporting standards India - ICAI - Institute of Chartered Accountants of India US - FASB - Financial Accounting Standards Board Outside US - IASB - International Accounting Standards Board
83
Regulatory Bodies
Authorities that enforce the application of the standards India - SEBI USA - SEC UK - FCA
84
IOSCO
- International Organization of Securities Commissions - Regulates 95% of the global financial market through its members - members comprise of various regulatory bodies of the world
85
Objectives of IOSCO
- Protecting Investors - Ensuring markers are fair, efficient and transparent - Reducing systematic risk
86
Sarbanes-Oxley Act 2002
- Enforced by SEC - Prohibits company's external auditors from providing other services to the firm - to avoid a conflict of interest and promote auditor independence - Company's exec management need to certify that accounts are presented fairly, include statement of effectiveness of Co's internal controls of financial reporting - External auditor must also confirm Co's effectiveness of internal controls
87
Footnotes
To include detailed info of Financial Statements and disclosures as follows: - Basis of presentation (GAAP/IFRS) - Accounting Methods, assumptions, estimations - Acquisitions, disposals, legal action, contingencies, commitments, related party transactions etc - audited along with Primary accounts
88
Form S-1
Prior to sale of new securities Includes audited F/s, risk assessment, underwriter identification, estimated amount and use of proceeds
89
Form 10-K
-Required annual filing, similar to annual report but not a substitute - Audited F/s. disclosures, info re biz & management
90
Form 10-Q
- Quarterly Filing - unaudited F/s (updated) & disclosures - Non-US Cos - Form 6K (semi annually)
91
Form DEF 14-K
For proxy statements prior to AM/shareholder vote
92
Form 8-K
To disclose material events
93
Form 144
To issue securities to certain qualified buyers without SEC registration
94
Form 3,4,5
Beneficial ownership by Corporate Insiders
95
Segment Data Reporting
Business Segment: if accounts for more than 10% of Co's revenue/Assets/Income & atleast 75% of external sale Geographic segment: same as above for different geographic locations Must report the following: - Revenue, measure of P&L, measure of Assets & Liabilities, Interest (Revenue & Expense), Depreciation/Amortisation, Non cash exp, Income Tax Exp
96
Management Commentary/Management Report/Management Discussion & Analysis (MDA)
- Address nature of business, mgmt objectives, co's past performance, perf measures used, key relationships, resources and risks - impact of inflation, changing prices, purchase commitments - accounting policies, forward looking expenses, divestures
97
Audit
Independent review of Company's F/s to enable auditor to provide an opinion on fairness and reliability of F/s
98
Standard Auditors Opinon
1. F/s prepared by Management are its responsibility and auditor has performed independent review 2. Generally accepted accounting measures are followed - proved reasonable assurance of no material errors 3. Compliance is present, estimates are reasonable
99
Types of Opinions
Unqualified Opinion: Free from material omissions and errors Qualified Opinion: If any exception to accounting principles is present and explanation of these exceptions Adverse Opinion: Non-conforming, unfairly presented If unable to express opinion, a disclaimer of opinion is issued. Any opinion other than unqualified may be referred as modified opinion
100
Internal Controls
Process by which company ensures accuracy of financial statements
101
Key audit matters
section of audit report containing accounting choices of great significance to users of F/s
102
Sources of Info other than F/s
- Issuer Sources - Public Third Party Sources - Proprietary Third Party Resources - Proprietary Primary Research
103
IASB Framework - Qualitative Characteristics
Relevance & Faithful Representation Characteristics to enhance the above: - Comparability - Verifiability - Timeliness - Understanding
104
Required Reporting Elements
- Assets - Liabilities - Income - Expenses - Equity
105
Assumptions & Constraints of F/s
Assumptions: Going Concern, Accrual accounting Constraints: - Cost-benefit trade off; Benefit should be > cost - Non-quantifiable info can't be captured
106
General Requirements - IFRS - Financial Statements
- Balance Sheets - Profit & Loss and OCI, Statement of comprehensive income - Cash Flow Statement - Statement of change in owners equity - Explanatory Notes, including a summary of A/c policies
107
General Requirements - IFRS - General Features
- Fair representation - Consistency - Materiality - Aggregation - No offsetting - Reporting Frequency (atleast annually) - Comparative Information - Going Concern - Accrual basis
108
General Requirements - IFRS - Structure & Content of F/s
- Classified Balance Sheet - Minimum Information - Comparative Information
109
Market Capitalization
(Market Value or Price per share) x number of shares
110
P/E Ratio
Price to Earnings Ratio = Market price / Earnings per share = MPS/EPS = Market Cap / Total Earnings
111
ROE
Return on Equity = Net Profit / Equity
112
Return on Investment
= HPY
113
Growth Rate
g = b x r b = retention ratio r = ROE
114
Retention Ratio
= 1 - Dividend Payout Ratio = 1 - Dividend Per Share/Earnings per Share
115
EPS
Earnings Per Share = EAFSH or Net Profit / No. of Shares
116
Book Value per Share
= Book Value of Equity / No. of shares
117
Tangible Assets
Definite Life: P&M, Depreciation Applies Indefinite Life: Land, may need to check for impairments
118
Intangible Assets
Definite Life: Licence, Amortisation applies Indefinite Life: Trademark Identifiable: Patent/Brand Unidentifiable: Goodwill
119
Financial Assets
Identifiable Intangible Definite: Bonds Indefinite: Equity
120
Types of Depreciation
Straight Line Method - same amount of depreciation charged every line (% of depn every year keeps increasing) By Capacity: (Origanl - SV) * Units produced/Total Capacity - when a machine has a certain capacity it can produce over its lifetime Accelerated Depreciation: 2 methods: Written Down Value: Constant Percentage of Depreciation (Amount of Depn goes down every year) Double Declining Balance Method: Written down at double the rate = 2 x Book Value / Useful Life Component Depreciation: parts of an asset may depreciate at a different rate and need treating accordingly
121
When do we change accounting policy?
- Due to new law - Due to new accounting standard - To represent true and fair accounts
122
Reflection of change in Depreciation method
Needs to be shown retrospectively
123
Reflection of change in estimate
Needs to be shown prospectively
124
Matching Principle
Costs & sales need to match for the year
125
Revenue Recognition
Accounts receivable: ASSET Unearned Revenue: LIABILITY Prepaid Expenses: ASSET Delayed Expenses: LIABILITY
126
Contract
Agreement between two or more parties specifying their rights and obligations
127
Steps for recognising revenue
- Identify the contract with the customer - Identify distinct performance obligations in the contract - Determine the Transaction price - Allocate the Transaction price to the performance obligation - Recognise revenue when PO is satisfied
128
Performance Obligation
- Promise to deliver goods/services PO is satisfied when: - Customer receives goods/services & its benefits - Supplier enhances an existing asset or creates a new asset that the customer controls over the period in which the asset is created/enhanced - Asset has no alternative use for supplier, and the supplier has the right to enforce payment for work completed to date
129
How is revenue recognised in a long term contract?
- Revenue is recognised based on % completed
130
Revenue Recognition Disclosures
- Contracts with customer by Category - Assets & Liabilities related to contracts including balances and changes - Outstanding POs & TPs allocated to them - Management Judgements used to determine amount & timing of revenue recognition including any changes to those judgements
131
Goods & Services
- The customer can benefit from the good or service on its own or combined with other resources that are readily available. - The promise to transfer the good or service can be identified separately from any other promises.
132
Transaction Price
- The amount a firm expects to receive from a customer in exchange for transferring a good or service to the customer. - A transaction price is usually a fixed amount, but it can also be variable (e.g., if it includes a bonus for early delivery).
133
Capitalization
- Application of the matching principle whereby costs are initially capitalized as assets on the balance sheet and then expensed, using depreciation or amortization, to the income statement over the asset’s life as its beneits are consumed. - If potential future economic benefit - capitalise, otherwise, expense
134
Period Costs
Not all expenses can be directly tied to revenue generation. Period Costs such as administrative costs, are expensed in the period incurred.
135
Amortn v Deprn v Depln
Amortisation: Intangible Assets Depreciation: Tangible Assets Depletion: Natural Resources
136
Capitalised Interest
Interest paid on asset under construction Capitalised until asset is built completely
137
Capitalisation of Research Costs & Development Costs
- Research costs, which are costs aimed at the discovery of new scientific or technical knowledge and understanding, are expensed as incurred. Development costs may be capitalized. Development costs are incurred to translate research findings into a plan or design of a new product or process. To capitalise development costs, a firm must show that it can complete the asset and intends to use or sell the completed asset, among other criteria.
138
US GAAP Treatment of Research & Development Costs
Both research and development costs are generally expensed as incurred. However, the costs of creating software for sale to others are treated in a manner similar to the treatment of research and development costs under IFRS. Costs incurred to develop software for sale to others are expensed as incurred until the product’s technological feasibility has been established, after which the costs of developing a salable product are capitalized.
139
How to make F/s comparable for development costs capitalised in one firm and expensed in the other?
- Convert capitalised one to expensed one by: - Expensing the Development Costs - Removing amortisation of Capitalised Dev costs charged previously - Remove Dev costs from Balance Sheet - Adjust Cash Flow Statements: Remove from CFI, Decrease from CFO
140
Non Recurring Items
- Unusual infrequent items - should consider if should be excluded from forecasting
141
Discontinued Operation
- Decided to dispose of but not done yet or disposed of in the current year after the operation had generated income or losses - Measurement Date: Date when co develops a formal plan for disposing operation Phase out Period: Actual disposal date - Should be excluded from forecasts
142
Discontinued operations - where is it reported on Income Statement
Reported below income from continuing operations, net of tax (reported separately)
143
Unusual or infrequent items - where is it reported on Income Statement
Reported before taxes, above net income from continuing operations (included in)
144
change in accounting principle - where is it reported on Income Statement
requires retrospective application
145
Simple v Complex Capital Structure
Simple capital structure: is one that contains no potentially dilutive securities. A simple capital structure contains only common stock, nonconvertible debt, and nonconvertible preferred stock. Complex capital structure: contains potentially dilutive securities such as employee stock options, warrants, or convertible securities.
146
Basic EPS
= (Net Income - Preferred Dividend) / Weighted Avg number of common shares outstanding
147
Stock dividend
Bonus Shares - distribution of additional shares to each shareholder in an amount proportional to their current number of shares - ownership % remains unchanged - applies to the beginning of the period of calculating weighted average shares
148
Stock Split
- refers to the division of each “old” share into a specific number of “new” (post-split) shares - ownership % remains unchanged
149
Dilutive v Anti-dilutive securities
Dilutive: stock options, warrants, convertible debt, or convertible preferred stock that would decrease EPS if exercised or converted to common stock. Anti-dilutive stock: stock options, warrants, convertible debt, or convertible preferred stock that would increase EPS if exercised or converted to common stock.
150
Diluted EPS
= Adjusted Income available for common shares / Weighted average common and potential common shares outstanding where, Adjusted Income = Net Income - Preferred Dividend + Dividends on convertible preferred stock + After Tax Interest on convertible preferred debt (Interest x 1-t)
151
Comprehensive Income
Profit + Other Comprehensive Income
152
Other Comprehensive Income
= PUFE = Pension Adjustment, unrealised gains/lossed from available for sale securities, foreign currency translation gains/losses, Effective portion of Cash Flow Hedges
153
Reasons for Change in Equity
Owner Related: - New shares issued - Dividend - Buyback Others: - P&L - OCI
154
How to check if convertible stock/debt is dilutive
Convertible debt (1-t) / Convertible debt shares > Basic EPS, then antidilutive Dilutive EPS > Basic EPS, then antidilutive Preferred Dividend / Convertible Preferred stock
155
Common Size Statements
Balance Sheets: Represented as % of Total Assets (Equity + Liability) Cash Flow: represented as % of total inflows/outflows
156
Gross Profit Margin
= Gross Profit / Revenue
156
Net Profit Margin
= Net Profit / Revenue
157
Operating Profit Margin
= Operating Profit / Revenue
158
Pre Tax Margin
= Pre Tax Accounting Profit / Revenue
159
Revise Financial Assets Table
HTM, HTT, AFS - US GAAP, IFRS
160
161