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Monday, December 6, 2010

Chapter 6: Financial Statement Analysis MCQs


Multiple-Choice Quiz

Chapter 6:   Financial Statement Analysis

Just click on the button next to each answer and you'll get immediate feedback.

1. Determine a firm's total asset turnover (TAT) if its net profit margin (NPM) is 5 percent, total assets are $8 million, and ROI is 8 percent.
1.60           Correct! = (ROI) / (NPM) = TAT    (.08) / (.05) = 1.6

2.05

2.50

4.00

Chapter 22: Convertibles, Exchangeables, and Warrants MCQs


Multiple-Choice Quiz

Chapter 22:   Convertibles, Exchangeables, and Warrants

Just click on the button next to each answer and you'll get immediate feedback.

1. A $500 par-value convertible debenture is selling at $520. If the conversion ratio is 20, what is the conversion price?
$19.23

$20.18

$25.00        Correct!

 Conversion ratio = (Face value) / (Conversion price)
 Conversion price = $500 / 20 = $25

$26.00

Chapter 21: Term Loans and Leases MCQs


Multiple-Choice Quiz

Chapter 21:   Term Loans and Leases

Just click on the button next to each answer and you'll get immediate feedback.

1. One difference between a financial lease and operating lease is that:
there is a often a call option in a financial lease.

there is often an option to buy in an operating lease.

an operating lease is often cancellable by the lessee.

a financial lease is often cancellable by the lessee.

Chapter 20: Long-Term Debt, Preferred Stock, and Common Stock MCQs


Multiple-Choice Quiz

Chapter 20:   Long-Term Debt, Preferred Stock, and Common Stock

Just click on the button next to each answer and you'll get immediate feedback.

1. A bond issue may be retired by:
calling the bonds if there is a call feature.

converting the bonds (if convertible) into common stock.

making a single-sum payment at final maturity.

all of the above.

Chapter 19: The Capital Market MCQs


Multiple-Choice Quiz

Chapter 19:   The Capital Market

Just click on the button next to each answer and you'll get immediate feedback.

1. Letter stock is
a handwritten certificate representing a corporate IOU.

a mass mailing offering a security for sale.

securities issued by the United States Postal Service.

privately placed common stock that cannot be immediately resold to the general public.

Chapter 18: Dividend Policy MCQs


Multiple-Choice Quiz

Chapter 18:   Dividend Policy

Just click on the button next to each answer and you'll get immediate feedback.


1. Retained earning are
an indication of a company's liquidity.

the same as cash in the bank.

not important when determining dividends.

the cumulative earnings of the company after dividends.

Chapter 17: Capital Structure Determination MCQs


Multiple-Choice Quiz

Chapter 17:   Capital Structure Determination

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1. The term "capital structure" refers to:
long-term debt, preferred stock, and common stock equity.

current assets and current liabilities.

total assets minus liabilities.

shareholders' equity.

Chapter 16: Operating and Financial Leverage MCQs


Multiple-Choice Quiz

Chapter 16:   Operating and Financial Leverage

Just click on the button next to each answer and you'll get immediate feedback.

1. If I believe in the basic principle of a risk-reward relationship, my conclusion regarding security ratings and yields between an Aaa bond and a Baa bond would be that:
the Aaa bond would have the lower yield.

the Aaa bond would have the higher yield.

the Baa bond would have lower default risk.

default risks would differ but yields would be equal.

Chapter 15: Required Returns and the Cost of Capital MCQs


Multiple-Choice Quiz

Chapter 15:   Required Returns and the Cost of Capital

Just click on the button next to each answer and you'll get immediate feedback.

1. A single, overall cost of capital is often used to evaluate projects because:
it avoids the problem of computing the required rate of return for each investment proposal.

it is the only way to measure a firm's required return.

it acknowledges that most new investment projects have about the same degree of risk.

it acknowledges that most new investment projects offer about the same expected return.

Chapter 14: Risk and Managerial Options in Capital Budgeting MCQs


Multiple-Choice Quiz

Chapter 14:   Risk and Managerial Options in Capital Budgeting

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1. The investment proposal with the greatest relative risk would have
the highest standard deviation of net present value.

the highest coefficient of variation of net present value.

the highest expected value of net present value.

the lowest opportunity loss likelihood.

Chapter 13: Capital Budgeting Techniques MCQs


Multiple-Choice Quiz

Chapter 13:   Capital Budgeting Techniques

Just click on the button next to each answer and you'll get immediate feedback.

1. A profitability index of .85 for a project means that:
the present value of benefits is 85% greater than the project's costs.

the project's NPV is greater than zero.

the project returns 85 cents in present value for each current dollar invested.

the payback period is less than one year.

Chapter 12: Capital Budgeting and Estimating Cash Flows MCQs


Multiple-Choice Quiz

Chapter 12:   Capital Budgeting and Estimating Cash Flows

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1. All of the following influence capital budgeting cash flows EXCEPT:
accelerated depreciation.

salvage value.

tax rate changes.

method of project financing used.

Chapter 11: Short-Term Financing MCQs


Multiple-Choice Quiz

Chapter 11:   Short-Term Financing

Just click on the button next to each answer and you'll get immediate feedback.

1. Under COD terms, the seller:
extends credit to the buyer on open account.

extends credit to the buyer subject to bank approval.

requires the buyer to make partial payment at fixed intervals.

bears the risk of the buyer's refusing the goods shipped.

Chapter 10: Accounts Receivable and Inventory Management MCQs


Multiple-Choice Quiz

Chapter 10:   Accounts Receivable and Inventory Management

Just click on the button next to each answer and you'll get immediate feedback.

1. A firm's inventory turnover (IT) is 5 times on a cost of goods sold (COGS) of $800,000. If the IT is improved to 8 times while the COGS remains the same, a substantial amount of funds is released from or additionally invested in inventory. In fact,
$160,000 is released.

$100,000 is additionally invested.

$60,000 is additionally invested.

$60,000 is released.      Correct!

 IT = 5 = $800,000/ INVENTORY (old)
 Therefore, INVENTORY (old) = $800,000/5 = $160,000

 IT = 8 = $800,000/ INVENTORY (new) 
 Therefore, INVENTORY (new) = $800,000/8 = $100,000 

 $160,000 - $100,000 = $60,000 released (i.e., Source of Funds)

Chapter 9: Cash and Marketable Securities Management MCQs


Multiple-Choice Quiz

Chapter 9:   Cash and Marketable Securities Management

Just click on the button next to each answer and you'll get immediate feedback.

1. Marketable securities are primarily
short-term debt instruments.

short-term equity securities.

long-term debt instruments.

long-term equity securities.

Chapter 8: Overview of Working Capital Management MCQs


Multiple-Choice Quiz

Chapter 8:   Overview of Working Capital Management

Just click on the button next to each answer and you'll get immediate feedback.

1. In finance, "working capital" means the same thing as
total assets.

fixed assets.

current assets.

current assets minus current liabilities.

Chapter 7: Funds Analysis, Cash Flow Analysis, and Financial Planning MCQs


Multiple-Choice Quiz

Chapter 7:   Funds Analysis, Cash Flow Analysis, and Financial Planning

Just click on the button next to each answer and you'll get immediate feedback.

1. According to the accounting profession, which of the following would be considered a cash-flow item from an "investing" activity?
cash inflow from interest income.

cash inflow from dividend income.

cash outflow to acquire fixed assets.

all of the above.

Saturday, December 4, 2010

Chapter 1 Introduction to Management and Organizations

TRUE/FALSE QUESTIONS
A MANAGER’S DILEMMA
1. According to the discussion in a “A Manager’s Dilemma,” Tom Gegax believes that believes that helping
employees balance personal and work lives will lead to increased performance.
(True; moderate; p. 3)

2. As CEO, Tom Gegax’s managerial philosophies are likely to significantly impact whether his company
achieves its goals.
(True; moderate; p. 10)

WHO ARE MANAGERS?

Chapter 5: Risk and Return MCQs solved


Multiple-Choice Quiz

Chapter 5:   Risk and Return

Just click on the button next to each answer and you'll get immediate feedback.

1. This type of risk is avoidable through proper diversification.
portfolio risk

systematic risk

unsystematic risk

total risk

Chapter 4: The Valuation of Long-Term Securities MCQs solved


Multiple-Choice Quiz

Chapter 4:   The Valuation of Long-Term Securities

Just click on the button next to each answer and you'll get immediate feedback.


1. What's the value to you of a $1,000 face-value bond with an 8% coupon rate when your required rate of return is 15 percent?
More than its face value.

Less than its face value.

$1,000.

True.

Chapter 3: The Time Value of Money MCQs solved


 Multiple-Choice Quiz

Chapter 3:   The Time Value of Money

Just click on the button next to each answer and you'll get immediate feedback.

1. You want to buy an ordinary annuity that will pay you $4,000 a year for the next 20 years. You expect annual interest rates will be 8 percent over that time period. The maximum price you would be willing to pay for the annuity is closest to
$32,000.

$39,272.             Correct!

 PVA = $4,000 (PVIFA at 8% for 20 periods)
 PVA = $4,000 (9.818) = $39,272

$40,000.

$80,000.

Chapter 2: The Business, Tax, and Financial Environments MCQs solved


 

Multiple-Choice Quiz

 Chapter 2:   The Business, Tax, and Financial Environments

Just click on the button next to each answer and you'll get immediate feedback.

1. Which of the following enjoys limited liability?
A general partnership.

A corporation.

A sole proprietorship.

None of the above.

Chapter 1: The Role of Financial Management MCQs solved

 

Multiple-Choice Quiz

Chapter 1:   The Role of Financial Management

Just click on the button next to each answer and you'll get immediate feedback.

1. "Shareholder wealth" in a firm is represented by:
the number of people employed in the firm.

the book value of the firm's assets less the book value of its liabilities.

the amount of salary paid to its employees.

the market price per share of the firm's common stock.

Wednesday, December 1, 2010

ECO-401 Chapter 1 MCQs part 3 MANAGEMENT SKILLS

MANAGEMENT SKILLS

74. The three essential managerial skills put forth by Katz include _____________.
a. technical, human, and empirical
b. human, empirical, and conceptual
c. technical, interpersonal, and controlling
d. technical, human, and conceptual
(d; moderate; p. 12)

ECO-401 Chapter 1 MCQs part 2 WHAT IS MANAGEMENT

WHAT IS MANAGEMENT?

43. _____________ is the process of getting activities completed efficiently and effectively with and through other people.
a. Leading
b. Management
c. Supervision
d. Controlling
(b; easy; p. 7)

44. The distinction between a managerial position and a nonmanagerial position is  _______________.
a. planning the work of others
b. coordinating the work of others
c. controlling the work of others
d. organizing the work of others
(b; moderate; p. 7)

Chapter 1 Introduction to Management and Organizations

Chapter 1 Introduction to Management and Organizations
 

TRUE/FALSE QUESTIONS

A MANAGER’S DILEMMA
1. According to the discussion in a “A Manager’s Dilemma,” Tom Gegax believes that believes that helping
employees balance personal and work lives will lead to increased performance.

(True; moderate; p. 3)

Saturday, November 27, 2010

14 Principles of Management - Henri Fayol

MGT-503
14 Principles of Management - Henri Fayol

Fayol was the first to identify the four functions of management: planning, organizing, directing, and controlling, as known today.
His original definition of management comprised of five elements: forecast & plan, organise, command, coordinate, and control.
His 14 principles are:

1-Division of work -
specialisation provides the individual to build up experience, continuous improvement in skills, and thereby be more productive. 

Wednesday, November 24, 2010

Top 10 New Manager Mistakes

Top 10 New Manager Mistakes

By F. John Reh, About.com Guide

Managing can be a little difficult at first. A recent poll found that more than 50% of managers received NO training before starting the job. Here is a list of the most common mistakes new managers make so you can avoid making them too. (If you think I missed one, use the "Readers Respond" link at the bottom to add a new one.)

1. Think you know everything.
If you were just promoted to Production Manager, you may feel you know everything about production. Even if that were true, and it isn't, you sure don't know everything about the most important part of your new job, managing people. Listen to the people around you. Ask for their input when appropriate. Keep an open mind.

Manager Mistakes MGT-503

MGT-503
Manager's Mistakes


1. Putting policies ahead of people.
The smaller the organization, the larger the mistake this is. Policies are made to be followed, within reason. Some flexibility with employees, particularly in a small company, is important. An even bigger mistake is standing behind policies at the expense of losing loyal customers. Weigh the significance of standing behind your policy in each situation. If it is a matter of physical safety or security, policies must be upheld. However, in many other instances, there are reasonable solutions that will not alienate the customer or create a strained relationship with your employee(s).

Thursday, November 11, 2010

Online 45 MCQz of MGT -402

 Online 45 MCQz of MGT -402
Question # 1
Which of the following is considered as basic systems of remunerating labor?
  i)  Time rate system
ii)   Piece rate system
iii)  Halsey Premium plan
iv)  Both time rate and piece rate system

Question # 2
A method by which the first goods to be received are said to be the first to by sold


i)LIFO
ii)AVCO
iii)FIFO
iv)WASH

Tuesday, November 9, 2010

What is Accounting


[What is Accounting]




What is the relationship between cost accounting financial accounting and managerial accounting?
Financial accounting relates to the information presented based on past events and records.
Cost and managerial accounting is the presentation of financial information to the management to be used in decision making while in managerial accounting projections are made based on past trends.
Financial accounting relates to the information presented based on past events and records.
Cost and managerial accounting is the presentation of financial information to the management to be used in decision making while in managerial accounting projections are made based on past trends.

MGT201(Financial Management) All formulas



PV IF = 1 - (1+i)^-n = (1-(1+i)^-n)/i (to use in Excel worksheet)
i
FV IF = (1+i)^n - 1 = (1+i)^(n) -1 )/i
i

FV = PV*(1+i)^n
PV = FV/(1+i)^n
i = (Future Payment/Present Value)^1/n - 1

1. Fundamental Accounting Equation and Double Entry Principle.
• Assets +Expense = Liabilities + Shareholders’ Equity + Revenue
Liabilities = Equity = Net Worth
Revenue – Expense = Income

  1. Statement of Retained Earnings or Shareholders’ Equity Statement
Total Equity = Common Par Stock Issued + Paid In Capital + Retained Earnings
  1. Current Ratio:
= Current Assets / Current Liabilities
  1. Quick/Acid Test ratio:
= (Current Assets – Inventory) / Current Liabilities
  1. Average Collection Period:
= Average Accounts Receivable /(Annual Sales/360)

  1. PROFITABILITY RATIOS:
Profit Margin (on sales):
= [Net Income / Sales] X 100
Return on Assets:
= [Net Income / Total Assets] X 100
Return on equity:
= [Net Income/Common Equity]
6. ASSET MANAGEMENT RATIOS
Inventory Turnover:
= Sales / inventories
Total Assets Turnover:
= Sales / Total Assets
  1. DEBT (OR CAPITAL STRUCTURE) RATIOS:
Debt-Assets:
= Total Debt / Total Assets
Debt-Equity:
= Total Debt / Total Equity
Times-Interest-Earned:
= EBIT / Interest Charges
  1. Market Value Ratios:
Price Earning Ratio:
= Market Price per share / *Earnings per share
Market /Book Ratio:
= Market Price per share / Book Value per share
*Earning Per Share (EPS):
= Net Income / Average Number of Common Shares Outstanding
  1. M.V.A (Market Value Added):
MVA (Rupees) = Market Value of Equity – Book Value of Equity Capital
  1. E.V.A (Economic Value Added):
EVA (Rupees) = EBIT (or Operating Profit) – Cost of Total Capital
  1. Interest Theory:
Economic Theory:
i = iRF + g + DR + MR + LP + SR
– i is the nominal interest rate generally quoted in papers. The “real” interest rate = i – g
Here i = market interest rate
g = rate of inflation
DR = Default risk premium
MR = Maturity risk premium
LP = Liquidity preference
SR = Sovereign Risk
The explanation of these determinants of interest rates is given as under:
  1. Market Segmentation:
  • Simple Interest (or Straight Line):
F V = PV + (PV x i x n)
  • Discrete Compound Interest:
Annual (yearly) compounding:
F V = PV x (1 + i) n
Monthly compounding:
F V = PV x (1 + (i / m) m x n
  • Continuous (or Exponential) Compound Interest:
  • F V (Continuous compounding) = PV x e i x n
  1. Estimated current assets for the next year
= [Current assets for the current year/Current sales] x Estimated sales for the next year
  1. Expected Estimated retained earnings
= estimated sales x profit margin x plowback ratio
  1. Estimated discretionary financing
= estimated total assets – estimated total liabilities –estimated total equity
  1. G (Desired Growth Rate)
= return on equity x (1- pay out ratio)
  1. CASH FLOW STATEMENT
Net Income
Add Depreciation Expense
Subtract Increase in Current Assets:
Increase in Cash
Increase in Inventory
Add Increase in Current Liabilities:
Increase in A/c Payable
Cash Flow from Operations
Cash Flow from Investments
Cash Flow from Financing
Net Cash Flow from All Activities
  1. Interest Rates for Discounting Calculations
• Nominal (or APR) Interest Rate = i nom
• Periodic Interest Rate = i per
It is defined as
iper = ( i nominal Interest rate) / m
Where
m = no. of times compounding takes place in 1 year i.e.
If semi-annual compounding then m = 2
• Effective Interest Rate = i eff
i eff = [1 + ( i nom / m )]m – 1
  1. Calculating the NPV of the Café Business for 1st Year:
NPV = Net Present Value (taking Investment outflows into account)
NPV = −Initial Investment + Sum of Net Cash Flows from Each Future Year.
NPV = − Io +PV (CF1) + PV (CF2) + PV (CF3) + PV (CF4) + ...+ ∞
  1. Annual Compounding (at end of every year):
FV = CCF (1 + i) n – 1
Annual Compounding (at end of every year)
PV =FV / (1 + i ) n . n = life of Annuity in number of years
  1. Multiple Compounding:
Future Value of annuity =CCF (constant cash flow)*(1+ (i/m) m*n-1/i/n
Multiple Compounding:
PV =FV / [1 + (i/m)] mxn
  1. Future value of perpetuity:
=constant cash flow/interest rate
  1. Future value by using annuity formula
FV =CCF [(1+i) n - 1]/ i
  1. Return on Investments:
ROI= (ΣCF/n)/ IO
  1. Net Present Value (NPV):
NPV= -IO+ΣCFt/ (1+i) t
Detail
NPV = -Io + CFt / (1+i)t = -Io + CF1/(1+i) + CF2/(1+i) ^2 + CF` /(1+i)^3 +..
-IO= Initial cash outflow
i=discount /interest rate
t=year in which the cash flow takes place
  1. Probability Index:
PI = [Σ CFt / (1+ i) t ]/ IO
  1. Internal Rate Of Return(IRR) Equation:
NPV= -IO +CF1/ (1+IRR) + CF2/ (1+IRR) ^2......
  1. Internal Rate of Return or IRR:
The formula is similar to NPV
NPV = 0 = -Io + CFt / (1+IRR)t = -Io + CF1/(1+IRR) + CF2/(1+IRR) ^2 + ..
  1. Modified IRR (MIRR):
(1+MIRR) n = Future Value of All Cash Inflows….
Present Value of All Cash Outflows
(1+MIRR) n = CF in * (1+k) n-t
CF out / (1+k) t
  1. Equivalent Annual Annuity Approach:
EAA FACTOR = (1+ i)^ n / [(1+i)^ n -1]
Where n = life of project & i=discount rate
BONDS’ VALUATION
The relationship between present value and net present value
  1. NPV = -Io + PV
  1. Present Value formula for the bond:
n
PV= Σ CFt / (1+rD)t =CF1/(1+rD)+CFn/(1+rD)2 +..+CFn/ (1+rD) n +PAR/ (1+rD) ^n
t =1
In this formula
PV = Intrinsic Value of Bond or Fair Price (in rupees) paid to invest in the bond. It is the Expected or Theoretical Price and NOT the actual Market Price.
rD = it is very important term which you should understand it care fully. It is Bondholder’s (or
Investor’s) Required Rate of Return for investing in Bond (Debt).As conservative you can choose
minimum interest rate. It is derived from Macroeconomic or Market Interest Rate. Different from the Coupon Rate!
Recall Macroeconomic or Market Interest Theory: i = iRF + g + DR + MR + LP + SR
CF = cash flow = Coupon Receipt Value (in Rupees) = Coupon Interest Rate x Par Value. Represents cash receipts (or in-flow) for Bondholder (Investor). Often times an ANNUITY pattern Coupon Rate derived from Macroeconomic or Market Interest Rate. The Future Cash Flows from a bond are simply the regular Coupon Receipt cash in-flows over the life of the Bond. But, at Maturity Date there are 2 Cash In-flows: (1) the Coupon Receipt and (2) the Recovered Par or Face Value (or Principal)
n = Maturity or Life of Bond (in years)
In the next lectures, you would study that how the required rate of return is related to market rate of return
  1. Calculate the PV of Coupons from the FV Formula for Annuities (with multiple compounding within 1 year):
FV = CCF (1 + rD/m )nxm - 1/rD/m
Use Monthly Basis for this example. n = 1 year m = 12 months
CCF = Constant Cash Flow = Rs 1,000 = Monthly Coupon
rD = Annual Nominal Required Rate of Return for investment in Bond (Debt) = 10% pa.
Periodic Monthly Required Rate of Return is rD/m = 10/12 = 0.833 % = 0.00833 p.m.
m = 12 months
  1. YTM =Total or Overall Yield:
= Interest Yield + Capital Gains Yield
  1. Interest Yield or Current Yield:
= Coupon / Market Price
  1. Capital Gains Yield:
= YTM - Interest Yield
  1. FV=CCF[(1+rD/m)n*m-1]/rD/m
N=1 year ,m= no. of intervals in a year =12
CCF=constant cash flow
n = Maturity or Life of Bond (in years)
  1. Call:
=par value +I, year copoun receipts
Another thing to keep in mind is that YTM has two components first is
  1. YTM:
=interest yield on bond +capital gain yield on bond
1. INTEREST YIELD =annual copoun interest /market price
2. CAPITAL YIELD =YTM –INTEREST YIELD
  1. Perpetual Investment in Preferred Stock
– PV = DIV 1 / r PE
  1. Perpetual Investment in Common Stock:
PV = DIV1/(1+rCE) +DIV2/(1+rCE)2 +…..+ DIVn/(1+rCE)n + Pn/(1+rCE)n
PV = Po* = Expected or Fair Price = Present Value of Share, DIV1= Forecasted Future Dividend at end of Year 1, DIV 2 = Expected Future Dividend at end of Year 2, …, Pn = Expected Future Selling Price, rCE = Minimum Required Rate of Return for Investment in the Common Stock for you (the investor). Note that Dividends are uncertain and n = infinity
  1. PV (Share Price) = Dividend Value + Capital Gain.
Dividend Value is derived from Dividend Cash Stream and Capital Gain / Loss from Difference
between Buying & Selling Price.
  1. Simplified Formula (Pn term removed from the equation for large investment durations i.e. n =
infinity):
PV = DIV1/ (1+rE) + DIV2/ (1+rE) 2 + … DIVn/(1+rE)n
= DIVt / (1+ rE) t. t = year. Sum from t =1 to n
  1. Fair Value. Dynamic Equilibrium.
If Market Price > Fair Value then Stock is Over Valued
Share Price Valuation -Perpetual Investment in Common Stock:
  1. Zero Growth Dividends Model:
DIV1 = DIV 2 = DIV3
  1. The Formula for common stock
PV = Po*= DIV1 / (1+ rCE) + DIV1 / (1+ rCE) 2 + DIV1 / (1+ rCE) 3 + ... +...
= DIV 1 / rCE
  1. Dividends Cash Flow Stream grows according to the Discrete Compound Growth Formula
DIVt+1 = DIVt x (1 + g) t.
t = time in years.
  1. Zero Growth Model Pricing
PV = Po* = DIV1 / rCE
  1. Constant Growth Model Pricing
PV = Po* = DIV1 / (rCE -g)
  1. Dividends Pricing Models:
Zero Growth: Po*=DIV1 / rCE (Po* is being estimated)
  1. rCE*= DIV1 / Po (rCE* is being estimated)
Similarly,
  1. Constant Growth: Po*= DI V1/ (rCE -g)
rCE*= ( DIV 1 / Po) + g
use this formula to calculate the required rate of return.
  1. Gordon’s Formula:
rCE*= (DIV 1 / Po) + g
In this the first part
(DIV 1 / Po) is the dividend yield
g is the Capital gain yield.
  1. Earning per Share (EPS) Approach:
PV = Po* = EPS 1 / rCE + PVGO
Po = Estimated Present Fair Price,
EPS 1 = Forecasted Earnings per Share in the next year (i.e. Year 1),
rCE = Required Rate of Return on Investment in Common Stock Equity.
PVGO = Present Value of Growth Opportunities. It means the Present Value of Potential
Growth in Business from Reinvestments in New Positive NPV Projects and Investments PVGO is perpetuity formula.
The formula is
PVGO = NPV 1 / (rCE - g) = [-Io + (C/rCE)] / (rCE -g)
In this PVGO Model: Constant Growth “g”. It is the growth in NPV of new Reinvestment Projects (or Investment).g= plowback x ROE
Perpetual Net Cash Flows (C) from each Project (or reinvestment).
Io = Value of Reinvestment (Not paid to share holders)
= Pb x EPS
Where Pb= Plough back = 1 – Payout ratio
Payout ration = (DIV/EPS) and
  1. EPS Earnings per Share= (NI - DIV) / # Shares of Common Stock Outstanding
Where NI = Net Income from P/L Statement and DIV = Dividend, RE1= REo+ NI1+ DIV1
ROE = Net income /# Shares of Common Stock Outstanding.
  1. NPV 1 = [-Io + (C/rCE)] / (rCE -g)
If we compare it with the traditional NPV formula
-Io = Value of initial investment
(C/rCE) = present value formula for perpetuities where you assume that you are generating the net cash
inflow of C every year.
C = Forecasted Net Cash Inflow from Reinvestment = Io x ROE
Where ROE = Return on Equity = NI / Book Equity of Common Stock Outstanding
  1. Range of Possible Outcomes, Expected Return:
Overall Return on Stock = Dividend Yield + Capital Gains Yield (Gordon’s Formula)
  1. Expected ROR = <> = pi ri
Where pi represents the Probability of Outcome “i” taking place and ri represents the Rate of Return (ROR) if Outcome “i” takes place. The Probability gives weight age to the return. The Expected or Most Likely ROR is the SUM of the weighted returns for ALL possible Outcomes.
  1. Stand Alone Risk of Single Stock Investment:
Risk = Std Dev = ( r i - <> )2 p i . = Summed over each possible outcome “ i ” with return “r i ” and probability of occurrence “p i .” <> is the Expected (or weighted average) Return
  1. Possible Outcomes Example Continued:
Measuring Stand Alone Risk for Single Stock Investment
Std Dev = δ = √ Σ (r i - <>) 2 p i.
  1. Coefficient of Variation (CV):
= Standard Deviation / Expected Return.
CV = σ/ <>.
<> = Exp or Weighted Avg ROR = pi ri
  1. Risk Basics
Risk = Std Dev = σ = √ ( r i - <> )2 p i . = “Sigma”
  1. Types of Risks for a Stock:
Types of Stock-related Risks which cause Uncertainty in future possible Returns & Cash Flows:
Total Stock Risk = Diversifiable Risk + Market Risk
  1. Portfolio Rate of Return
Portfolio Expected ROR Formula:
rP * = r1 x1 + r2 x2 + r3 x3 + … + rn xn .
  1. Stock (Investment) Portfolio Risk Formula:
p = √ XA2 σ A 2 +XB2 σ B 2 + 2 (XA XB σ A σ B AB)
  1. Efficient Portfolios:
rP * = xA rA + xB rB + xC rC