Title: Financial Resources Management
1Financial Resources Management
2Finance and Business
3What is Finance?
- Art and science to manage money
- All individuals and organisations can
- Earn money
- Raise money
- Spend money
- Invest money
4What is Finance?
- Finance is concerned with the process of
- Institutions
- Markets
- Instruments
- involved in transfer of money among
- Individuals
- Businesses
- Governments
5Areas and Opportunities
- Financial services
- Design and delivery of advice and financial
products to - Individuals
- Businesses
- Governments
- It covers various areas
- Banking related institutions
- Insurance
- Financial planning
- Etc.
6Areas and Opportunities
- Managerial Finance
- Concerned with duties of the Financial Managers
that actively manage the financial affairs of any
type of businesses - Financial and non-financial
- Private and public
- Large and small
- Profit-seeking and not-for-profit
- Today Finance Manager is actively involved in
developing and implementing corporate strategies
aimed at growing the firm and improving its
competitive position
7Legal Forms of Business Organisations
- Sole proprietorship
- Business owned by one person who operates for his
or her own profit - Typical small business
- Most are found in wholesale, retail, service and
construction industries - Capital raised from personal resources or by
borrowing - Responsible of all business decisions
- Unlimited responsibility
8Legal Forms of Business Organisations
- Partnerships
- 2 or more owners doing business together for
profit - Larger than sole proprietorship
- Typical business
- Finance
- Insurance
- Real estate
- Public accounting
- Stock brokerage firms
- Articles of partnership written contract
- Generally unlimited liability all partners are
liable for all of the debts of the partnership
9Legal Forms of Business Organisations
- Corporations
- Legal entity
- Dominant form of business organisation
- All type of business
- Owners are the stockholders
- Receive dividends
- Elect the members of the board Board of
Directors - BOD hires a CEO (Chief Executive officer)
10Legal Forms of Business Organisations
- Chief Executive Officer
- Responsible for
- Managing day-to-day operations
- Carrying out the policies established by the BOD
- Report periodically to the Board
- Other Limited Liability Organisations
- Limited partnerships
- Limited Liability Corporations
- Limited Liability Partnerships
11Managerial Finance Function
- Exchange of information between finance and
non-finance departments is crucial in any kind of
business - Useful forecasts
- Decisions
- Organisation
- Chief Financial Manager (CFO)
- Firms Responsible for firms financial activities
12Managerial Finance Function
- Organisation
- CFO (contd)
- Financial planning
- Fund raising
- Capital expenditure decisions
- Manage cash, credit, pension fund, foreign
exchange - Linked directly to the CEO
- Reporting to the CFO
- Treasurer
- Controller
- Foreign Exchange Manager
13Managerial Finance Function
- Organisation
- Treasurer
- Handling financial activities
- Controller
- Also name Chief Accountant
- Handling financial accounting activities
- Corporate accounting
- Tax management
- Financial accounting
- Cost accounting
- Foreign Exchange Manager
14Managerial Finance Function
- Relationship to Economics
- Primary economic principle
- Marginal Cost-benefit Analysis
- Financial decisions only made and actions taken
only when the added benefits exceed the added
costs. - Create an example
15Managerial Finance Function
- Relationship to accounting
- Overlaps in activities between managerial finance
and accounting - But two basic differences
- One is to the emphasis on cash flows
- One on decision making
16Managerial Finance Function
- Emphasis on Cash Flows
- Accountants primary focus is to develop and
report data from - Measuring the performance of the firm
- Assess its financial position
- Comply with and file reports required by
securities regulators - File and pay taxes
- Accountant prepares financial statements that
recognise - Revenue at the time of sale (paid or not)
- Expenses when they are incurred.
- accrual basis
17Managerial Finance Function
- Emphasis on Cash Flows
- Financial manager primary emphasis on cash flows
(intake and outgo of cash). - Maintains the firms solvency by planning the
cash flows necessary to satisfy its obligations
and to acquire assets needed o achieve the firms
goal - Uses this cash basis to recognise the revenues ad
expenses only with respect to actual inflows and
outflows of cash. - Whatever profit or loss, a firm must have a
sufficient flow of cash to meet its obligations
as they come due.
18Managerial Finance Function
- Decision Making
- Accountant devotes most of his attention to the
collection and presentation of financial data - Financial Manager
- Evaluate the accounting statement
- Develop additional data
- Make decisions on the basis of their assessment
of the associated returns and risks - It does not mean that accountants never make
decisions or that financial managers never gather
data
19Managerial Finance Function
- Summary
- Primary emphasis of accounting is on accrual
methods - Primary emphasis of financial management is on
cash flow methods - Technically, Financial Managers make
recommendations with regard to decision that are
ultimately made by the CEO and/or the BOD
20Goal of the Firm
- Maximise profit
- Commonly, corporations measure profits in terms
of earnings per share (EPS), which represent the
amount earned during a period on behalf of each
outstanding share of common stock - periods total earnings available
- EPS
- number of outstanding common stocks
- As the firm can earn a return on funds it
receives, the receipt of funds sooner rather than
later is preferred
21Goal of the Firm
- Maximise profit (contd)
- Profits do not necessarily result in cash flows
available to the stockholders - Cash flows are in the form of either
- Cash dividends paid
- Proceeds from selling the shares for a higher
price than initially paid - Greater EPS do not necessarily mean that the BOD
will vote to increase the dividend payments - Profit maximisation also disregards risk return
and risk are the key determinants of share price,
which represents the wealth of the owner in the
firm
22Goal of the Firm
- Maximise Shareholder Wealth
- The goal of the firm is to maximise the wealth of
the owners for whom it is being operated. - Financial Managers should only accept only those
actions that are expected to increase share price - Return (cash flows) and Risk are the key decision
variables in maximising owner health - Stockholders groups such as employees,
customers, suppliers, creditors, owners and
others who have a direct economic link to the
firm
23Goal of the Firm
- Corporate Governance
- System used to direct and control a corporation
- Defines
- The rights and responsibilities of key corporate
participants - Decision-making procedures
- Way in which the firm will set, achieve, and
monitor its objectives - Potential Investors
- Individual and institutional investors
24Goal of the Firm
- Ethics
- Standards of conduct or moral judgment
- An effective ethics program is believed to
enhance corporate value - Can produce a number of positive benefits
- Can reduce potential litigation and judgment
costs - Maintain a corporate image
- Build shareholder confidence
- Gain loyalty, commitment and respect of the
firms stockholders. - Ethical behaviour is therefore viewed as
necessary for achieving the firms goal of owner
wealth accumulation
25The Financial Markets
26Deficit vs. Surplus Entities
- Deficit entity A person or entity that spends
more than it currently earns and therefore must
borrow money - Surplus entity - A person or entity that spends
less than it currently earns and therefore can
save and invest money
27Financial Markets
- Financial markets enable the two entities to
achieve their objectives - Deficit entities (e.g., issuers) - To raise money
in the least expensive and most efficient way - Surplus entities (e.g., investors) To meet
their investment objectives as effectively as
possible
28Financial Markets
Deficit Entities (e.g., World Bank)
Surplus Entities (e.g., retail investors)
Deficit entities issue securities to raise money
Surplus entities buy securities as investments
29Characteristics of Financial Markets
- The characteristics of financial markets are
determined by the choices made by the deficit
entities and surplus entities in terms of timing
and risk - Short term (money markets), i.e., less than one
year - Longer term (capital markets), i.e., more than
one year - High risk, e.g., equities, derivatives
- Low risk, e.g., cash, bonds
30Distinguishing Financial Markets
- Ways of distinguishing between different
financial markets - Instrument types (e.g., bond market, equities
market, money market) - Relative geography (e.g., domestic, cross-border)
- Regulatory environment (e.g., an exchange, an
over-the-counter market) - Activities (e.g., primary market, secondary
market)
31Markets by Instrument Type
- Convenient, not necessarily precise - Market
players use the market(s) in which they are
active as a point of reference - Type of instrument traded in a market determines
the characteristics of the market, e.g., - Equity (stock) prices are volatile and therefore
require a high level of automation - Bond prices are less volatile, so bond markets
are not as automated
32International Market
Total Market Size, 31.12.03 7,377 bn USD
Source ISMA
33Timing Risk
- Due to the wide variety of objectives and needs
of investors and issuers, the number of different
types of financial instruments is practically
unlimited - Principal criteria determining the
characteristics of an instrument - Level of risk tolerated
- Yield expectations
- Timeframe of an investment
- Liquidity
- Market practice
34Players in the Market
Issuers issue financial instruments to raise money
Issuers
Financial intermediaries provide services that
enable the market to function
Financial Intermediaries
Regulators
Regulator supervises the market and
the corresponding processes
Investors buy and sell financial instruments to
increase their wealth
Investors
35Market Players
- Wide variety of players with numerous variations
- Issuers
- Corporate
- Public
- Investors
- Private
- Institutional
- Regulators
- Financial Intermediaries
- Public Financial Intermediaries
- Private Financial Intermediaries
36Financial Statements and Analysis
37Four Key Financial Statements
- Income Statement
- Balance Sheet
- Statement of stockholders' equity
- Statement of Cash Flows
38Four Key Financial Statements
- Income Statement
- Provides a financial summary of the firms
operating results during a specified period - Most common income statements covering a 1-year
period ending at a specified date - Monthly income statement are prepared for the
management - Quarterly statements must be made available o the
stockholders of publicly owned corporations
39Four Key Financial Statements
- Income Statement (contd)
- It describes
- Sales revenue
- Costs of goods sold
- Gross profit
- Operating expenses
- Operating profits
- Earnings before interest and taxes
- Net profits before taxes
- Net profits after taxes
- Earnings available for common stockholders
- Earnings per share (EPS)
- Dividend per share (DPS)
40Four Key Financial Statements
- Balance Sheet
- Summary statement of the firms financial
position at a given point in time - Balances the firms assets against its financing,
either debt or equity - Distinction between short-term and long-term
assets and liabilities - Short-term assets or current assets are expected
to be converted into cash within one year - Short-term liabilities or current liabilities are
expected to be paid within one year or less - All other assets and liabilities, along with
stockholders equity (assumed to have an infinite
life), are considered long term
41Four Key Financial Statements
- Balance Sheet (contd)
- Long-term debts debts for which payment is not
due in the current year - Paid-in capital in excess of par the amount of
proceeds in excess of the par value received from
the original sale of common stock - Retained earnings cumulative total of all
earnings, net of dividends, that have been
retained and reinvested in the firm since its
inception
42Four Key Financial Statements
- Statement of Retained Earnings reconciles the
net income earned during a given year, and any
cash dividends paid, with the change in retained
earnings between the start and the end of that
year. Abbreviated form of the Statement of
Stockholders Equity - Statement of stockholders equity shows all
equity account transactions that occurred during
a given year
43Four Key Financial Statements
- Statement of Cash Flows provides a summary of
the firms - Operating
- Investment
- Financing
- Cash flows and reconciles them with changes in
its cash and marketable securities during the
period -
44Notes to the Financial Statements
- Footnotes detailing information on
- Accounting policies
- Procedures
- Calculations
- Transactions underlying entries in the financial
statements
45Financial Ratios
- The Ratio Analysis involves methods of
calculating and interpreting financial ratios to
analyse and monitor the firms performance - The management should be the most interested
party of all. Managers not only have to worry
about the financial situation of the firm, but
they are also critically interested in what the
other parties think about the firm
46Financial Ratios
- Types of Ratio Comparisons
- Ratio analysis is not the calculation of a given
ratio, but the interpretation of the ratio value - Cross sectional analysis
- Comparison of different firms financial ratios
at the same point in time - Involves comparing the firms ratios to those of
other firms in its industry or to industry average
47Financial Ratios
- Types of Ratio Comparisons (contd)
- Benchmarking is a type of cross-sectional
analysis in which the firms ratio values are
compared to those of a key competitor or group of
competitors that it wishes to emulate - Time series analysis Evaluation of the firms
financial performance over time using financial
ratio analysis - Comparison of current and past performance
enables analysts to assess the firms progress - Any significant year-to-year changes may be
symptomatic of a major problem
48Financial Ratios
- Types of Ratio Comparisons (contd)
- Combined analysis combines cross-sectional and
time-series analysis. - Combined view makes it possible to assess
- The trend in the behaviour of the ratio
- And the trend for the industry
- Any significant year-to-year changes may be
symptomatic of a major problem
49Financial Ratios
- Cautions
- Large deviations can indicate symptoms of a
problem, but additional analysis the causes - A single ratio doesnt generally provide
sufficient information to judge the overall
performance of the firm. Set of ratio has to be
used - We must take care of the seasonality
- Use audited financial statements
- Same accounting treatments
- Take into account inflation
50Financial Ratios
- Types of financial ratios 5 basic categories
- Liquidity
- Activity
- Debt
- Profitability
- Market ratios
Primarily measure risks
Primarily measure return
Primarily measure both risks and return
51Financial Ratios Liquidity Ratios
- Liquidity Ratios
- A firms ability to satisfy its short-term
obligations as they come due - Current Ratio
- One of the most cited financial ratios
- A measure of liquidity calculated by dividing the
firms current assets by its current liabilities - Current assets
- Current liabilities
52Financial Ratios Liquidity Ratios
- Quick (Acid-test) Ratio
- A measure of liquidity calculated by dividing the
firms current assets minus inventory by its
current liabilities - Generally the low liquidity of an inventory
results from - Many types of inventory cannot be easily sold
because they are partially completed items,
special purpose items - Inventory is typically sold on credit meaning it
becomes an account receivable before being
converted into cash
53Financial Ratios Activity Ratios
- Activity ratios
- Measure the speed with which various accounts are
converted into sales or cash-inflows or outflows - Inventory Turnover
- Measures the activity, or liquidity, of a firms
inventory - Costs of goods sold
- Inventory
54Financial Ratios Activity Ratios
- Inventory Turnover (contd)
- Average age of inventory is the average number of
days sales in inventory - Average Collection Period
- Average amount of time needed to collect accounts
receivable - Accounts receivable
- Average sales per day
- or
- Accounts receivable
- Annual sales / 365
55Financial Ratios Activity Ratios
- Average Payment Period
- Average amounts of time needed to pay accounts
payable - Accounts payable
- Average purchases per day
- or
- Accounts payable
- Annual purchases / 365
- Difficult to find annual purchases, value not
available in published annual statement - Ordinarily estimated as a percentage of cost of
goods sold
56Financial Ratios Activity Ratios
- Total Asset Turnover
- Indicates the efficiency with which the firm uses
its assets to generate sales - Sales
- Total assets
- The higher the cost of the new assets, the larger
the denominator and thus the smaller the ratio.
Therefore, due to inflation and use of historical
costs, firms with newer assets will tend to have
lower turnover than those with older assets
57Financial Ratios Debt Ratios
- Debt Ratios
- The Debt position of a firm indicates the amount
of others people money being used to generate
profit - The more debt a firm uses in relation to its
total assets, the greater its financial Leverage - Financial Leverage is the magnification of risk
and return introduced through the use of
fixed-cost financing such as debt and preferred
stock - The more fixed-cost debt a firm uses, the greater
will be its expected risk and return
58Financial Ratios Debt Ratios
- Debt Ratio
- Measures the proportion of total assets financed
by the firms creditors - Total Liabilities
- Total Assets
- The higher the ratio, the greater the amount of
others people money being used to generate
profit - The higher the ratio, the greater the firms
degree of indebtedness and the more financial
leverage it has
59Financial Ratios Debt Ratios
- Time Interest Earned Ratio
- Measures the firms ability to make contractual
interest payments sometimes called the interest
coverage ratio - The higher the ratio, the better able the firm to
fulfil its interest obligations - Earnings before interest and taxes
- Interest
- The figure for earnings before interest and taxes
is the same as that for operating profits in the
income statement
60Financial Ratios Debt Ratios
- Fixed-Payment Coverage Ratio
- Measures the firms ability to meet all
fixed-payment obligations such as - Loan interest and principal
- Lease payments
- Preferred stocks dividends
- Where T is the corporate tax applicable to the
firms income - 1/(1-T) is included to adjust the after-tax
principal and preferred stock dividend payment
back to the before-tax equivalent that is
consistent with the before tax values of all
other terms
Earnings before interest and taxes lease
payments Interest Lease payments (Principal
payments Preferred stock dividends) x
1/(1-T)
61Financial Ratios Profitability Ratios
- To evaluate the firms profit with respect to
- Given level of sales
- Certain level of assets
- The owners investment
- Owners, creditors and management pay close
attention to boosting profits because of the
great importance place on earnings in the
marketplace
62Financial Ratios Profitability Ratios
- Use of Common-Size Income Statement
- An income statement in which each item is
expressed as a percentage of sales - Specially useful in comparing performances across
the years - Frequently cited Profitability Ratios
- Gross Profit Margin
- Operating Profit Margin
- Net Profit Margin
63Financial Ratios Profitability Ratios
- Gross profit Margin
- Measures the percentage of each sales dollar
remaining after the firm has paid for its goods - The higher the gross profit margin, the better
- Sales Cost of goods sold Gross Profit
Sales Sales
64Financial Ratios Profitability Ratios
- Operating Profit Margin
- Measures the percentage of each sales dollar
remaining after all costs and expenses other than
interest, taxes, and preferred stock dividends
are deducted the pure profits earned on each
sales dollar - A high ratio is preferred
- Operating profits
- Sales
65Financial Ratios Profitability Ratios
- Net Profit Margin
- Measures the percentage of each sales dollar
remaining after costs and expenses, including
interest, taxes and preferred stock dividends,
have been deducted - The higher the ratio, the better
- Earnings available for common stockholders
- Sales
- The NPM is sometimes defined as net profits after
taxes divided by sales
66Financial Ratios Profitability Ratios
- Earning Per Share (EPS)
- EPS represents the dollar amount earned on behalf
of each outstanding share of common stock not
the amount of earnings actually distributed to
shareholders - Earnings available for common stockholders
- Number of shares of common stock outstanding
67Financial Ratios Profitability Ratios
- Return on Total Assets (ROA)
- ROA measures the overall effectiveness of
management in generating profits with its
available assets also called Return on
Investments (ROI) - Some firms use this measure as a simple decision
technique for evaluating proposed fixed-asset
investments - Earnings available for common stockholders
- Total assets
68Financial Ratios Profitability Ratios
- Return on Common Equity (ROE)
- ROE measures the return earned on the common
stockholders investment in the firm - Some firms use this measure as a simple decision
technique for evaluating proposed fixed-asset
investments - Earnings available for common stockholders
- Common stock equity
69Financial Ratios Profitability Ratios
- Return on Expenses (ROX)
- ROX measures the return earned in comparison to
the expenses - It shows how much dollar in expenses is necessary
to generate one dollar of return - The lower the ratio is, the better
- Earnings
- Expenses
70Financial Ratios Market Ratios
- Markets Ratios
- Relate a firms market value as measured by its
current share price, to certain accounting values - Give insight into how well investors in the
marketplace feel the firm is doing in terms of
risk and return
71Financial Ratios Market Ratios
- Price / Earnings Ratio (P/E Ratio)
- Measures the amount that investors are willing to
pay for each dollar of a firms earnings - The higher the ratio, the greater the investor
confidence - Market price per share of common stock
- Earnings per shares
72Financial Ratios Market Ratios
- Market / Book Ratio (M/B Ratio)
- Prides an assessment of how investors view the
firms performance. - Firms expected to earn high returns relative to
their risk typically sell at higher M/B multiples - We need first to find the book value per share of
common stock - Common stock equity
- Number of shares of common stock outstanding
73Financial Ratios Market Ratios
- Market / Book Ratio (M/B Ratio) (contd)
- The Market Book ration is
- Market price per share of common stock
- Book value per share of common stock
- The stocks of a firm that are expected to perform
well - Improve profits
- Increase market share
- Launch successful products
- Sell at a higher M/B ratios than the stocks of
firms with less attractive outlook - Firms expected to earn high returns relative to
their risk typically sell at higher MB multiples
74The Financial Planning Process
75Financial Planning
- Planning starts with long-term or strategic,
financial plans that in turns guide the
formulation of short-term, or operating, plans
and budget - Two key aspects
- Cash planning
- Preparation of cash budget
- Profit planning
- Preparation of pro-format statements
- Both are important
- for internal financial planning
- For routinely existing and prospective lenders
76Long-Term (Strategic) Financial Plans
- Strategic Financial Plans lay out
- Companys financial actions
- The anticipated impact on those actions over
periods ranging from 2 to 10 years - Preparation of the annual budget is an important
part of the plannings process that involves all
managers - It represents a tedious but important management
activity - Together with production and marketing plans,
guides the firm towards strategic goals
77Short-Term (Operating) Financial Plans
- Operating Financial Plans specifies
- Short-term financial actions
- The anticipated impact on those actions
- More often over 1- to 2-year period
- Key inputs include
- Cash budget
- Pro forma financial statements
78Cash Planning Cash Budgets
- Cash budget specifies inflows and outflows of
cash that is used to estimate its short-term cash
requirements - Typically to cover a 1-year period, divided into
small intervals - Often presented on a monthly basis as many firms
and seasonal and uncertain cash flows - Firms with stable patterns of cash flows use
quarterly or annual time intervals
79Cash Planning Cash Budgets Sales Forecast
- Prediction of the firms sales over a given
period - Based on external and/or internal data
- Used as key input to the short-term financial
planning process - The manager estimates monthly cash flows
resulting from - Projected sales
- Outlays related to production, inventory and sales
80Cash Planning Cash Budgets Sales Forecast
- The manager also determines
- The level of fixed assets required
- The amount of financing (if any) needed to
support the forecast level of sales and
production - In practice, obtaining good data is the most
difficult aspect of forecasting - Sales forecast may be based on analysis of
- External data
- Internal data
- Or a combination of the two
81Cash Planning Cash Budgets Sales Forecast
- External forecast
- Sales forecast based
- On relationships observed between the firms
sales - Certain key external economic indicators, such
as - GDP
- New housing starts
- Consumer confidence
- Disposable personal income
- Internal Forecast
- Sales forecasts are based on a build up or
consensus, of sales forecasts through the firms
own sales channels
82Cash Planning Cash Budgets Sales Forecast
- Internal Forecast (contd)
- The firm need to spend a great deal of time and
effort to make the sales forecasts as precise as
possible - An after-the-fact analysis of the prior years
forecast can help the firm to determine which
approach or combination of approaches will give
it the most accurate forecasts - Firms generally use a combination of the two
- Internal data provide insight into sales
expectations - External data provide a means of adjusting these
expectations to take into account general
economic factors
83Cash Planning Cash Budgets Preparing the Cash
Budget
- Cash receipts
- Include all firms inflow of cash during a given
financial period - Most common components are
- Cash sales
- Collections of accounts receivable
- Other cash receipts
- Cash Disbursements
- All outlays of cash by the firm during a given
financial period
84Cash Planning Cash Budgets Preparing the Cash
Budget
- Cash Disbursements (contd)
- The most common cash disbursements are
- Cash purchases
- Payment of accounts payable
- Rent (or lease) payments
- Wages and salaries
- Tax payments
- Fixed-asset outlays
- Interest payments
- Cash dividend payments
- Principal payments (loans)
- Repurchase or retirements of stock
85Cash Planning Cash Budgets
- Some definitions
- Net cash flow mathematical difference between
the firms cash receipts and its cash
disbursements in each period - Ending cash the sum of the firms beginning cash
and its net cash flow for the period - Required total financing amount of funds needed
by the firm if the ending cash for the period is
less than the desired minimum cash balance
typically represented by notes payable
86Cash Planning Cash Budgets
- Some definitions (contd)
- Excess cash balance the (excess) amount
available for investment by the firm if the
periods ending cash is greater than the desired
minimum cash balance assumed to be invested in
marketable securities
87Financial concepts
88Time value in finance
- Time value of money is one of the most important
concepts in finance. - Money that the firm has is more valuable than
money inthefuture as money can be invested and
earn positive earnings
89Time value in finance
- Future Value versus Present value
- The time line is a horizontal line on which time
zero appears at the leftmost end and future
periods are marked from left to right. It can be
sued to depict investment cash flows
- 10,000
3,000
5,000
4,000
3,000
2,000
End of the year
90Time value in finance
- Computational tools
- Time-consuming calculations often involved in
finding future and present values - Financial tables include various future and
present value interest factors that simplify time
value calculations - Financial calculators also can be used for time
value computations - include numerous pre-programmed financial
routines - Spreadsheets have built-in routines that simplify
value calculations
91Time value in finance
- Basic patterns of Cash Flow
- Single amount
- A lump-sum amount either currently held or
expected at some future date - Annuity
- Level periodic stream of cash flow. (For our
purposes well work with annual cash flows) - Mixed stream
- Stream of cash that is not an annuity
- Unequal periodic cash flows that reflect no
particular pattern
92Single Amounts
- Future Value of a Single Amount
- The future value is the value at a given time in
the future of a present amount - placed on deposit today and
- Earning interest at a specified rate
- Found by applying compound interest over a period
of time - Compound interest
- Interest that is earned on a given deposit and
has become part of the principal at the end of
the specified period - Principal
- The amount of money on which interest is paid
93Single Amounts
- Future Value of a Single Amount (contd)
- FV PV x (1i)
- FV Future value at the end of the period n
- PV Initial principal, or present value
- i annual rate of interest paid
- n number of periods that the money is left
on deposit
n
n
n
94Single Amounts
- Future Value of a Single Amount (contd)
- Using computational tools
- Future value interest factor
- The multiplier used to calculate at a specifies
interest rate, the future value of a present
amount as of a given time - FV PV x (FVIF )
n
95Single Amounts
- Present Value of a Single Amount
- The current value of a future amount
- The amount of money that would have to be
invested today at a given interest rate over a
specified period to equal the future amount - The concept of future value often refers to
discounting cash flows - Discounting cash flows
- Process of finding present values
- Inverse of compounding interest
n
96Single Amounts
- Present Value of a Single Amount (contd)
FV
n
PV
97Single Amounts
- Present Value of a Single Amount (contd)
- Present value interest factor
- The multiplier used to calculate, at a specified
discount rate, the present value of an amount to
be received in a future period
1
PVIF
i,n
98Single Amounts
- Comparing Present and Future value
- Present value relationship
- Discount rates
- Time periods
- Present value of the
99Annuities
- Annuity
- A stream of equal periodic cash flows, over a
specified time period - These cash flows can be
- Inflows of returns earned on investments
- Outflows of funds invested to earn future returns
- Ordinary annuity
- An annuity for which the cash flow occurs at the
end of each period - Annuity due
- An annuity for which the cash flow occurs at the
beginning of each period
100Annuities
- Future Value of an Ordinary Annuity
- What we will receive at the end of a specified
period - EX 1,000end-of-year deposit earning 7, at the
end of 5 years - Year 1 1,000 1,311
- Year 2 1,000 1,225
- Year 3 1,000 1,145
- Year 4 1,000 1,070
- Year 5 1,000 1,000
- TOTAL 5,751
-
101Annuities
- Present Value of an Ordinary Annuity
- The cash flows are discounted at an interest rate
over the specifies period - EX 700 end of-year cash flows, discounted at 8
over 5 years - Year 1 700 648.2
- Year 2 700 599.9
- Year 3 700 555.8
- Year 4 700 514.5
- Year 5 700 476.7
- TOTAL 2,795.10
102Annuities
- Future Value of an Annuity Due
- Occurs at the start of the period
- Present Value of an Annuity Due
- Each annuity cash flow due is discounted back one
less year than for an ordinary annuity - Present Value of a Perpetuity
- Perpetuity is an annuity with an infinite life,
providing continual annual cash flow
103Mixed Streams
- Future Value of a Mixed Stream
- Straightforward we determine the future value of
each cash flow at the specified future date and
then add the individual future values to find the
total future value - Present Value of a Mixed Stream
- We determine the present value of each amount and
then add the individual present values together
to find the total present value
104Compounding Interests more Frequently than
Annually
- Semi-annual compounding
- Compounding of interest over two periods within
one year - Quarterly compounding
- Compounding of interest over four periods within
the year - Continuous compounding
- Compounding of interest an infinite number of
times per year at interval of micro-seconds
105Compounding Interests more Frequently than
Annually
- Nominal and Effective Annual Rate of Interest
- Nominal (stated) annual rate contractual rate of
interest charged by a lender or promised by a
borrower - Effective (true) annual rate (EAR) the annual
interest actually paid or earned - i the nominal annual rate
- m the compounding frequency
106Special Applications of Time Value
- Determining Deposits Needed to Accumulate a
Future Sum - Closely related to finding the future value of an
annuity - Loan Amortisation
- Determination of the equal periodic loan payments
necessary to provide a lender with a specified
interest return and to repay the loan principal
over a specified period - The loan amortisation schedule a schedule of
equal payments to repay a loan. It shows the
allocation of each loan payment to interest and
principal
107Special Applications of Time Value
- Finding Interest or Growth rates
- Rate of growth rate in
- Sales
- Earnings
- Etc.
- We can use either future or present value
interest factors - Finding an Unknown Number of Periods
- Sometimes necessary to calculate the number of
time periods needed to generate a given amount of
cash flow from an initial amount
108Risk and Return
109Risk and Return Fundamentals
- A portfolio is a collection, or group, of assets
- Risk Defined
- Chance of financial loss or more formally, the
variability of returns associated with a given
asset - Return Defined
- Total gain or loss experienced on a investment
over a given period of time - Calculated by dividing the assets cash
distributions during the period, plus change in
value, by its beginning-of-period investment
value
110Types of Risks
- Risks you can measure
- Market Risk
- Liquidity Risk
- Credit Risk
- Solvency Risk
- Risks you can estimate
- Operational Risk
- Legal Risk
- Risks you cannot measure
- Business/event risk
- Systemic risk
- Political Risk
111Risk and Return Fundamentals
- Risk Preferences
- Risk-indifferent
- the attitude toward risk in which no change in
return would be required for an increase in risk - Risk-averse
- An increase in return is required for an increase
in risk - Risk-seeking
- Decreased return would be accepted for an
increase in risk - Most of the managers are risk-averse for a given
increase in risk, the require an additional
increase in return
112Risk of a Single Asset
- Risk Assessment
- Sensitivity analysis
- Approach for assessing risk that uses several
possible-return estimates to obtain a sense of
the variability among outcomes - Range
- A measure of an assets risk, which is found by
subtracting the pessimistic (worst) outcome from
the optimistic (best) outcome - Decreased return would be accepted for an
increase in risk - Probability
- The chance that a given outcome will occur
- A probability distribution is a model that
relates probabilities to the associated outcomes
113Risk of a Single Asset
- Risk Measurement
- Standard deviation
- Most common statistical indicator of an assets
risk it measures the dispersion around the
expected value - The expected value of a return is the most likely
return of a given asset - The normal probability distribution is a
symmetrical distribution whose shape resembles a
bell-shaped curve - Coefficient of variation
- A measure of relative dispersion that is useful
in comparing the risks of assets with differing
expected returns - The higher the coefficient of variation, the
greater the risk and therefore the higher the
expected return
114Risk of a Portfolio
- The financial managers goal is to create an
efficient portfolio - Maximising return at a given level of risk
- Or
- Minimising risk for a given level of return
- Portfolio Return and standard Deviation
- The return of a portfolio is a weighted average
of the returns of the individual assets from
which it is formed
115Risk of a Portfolio
- Portfolio Return and standard Deviation (contd)
- The correlation
- Statistical measure of the relationship between
two series of numbers representing data of any
kind - Positively correlated describes the series that
move in the same direction - Negatively correlated describes two series that
move in opposite directions
116Risk of a Portfolio
- Portfolio Return and standard Deviation (contd)
- The correlation (contd)
- The correlation coefficient measures the degree
of correlation between two series - Perfectly positively correlated 1
- Perfectly negatively correlated -1
- Uncorrelated two series that lack any
interaction and therefore have a coefficient
correlation close to 0
117Risk of a Portfolio
- Portfolio Return and standard Deviation (contd)
- The correlation, Diversification, Risk and
Return - The lower the correlation between assets returns,
the greater the potential diversification of risk - International Diversification
- Returns form international diversification
- Over long periods, the returns from
internationally diversified portfolios tend to be
superior to those of purely domestic ones
118Risk of a Portfolio
- Portfolio Return and standard Deviation (contd)
- International Diversification (contd)
- Risks of international diversification
- The most important is the political risk
- This risk arises from the possibility that a host
government will take actions harmful to foreign
investors or that political turmoil in a country
will endanger investments there
119Risk and Return The CAPM Model
- The most important aspect of risk is the overall
risk of the firm viewed by the investors in the
marketplace - Overall risk affects investment opportunities and
owners wealth - The CAPM model basic theory that links risk and
return for all assets
120Risk and Return The CAPM Model
- Types of risk
- Total risk
- Combination of a security non-diversifiable risk
and diversifiable risk - Diversifiable risk
- Portion of an assets risk that is attributable
to firm specific, random causes - Can be eliminated through diversification
- Also called unsystematic risk
121Risk and Return The CAPM Model
- Types of risk (contd)
- Non-diversifiable risk
- Relevant portion of asses risk that is
attributable to market factors that affect all
firms - Cannot be eliminated through diversification
- Also called systematic risk
122Risk and Return The CAPM Model
- The Model CAPM
- Links non-diversifiable risk and return for all
assets - The Beta coefficient
- Relative measure of non-diversifiable risk
- Index of the degree of movement of an assets
return in response to a change in the market
return - The market return is the return on the market
portfolio of all traded securities - Published betas are calculated using historical
data - When investors used beta for decision making,
they should recognise that past performance
relative to the market average may not accurately
predict future performance
123Risk and Return The CAPM Model
- The Beta coefficient (contd)
- The beta coefficient for the market is considered
as equal to 1.0 - All other betas are viewed in relation to this
value - May be positive or negative but positive betas
are the norm - The return of a stock that is half responsive as
the market (b.5) is expected to change by ½
for each 1change in the return of the market
portfolio - Portfolio beta can easily be estimated by using
the betas of individuals assets it includes
124Risk and Return The CAPM Model
- The Equation
- Using the beta coefficient to measure
non-diversifiable risk, the CAPM is - k R b x (k R )
- Where
- k required return on asset j
- R risk-free rate of return, commonly measured
by the return on a US T-Bill - b beta coefficient or index of
non-diversifiable risk for asset j - k market return return on the market portfolio
of assets
j
m
F
F
j
F
j
m
125Risk and Return The CAPM Model
- The Equation (contd)
- Risk-free rate of return is the required return
on a risk free asset (US TBill) - The CAPM can be divided into two parts
- Risk-free rate of return
- Risk premium
- The (k - R ) portion of risk premium is also
called market risk - Historical risk premiums
- Using the historical data for selected security
investment, we can calculate the risks premiums
for each investment category - subtracting the historical US T-Bill average
return form the historical average return for a
given investment
m
F
126Risk and Return The CAPM Model
- The Graph The Security Market Line (SML)
- SML is the depiction of the CAPM as a graph that
reflects the required return in the marketplace
for each level of non-diversifiable risk (beta) - The SML will be a straight line
- It reflects the required return in the
marketplace for each level of non-diversifiable
risk. - In the graph, risk is measure by beta, b, is
plotted on the x axis and required returns, k,
are plotted on the y axis - ThetheSML is not stable overtime and shifts in
the security market line can result in a change
in required return two major faces inflationary
expectations and risk aversion
127Risk and Return The CAPM Model
- Changes in Inflationary expectations
- These changes affect the risk-free rate of return
- As the risk-free rate is a basic component of all
rates of return, any change in RF will be
reflected in all required rates of return - Changes in inflationary expectations result in
parallel shifts in the SL in direct response to
the magnitude and direction of the change
128Risk and Return The CAPM Model
- Comments on the CAPM
- CAPM was developed to explain the behaviour of
security prices and provide a mechanism whereby
investors cold asses the impact of a proposed
security investment on their portfolios overall
risk and return - Based on an efficient market
- Efficient market has the following
characteristics - Many small investors, all havingthesame
information and expectations - No restrictions on investment
- No taxes
- No transaction costs
- Rational investors who vie securities similarly
and are risk-averse, preferring higher returns
and lo