Advanced Financial Management
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Transcript of Advanced Financial Management
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I. FINANCIAL MANAGEMENT
Financial management is an academic discipline which is concerned with decision-making. This
decision is concerned with the size and composition of assets and the level and structure of financing. In
order to make right decision, it is necessary to have a clear understanding of the objectives. Such an
objective provides a framework for right kind of financial decision making. The objectives are concerned
with designing a method of operating the Internal Investment and financing of a firm. There are two widely
applied approaches, viz.
(a) Profit maximization and
(b) Wealth maximization.
The term ‘objective’ is used in the sense of an object, a goal or decision criterion. The three
decisions – Investment decision, financing decision and dividend policy decision are guided by the
objective. Therefore, what is relevant – is not the over-all objective but an operationally useful criterion: It
should also be noted that the term objective provides a normative framework. Therefore, a firm should try
to achieve and on policies which should be followed so that certain goals are to be achieved. It should be
noted that the firms do not necessarily follow them.
Profit Maximization as a Decision Criterion
Profit maximization is considered as the goal of financial management. In this approach, actions
that Increase profits should be undertaken and the actions that decrease the profits are avoided. Thus, the
Investment, financing and dividend also be noted that the term objective provides a normative framework
decisions should be oriented to the maximization of profits. The term ‘profit’ is used in two senses. In one
sense it is used as an owner-oriented.
In this concept it refers to the amount and share of national Income that is paid to the owners of
business. The second way is an operational concept i.e. profitability. This concept signifies economic
efficiency. It means profitability refers to a situation where output exceeds Input. It means, the value
created by the use of resources is greater that the Input resources. Thus in all the decisions, one test is used
I.e. select asset, projects and decisions that are profitable and reject those which are not profitable.
The profit maximization criterion is criticized on several grounds. Firstly, the reasons for the
opposition that are based on misapprehensions about the workability and fairness of the private enterprise
itself. Secondly, profit maximization suffers from the difficulty of applying this criterion in the actual real-
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world situations. The term ‘objective’ refers to an explicit operational guide for the internal investment and
financing of a firm and not the overall business operations. We shall now discuss the limitations of profit
maximization objective of financial management.
1) Ambiguity:
The term ‘profit maximization’ as a criterion for financial decision is vague and ambiguous
concept. It lacks precise connotation. The term ‘profit’ is amenable to different interpretations by different
people. For example, profit may be long-term or short-term. It may be total profit or rate of profit. It may
be net profit before tax or net profit after tax. It may be return on total capital employed or total assets or
shareholders equity and so on.
2) Timing of Benefits:
Another technical objection to the profit maximization criterion is that It Ignores the differences in
the time pattern of the benefits received from Investment proposals or courses of action. When the
profitability is worked out the bigger the better principle is adopted as the decision is based on the total
benefits received over the working life of the asset, Irrespective of when they were received. The following
table can be considered to explain this limitation.
3) Quality of Benefits
Another Important technical limitation of profit maximization criterion is that it ignores the quality
aspects of benefits which are associated with the financial course of action. The term ‘quality’ means the
degree of certainty associated with which benefits can be expected. Therefore, the more certain the
expected return, the higher the quality of benefits. As against this, the more uncertain or fluctuating the
expected benefits, the lower the quality of benefits.
The profit maximization criterion is not appropriate and suitable as an operational objective. It is
unsuitable and inappropriate as an operational objective of Investment financing and dividend decisions of
a firm. It is vague and ambiguous. It ignores important dimensions of financial analysis viz. risk and time
value of money.
An appropriate operational decision criterion for financial management should possess the following
quality.
1. It should be precise and exact.
2. It should be based on bigger the better principle.
3. It should consider both quantity and quality dimensions of benefits.
4. It should recognize time value of money.
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Wealth Maximization Decision Criterion
Wealth maximization decision criterion is also known as Value Maximization or Net Present-Worth
maximization. In the current academic literature value maximization is widely accepted as an appropriate
operational decision criterion for financial management decision. It removes the technical limitations of
the profit maximization criterion. It posses the three requirements of a suitable operational objective of
financial courses of action.
These are features are exactness, quality of benefits and the time value of money.
1. Exactness:
The value of an asset should be determined In terms of returns it can produce. Thus, the worth of a
course of action should be valued In terms of the returns less the cost of undertaking the particular course
of action. Important element in computing the value of a financial course of action is the exactness in
computing the benefits associated with the course of action. The wealth maximization criterion is based on
cash flows generated and not on accounting profit. The computation of cash inflows and cash outflows is
precise. As against this the computation of accounting is not exact.
2. Quality and Quantity and Benefit and Time Value of Money:
The second feature of wealth maximization criterion is that. It considers both the quality and
quantity dimensions of benefits. Moreover, it also incorporates the time value of money. As stated earlier
the quality of benefits refers to certainty with which benefits are received In future.
The more certain the expected cash inflows the better the quality of benefits and higher the value.
On the contrary the less certain the flows the lower the quality and hence, value of benefits. It should also
be noted that money has time value. It should also be noted that benefits received in earlier years should be
valued highly than benefits received later.
The operational implication of the uncertainty and timing dimensions of the benefits associated
with a financial decision is that adjustments need to be made in the cash flow pattern. It should be made to
incorporate risk and to make an allowance for differences in the timing of benefits. Net present value
maximization is superior to the profit maximization as an operational objective.
It involves a comparison of value of cost. The action that has a discounted value reflecting both
time and risk that exceeds cost is said to create value. Such actions are to be undertaken. Contrary to this
actions with less value than cost, reduce wealth should be rejected. It is for these reasons that the Net
Present Value Maximization is superior to the profit maximization as an operational objective.
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PROFIT MAXIMIZATION VS WEALTH MAXIMIZATION
PROFIT MAXIMISATION – It is one of the basic objectives of financial management. Profit
maximization aims at improving profitability, maintaining the stability and reducing losses and
inefficiencies.
Profit in this context can be seen in 2 senses.
1. Profit maximization for the owner.
2. Profit maximization is for others.
Normally profit is linked with efficiency and so it is the test of efficiency.
However this concept has certain limitations like ambiguity i.e. the term is not clear as it is nowhere
defined, it changes from person to person.
2. Quality of profit – normally profit is counted in terms of rupees. Normally amt earned is called as profit
but it ignores certain basic ideas like wastage, efficiency, employee skill, employee’s turnover, product
mix, manufacturing process, administrative setup.
3. Timing of benefit / time value of profit – in inflationary conditions the value of profit will decrease and
hence the profits may not be comparable over a longer period span.
4. Some economists argue that profit maximization is sometimes leads to unhealthy trends and is harmful
to the society and may result into exploitation, unhealthy competition and taking undue advantage of the
position.
WEALTH MAXIMISATION – One of the traditional
Approaches of financial management , by wealth maximization we mean the accumulation and creation
of wealth , property and assets over a period of time thus if profit maximization is aimed after taking care
, of its limitations it will lead to wealth maximization in real sense, it is a long term concept based on the
cash flows rather than profits an hence there can be a situation where a business makes losses every year
but there are cash profits because of heavy depreciation which indirectly suggests heavy investment in
fixed assets and that is the real wealth and it takes into account the time value of money and so is
universally accepted.
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II. FINANCIAL PLANNING
Definition
A comprehensive evaluation of an investor's current and future financial state by using currently
known variables to predict future cash flows, asset values and withdrawal plans. Most individuals work in
conjunction with an investment or tax professional and use current net worth, tax liabilities, asset
allocation, and future retirement and estate plans in developing the plan. These will be used along with
estimates of asset growth to determine if a person's financial goals can be met in the future, or what steps
need to be taken to ensure that they are.
Meaning
In general usage, a financial plan is a series of steps or goals used by an individual or business, the
progressive and cumulative attainment of which are designed to accomplish a financial goal or set of
circumstances, e.g. elimination of debt, retirement preparedness, etc. This often includes a budget which
organizes an individual's finances and sometimes includes a series of steps or specific goals for spending
and saving future income. This plan allocates future income to various types of expenses, such as rent or
utilities, and also reserves some income for short-term and long-term savings. A financial plan is
sometimes referred to as an investment plan, but in personal finance a financial plan can focus on other
specific areas such as risk management, estates, college, or retirement.
What is Financial Planning?
Financial Planning is the process of meeting your life goals through the proper management of your
finances. Life goals can include buying a house, saving for your child's higher education or planning for
retirement. The Financial Planning Process consists of six steps that help you take a 'big picture' look at
where you are currently. Using these six steps, you can work out where you are now, what you may need in
the future and what you must do to reach your goals. The process involves gathering relevant financial
information, setting life goals, examining your current financial status and coming up with a strategy or
plan for how you can meet your goals given your current situation and future plans.
Benefit’s of Financial Planning?
Financial Planning provides direction and meaning to your financial decisions. It allows you to
understand how each financial decision you make affects other areas of your finances. For example, buying
a particular investment product might help you pay off your mortgage faster or it might delay your
retirement significantly. By viewing each financial decision as part of the whole, you can consider its short
and long-term effects on your life goals. You can also adapt more easily to life changes and feel more
secure that your goals are on track.
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Who is a Financial Planner?
A Financial Planner is someone who uses the Financial Planning process to help you figure out how
to meet your life goals. The Planner can take a 'big picture' view of your financial situation and make
Financial Planning recommendations that are suitable for you. The Planner can look at all your needs
including budgeting and saving, taxes, investments, insurance and retirement planning. Or, the Planner may
work with you on a single financial issue but within the context of your overall situation. This big picture
approach to your financial goals sets the Planner apart from other Financial Advisors, who may have been
trained to focus on a particular area of your financial life.
How to make financial planning work for you?
You are the focus of the Financial Planning process. As such, the results you get from working with
a Financial Planner are as much your responsibility as they are those of the Planner. To achieve the best
results from your Financial Planning engagement, you will need to be prepared to avoid some of the
common mistakes shown above by considering the following advice:
1. Set measurable goals
Set specific targets of what you want to achieve and when you want to achieve results. For
example, instead of saying you want to be 'comfortable' when you retire or that you want your children to
attend 'good' schools, you need to quantify what 'comfortable' and 'good' mean so that you'll know when
you've reached your goals.
2. Understand the effect of each financial decision
Each financial decision you make can affect several other areas of your life. For example, an
investment decision may have tax consequences that are harmful to your estate plans. Or a decision about
your child's education may affect when and how you meet your retirement goals. Remember that all of
your financial decisions are interrelated.
3. Re-evaluate your financial situation periodically
Financial Planning is a dynamic process. Your financial goals may change over the years due to
changes in your lifestyle or circumstances, such as an inheritance, marriage, birth, house purchase or
change of job status. Revisit and revise your Financial Plan as time goes by to reflect these changes so that
you stay on track with your long-term goals.
4. Start planning as soon as you can
Don't delay your Financial Planning. People, who save or invest small amounts of money early, and
often, tend to do better than those who wait until later in life. Similarly, by developing good Financial
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Planning habits such as saving, budgeting, investing and regularly reviewing your finances early in life,
you will be better prepared to meet life changes and handle emergencies.
5. Be realistic in your expectations
Financial Planning is a common sense disciplined approach to managing your finances to reach life
goals. It cannot change your situation overnight; it is a lifelong process. Remember that events beyond your
control such as inflation or changes in the stock market or interest rates will affect your Financial Planning
results.
6. Realize that you are in charge
If you're working with a Financial Planner, be sure you understand the Financial Planning process
and what the Planner should be doing. Provide the Planner with all of the relevant information about
financial status. Ask questions about the recommendations offered to you and play an active role in
decision-making.
Common Mistakes in Financial Planning Approach
1. Don't set measurable goals.
2. Make a financial decision without understanding its affect on other financial issues.
3. Confuse Financial Planning with investing.
4. Neglect to re-evaluate their Financial Plan periodically.
5. Think that Financial Planning is only for the wealthy.
6. Think that Financial Planning is for when they get older.
7. Think that Financial Planning is the same as retirement planning.
8. Wait until a money crisis to begin Financial Planning.
9. Expect unrealistic returns on investments.
10. Think that using a Financial Planner means losing control.
11. Believe that Financial Planning is primarily tax planning.
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There are three types of financial plans, viz.,
Short-term financial plan is prepared for maximum one year. This plan looks after the working capital
needs of the company.
Medium-term financial plan is prepared for a period of one to five years. This plan looks after replacement
and maintenance of assets, research and development, etc.
Long-term financial plan is prepared for a period of more than five years. It looks after the long-term
financial objectives of the company, its capital structure, expansion activities, etc.
Create a Sound Financial Plan
Step 1 Establish Goals
Step 2 Gather Data
Step 3 Analyze & Evaluate Your Financial Status
Step 4 Develop a Plan
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Step 5 Implement the Plan
Step 6 Monitor the Plan & Make Necessary Adjustments
Ten Principles of Sound Financial Management
1. Planning Policy
The planning system in the County will continue as a dynamic process, which is synchronized with
the capital improvement program, capital budget and operating budget. The County’s land use plans shall
not be allowed to become static. There will continue to be periodic reviews of the plans at least every five
years. Small area plans shall not be modified without consideration of contiguous plans. The Capital
Improvement Program will be structured to implement plans for new and expanded capital facilities as
contained in the County’s Comprehensive Plan and other facility plans. The Capital Improvement Program
will also include support for periodic reinvestment in aging capital and technology infrastructure sufficient
to ensure no loss of service and continued safety of operation.
2. Annual Budget Plans
Annual budgets shall continue to show fiscal restraint. Annual budgets will be balanced between projected
total funds available and total disbursements including established reserves.
1. A managed reserve shall be maintained in the General Fund at a level sufficient to provide for
temporary financing of critical unforeseen disbursements of a catastrophic emergency nature. The
reserve will be maintained at a level of not less than two percent of total Combined General Fund
disbursements in any given fiscal year.
2. A Revenue Stabilization Fund (RSF) shall be maintained in addition to the managed reserve at a
level sufficient to permit orderly adjustment to changes resulting from curtailment of revenue. The
ultimate target level for the RSF will be three percent of total General Fund Disbursements in any
given fiscal year. After an initial deposit, this level may be achieved by incremental additions over
many years. Use of the RSF should only occur in times of severe economic stress. Accordingly, a
withdrawal from the RSF will not be made unless the projected revenues reflect a decrease of more
than 1.5 percent from the current year estimate and any such withdrawal may not exceed one half of
the RSF fund balance in that year. Until the target level is reached, the Board of Supervisors will
allocate to the RSF a minimum of 40 percent of non-recurring balances identified at quarterly
reviews.
3. Budgetary adjustments which propose to use available general funds identified at quarterly reviews
should be minimized to address only critical issues. The use of non-recurring funds should only be
directed to capital expenditures to the extent possible.
4. The budget shall include funds for cyclic and scheduled replacement or rehabilitation of equipment
and other property in order to minimize disruption of budgetary planning from irregularly
scheduled monetary demands.
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3. Cash Balances
It is imperative that positive cash balances exist in the General Fund at the end of each fiscal year.
If an operating deficit appears to be forthcoming in the current fiscal year wherein total disbursements will
exceed the total funds available, the Board will take appropriate action to balance revenues and
expenditures as necessary so as to end each fiscal year with a positive cash balance.
4. Debt Ratios
The County’s debt ratios shall be maintained at the following levels:
1. Net debt as a percentage of estimated market value shall be less than 3 percent.
2. Debt service expenditures as a percentage of General Fund disbursements shall not exceed 10
percent. The County will continue to emphasize pay-as-you-go capital financing. Financing capital
projects from current revenues is indicative of the County’s intent to use purposeful restraint in
incurring long-term debt.
3. For planning purposes annual bond sales shall be structured such that the County’s debt burden
shall not exceed the 3 and 10 percent limits. To that end sales of general obligation bonds and
general obligation supported debt will be managed so as not to exceed a target of $200 million per
year, or $1 billion over 5 years, with a technical limit of $225 million in any given year. Excluded
from this cap are refunding bonds, revenue bonds or other non-General Fund supported debt.
4. For purposes of this principle, debt of the General Fund incurred subject to annual appropriation
shall be treated on a par with general obligation debt and included in the calculation of debt ratio
limits. Excluded from the cap are leases secured by equipment, operating leases, and capital leases
with no net impact to the General Fund.
5. For purposes of this principle, payments for equipment or other business property, except real
estate, purchased through long-term lease-purchase payment plans secured by the equipment will be
considered to be operating expenses of the County. Annual General Fund payments for such leases
shall not exceed 3 percent of annual General Fund disbursements, net of the School transfer.
Annual equipment lease-purchase payments by the Schools and other governmental entities of the
County should not exceed 3 percent of their respective disbursements.
5. Cash Management
The County’s cash management policies shall reflect a primary focus of ensuring the safety of
public assets while maintaining needed liquidity and achieving a favorable return on investment. These
policies have been certified by external professional review as fully conforming to the recognized best
practices in the industry. As an essential element of a sound and professional financial management
process, the policies and practices of this system shall receive the continued support of all County agencies
and component units.
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6. Internal Controls
A comprehensive system of financial internal controls shall be maintained in order to protect the
County’s assets and sustain the integrity of the County’s financial systems. Managers at all levels shall be
responsible for implementing sound controls and for regularly monitoring and measuring their
effectiveness.
7. Performance Measurement
To ensure Fairfax County remains a high performing organization all efforts shall be made to
improve the productivity of the County’s programs and its employees through performance measurement.
The County is committed to continuous improvement of productivity and service through analysis and
measurement of actual performance objectives and customer feedback.
8. Reducing Duplication
A continuing effort shall be made to reduce duplicative functions within the County government
and its autonomous and semi-autonomous agencies, particularly those that receive appropriations from the
General Fund. To that end, business process redesign and reorganization will be encouraged whenever
increased efficiency or effectiveness can be demonstrated.
9. Underlying Debt and Moral Obligations
The proliferation of debt related to but not directly supported by the County’s General Fund shall be
closely monitored and controlled to the extent possible, including revenue bonds of agencies supported by
the General Fund, the use of the County’s moral obligation and underlying debt.
1. A moral obligation exists when the Board of Supervisors has made a commitment to support the
debt of another jurisdiction to prevent a potential default, and the County is not otherwise
responsible or obligated to pay the annual debt service. The County’s moral obligation will be
authorized only under the most controlled circumstances and secured by extremely tight covenants
to protect the credit of the County. The County’s moral obligation shall only be used to enhance the
credit worthiness of an agency of the County or regional partnership for an essential project, and
only after the most stringent safeguards have been employed to reduce the risk and protect the
financial integrity of the County.
2. Underlying debt includes tax supported debt issued by towns or districts in the County, which debt
is not an obligation of the County, but nevertheless adds to the debt burden of the taxpayers within
those jurisdictions in the County. The issuance of underlying debt, insofar as it is under the control
of the Board of Supervisors, will be carefully analyzed for fiscal soundness, the additional burden
placed on taxpayers and the potential risk to the General Fund for any explicit or implicit moral
obligation.
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10. Diversified Economy
County must continue to diversify its economic base by encouraging commercial and, in particular,
industrial employment and associated revenues. Such business and industry must be in accord with the
plans and ordinances of the County.
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III. ACCORDING TO M.M. APPROACH DIVIDEND POLICY HAS NO EFFECT
ON SHARE PRICE OF A COMPANY
Introduction:
Dividend decision by any company is an important issue to be determined by the financial management.
The dividend policy of firm determines what proportion of earnings is paid to shareholders by way of
dividends and what proportion is ploughed back in the firm for reinvestment purpose that is retained
earnings. Payment of dividend is desirable because the shareholders invest in the capital of the company
with a view to earn higher return and to maximize their wealth. On the contrary, retained earnings are the
sources of internal finance for financing future requirement and expansion programmes of the company.
Thus, both growth and dividends are desirable. But they are in conflict; a higher dividend means less
provision of funds for growth and higher retained earnings means low dividends which majority of
shareholders dislike. As both decisions are complementary to each other and no decision can be taken
independent of the other, the finance manager has to formulate a guidable dividend policy in such a way as
to strike a comparison between dividend payment and retention.
Meaning of Dividend:
The word ‘dividend’ is derived from the Latin word “Dividendum” which means “that which is to be
divided”. This distribution is made out of the profits remained after deducting all expenses, providing for
taxation, and transferring reasonable amount to reserve from the total income of the company.
The term dividend refers to that part of the profits of a company, which is to be distributed amongst its
shareholders. It may, therefore, be defined as the return that shareholders get from the company, out of its
profits, on his shareholdings. According to the Institute of Chartered Accountants of India, dividend is, “a
distribution to shareholders out of profits or reserves available for this purpose.” A company cannot declare
dividend unless there is –
- Sufficient profits
- Board of Directors recommendation
- An acceptance of the shareholders in the annual general meeting.
Thus, the Board of Directors keeping in view the financial requirements of the company and the
quantum of reasonable return to shareholders decides how much dividend should be distributed. It is
declared in annual general meeting of the company and after approval it is known as ‘declared dividend’.
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Dividend Policy and Share prices:
Dividend decision is one of the three major decisions of financial management. The financial
management has to choose between distribution of earnings and retention of earnings. The choice would
depend on the effect of the decision on the shareholders wealth. That is, the payment of dividend should be
preferred, if it leads to the maximization of shareholders’ wealth. If it is not so, the firm should retain the
profit and should not distribute dividend. Financial experts have not been unanimous on this issue.
Since the principle objective of the firm is to maximize the share price, question arises, what is the
relationship between dividend policy and market share price? This is one of the most controversial and
unresolved questions, where the empirical evidence is often mixed.
However, there are opinions regarding the impact of dividends on the price of share or valuation of firm.
One school of thought believes that dividend is irrelevant and does not affect the price of shares. The other
school of thought believes that dividend is relevant and affects the prices of shares.
The following dividend model (Modigliani and Miller Hypothesis of Dividend Irrelevance) of
thoughts on the relationship between dividend policy and the price of shares have been discussed below:
Franco Modigliani and Merton H. Miller advocate that, the dividend policy of a firm is irrelevant, as it
does not affect the wealth of the shareholders. Thus, dividends are irrelevant i.e. the value of firm is
independent of its dividend policy. It depends on the firm’s earnings, which result from its investment
policy. When investment decision of a firm is given, the dividend decision is of no significance in
determining the value of firm.
The MM hypothesis is based on the following assumptions:
There exist perfect capital market and investors are rational. Information is available to all free of
cost. There is no investor large enough to influence the market price of securities.
There is no transactional cost.
There is no floatation cost of raising new capital.
There exists no taxes or there is no difference in tax rates applicable to dividends and capital gains.
The investment policy of the firm is fixed and does not change. So the financing of investment
programmes through retained earnings does not change the business risk and there is no change in
required rate of return.
The matter of MM hypothesis may be stated as follows: If a company retains earnings instead of giving
it out as dividends, shareholders enjoy capital appreciation equal to the amount of earnings retained. If it
distributes earnings by way of dividends instead of retaining it, the shareholders enjoy dividends equal in
value to the amount by which his capital would have appreciated had the company chosen to retain its
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earnings. Lastly, because of operation of arbitrage, the dividend decision would be irrelevant even under
conditions of uncertainty. The market prices of the shares of two firms, with similar business risk
prospective future earnings and investment policies would be the same, irrespective of their pay-out ratios.
This is because of rational behaviour of shareholders. Hence, the division of earnings is irrelevant from the
viewpoint of the shareholders.
However, certain thinker affects the validity of this hypothesis. According to them, the MM hypothesis
is based on unrealistic assumptions. The approach is criticized on following grounds.
MM assumes that capital markets are perfect. This implies that there are no taxes, floatation costs
do not exist and there is absence of transaction costs. These assumptions are not valid in actual
conditions.
Apart from the market imperfection, the validity of the MM hypothesis, insofar as it argues that
dividends are irrelevant, is questionable under conditions of uncertainty. MM hold, it would be
recalled, that dividend policy is as irrelevant under conditions of uncertainty as it is when perfect
certainty is assumed. The MM hypothesis is, however, not valid as investors cannot be indifferent
between dividend and retained earnings under conditions of uncertainty. This can be seen in the fact
that the investors prefer near and certain dividend more rather than distant and uncertain dividend
or bonus stocks in future. Hence, they discount more the stock with distant dividend than the stock
with near dividend. Moreover, majority of shareholders being small investors they prefer current
income to meet their consumption requirements. Lastly, the payment of dividend conveys to the
shareholders information relating to the profitability of the firm. The significance of this aspect of
current dividend payments is expressed by Ezra Solomon in these words: “In an uncertain world in
which verbal statements can be ignored or misinterpreted, dividend action does provide a clear-cut
means of ‘making a statement’ that speaks louder than a thousand words”.
Modigliani and Miller ignores this facts but powerfully expressed by Gordon. Investors prefer dividend
to capital gains. So shares with higher current dividends, other things being equal, command higher price in
the market.
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IV. TERM STRUCTURE OF INTEREST RATES
Meaning:
The term structure of interest rates, also called the yield curve, is a graph that plots the yields of similar-
quality bonds against their maturities, from shortest to longest.
How It Works/Example:
The term structure of interest rates shows the various yields that are currently being offered on bonds of
different maturities. It enables investors to quickly compare the yields offered on short-term, medium-term
and long-term bonds.
Note that the chart does not plot coupon rates against a range of maturities -- that graph is called the
spot curve.
The term structure of interest rates takes three primary shapes. If short-term yields are lower than long-term
yields, the curve slopes upwards and the curve is called a positive (or "normal") curve. Below is an
example of a normal yield curve:
If short-term yields are higher than long-term yields, the curve slopes downwards and the curve is called a
negative (or "inverted") yield curve. Below is example of an inverted yield curve:
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Finally, a flat term structure of interest rates exists when there is little or no variation between short and
long-term yield rates. Below is an example of a flat yield curve:
It is important that only bonds of similar risk are plotted on the same yield curve. The most common type
of yield curve plots Treasury securities because they are considered risk-free and are thus a benchmark for
determining the yield on other types of debt.
The shape of the curve changes over time. Investors who are able to predict how term structure of interest
rates will change can invest accordingly and take advantage of the corresponding changes in bond prices.
Term structure of interest rates are calculated and published by The Wall Street Journal, the Federal
Reserve, and a variety of other financial institutions.
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Why It Matters:
In general, when the term structure of interest rates curve is positive, this indicates that investors desire a
higher rate of return for taking the increased risk of lending their money for a longer time period.
Many economists also believe that a steep positive curve means that investors expect strong future
economic growth with higher future inflation (and thus higher interest rates), and that a sharply inverted
curve means that investors expect sluggish economic growth with lower future inflation (and thus lower
interest rates). A flat curve generally indicates that investors are unsure about future economic growth and
inflation.
There are three central theories that attempt to explain why yield curves are shaped the way they are.
1. The "expectations theory" says that expectations of increasing short-term interest rates are what create a
normal curve (and vice versa).
2. The "liquidity preference hypothesis" says that investors always prefer the higher liquidity of short-
term debt and therefore any deviance from a normal curve will only prove to be a temporary phenomenon.
3. The "segmented market hypothesis" says that different investors adhere to specific maturity segments.
This means that the term structure of interest rates is a reflection of prevailing investment policies.
Because the term structure of interest rates is generally indicative of future interest rates, which are
indicative of an economy's expansion or contraction, yield curves and changes in these curves can provide
a great deal of information. In the 1990s, Duke University professor Campbell Harvey found that inverted
yield curves have preceeded the last five U.S. recessions.
Changes in the shape of the term structure of interest rates can also have an impact on portfolio returns by
making some bonds relatively more or less valuable compared to other bonds. These concepts are part of
what motivate analysts and investors to study the term structure of interest rates carefully.
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BONDS - BOND VALUATION
The fundamental principle of bond valuation is that the bond's value is equal to the present value of its
expected (future) cash flows. The valuation process involves the following three steps:
1. Estimate the expected cash flows.
2. Determine the appropriate interest rate or interest rates that should be used to discount the cash flows.
3. Calculate the present value of the expected cash flows found in step one by using the interest rate or
interest rates determined in step two.
Determining Appropriate Interest Rates
The minimum interest rate that an investor should accept is the yield for a risk-free bond (a Treasury bond
for a U.S. investor). The Treasury security that is most often used is the on-the-run issue because it reflects
the latest yields and is the most liquid.
For non-Treasury bonds, such as corporate bonds, the rate or yield that would be required would be the on-
the-run government security rate plus a premium that accounts for the additional risks that come with non-
Treasury bonds.
As for the maturity, an investor could just use the final maturity date of the issue compared to the Treasury
security. However, because each cash flow is unique in its timing, it would be better to use the maturity
that matches each of the individual cash flows.
Computing a Bond's Value
First, we need to find the present value (PV) of the bond's future cash flows. The present value is the
amount that would have to be invested today to generate that future cash flow. PV is dependent on the
timing of the cash flow and the interest rate used to calculate the present value. To figure out the value, the
PV of each individual cash flow must be found. Then, just add the figures together to determine the bond's
price.
PV at time T = expected cash flows in period T / (1 + I) to the T power
After you calculate the expected cash flows, you will need to add the individual cash flows:
Value = present value @ T1 + present value @ T2 + present value @Tn
Let's throw some numbers around to further illustrate this concept.
Example: The Value of a Bond
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Bond GHJ matures in five years with a coupon rate of 7% and a maturity value of $1,000. For simplicity's
sake, let's assume that the bond pays annually and the discount rate is 5%.
The cash flow for each of the years is as follows:
Year One = $70
Year Two = $70
Year Three = $70
Year Four = $70
Year Five = $1,070
Thus, the PV of the cash flows is as follows:
Year One = $70 / (1.05) to the 1st power = $66.67
Year Two = $70 / (1.05) to the 2nd power = $ 63.49
Year Three = $70 / (1.05) to the 3rd power = $ 60.47
Year Four = $70 / (1.05) to the 4th power = $ 57.59
Year Five = $1,070 / (1.05) to the 5th power = $ 838.3
Now to find the value of the bond:
Value = $66.67 + $63.49 + $60.47 + $57.59 + $838.37
Value = $1,086.59
How Does the Value of a Bond Change?
As rates increase or decrease, the discount rate that is used also changes. Let's change the discount rate in
the above example to 10% to see how it affects the bond's value.
Example: The Value of a Bond when Discount Rates Change
PV of the cash flows is:
Year One = $70 / (1.10) to the 1st power = $ 63.63
Year Two = $70 / (1.10) to the 2nd power = $ 57.85
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Year Three = $70 / (1.10) to the 3rd power = $ 52.63
Year Four = $70 / (1.10) to the 4th power = $ 47.81
Year Five = $1,070 / (1.10) to the 5th power = $ 664.60
Value = 63.63 + 57.85 + 52.63 + 47.81 + 664.60 = $ 886.52
1. As we can see from the above examples, an important property of PV is that for a given
discount rate, the older a cash flow value is, the lower its present value.
2. We can also compute the change in value from an increase in the discount rate used in our
example. The change = $1,086.59 - $886.52 = $200.07.
3. Another property of PV is that the higher the discount rate, the lower the value of a bond; the
lower the discount rate, the higher the value of the bond.
If the discount rate is higher than the coupon rate the PV will be less than par. If the discount rate is lower
than the coupon rate, the PV will be higher than par value.
How Does a Bond's Price Change as it Approaches its Maturity Date?
As a bond moves closer to its maturity date, its price will move closer to par. There are three possible
scenarios:
1. If a bond is at a premium, the price will decline over time toward its par value.
2. If a bond is at a discount, the price will increase over time toward its par value.
3. If a bond is at par, its price will remain the same.
To show how this works, let's use our original example of the 7% bond, but now let's assume that a year
has passed and the discount rate remains the same at 5%.
Example: Price Changes over Time
Let's compute the new value to see how the price moves closer to par. You should also be able to see how
the amount by which the bond price changes is attributed to it being closer to its maturity date.
PV of the cash flows is:
Year One = $70 / (1.05) to the 1st power = $66.67
Year Two = $70 / (1.05) to the 2nd power = $ 63.49
Year Three = $70 / (1.05) to the 3rd power = $ 60.47
Year Four = $1,070 / (1.05) to the 4th power = $880.29
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Value = $66.67 + $63.49 + $60.47 + $880.29 = $1,070.92
As the price of the bond decreases, it moves closer to its par value. The amount of change attributed to the
year's difference is $15.67.
An individual can also decompose the change that results when a bond approaches its maturity date and the
discount rate changes. This is accomplished by first taking the net change in the price that reflects the
change in maturity, then adding it to the change in the discount rate. The two figures should equal the
overall change in the bond's price.
Computing the Value of a Zero-coupon Bond
A zero-coupon bond may be the easiest of securities to value because there is only one cash flow - the
maturity value.
The formula to calculate the value of a zero coupon bond that matures N years from now is as follows:
Maturity value / (1 + I) to the power of the number of years * 2
Where I is the semi-annual discount rate.
Example: The Value of a Zero-Coupon Bond
For illustration purposes, let's look at a zero coupon with a maturity of three years and a maturity value of
$1,000 discounted at 7%.
I = 0.035 (.07 / 2)
N = 3
Value of a Zero-Coupon Bond
= $1,000 / (1.035) to the 6th power (3*2)
= $1,000 / 1.229255
= $813.50
Arbitrage-free Valuation Approach
Under a traditional approach to valuing a bond, it is typical to view the security as a single package
of cash flows, discounting the entire issue with one discount rate. Under the arbitrage-free valuation
approach, the issue is instead viewed as various zero-coupon bonds that should be valued individually and
added together to determine value. The reason this is the correct way to value a bond is that it does not
allow a risk-free profit to be generated by "stripping" the security and selling the parts at a higher price than
purchasing the security in the market.
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As an example, a five-year bond that pays semi-annual interest would have 11 separate cash flows
and would be valued using the appropriate yield on the curve that matches its maturity. So the markets
implement this approach by determining the theoretical rate the U.S. Treasury would have to pay on a zero-
coupon treasury for each maturity. The investor then determines the value of all the different payments
using the theoretical rate and adds them together. This zero-coupon rate is the Treasury spot rate.
The value of the bond based on the spot rates is the arbitrage-free value.
Determining Whether a Bond Is Under or Over Valued
What you need to be able to do is value a bond like we have done before using the more traditional
method of applying one discount rate to the security. The twist here, however, is that instead of using one
rate, you will use whatever rate the spot curve has that coordinates with the proper maturity. You will then
add the values up as you did previously to get the value of the bond.
You will then be given a market price to compare to the value that you derived from your work. If
the market price is above your figure, then the bond is undervalued and you should buy the issue. If the
market price is below your price, then the bond is overvalued and you should sell the issue.
How Bond Coupon Rates and Market Rates Affect Bond Price
If a bond's coupon rate is above the yield required by the market, the bond will trade above its par value
or at a premium. This will occur because investors will be willing to pay a higher price to achieve the
additional yield. As investors continue to buy the bond, the yield will decrease until it reaches market
equilibrium. Remember that as yields decrease, bond prices rise.
If a bond's coupon rate is below the yield required by the market, the bond will trade below its par
value or at a discount. This happens because investors will not buy this bond at par when other
issues are offering higher coupon rates, so yields will have to increase, which means the bond price
will drop to induce investors to purchase these bonds. Remember that as yields increase, bond
prices fall.