Efficient Market Hypothesis (EMH)

What are the implications of efficient market hypothesis (EMH) for investors who buy and sell stocks in an attempt to “beat” the market?



The Efficient Market Hypothesis (EMH) has implications for investors:

·  Rationality – imagine all investors rational, when new information is released in the market place, all investors will adjust their estimates of stock prices in rational way. For example, while FCC’s price $40, no one would now transact at that price. Anyone interested in selling would sell only at a price at least $45 (=$40 + 5). And anyone interested in buying would now be willing to pay up to $5. in other words, the price would rise by $5. Thus, perhaps it is too much to ask that all investors behave rationally, but the market will still be efficient if the following scenario holds.  

· Independent Deviations from Rationality – due to emotional resistance, investors could just as easily react to new information in a pessimistic manner. If investors were primarily this type, the stock price would likely rise less than market efficiency would predict. But suppose that about as many individuals were irrationally optimistic as were irrationally pessimistic. Prices would likely rise in a manner consistent with market efficiency, even though most investors would be classified as less than fully rational. Thus, market efficiency does not require rational individuals – only countervailing irrationalities. 

· Arbitrage – Imagine a world with two types of individuals: the irrational amateurs and the rational professional. Arbitrage is the word generates profit from the simultaneous purchase and sale of different, but substitute, securities. If the arbitrage of professionals dominates the speculation of amateurs, markets would still be efficient.

 
What are stock market anomalies with the context of an efficient market?

· Limits to arbitrage – behavioral finance suggest that there are limits to arbitrage. That is, an investors buying the overpriced assets and selling the underpriced assets does not have a sure thing. Deviations from parity could actually increase in the short run, implying losses for the arbitrageur.
· Earnings surprises – common sense suggest that prices should rise when earnings are reported to be higher than expected and prices should fall when the reverse occurs. However, market efficiency implies that prices will adjust immediately to the announcement, while behavioral finance would predict another pattern. Prices adjust slowly to the earning announcements, why do prices adjust slowly? Behavioral finance suggests that investors exhibit conservatism because they are slow to adjust to the information contained in the announcements.
· Size – in 1981, two important papers presented evidence that in the US, the returns on stocks with small market capitalizations were greater than the returns on stock with large market capitalizations over most of the 20th century.
· Value versus growth – a number of papers have argued that stocks with high book value – to – stock – price ratios and/or high earnings – to – price ratios (generally called value stocks) outperform stocks with low ratios (growth stock). Value stocks have outperformed growth stocks in each of market researched, but further research is needed.
·Crashes and bubbles – the stock market crash of October 19. 1987. The market dropped between 20% and 25% on Monday following a weekend. A drop magnitude for no apparent reasons is not consistent with market efficiency.  Perhaps stock market crashes are evidence consistence with bubble theory of speculative markets. That is, security prices sometimes move wildly above their true values. Eventually, prices fall back to their original level, causing great losses for investors.

Reference: Corporate Finance Book, Stephen A.Ross, Randolph W.Westerfield and Jeffrey Jaffe, Ninth Edition.

Decision by: NPV,IRR,Payback & After Tax Salvage Value

 - Before-


 Why is the NPV and IRR method a superior technique than the payback or ARR technique?

Both NPV and IRR use cash flows.
·   IRR – the number is internal or intrinsic to the project and does not depend on anything except the cash flows of the project.
·   IRR – in general is the rate that causes the NPV of the project to be zero.

NPV and IRR provide better decision.

· Accept a project if the NPV is greater than zero.
· Reject the project if NPV is less than zero.
· Accept the project if the IRR is greater than the discount rate (IRR>R).
· Reject the project if the IRR is less than the discount rate (IRR

- After -
 
If the NPV and IRR provide better decisions, why is the payback method a “popular” method?

Payback known as payback periods for making investment decision is simple, for example: a particular cut off sate, say two years, is selected. All investment projects that have payback periods of two years or less accepted and all of those that pay off in more than two years are rejected.

And payback method is often used when making relatively small decision, for example: manager might reason that a tune-up would cost $200, and if it saved $120 each year in reduced fuel cost, it would pay for itself in less than two years.
Why is the NPV method a better tool than the IRR method?

Because NPV has three attributes:
·   NPV uses cash flows – cash flows from a project can be used for other corporate purposes (such as dividend payments, other capital budgeting projects, or payments of corporate interest).
·   NPV uses all the cash flows of the project.
·   NPV discounts the cash flows properly.
Problem with IRR is when relate to Mutually Exclusive Project.


- After -



How do you find the after tax salvage value when the assets is not fully depreciated?

The after tax salvage value of the equipment – a cash inflow to the company. When selling an asset, one must pay taxes on the difference between the asset’s ales price and its book value. For example:
·Selling price at the end of year 5                       $30,000
·Book value at the end of the fifth year               $5,800
·Tax rate                                                          34%
·Tax liability                     34% ($30,000 - $5,800) = $8,228
·The after tax salvage value      $30,000 - $8,228 = $21,772 (cash inflow to company)

When assets is not fully depreciated, to find the after tax salvage value is still the same as above. The “accumulated depreciation” of assets must be find to get the book value of assets at the time assets sold, for example:
Book value of assets = Assets – Accumulated Depreciation of Assets


What is the Equivalent Annual Cost (EAC) and how do you use it?

EAC is an approach puts costs on a per year basis for each different machine. For example, a firm must choose between two machines of unequal lives. Both machines can do the same job, but they have different operating cost and will last for different time periods.
For example:
Machine                      0              1              2              3              4
A     : cash flows         $500       $120       $120       $120
A     : EAC                                      321.05   321.05   321.05
B     : cash flows         $600       $100       $100       $100       $100
B     : EAC                                      289.28   289.28   289.28   289.28

How to use it;
·  EAC can be used to compare cost between two machines; Would rather make lease payments of $321.05 or $281.28? a rational person would rather pay a lower amount. Thus machine B is preferred.
· EAC applies only for one anticipates that both machines can be replaced.

Reference:  Chapter 9, Corporate Finance Book, Stephen A.Ross, Randolph W.Westerfield and Jeffrey Jaffe, Ninth Edition.

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comparing mutually exclusive projects

Comparing Mutually Exclusive Projects – Hagar industrial systems Company (HISC) is trying to decide between two different conveyor belt systems.  System A cost $360,000, has a four – year life, and requires $105,000 in pretax annual operating cost. System B costs $480,000, has a six year life, and requires $65,000 in pretax  annual operating costs. Both systems are to be depreciated straight – line to zero over their lives and will have zero salvage value. Whichever system is chosen, it will not be replaced when it wears out. If the tax rate is 34 percent and the discount rate is 11 percent, which system should the firm choose?


If we are trying to decide between two projects that will not be replaced when they wear out, the proper capital budgeting method to use is NPV.  Both projects only has costs associated with them, not sales, so we will use these to calculate the NPV of each project. Using the tax shield approach to calculate the OCF, the NPV of system A is:
OCFA = -$105,000(1-0.34) + 0.34($360,000/4)
OCFA = - $38,700

NPVA = - $360,000 - $38,700 (PVIFA11%,4)
NPVA = - $ 480,064.65

And the NPV of system B is:

OCFB = -$65,000 (1 – 0.34)  + 0.34($480,000/6)
OCFB = -$15,700

NPVB = - $480,000 - $15,700(PVIFA11%,6)
NPVB = -$546,419.44

If the system will not be replaced when it wears out, then system A should be chosen, because it has the less negative NPV.


Comparing Mutually Exclusive Projects – Suppose in the previous problem that HISC always needs a conveyor belt system; when one wears out, it must be replaced. Which system should the firm choose now? 


If the equipment will be replaced at the end of its useful life, the correct capital budgeting techniques is EAC. Using the NPVs we calculated in the previous problems, the EAC for each system is:

EACA = - $ 480, 064.64 / (PVIFA11%,4)
EACA = -$154, 737.49

EACB = -$546,419.44 / (PVIFA11%,6)
EACB = - $129,160.75

If the conveyor belt system will be continually replaced, we should choose system B since it has the last negative EAC.


Comparing Mutually Exclusive Projects – Vandalay Industries is considering the purchase of a new machine for the production of latex. Machine A costs $2,400,000 and will last for six years. Variable costs are 35 percent of sales, and fixed costs are $180,000 per year.  Machine B costs $5,400,000 and will last for nine years. Variable costs for this machine are 30 percent and fixed cost are $110,000 per year. The sales for each machine will be $10,5 million per year. The required return is 10 percent and the tax rate is 35 percent. Both machines will be depreciated on a straight – line basis. If the company plants to replace the machine when it wears out on a perpetual basis, which machine should you choose?    




Since we need to calculate the EAC for each machine, sales are irrelevant. EAC only uses the costs of operating the equipment, not the sales. Using the bottom – up approach, or net income plus depreciation, method to calculate the OCF, we get:


 machine A

 machine B
variable costs
           - $3,675,000

           -$3.150.000
fixed costs
               -180.000

               -180.000
depreciation
               -400.000

               -600.000
EBT
            -$4.255.000

            -$3.860.000
tax
               1.489.250

                1.351.000
net income
            -$2.765.750

            -$2.509.000
depreciation
               400.000

               600.000
OCF
            -$2.365.750

            -$1.909.000



The NPV and EAC for machine A is:


NPVA = -$2,400,000 - $2,365,750(PVIFA10%,6)

NPVA = -$12,703,458.00



EACA = -$12,703,458.00 / (PVIFA10%,6)

EACA = -$2,916, 807.71



And The NPV and EAC for machine B is:


NPVB = - $5,400,000 - $1,909,000 (PVIFA10%,9)

NPVB = -$16,393,976.47



EACB = -$16,393,976.47 / (PVIFA10%,6)

EACB= -$2,846, 658.91



You should choose machine B since it has a less negative EAC.


Reference: Corporate Finance Book, Stephen A.Ross, Randolph W.Westerfield and Jeffrey Jaffe, Ninth Edition. Chapter 5, questions number 12,13,14, page 196 - 197