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The Capital Asset Pricing Model

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In 1990 Harry Markowitz, Merton Miller, and William Sharpe shared the first Nobel Prize in the very young area of financial economics. The Nobel committee recognized Harry Markowitz for developing portofolio theory, Miller for the theory of corporate finance, and Sharpe for the Capital Asset (stock market) Pricing Model also known as CAPM.



CAPM was the crowning acheivment of theoretical economists bent on proving that markets are efficient and work together mathematically with the precision and elegance of a Rolex watch. In the 1980s, researching financial economists began to notice a slew of empirical results that are not consistent with the view that stock market returns were determined in accordance with CAPM and stock market efficiency.

It is useful for you to understand what CAPM is because you will read or hear about it as you progress as a stock market investor. CAPM is a regression model designed to separate out the general stock market price changes from price changes specific to a given stock. The general stock market price change is called unsystematic risk. An investor can get the same return as the general stock market buying a mutual fund that is indexed to the stock market such as the Vanguard 500 fund (symbol VFINX). For this reason the amount of profit you receive on a specific stock that is as much as the stock market indexes is said to not be priced into the stock in terms of the risk you are taking.

The amount you make or lose on a given stock as compared to the stock market averages is considered to be priced by investors to compensate for the additional risk you take in buying stock in a single company instead of a fund indexed to the stock market. The profit or loss that you receive as compared to the stock market is called systematic risk. The capital asset pricing model measures systematic risk with a regression coefficient called beta. When I talk about beta now you know what it is; it is nothing more than a measure of additional potential return an investor should receive for purchasing a single stock based on how risky that stock is. I want to emphasize that CAPM is based on the notion that the stock market efficiently translates all information known about the stock market into stock prices for stock investing purposes.
The Capital Asset Pricing Model
Profit analysis.

?Microeconomic theory suggests that as output increases, the marginal cost (MC) per unit might rise (due to the low of diminishing returns) and whenever the firm is faced with a downward sloping demand curve, the marginal revenue (MR) per unit will decline.

?Eventually, a level of output will be reached where the extra cost of marking one extra unit of output is greater than the extra revenue obtained from its sale. It would then be unprofitable to make and sell that extra unit

?Profits will continue to be maximized only up to the output level where (mc) has risen to be exactly equal to MR.

?Profit are maximized at the point where MC = MR, at a volume of Qn units.

?If we add a demand or average revenue curve to the graph we can see that an output level of qn, the sales price per unit would be pn.

Deriving demand curve

?When there is a linear relationship between demand and price, the equation for the demand curve is

P = a ? BQ / Q

Where

p = the price

Q = the quantity demanded

A = the price at which demand would be nil

B = the amount by which the price changes for each stepped change in demand

Q = the stepped change in demand

A=(current price)+(current quantity at current price/charge in quantity when price in charged by$)X$B

The demand function above shows how price (P) varies with quentity (Q).Alternatively you can always rearrange the equation to show how the quentity sold varies with the price chargeed.

Optimum pricing in practice .

The approach of optimal pricing with its prediction of a single predictable equilibrium price is important in economics. However in practice organizations rarely use the technique. The problems in applying optimal pricing occur for the following reasons.

?It assumes that the demand curve and total costs can be identified with certainty. This is unlikely to be so.

?It ignores the market research costs associated with acquiring knowledge of demand.

?It assumes the firm has no productive constraint which could mean that the equilibrium point between supply and demand cannot be reached.

?It assumes that the organization wishes to maximize profits. In fact it may have other objectives.

?It assumes that price is the only influence on quantity demanded . we have seen that this is for from the case.
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