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INTERDISCIPLINARY JOURNAL OF CONTEMPORARY RESEARCH IN BUSINESS<br />

COPY RIGHT © 2012 Institute <strong>of</strong> Interdisciplinary Business Research<br />

APRIL 2012<br />

VOL 3, NO 12<br />

opportunities that optimistic people lose because <strong>of</strong> the traditional models. So long as there is the possibility <strong>of</strong><br />

<strong>using</strong> arbitrage pr<strong>of</strong>it, the <strong>market</strong> will not be efficient and as long as there is discussions such …., There will be<br />

such opportunities.<br />

2. Literature<br />

From the early twenties century, the beliefs <strong>of</strong> some <strong>of</strong> securities stock <strong>market</strong> agents was that the<br />

historical study <strong>of</strong> prices contains useful information to predict future prices, so get with the price trend, changes<br />

patterns are recognized and tells us that <strong>of</strong>ten special trend will happen. Believer <strong>of</strong> this idea called on Chartists,<br />

because they focused on the charts ( Sinaie, 5:1373). The fundamental analysis was not required in this school<br />

and its supporters believed that the history is repeated ( Fisher & Jordan, 635:1991).<br />

From 1930s, other studies is started on the opposite views, the principal attention <strong>of</strong> these researches was<br />

on the being random <strong>of</strong> prices behaviors, and that the prices don not follow special trend. The results <strong>of</strong> the<br />

studies as an strong intellectual and the random behavior <strong>of</strong> prices was formed (Sinaie, 50:1993).<br />

Through experimental tests, the random walk school through empirical test proved that successive price<br />

changes in short term, such a day, a week or a month, is independent <strong>of</strong> each other (Fisher & Jordan, 635:1991).<br />

After the 1960s, investigation <strong>of</strong> the statistical form <strong>of</strong> prices behavior led to the problem <strong>of</strong> economic<br />

characteristics <strong>of</strong> the stock <strong>market</strong>, which in turn, led to random changes. This rise <strong>efficiency</strong> <strong>market</strong> idea (<br />

Sinaie, 50:1992). Fundamentalists believe that an analysis <strong>of</strong> key economic and financial variables (actual value<br />

<strong>of</strong> stock) can be rought into contribution (Fisher & Jordan, 635:1991). According to this belief anyone can not<br />

gain return systematically more than the risk that accepted in long term. In such <strong>market</strong>, the stock price is a<br />

reflection <strong>of</strong> related information and the price changes have not special approach and is not predictable ( Fadaie<br />

Nejad, 7:1996).<br />

Being an efficient <strong>market</strong> is very important, because being an efficient <strong>capital</strong> <strong>market</strong>, stock prices are set<br />

properly and fairly in one hand, and the allocation <strong>of</strong> <strong>capital</strong> , which is the most important factor <strong>of</strong> production<br />

and economic development, in other hand, done well and <strong>efficiency</strong> (Jahankhany & Abdeh Tabrizi, 7:1993).<br />

Some financial economists have examined the stock <strong>market</strong> <strong>efficiency</strong> through the pricing mechanism <strong>of</strong><br />

arbitrage, return creation devices and then they investigated risk relationship with return in securities stock<br />

<strong>market</strong>. They investigated the available patterns related to the process <strong>of</strong> return creation and risk relationship<br />

with return and introduced different factors as exogenous variables. In the following section, the theoretical<br />

model <strong>of</strong> pricing theory and also its test in Tehran stock security is investigated.<br />

2-1. Providing the arbitrage pricing models<br />

Arbitrage pricing theory is a new and different approach in determining <strong>of</strong> assets price and try to identify<br />

out- <strong>of</strong>- <strong>market</strong> factors that can impact on the securities. This theory relies on the law <strong>of</strong> one price, i.e. we cannot<br />

sold similar items with different prices in <strong>market</strong>. Risks associated with equity, arising from two sources. The<br />

first sources <strong>of</strong> risk are macroeconomic factors on the property distributed in the <strong>market</strong> and you can not destroy<br />

it with diversity. The second source <strong>of</strong> risk is the individual characteristic element. This element is unique to<br />

each <strong>of</strong> the securities and pricing theory can create diversification in portfolio based on arbitrage. So in an<br />

efficient <strong>market</strong>s, the risk is related only with systematic factors (macroeconomic), ( Vatshym & Paramur,<br />

1997).<br />

Introduction <strong>of</strong> arbitrage pricing model (APT)<br />

Suppose that two-factor model explain the process <strong>of</strong> stock returns (Elton & Kraber, 372-369:1955).<br />

Ri=ai + bi1 F1 + bi2F2 … +Fjei 2<br />

ai , bi1 , … , bik are fixed values <strong>of</strong> securities ( bij can be interpreted as sensitivity <strong>of</strong> agent i to j; Ri= stock<br />

returns; ei= error term with zero mean and fixed variance, and Fi represents the return <strong>of</strong> j factor ( to ease the<br />

element <strong>of</strong> time has been deleted).<br />

Supposed that co ( ei,ej)= 0 , co ( ei,fj)= 0, when i j, means that the error <strong>of</strong> any share or any phrase is<br />

uncorrelated with the error <strong>of</strong> the share.<br />

Investor who has a full range <strong>of</strong> portfolio, residual risk tend to zero and any systematic risk will be<br />

important. In this case, only the terms in the equation will affect the portfolios systematic risk are bik, bi1.<br />

So all <strong>of</strong> the investments and portfolios should be located on a page in bik, bi1 in The expected return space.<br />

If portfolio be above or below the page, there will be an opportunity for arbitrage without risk. Arbitrage will<br />

continue until the entire investments in a page are consistent. So risk balance equation and the return <strong>of</strong> a page<br />

in expected return space and bin, bi1 are :<br />

Ri=<br />

It is noteworthy that financial report ( ) or increasing in expected return for all units is bi1. So ,<br />

are the resulting return due to risk tolerance related to the first and nth factor. So, F is the same as financial<br />

report.<br />

52

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