# Capital Asset Pricing Model

Definition – Capital Asset Pricing Model (CAPM)

Capital Assets Pricing Model or properly known as CAPM is a statistical model that describes the relationship between the risk and expected return for assets or individual stocks. CAPM is one of the most prominent models used in determining the relationship between the expected return and the market risk or systematic risk.

CAPM is widely adopted by the finance industry for pricing risky securities while generating expected rate on returns on those securities by considering the associated systematic risk or the diversifiable risk.

Apart from that, CAPM is also extensively used to calculate the cost of capital or in particular, the cost of common equity in capital budgeting.

## Expected Return on Market

In general, the expected return on market is the total of risk-free rate and a risk premium, i.e., some extra return for the risk innate in the market portfolio.

Where RM = Market risk

Rf = Risk-free rate

In general, as investors want excess return for risk, the risk premium is usually positive. But to find out how positive and to calculate it, the first place to look for it is in the average of the risk premium in the past.

Suppose that the average risk premium for a market is 10 per cent in the last five years and the current risk-free rate is 5 per cent, benchmarked  to the current yield on a short term government bond, the expected return of the market would be:

Rm = 5% + 10%

Having understood the expected return on the market is, we will understand the expected return on individual securities or to the CAPM model.

## Expected Return on Individual Security

For understanding the expected return of individual security, one needs to be familiar with the concept of beta, which makes up a very crucial part of the CAPM model. So, what is beta?

Beta is defined as the return sensitivity of a stock with respect to the change in the market return, or it could also be defined as the correlation between the expected return of an single asset/security w.r.t the expected return of the market.

## CAPM Formula

The formula for the CAPM model is

Where,

Re = Expected return on a security

Rf = Risk-free rate

Rm = Expected return on market

β = Stock beta

Rm – Rf = Equity risk premium

The above formula entails that the expected return on a security is directly related to its β, and as the average return on the market remains greater than the average risk-free rate, the last part of the equation remains positive.

## Calculating Expected Return on an Individual Stock and A Portfolio

Suppose we have two companies in our portfolio, i.e., Company A and Company B with the following attributes

 Company Risk-Free Rate Expected Market Return Beta Company A 3% 11% 1.5 Company B 3% 11% 0.7

Expected return on Company A using CAPM would be

i.e., 15.0%

Likewise, the expected return on Company B would be

i.e., 8.6%

Now imagine a portfolio containing the stock of both the Company A and Company B, what would be the expected return on the portfolio?

To calculate the return on the portfolio (expected), we first need to find the portfolio beta.

Thus, the weighted average beta of the portfolio would be

i.e., 1.1

So, the expected return on the portfolio would be

Rep = 3% + 1.1 (8%)

i.e., 11.8%

## Estimating Beta and The Equity Risk Premium

Market model regression of the stock return against the market returns over a pre-determined time period is one method commonly used to estimate a stock’s beta.

Where a is the estimated intercept, and b is the estimated slope of the regression that is used as an estimate of beta. Rst is the return of the stock over the time period t while Rmt is the market return over the time period t.

The derivation of beta is sensitive to the following measures

• Estimation period.
• Periodicity of the return interval.
• Selection of an appropriate market index to fathom the market return.
• Use of a smoothing technique.
• Adjustments for the market capitalisation of the stock.

The estimation of the equity risk premium takes many approaches, including

• Historical equity risk premium approach

It is a well-established approach that assumes that the equity premium noted over a larger time frame is a good gauge of the anticipated equity risk premium.

• Dividend discount model-based approach

The dividend discount model-based approach or the  implied-risk premium approach derives the premium by analysing how the market prices an index, one can use the correlation between the value of an index and projected dividends. Thus, assuming a constant growth in dividends:

So, the required rate of return on the market could be calculated by rearranging the above equation as below:

So, if the anticipated dividend yield on the index is 10 % and the projected growth rate of dividends is 5 per cent, the projected return on the market would be 15%.

Growth rate can be calculated either by the use of projected growth rate from a vendor or to use a the retention rate, growth rate, and the return on equity relationship as below:

Where D/EPS would be your dividend payout ratio (1 – dividend payout ratio = retention rate), and ROE is the return on equity.

So, if a company has a retention rate of 70 per cent and an ROE of 12 per cent, the dividend growth rate would be 8.4%.

What is an Absolute Advantage? Absolute advantage is one of the key macroeconomic terms, which is based on the principles of Capitalism and is often utilised in international trade-related decisions. Absolute advantage refers to the competence of a company, region or country to produce goods or services in an efficient manner compared to any other economic entity. The efficiency in production can be achieved by: Production of the same quantity of good or services as produced by other entity by utilising fewer amount of resources Production of a higher quantity of good or services as produced by other entity by using the same amount of resources What is the Significance of Absolute Advantage? Different countries or businesses possess a different set of ability owing to their location, soil composition, weather, infrastructure, or human resource skills. When applied in the right direction, various factors may pan out to offer more cost-effectiveness and hence build absolute advantage of the entity in comparison to others.  The absolute advantage remains one of the critical determinants for the choice of the goods or services to be produced. Absolute advantage in a particular area often translates into profitability in the area. The profit margin increases by the achievement of cost efficiency, allowing the entity to ensure higher profitability over the competitors.  For example, let us assume that the US can produce ten high-quality aircrafts utilising a specific amount of resources. China, on the other hand, can build 6 similar quality aircrafts using the same amount of resources. Thus, in the production of an aircraft, the US holds Absolute Advantage Let’s say the US has the ability to manufacture a certain amount of steel using 10 tonnes of iron ore. China, on the other hand, can produce the same quantity of steel using 8 tonnes of iron ore.Here, China here holds Absolute Advantage in the production of steel.  How Countries Build Absolute Advantage? While natural conditions, which include climatic factors, geometry, topography, cannot be altered for achieving absolute advantage, the countries use the underlying factors strategically in their favour. Furthermore, factors of production are focused at by many companies or nations for building absolute advantages.  Some of the strategies for building absolute advantage includes: Development of Technological Competencies- The implementation of innovative or latest technological innovations allows the entities to lower their production cost, facilitating absolute advantage.  Enhancing Skills of Human Resources- The improvement in the cost-efficiency, along with the quality of the products, is targeted through imparting varying skill development programs. Many countries subsidize or aid the apprentice or labour training for enhancing the absolute advantage in trade.  Improving Infrastructure- The infrastructure enhancement in the form of road, telecommunications, ports, etc. can be useful in enhancing the cost-effectiveness across different industries.  What Do We Understand by Comparative Advantage Vs Absolute Advantage? Evaluating the comparative advantage introduces the concept of opportunity cost, which is the deciding factor to determine the production of particular goods or services. Opportunity cost refers to the potential benefits associated with the next best possible alternative which is missed out when one option is chosen over another.  The Absolute advantage simply considers the capability of a business or region to deliver goods or services in the most efficient manner. The Comparative Advantage, however, also takes into account the benefits that are forgone if an entity decides for production of a particular product or services.  Comparative advantage, based on the notion of mutual benefits, is often used in international trade deals. The Comparative advantage has been the major factor driving the outsourcing of services in search of cheap labour.  Understanding through an Example For instance, country A can produce ten televisions with the same amount of resources with which it can make 7 laptops. The opportunity cost per television is 7/10 or 0.7 laptops. Meanwhile, the opportunity cost per laptop is 10/7 or 1.42 television.  It highlights that country A is forsaking the production of 0.7 laptops if it is deciding to manufacture one television. On the other hand, it is missing out the opportunity to manufacture 1.42 televisions for every single laptop manufactured.  Now, say Country B’s opportunity cost for producing a television is 0.5 laptop, and that of producing laptop is 2 televisions. Then, country B will have a comparative advantage in making televisions, and country A will have comparative advantage in producing laptops. It has to be noted that despite country A having absolute advantages in both the products, it would be mutually beneficial for both the countries if country B produces television while country A produces laptops. Do You Know About Absolute Advantage Theory by Adam Smith? The concept of Absolute Advantage was indicated by Adam Smith in his book called ‘Wealth of Nations’ which focusses on International trade theory. Adam Smith, in his book attacked on the previous mercantilism theory, which mainly stressed for economies to maintain trade surplus in order to command power.  The Absolute Advantage theory considered that the countries possess different ability with respect to the production of varying goods or services. It argued that it is not necessary that a state may hold an absolute advantage in the production of all goods, and here the relevance of trade comes into play.  It advocates that countries should produce those goods over which they hold a competitive advantage. It would allow the countries to make the same amount of goods using few resources or in less time. The theory propagates the relevance of trade for economic sustainability.  What Are the Limitations of the Absolute Advantage Theory? The assumptions used in the Absolute Advantage Theory by Adam Smith may limit the application in real bilateral trade. The limitations of the theory by Adam Smith include: Smith assumed that the productive capabilities of a country could not be transferred between the two countries. However, in practical terms, the competitive scenario aids the nations to acquire new capabilities and acquire new resources, especially in the technological and human resource skill aspects.  The two-country trade which was used as a basis for the theory does not consider the trade barriers levied. The present scenario, however, is strikingly dominated by trade wars between economies. Nations impose huge tariffs, import duties and other type of barriers to promote local manufacturers.  Absolute Advantage theory assumes that the trade between the two nations will take place only if each of the two economies holds an absolute advantage in one of the commodities traded. However, in general, countries despite not holding absolute advantage are engrossed in international trade, boosting their economic setup.

In the recent past, the absolute return approach of Investing has turned out to be one of the fastest-growing investment strategies worldwide. A lot of financial advisors talk about such investments providing absolute returns. So, what exactly are the “Absolute Returns” and are they are promising? What is meant by Absolute return? Absolute return computes the increase or decrease, in an asset over a period of time, as a proportion of the original investment amount. The focus here is only on that specific asset or portfolio and not related market events. Absolute returns only consider the price movement for any specified time period. Absolute return, reckons an investment’s performance without considering the expanse of time for which investment was committed. Absolute returns can be computed for a quarter, semi- annual, annual period, 3-year duration or more. Absolute Returns are independent of Market movements and thus do not draw relative comparisons. It is one of the most commonly used investment performance metric in Hedge Funds and Mutual Funds. How to compute Absolute return? Suppose an investor Mr. Rich, invested AUD 50,000 5 years back, and the current value of his investment is AUD 75,000. The Absolute return on Mr. Rich’s investment would be 50 %, calculated using- Copyright © 2021 Kalkine Media Pty Ltd Copyright © 2021 Kalkine Media Pty Ltd So, Copyright © 2021 Kalkine Media Pty Ltd Absolute returns are just returns from point of time to other. The notion of an 'absolute return' seems very attractive to get investors’ attention as it ignores the relative market movement and promises an appreciation with zero correlation to markets. Anyhow, Absolute Return technique of computing investment yields is an apt way of calculating return on investment, predominantly in the early stages. There are numerous other types of return metrics an investor can look for later on. Major 4 types mattering most to investors being –  Absolute Return, Relative Return, Total Return & CAGR. What is the difference between Absolute Return, Relative Return, Total Return & CAGR? Absolute return refers to the gain/ loss in a single investment asset/ portfolio but to comprehend how their investments are acting relative to various market yardsticks, relative return is taken into consideration.   Relative return is the excess or deficit an asset achieves over a timeframe matched to a market index. Benchmark Return – Absolute return, gives the Relative return also called sometimes as alpha. Example, if S&P index gives a 10% return during a given period and one’s investment portfolio gives an absolute return of 12% then relative return on investment is positive/ excess 2%. Total returns take into account the effect of intermittent incomes as well as dividends. For example, in an equity investment of AUD 200 having current value AUD 240, the company also declares a dividend of AUD 10 during the year. Total returns will take into account this \$10 dividend too. Thus, Total returns on the investment of AUD 200 now will be 25.00% = {(240+10-200)/200} x 100 Absolute and Total returns are easy to calculate as performance metrics, but the real challenge is when comparisons are drawn based on time period of return. Here comes in CAGR, it takes into account the term of the investment too, thus giving a more correct and comparable picture. It is computed as: CAGR (%) = Absolute Return / Investment period (equated in years) Consider for example, two investment options: One where investor earns absolute returns of 10% in 24 months and another where investor earns 5% absolute returns in 9-month duration. So, CAGR would be- For option one: CAGR = 5.00% i.e.  10%/2 (24 months/12 months is equals to 2 years) For option two: CAGR = 6.66% i.e. 5%/0.75 (9 months/12 months is equals to 0.75 years) What’s wrong with just measuring investment performance using Absolute Returns? Absolute returns will only tell an investor how much his/her investments grew by; they do not tell anything about the speed at which investments grew. When people talk about their real estate investments and say, “I bought that house for X in the year 2004. It’s worth 4X today! It has quadrupled in 17 years.” This is an application of absolute return. The drawback here is that it takes into account only the capital appreciation and doesn’t draw comparison with options having different time horizons. Investors can rely on this measure of investment performance only if they are looking for higher returns, without bothering how fast they were generated. Absolute return also doesn’t convey much about an investment compared to relative markets. Then, why do Hedge Fund/ Mutual Fund Managers choose an Investment strategy based on Absolute returns? Absolute returns should be used at times when investors are willing to shoulder some risk in exchange for a prospective to earn excess returns. This is irrespective of the timeframe and Fund administrators who measure portfolio performance in relation of an absolute return typically aim to develop a portfolio that is spread across asset categories, topography, and economic phases. They are looking for below mentioned points in their portfolios- Positive returns- An absolute returns approach of investment targets at producing positive returns at all costs, irrespective of the upside & downside market movements. Independent of yardsticks- The returns are in absolute terms and not in comparison to a benchmark yield or a market index. Diversification of portfolio- With the intention of distribution of risk, among different investment options producing positive returns in diverse ways a mixed bag of absolute return assets give a diversified investment portfolio. Less volatility- The total risk of investment is spread across the different asset held in such a portfolio. Ensuring less overall volatility in collective returns. Actively adjustable to market movements– Usually, investments look for positive returns with zero market correlation. Market shares a negative correlation with absolute return investments and vice versa. In any investment atmosphere, there are varied investment strategies and goals. Absolute return investment strategies are looking to avoid systemic risks using unconventional assets and derivatives, short selling, arbitrage and leverage. It is appropriate for investors who are prepared to bear risk for short and long-term gains.

What is accounts payable? Accounts Payable (AP) is an obligation that an individual or a company has to fulfill for purchasing goods and services bought from their suppliers and vendors. AP refers to the amount that is not paid upfront and can be paid back in a short period of time. Hence, a good or a service purchased on credit to be paid in a short period will fall under AP. For individuals, AP may include the bill paid after availing services such as television network, electricity, internet connection, or telephone. Most of the time, the bill is generated after the designated billing period, depending upon the amount of consumption. The customers have to pay this obligation within a stipulated time to avoid default. What is accounts payable from a Company’s point of View? AP is the amount of money a company is liable to pay to its suppliers or vendors and clear dues for purchases of goods and services purchased from its suppliers or vendors. AP is required to be repaid in a short period, depending on the relationship with suppliers. It is essentially a kind of short-term debt, which is necessary to honour to prevent default. As the current liabilities of the company, AP is required to be settled over the next twelve months. It is presented in the balance sheet as the account payable balance. For example, Entity A buys goods from Entity B for US\$400,000.00 on Credit. Entity A has to pay back this amount within 60 days. Entity A will record US\$400,000.00 as AP while Entity B will record the same amount as Account receivable. AP is also a part of the cash flow statement. The change in the total AP over a period is shown in the cash flow statement, hence it is part of the company’s working capital. It is widely used in analysing the cash flow of the business and cash flow trends over a period. AP may also depict the bargaining power of the company with its vendor and suppliers. A vendor or supplier may give the customer a longer credit period to settle the cash compared to other customers. The customer here is the company, which will incur AP after buying goods on credit from the vendor. There could be many reasons why the vendor is providing a more extended credit period to the firm such as long-term relationship, bargaining power of the firm, strategic needs of the vendor, the scale of goods or services. By maintaining a more extended repayment period to supplier and shorter cash realisation period from the customer, the company would be able to improve the working capital cycle and need funds to support the business-as-usual. However, prudent working capital management calls for not overtly stretching the payable days as it might lead to dissatisfaction of supplier. Also, investors tend to closely watch the payable days cycle to determine the financial health of the business. When the financial conditions of a firm deteriorate, the management tends to delay the payment to their suppliers. Why accounts payable is an important part of Balance sheet and Cash Flow Statement? As inferred from the previous paragraphs, AP is part of the current liabilities of the balance sheet. This is an obligatory debt that has to be paid back within a time frame so that the company does not default. AP primarily consists of payments to be made to suppliers. If AP keeps on increasing over a period of time, it can be said that the company is purchasing goods or services on credit more, instead of paying up front. If AP decreases, it means the company is reducing its previous debts more than it is buying goods on credit. Managing AP is essential to have a stable cash flow. In a cash flow statement prepared through an indirect method, the net difference in AP is shown under cash flow from operating activities. The business entity can use AP to create the desired variation in the cash flow to some extent. For example, to increase cash reserves, management can increase the duration of paying back the credit taken for a certain period, thus affecting the net difference in AP. What Is the Role of Accounts Payable Department? Every company has an accounts payable department and the size and structure depend upon how big or small the enterprise is. The AP department is formed based on the estimated number of suppliers, vendors, and service providers the company is expected to interact with; the amount of payment volume that would be processed in a given period of time; and the nature of reports that a management will require. For example, a tiny firm with a low volume of purchase transactions may require a simple or a basic accounts payable process.  However, a medium or a large enterprise may have a accounts payable department that may require a set of practices to be followed before paying back the credit. What is the Accounts Payable Process? Guidelines or a process is important as it provides transparency and smoothness in facilitating the volume of transactions in any time period.  The process involves: Bill receipt: when goods were bought, a bill records the quantity of goods received and the amount that needs to be paid to the vendors. Assessing the bill details: to ensure that the bill or invoice copy includes the name of the vendor, authorization, date of the purchase made and to verify the requirements regarding the purchase order. Updating book of records after the bill is collected: Ledger accounts need to be revised on the basis of bills received. The department makes an expense entry after taking approval from management. Timely payment processing: the department takes care of all payments that need to be processed on or before their due date as mentioned on a bill. The department prepares and verifies all the required documents. All details entered on the cheque along with bank account details of the vendor, payment vouchers, the purchase order, and the original bill and purchase order are scrutinized. The department also takes care of the safety of the company’s cash and assets and prevents: reimbursing a fake invoice reimbursing an incorrect invoice making double payment of the same vendor invoice Apart from making supplier payments, AP departments also takes care of travel expenses, making internal payments, maintaining records of vendor payments, and reducing costs Business Travel Expenses: Bigger entities or firms whose business nature requires all personnel to travel, have their AP department manage their travel costs. The AP department manages the personnel’s travel by making advance payments to travel companies including airlines and car rentals and making hotel reservations. An account payable department may also deals with requests and fund distribution to cover travel costs. After business travel, AP may also be responsible for settling funds supplied versus actual funds spent. Internal Payments: The Accounts Payable department takes care of internal reimbursement payments distribution, controlling and petty cash controlling and administering, and controlling sales tax exemption certificates distribution. Internal reimbursement payments include receipts or both substantiate reimbursement requests. Petty cash controlling and administering includes petty expenses such as out-of-pocket office supplies or miscellaneous postage, company meeting lunch. Sales tax exemption certificates comprise AP department handling sales tax exemption certificates supply to managers to make sure qualifying business purchases excludes sales tax expense. Maintaining Records of Vendor Payments: Accounts Payable maintains information of vendor contact, terms of payment and information of Internal Revenue Service W-9 either manually or on a computer database. The AP department lets management know through reports on how much the business owes at present. Other Functions: The accounts payable department is also responsible to lessen costs by identifying cost structures and creating strategies to reduce the spending of business money. For example, minimising cost by making payment of the invoice within a discount period. The AP department also acts as a direct point of contact between an entity and the vendor. How to Calculate Accounts Payable in Financial Modelling Financial modelling enables calculating the average number of days a company takes to make bill payments. AP days can be calculated using the following formula: AP value can be calculated using the following formula: What is accounts payable turnover ratio? AP turnover ratio shows the capability of a firm to pay cash to its customer after credit purchases. It is counted as an essential ratio to analyse the cash management attribute of the firm and its relationship with vendors or suppliers. It is calculated by dividing purchases by average AP. Purchases by the company are calculated as the sum of the cost of sales and net inventory in a given period: Now let’s understand this with the help of an example. Let us suppose, Cost of sales of Company XYZ for the period was \$60,000, and XYZ began with inventories worth \$21000 and ended at \$15000. AP at the beginning was \$20000, and \$15000 at the end. Now the purchases will be \$66000 (60000+21000-15000). The average AP will be \$17500. Therefore, the AP turnover ratio will be 3.77x. Dividing the number of weeks in a year by the AP turnover ratio will give the number of weeks the company takes on average to settle its payables. In this case, it will be around 13.8 weeks (52/3.77). What is the difference between Accounts Payable vs. Trade Payables? Though the phrases "accounts payable" and "trade payables" are used interchangeably, the phrases have slight differences. Trade payables is the cash that a company is obligated to pay to its vendors for goods and supplies which are part of the inventory. Accounts payable include all of the short-term debts or obligations of a company.

Accounts receivable financing is a method of selling accounts receivables to obtain cash for the company's operations. Accounts receivable is one of the liquid assets and can be tracked using the quick ratio.

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