### Measuring THE INVESTMENT PERFORMANCE OF BERKSHIRE HATHAWAY Inc.

### The background of Berkshire Hathaway Inc. :

Oliver Chance had established Berkshire Hathaway, which was ab initio originated from a fabric fabricating company named as the Valley Falls Company. The first fabric factory founded by him was in 1806. “In 1929 the Valley Falls Company merged with the Berkshire Cotton Manufacturing Company established in 1889” ( wikipedia,2009 ) . Then the company was called Berkshire Fine Spinning Associates. Then once more in 1955 Berkshire Fine Spinning Associates merged with Hathaway fabricating Company ( Wikipedia,2009 ) .

In 1962, Warren Buffett started finally purchasing the portions of the company and by 1967 had a bulk interest in the company. He subsequently started diversifying the company into fabrication of furniture, confects, vacuity cleaners and in the sale of jewellery. The company has been following the doctrine of Value Investing ( by Benjamin Graham, University of Columbia. ) ( Mahalo, 2009 ) .The company shut its nucleus operation, fabric fabrication, in 1985. ( Wikipedia, 2009 ) .

### Description and analysis of Berkshire Hathaway ‘s public presentation over clip:

The given informations depicts the public presentation of the Berkshire Hathaway company over the period of 44 old ages. The company ‘s public presentation has ranged between the best returns in the twelvemonth 1976 ( 59.3 % ) , against the worst returns in the twelvemonth 2008 with the lowest recorded return as -9.6 % .2008 twelvemonth has been the worst twelvemonth non merely for Berkshire Hathaway but besides for S & A ; P 500.

In the clip period of 44 old ages, the book value has grown from 19 $ to 70530 $ at the rate 20.3 % compounded yearly. The per portion book value for category A and category B decreased by 9.6 % . ( Referencing )

As calculated in the excel, the mean returns over the period in 21.36 % .The one-year additions since 1965 is 20.47 % and the overall additions is 362498.60 % .

The information and the computations show that Berkshire Hathaway has positive kurtosis which is 0.05. The lopsidedness, It fundamentally measures the distribution of the information, is right tailed so therefore it ‘s positively skewed.

### Comparison of Berkshire Hathaway ‘s public presentation with S & A ; P 500:

The difference that we can clearly notice from the computations and the information given is the one-year and the overall additions of both the companies that Berkshire Hathaway ‘s several returns are better. The statistics for Berkshire Hathaway are one-year additions since 1965 is 20.47 % and over all additions is 362498.60 % and for S & A ; P500 are one-year additions is 8.94 % and over all additions is 4236.04 % . The additions for Berkshire Hathaway are overall, sing both one-year and overall additions, better.

Even the mean returns for Berkshire Hathaway are about 10 % more than S & A ; P 500’s.The former has 21.35 % and the latter has 10.51 % .The Standard divergence of Berkshire Hathaway being 14.88 % attracts the investors as compared to S & A ; P 500 whose Standard Deviation is 17.95 % because the figures shows that Berkshire Hathaway is less hazardous because more the standard divergence more will be the hazard on the expected returns.

For both companies, 2008 has been the worst twelvemonth as the information shows that both have got the least returns that is -9.6 % and -37 % for Berkshire Hathaway and S & A ; P 500 severally. But the best twelvemonth for Berkshire Hathaway was 1976 with 59.3 % returns and twelvemonth 1995 with 37.6 % returns for S & A ; P 500.

The T trial helps us to cognize whether the void hypothesis is to be accepted or rejected. It compares the T statistics with T critical and if the T statistics is greater than T critical so the T critical is rejected and the T stat is accepted that is we reject the void hypothesis. In our information we have calculated the T trial thrice, one time at 0 % yearly, so for more than 5 % yearly and so for more than 10 % yearly to demo whether the Berkshire Hathaway outperforms S & A ; P 500 or non.

For these three per centums, we have taken the void hypothesis is Berkshire Hathaway did non out perform S & A ; P 500.

In the analysis 1, the void hypothesis is that does Berkshire Hathaway outperform S & A ; P 500 historically or non. In this we have t stat of 5.097 and a t critical of 1.681071, here we can state that t stat being greater than t critical therefore void hypothesis in invalid at 95 % assurance degree, so t stat is accepted which means that Berkshire Hathaway outperforms S & A ; P 500.

In the analysis 2, the void hypothesis is that does Berkshire Hathaway outperform S & A ; P 500 for more than 5 % yearly or non. In this we have t stat of 2.747116 and a t critical 1.681071. Here besides we have t stat to be greater than t critical therefore void hypothesis in invalid at 95 % assurance degree, and hence we accept the alternate hypothesis which says that Berkshire Hathaway outperforms S & A ; P 500 for over 5 % yearly.

In the analysis 3, the void hypothesis is that does Berkshire opening outperforms S & A ; P 500 for more than 10 % yearly or non. In this we have t stat of 0.39641 and a t critical 1.681070. Here we have t critical to be greater than T stat hence alternate hypothesis is invalid at 95 % assurance degree, and hence we accept the void hypothesis which says that Berkshire Hathaway did non surpass S & A ; P 500 for over 10 % yearly.

### Analysis of Berkshire Hathaway ‘s public presentation utilizing CAPM:

Capital plus pricing theoretical account ( CAPM ) calculates expected returns which depend on the plus ‘s sensitiveness in the market for which the step is beta that is it measures hazard like higher the beta higher is the hazard for the return and frailty versa. There are two sorts of assets one is risk free and one are hazardous. There should be balance between both. CAPM takes into consideration the expected return on a hazard adjusted footing, we do this by including the hazard free plus and the difference between expected return on market and hazard free rate is known as hazard premium. If higher will be the hazard premium, it will be considered more by the investors.

In the computations. X variable in the beta, the hazard and intercept in the alpha, the extra return. The information has been calculated thrice with different times. The first is complete informations, so its first half and so its 2nd half.

For the complete informations, the beta is 0.679408479 and alpha is 0.009084834.The P for beta is 2.48179e-130 and P for alpha is 0.013061156. P value is important if it is less than 0.05. Therefore p values for both are important.

Now for the first half informations, the beta is 0.968954762 and alpha is 0.013686818. The P for beta is 3.5235E-10 and P for alpha is 0.008699113. As we can see the P values being less than 0.05 therefore they a rhenium important for both.

For the last that is 2nd half informations, the beta is 0.464056003 and alpha is 0.000701719. The P for beta is 5.97433E-05 and P for alpha is 0.891556342. P value is important for beta, but non important for alpha as for alpha P value is greater than 0.05.

### Decision:

The public presentation of the companies, Berkshire Hathaway and S & A ; P 500, over the clip has been closely examined. Berkshire Hathaway has outperformed S & A ; P 500 in about every facet as we can see from the mean return that is 21.35 % for Berkshire Hathaway as compared to 10.51 % of S & A ; P 500, one-year additions for Berkshire Hathaway are 20.47 % against 8.94 % of S & A ; P 500. Standard divergence showed us that more the standard divergence more will be the hazard hence form the computations we see that Berkshire Hathaway is less hazardous than S & A ; P 500 and therefore it will pull more investors to its pocket. Now even if we look at the least returns both the companies has received, the record for S & A ; P is -37 % which is far more than what Berkshire Hathaway has received so far which is -9.6 % .

The followers is the annual chart which tells us the overall returns chart which explain clearly that overall Berkshire has outperformed S & A ; P 500.