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CAPÍTULO V: ENSAYOS DE CARACTERIZACIÓN MECÁNICA PARA LOS MATERIALES Y LAS MIXTURAS

UNIVERSIDAD NACIONAL DE INGENIERIA

5.0 CAPÍTULO V: ENSAYOS DE CARACTERIZACIÓN MECÁNICA PARA LOS MATERIALES Y LAS MIXTURAS

Net earnings attributable to Berkshire Hathaway shareholders for each of the past three years are disaggregated in the table that follows. Amounts are after deducting income taxes and exclude earnings attributable to noncontrolling interests. Amounts are in millions.

2015 2014 2013

Insurance – underwriting . . . $ 1,162 $ 1,692 $ 1,995 Insurance – investment income . . . 3,725 3,542 3,708 Railroad . . . 4,248 3,869 3,793 Utilities and energy . . . 2,132 1,882 1,470 Manufacturing, service and retailing . . . 4,683 4,468 3,877 Finance and financial products . . . 1,378 1,243 1,008 Investment and derivative gains/losses . . . 6,725 3,321 4,337 Other . . . 30 (145) (712)

Net earnings attributable to Berkshire Hathaway shareholders . . . $24,083 $19,872 $19,476

Through our subsidiaries, we engage in a number of diverse business activities. Our operating businesses are managed on an unusually decentralized basis. There are essentially no centralized or integrated business functions (such as sales, marketing, purchasing, legal or human resources) and there is minimal involvement by our corporate headquarters in the day-to-day business activities of the operating businesses. Our senior corporate management team participates in and is ultimately responsible for significant capital allocation decisions, investment activities and the selection of the Chief Executive to head each of the operating businesses. It also is responsible for establishing and monitoring Berkshire’s corporate governance practices, including, but not limited to, communicating the appropriate “tone at the top” messages to its employees and associates, monitoring governance efforts, including those at the operating businesses, and participating in the resolution of governance-related issues as needed. The business segment data (Note 23 to the accompanying Consolidated Financial Statements) should be read in conjunction with this discussion.

Our insurance businesses generated after-tax earnings from underwriting of $1.2 billion in 2015, a decline of $530 million from 2014, which reflected rising claim costs at GEICO and lower earnings from our reinsurers, partially offset by increased earnings from our other primary insurance operations. In 2014, earnings from underwriting declined $303 million compared to 2013, which was primarily due to lower earnings from reinsurance.

Our railroad business generated a 9.8% increase in after-tax earnings in 2015 compared to 2014. Results in 2015 were positively impacted by improved service levels and lower fuel costs. Railroad earnings increased 2.0% in 2014 compared to 2013, although earnings were negatively impacted by various service-related challenges during the year.

After-tax earnings of our utilities and energy businesses in 2015 increased 13.3% over 2014, which increased 28.0% over 2013. Earnings in 2015 and 2014 benefitted from the inclusion of newly-acquired businesses (AltaLink beginning in December 2014 and NV Energy beginning in December 2013) and higher earnings from several of our other energy businesses.

After-tax earnings of our manufacturing, service and retailing businesses in 2015 increased 4.8% in the aggregate over 2014. In 2015, the positive impacts of business acquisitions and higher earnings from our building products businesses were partly offset by lower earnings from certain of our industrial products and service businesses. Earnings of our manufacturing, service and retailing businesses in 2014 increased 15.2% over 2013, reflecting the impact of bolt-on business acquisitions, earnings growth in certain operations and reductions in earnings attributable to noncontrolling interests.

After-tax investment and derivative gains/losses were approximately $6.7 billion in 2015, $3.3 billion in 2014 and $4.3 billion in 2013. In 2015, after-tax gains included a non-cash holding gain of approximately $4.4 billion that was realized in connection with our investment in Kraft Heinz common stock. In 2014, after-tax gains included approximately $2.0 billion related to the exchanges of Phillips 66 common stock and Graham Holdings Company common stock for a specified subsidiary of each of those companies. After-tax investment gains in 2013 included gains associated with the fair value increases of certain investment securities where unrealized gains or losses were reflected in periodic earnings. Derivative contracts contributed after-tax gains of $633 million in 2015, $329 million in 2014 and $1.7 billion in 2013. We believe that investment and derivative gains/losses are often meaningless in terms of understanding our reported results or evaluating our economic performance. These gains and losses have caused and will likely continue to cause significant volatility in our periodic earnings.

Management’s Discussion and Analysis(Continued) Insurance—Underwriting

We engage in both primary insurance and reinsurance of property/casualty, life and health risks. In primary insurance activities, we assume defined portions of the risks of loss from persons or organizations that are directly subject to the risks. In reinsurance activities, we assume defined portions of similar or dissimilar risks that other insurers or reinsurers have subjected themselves to in their own insuring activities. Our insurance and reinsurance businesses are: (1) GEICO, (2) General Re, (3) Berkshire Hathaway Reinsurance Group (“BHRG”) and (4) Berkshire Hathaway Primary Group.

Our management views insurance businesses as possessing two distinct operations – underwriting and investing. Underwriting decisions are the responsibility of the unit managers; investing decisions, with limited exceptions, are the responsibility of Berkshire’s Chairman and CEO, Warren E. Buffett. Accordingly, we evaluate performance of underwriting operations without any allocation of investment income or investment gains/losses.

The timing and amount of catastrophe losses can produce significant volatility in our periodic underwriting results, particularly with respect to BHRG and General Re. We define pre-tax catastrophe losses in excess of $100 million from a single event or series of related events as significant. In 2015, we recorded estimated losses of $136 million in connection with a property loss event in China. In 2014, we did not incur any significant catastrophe losses. In 2013, we incurred pre-tax losses of $436 million related to two catastrophe events in Europe. Our periodic underwriting results may be affected significantly by changes in estimates for unpaid losses and loss adjustment expenses, including amounts established for occurrences in prior years. Actual claim settlements and revised loss estimates will develop over time, which will likely differ from the liability estimates recorded as of year-end (approximately $73.1 billion). Accordingly, the unpaid loss estimates recorded as of December 31, 2015 may develop upward or downward in future periods, producing a corresponding decrease or increase to pre- tax earnings.

Our periodic underwriting results may also include significant foreign currency transaction gains and losses arising from the changes in the valuation of non-U.S. Dollar denominated reinsurance liabilities of our U.S. based insurance subsidiaries as a result of foreign currency exchange rate fluctuations. Foreign currency exchange rates can be volatile and the resulting impact on our underwriting earnings can be relatively significant.

A key marketing strategy of our insurance businesses is the maintenance of extraordinary capital strength. A measure of capital strength is combined shareholders’ equity determined pursuant to statutory accounting rules (“Statutory Surplus”). Statutory Surplus of our insurance businesses was approximately $124 billion at December 31, 2015. This superior capital strength creates opportunities, especially with respect to reinsurance activities, to negotiate and enter into insurance and reinsurance contracts specially designed to meet the unique needs of insurance and reinsurance buyers. Underwriting results from our insurance businesses are summarized below. Amounts are in millions.

2015 2014 2013

Underwriting gain attributable to:

GEICO . . . $ 460 $1,159 $1,127 General Re . . . 132 277 283 Berkshire Hathaway Reinsurance Group . . . 421 606 1,294 Berkshire Hathaway Primary Group . . . 824 626 385 Pre-tax underwriting gain . . . 1,837 2,668 3,089 Income taxes and noncontrolling interests . . . 675 976 1,094 Net underwriting gain . . . $1,162 $1,692 $1,995

Management’s Discussion and Analysis(Continued) Insurance—Underwriting(Continued)

GEICO

GEICO writes private passenger automobile insurance, offering coverages to insureds in all 50 states and the District of Columbia. GEICO’s policies are marketed mainly by direct response methods in which customers apply for coverage directly to the company via the Internet or over the telephone. This is a significant element in our strategy to be a low-cost auto insurer. In addition, we strive to provide excellent service to customers, with the goal of establishing long-term customer relationships. GEICO’s underwriting results are summarized below. Dollars are in millions.

2015 2014 2013

Amount % Amount % Amount %

Premiums written . . . $23,378 $20,962 $19,083 Premiums earned . . . $22,718 100.0 $20,496 100.0 $18,572 100.0 Losses and loss adjustment expenses . . . 18,647 82.1 15,924 77.7 14,255 76.7 Underwriting expenses . . . 3,611 15.9 3,413 16.6 3,190 17.2 Total losses and expenses . . . 22,258 98.0 19,337 94.3 17,445 93.9 Pre-tax underwriting gain . . . $ 460 $ 1,159 $ 1,127

Premiums written and earned in 2015 increased 11.5% and 10.8%, respectively, over 2014. The increases in premiums reflected growth in voluntary auto policies-in-force (5.4%) and rate increases. Voluntary auto new business sales in 2015 exceeded 2014 by about 1%. In 2015, our voluntary auto policies-in-force grew by 707,000 policies.

In 2015, pre-tax underwriting gains were $460 million compared to $1.16 billion in 2014 and $1.13 billion in 2013. Throughout 2015, we experienced increases in claims frequencies and severities across all of our major coverages. Our loss ratio, which is the ratio of losses and loss adjustment expenses incurred to premiums earned, in 2015 was 82.1% compared to 77.7% in 2014. As a result, we continue to implement premium rate increases where necessary.

Losses and loss adjustment expenses incurred in 2015 increased $2.7 billion (17.1%) over 2014. Claims frequencies (claim counts per exposure unit) in 2015 increased in all major coverages over 2014, including property damage and collision coverages (three to five percent range), bodily injury coverage (four to six percent range) and personal injury protection (PIP) coverage (one to two percent range). Average claims severities were also higher in 2015 for property damage and collision coverages (four to five percent range), bodily injury coverage (six to seven percent range) and PIP coverage (two to four percent range). We believe that increases in miles driven, repair costs (parts and labor) and medical costs, as well as weather conditions contributed to the increases in frequencies and severities.

Underwriting expenses in 2015 increased 5.8% to $3.6 billion. The largest components of underwriting expenses are employee-related costs (salaries and benefits) and advertising. During 2015, these costs grew at a slower rate than premiums. As a result, our expense ratio (the ratio of underwriting expenses to premiums earned) in 2015 declined 0.7 percentage points compared to 2014.

Premiums written and earned in 2014 increased $1.88 billion (9.8%) and $1.92 billion (10.4%), respectively, compared to premiums written and earned in 2013. These increases were attributable to an increase in voluntary auto policies-in-force of 6.6% and increased average premium per policy. Voluntary auto new business sales increased about 1.8% in 2014 as compared to 2013 and voluntary auto policies-in-force increased 821,000 policies during 2014.

Losses and loss adjustment expenses incurred in 2014 increased $1.7 billion (11.7%) to $15.9 billion. In 2014, claims frequencies for property damage and collision coverages increased in the three to four percent range over 2013, partially due to more severe winter weather in the first quarter of 2014. Claims frequencies for bodily injury coverage increased about one percent, while frequencies for personal injury protection decreased three to four percent. Physical damage severities increased one to two percent in 2014 and bodily injury severities decreased in the one to two percent range from severities in 2013. Overall, personal injury protection severities were relatively unchanged although we experienced relatively large, but offsetting, changes by jurisdiction.

Underwriting expenses in 2014 increased $223 million (7.0%) to $3.4 billion. The increase reflected the increased policy acquisition costs to generate the growth in policies-in-force and increased other operating expenses.

Management’s Discussion and Analysis(Continued) Insurance—Underwriting(Continued)

General Re

General Re conducts a reinsurance business offering property and casualty and life and health coverages to clients worldwide. We write property and casualty reinsurance in North America on a direct basis through General Reinsurance Corporation and internationally through Germany-based General Reinsurance AG and other wholly-owned affiliates. Property and casualty reinsurance is also written in broker markets through Faraday in London. Life and health reinsurance is written in North America through General Re Life Corporation and internationally through General Reinsurance AG. General Re strives to generate underwriting profits in essentially all of its product lines. Our management does not evaluate underwriting performance based upon market share and our underwriters are instructed to reject inadequately priced risks. In 2015, we changed the allocation of certain underwriting expenses related to a global systems implementation project among our business units. There was no impact on consolidated results. Prior year amounts were reclassified to conform to current year presentations. General Re’s underwriting results are summarized in the following table. Amounts are in millions.

Premiums written Premiums earned Pre-tax underwriting gain (loss)

2015 2014 2013 2015 2014 2013 2015 2014 2013

Property/casualty . . . $2,725 $3,257 $2,972 $2,805 $3,103 $3,007 $150 $204 $171 Life/health . . . 3,165 3,161 2,991 3,170 3,161 2,977 (18) 73 112 $5,890 $6,418 $5,963 $5,975 $6,264 $5,984 $132 $277 $283

Property/casualty

In 2015, property/casualty premiums written declined $532 million (16%), while premiums earned decreased $298 million (10%), as compared to 2014. Adjusting for changes in foreign currency exchange rates, premiums written and earned in 2015 declined 9% and 2%, respectively, compared to 2014. Our premium volume declined in both the direct and broker markets worldwide. Insurance industry capacity remains high and price competition in most property/casualty reinsurance markets persists. We continue to decline business when we believe prices are inadequate. However, we remain prepared to write substantially more business when more appropriate prices can be attained relative to the risks assumed.

Our property/casualty business produced pre-tax underwriting gains of $150 million in 2015 and $204 million in 2014. In 2015, our property business generated pre-tax underwriting gains of $289 million compared to $445 million in 2014. The comparative decrease in underwriting gains from property business was driven by an increase in the current accident year loss ratio, reflecting a relative increase in reported losses. The property results in 2015 included estimated incurred losses of $50 million from an explosion in Tianjin, China. There were no significant catastrophe losses during 2014. Our property business results in both years benefitted from reductions of estimated losses for prior years’ exposures. The timing and magnitude of catastrophe and large individual losses can produce significant volatility in our periodic underwriting results.

In 2015 and 2014, our casualty/workers’ compensation business produced pre-tax underwriting losses of $139 million and $241 million, respectively. Underwriting results in each year included net losses on current year business, driven by our prudent reserving philosophy that reflects the inherent uncertainty in long-tail exposures. These losses were partially offset by gains from reductions of estimated losses on prior years’ business of $150 million in 2015 and $123 million in 2014, which were net of recurring charges for discount accretion on workers’ compensation liabilities and deferred charge amortization on retroactive reinsurance contracts. Casualty losses tend to be long-tail and it should not be assumed that favorable loss experience in a given period means that the ultimate liability estimates currently established will continue to develop favorably.

Premiums written and earned in 2014 increased $285 million (9.6%) and $96 million (3.2%), respectively, compared to 2013. Adjusting for changes in foreign currency exchange rates, premiums written and earned in 2014 increased 8% and 3%, respectively, reflecting increases in treaty participations as well as growth in our facultative and primary casualty businesses.

Our property/casualty business produced pre-tax underwriting gains of $204 million in 2014 and $171 million in 2013. Our property business generated pre-tax underwriting gains of $445 million in 2014 and $140 million in 2013. Underwriting results in

Management’s Discussion and Analysis(Continued) Insurance—Underwriting(Continued)

General Re (Continued) Life/health

In 2015, life/health premiums written and earned were relatively unchanged from 2014. However, adjusting for changes in foreign currency exchange rates, premiums earned in 2015 increased $266 million (8%) as compared to 2014. In 2015, life business increased across a number of non-U.S. markets, particularly in Canada and Asia.

Our life/health business produced aggregate pre-tax underwriting losses in 2015 of $18 million compared to gains of $73 million in 2014. In 2015, our North American long-term care business generated increased underwriting losses of $77 million compared to 2014 due primarily to increased reserves from estimated premium deficiencies. Also we experienced higher frequency and severity of losses in North American individual life business, which were partially offset by increased underwriting gains from international life business.

Premiums written and earned in 2014 increased $170 million (5.7%) and $184 million (6.2%), respectively, compared to 2013. Adjusting for changes in foreign currency exchange rates, premiums earned in 2014 increased 8% over 2013, which primarily derived from life business across a number of non-U.S. markets.

Our life/health operations produced pre-tax underwriting gains of $73 million in 2014 compared to $112 million in 2013. In 2014, we increased benefit liabilities by approximately $50 million as a result of reducing discount rates for certain European long-term care and disability business. In 2014, we also experienced increased frequency and severity of claims in Australian disability business.

Berkshire Hathaway Reinsurance Group

BHRG underwrites excess-of-loss reinsurance and quota-share coverages on property and casualty risks for insurers and reinsurers worldwide, including property catastrophe insurance and reinsurance. The timing and magnitude of catastrophe losses can produce extraordinary volatility in the periodic underwriting results. Occasionally, BHRG also writes retroactive reinsurance, which provides indemnification of losses and loss adjustment expenses with respect to past loss events arising under property/casualty coverages. BHRG’s underwriting activities also include life reinsurance and periodic payment annuity businesses. BHRG’s underwriting results are summarized in the table below. Amounts are in millions.

Premiums written Premiums earned Pre-tax underwriting gain (loss)

2015 2014 2013 2015 2014 2013 2015 2014 2013

Property/casualty . . . $4,702 $ 4,097 $4,768 $4,416 $ 4,064 $5,149 $ 944 $1,411 $1,248 Retroactive reinsurance . . . 5 3,371 328 5 3,371 328 (469) (632) (333) Life and annuity . . . 2,786 2,681 3,309 2,786 2,681 3,309 (54) (173) 379

$7,493 $10,149 $8,405 $7,207 $10,116 $8,786 $ 421 $ 606 $1,294

Property/casualty

Premiums written and earned in 2015 increased $605 million (15%) and $352 million (9%), respectively, compared to 2014. These increases were primarily attributable to a new 10-year, 20% quota-share contract with Insurance Australia Group Ltd. (“IAG”), which became effective on July 1, 2015. Partially offsetting this increase were premium declines in property catastrophe, property quota-share and London facilities business. Our premium volume is generally constrained for most property/casualty coverages, and for property catastrophe coverages in particular as rates, in our view, are inadequate. However, we have the capacity and desire to write substantially more business when appropriate pricing can be obtained.

The property/casualty business generated pre-tax underwriting gains in 2015 of $944 million compared to $1.4 billion in 2014. In 2015, we incurred losses of $86 million from an explosion in Tianjin, China. There were no significant catastrophe losses in 2014. Underwriting results in 2015 included comparatively lower gains from property catastrophe reinsurance and the run off of prior years’ business.

Premiums earned in 2014 were $4.1 billion, a decline of $1.1 billion (21%) compared to 2013. Premiums earned in 2014 with respect to a 20% quota-share contract with Swiss Reinsurance Company Ltd. (“Swiss Re”) declined $1.3 billion from premiums earned in 2013. The Swiss Re contract expired at the end of 2012 and is in run-off. Property catastrophe premiums earned in 2014 declined $113 million (14%) as compared to 2013. These declines were partially offset by increased premiums earned from property quota-share contracts.

Management’s Discussion and Analysis(Continued) Insurance—Underwriting(Continued)

Berkshire Hathaway Reinsurance Group (Continued) Property/casualty (Continued)

The property/casualty business generated pre-tax underwriting gains of $1.4 billion in 2014 compared to $1.2 billion in 2013. In each year, the underwriting gains were primarily attributable to our property business, which benefitted from relatively low loss ratios, and the favorable run-off of prior years’ business, including the Swiss Re contract.

Retroactive reinsurance

Retroactive reinsurance policies provide indemnification of losses and loss adjustment expenses with respect to past loss events, and related claims are generally expected to be paid over long periods of time. At the inception of a contract, deferred charge assets are recorded for the excess, if any, of the estimated ultimate losses payable over the premiums earned. Deferred charges are subsequently amortized over the estimated claims payment period based on estimates of the timing and amount of future loss payments. The original estimates of the timing and amount of loss payments are periodically analyzed against actual experience and revised based on an actuarial evaluation of the expected remaining losses. Amortization charges and deferred charge adjustments resulting from changes to the estimated timing and amount of future loss payments are included in periodic earnings.

Premiums earned from retroactive reinsurance contracts were not significant in 2015 or 2013, whereas premiums in 2014 included $3 billion from a single contract with Liberty Mutual Insurance Company (“LMIC”). Under the LMIC agreement, we