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Diversity of actuarial Work<br />

Actuaries and Bank<strong>in</strong>g<br />

and F<strong>in</strong>ance<br />

Bank<strong>in</strong>g has become a more mathematical<br />

discipl<strong>in</strong>e <strong>in</strong> the last 25 years. Firstly, the paradigm<br />

has shifted from the banker us<strong>in</strong>g his judgement<br />

about a deal and a company, to us<strong>in</strong>g historical and<br />

market data to develop mathematical models that<br />

allow the assessment of risk versus return.<br />

Secondly, there has a been massive growth <strong>in</strong> the<br />

trad<strong>in</strong>g of complex derivative products <strong>in</strong> recent<br />

years. The Bank of International Settlements<br />

recently estimated that there are 27 trillion USD<br />

notional of <strong>in</strong>terest-rate derivative contracts<br />

outstand<strong>in</strong>g. Such products can only be valued<br />

by us<strong>in</strong>g complex mathematical techniques, and<br />

for this the blend of mathematical, f<strong>in</strong>ancial and<br />

personal skills of an actuary is ideal.<br />

To properly assess the risk versus return of a<br />

deal requires not just a model of the quantities<br />

underly<strong>in</strong>g the deal and its hedg<strong>in</strong>g, but also of how<br />

these quantities <strong>in</strong>teract with the bank’s exist<strong>in</strong>g<br />

portfolio. Thus one wishes to build a model of all<br />

the deals currently held and measure its risk and<br />

return profile, and compare that with the portfolio<br />

extended by add<strong>in</strong>g the new deal. To do this<br />

requires build<strong>in</strong>g models not just of the distribution<br />

of each underly<strong>in</strong>g risk exposure, but also of how<br />

they vary together. These need to be extrapolated<br />

from historical data and here actuarial skills are<br />

essential.<br />

Actuaries are <strong>in</strong>volved <strong>in</strong> the modell<strong>in</strong>g of f<strong>in</strong>ancial<br />

risks typically faced by banks and <strong>in</strong> the calculation<br />

of capital requirements for banks. This is a grow<strong>in</strong>g<br />

area for actuaries.<br />

Actuaries and<br />

Life Insurance<br />

Life <strong>in</strong>surance has been an important practice<br />

area for the actuarial profession for more than<br />

a century. In the last 20 years the life <strong>in</strong>surance<br />

<strong>in</strong>dustry has seen some radical changes with the<br />

ris<strong>in</strong>g importance of unit-l<strong>in</strong>ked contracts and the<br />

restructure of long established mutual companies.<br />

The role of the actuary <strong>in</strong> life <strong>in</strong>surance has evolved<br />

and life <strong>in</strong>surance cont<strong>in</strong>ues to be an important<br />

employer of qualified actuaries and new graduates.<br />

The bus<strong>in</strong>ess of life <strong>in</strong>surance revolves around longterm<br />

f<strong>in</strong>ancial contracts (called policies) between<br />

life <strong>in</strong>surance companies and their customers or<br />

policyholders.<br />

Life <strong>in</strong>surance policies <strong>in</strong>volve payments <strong>in</strong> the<br />

event of specified circumstances <strong>in</strong>volv<strong>in</strong>g the<br />

death or survival of nom<strong>in</strong>ated lives. For example,<br />

<strong>in</strong>dividuals with dependents will often take out a<br />

temporary contract provid<strong>in</strong>g a lump sum payment<br />

<strong>in</strong> the event of their death with<strong>in</strong> the contract<br />

period. Such a contract typically provides f<strong>in</strong>ancial<br />

security for a family <strong>in</strong> the event of<br />

the premature death of the ma<strong>in</strong> bread-w<strong>in</strong>ner.<br />

Life <strong>in</strong>surance companies would normally rely on<br />

their actuaries to calculate the appropriate charge<br />

(or premium) for contracts provid<strong>in</strong>g such death<br />

benefits. In perform<strong>in</strong>g such calculations, actuaries<br />

apply mathematical techniques <strong>in</strong>volv<strong>in</strong>g probability<br />

and compound <strong>in</strong>terest. These contracts usually<br />

<strong>in</strong>volve funds be<strong>in</strong>g set aside and actuaries use<br />

similar techniques to assess the amounts required<br />

to ensure the f<strong>in</strong>ancial <strong>in</strong>tegrity of life <strong>in</strong>surance<br />

policies.<br />

As a result of their understand<strong>in</strong>g of life <strong>in</strong>surance<br />

bus<strong>in</strong>ess actuaries are often found <strong>in</strong> senior<br />

management roles with<strong>in</strong> the <strong>in</strong>dustry or regulatory<br />

bodies.<br />

Actuaries and General Insurance<br />

General <strong>in</strong>surance is a very broad term which<br />

essentially covers all types of <strong>in</strong>surance which are<br />

not classified as life <strong>in</strong>surance. Most <strong>in</strong>dividuals<br />

will effect a general <strong>in</strong>surance policy dur<strong>in</strong>g their<br />

lifetime. Examples <strong>in</strong>clude motor vehicle <strong>in</strong>surance,<br />

home contents <strong>in</strong>surance, and travel <strong>in</strong>surance.<br />

One of the major roles an actuary plays <strong>in</strong><br />

general <strong>in</strong>surance is modell<strong>in</strong>g risks. As a simple<br />

example, consider motor vehicle <strong>in</strong>surance. A<br />

typical <strong>in</strong>surance policy covers an <strong>in</strong>dividual for<br />

one year, but when a policy is issued, the <strong>in</strong>surer<br />

does not know how many motor vehicle accidents<br />

the <strong>in</strong>dividual will have dur<strong>in</strong>g the year, or how<br />

much vehicle repairs will cost as a result of these<br />

accidents. Based on previous years’ data for similar<br />

<strong>in</strong>surance policies, an actuary will construct models<br />

both for the number of accidents an <strong>in</strong>dividual will<br />

experience and for the costs associated with these<br />

accidents. A fundamental use of such models is <strong>in</strong><br />

the pric<strong>in</strong>g of an <strong>in</strong>surance policy. The actuary must<br />

decide on the amount (known as the premium) to<br />

be paid by an <strong>in</strong>dividual for <strong>in</strong>surance cover.<br />

Another illustration of general <strong>in</strong>surance would be<br />

a policy cover<strong>in</strong>g a manufactur<strong>in</strong>g company aga<strong>in</strong>st<br />

losses aris<strong>in</strong>g from an <strong>in</strong>dustrial accident or a fire.<br />

Consider the situation where a large factory was<br />

completely destroyed by fire. The losses associated<br />

with this would run <strong>in</strong>to millions of dollars, and it<br />

would take a number of years before the <strong>in</strong>surance<br />

claim was f<strong>in</strong>ally settled as the factory was rebuilt,<br />

new mach<strong>in</strong>ery <strong>in</strong>stalled and so on. One of the<br />

tasks for an actuary would be to set a reserve level.<br />

This is an estimate, required for statutory purposes,<br />

of the cost to the <strong>in</strong>surance company of eventually<br />

settl<strong>in</strong>g the <strong>in</strong>surance claim. An actuary must also<br />

be able to perform calculations to ensure that an<br />

<strong>in</strong>surance company is solvent. Broadly speak<strong>in</strong>g,<br />

this means that the <strong>in</strong>surer has enough funds to pay<br />

<strong>in</strong>surance claims as they arise.<br />

A further role of actuaries <strong>in</strong> general <strong>in</strong>surance<br />

is <strong>in</strong> determ<strong>in</strong><strong>in</strong>g re<strong>in</strong>surance arrangements. An<br />

<strong>in</strong>surance company may wish to limit the amount<br />

it pays on an <strong>in</strong>surance claim. It can achieve this by<br />

shar<strong>in</strong>g the <strong>in</strong>surance risk with a re<strong>in</strong>surer <strong>in</strong> return<br />

for the payment of a re<strong>in</strong>surance premium. A role<br />

for the actuary is to decide on the most appropriate<br />

type of re<strong>in</strong>surance, and how much of the <strong>in</strong>surance<br />

risk should be shared with the re<strong>in</strong>surer.<br />

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