Anteprima
Vedrai una selezione di 6 pagine su 22
Econometria e assicurazioni Pag. 1 Econometria e assicurazioni Pag. 2
Anteprima di 6 pagg. su 22.
Scarica il documento per vederlo tutto.
Econometria e assicurazioni Pag. 6
Anteprima di 6 pagg. su 22.
Scarica il documento per vederlo tutto.
Econometria e assicurazioni Pag. 11
Anteprima di 6 pagg. su 22.
Scarica il documento per vederlo tutto.
Econometria e assicurazioni Pag. 16
Anteprima di 6 pagg. su 22.
Scarica il documento per vederlo tutto.
Econometria e assicurazioni Pag. 21
1 su 22
D/illustrazione/soddisfatti o rimborsati
Disdici quando
vuoi
Acquista con carta
o PayPal
Scarica i documenti
tutte le volte che vuoi
Estratto del documento

Life Assurance and Endowment Policies

Life assurance and endowment policies are insurance contracts that provide financial protection in the event of the insured person's death. The policyholder chooses a beneficiary who will receive a certain amount of money, known as the death benefit, upon the insured person's death. This coverage can last for the whole life of the insured person or for a specified term period.

Endowment policies, on the other hand, provide a lump sum payment to the policyholder if they survive until the end of the policy term. These policies are often used for long-term savings or to fund specific financial goals.

Life assurance policies can also have additional features, such as critical illness cover or disability benefits, which provide financial support in case of serious illness or disability.

The premiums for life assurance and endowment policies are determined based on various factors, including the age, health, and lifestyle of the insured person. Actuarial calculations are used to assess the risk and determine the appropriate premium amount.

It is important to carefully consider your financial needs and goals when choosing a life assurance or endowment policy. Consulting with a financial advisor can help you make an informed decision.

of each feature order What literature in chronological in proposed 1h some a -.? able them to capture is mortality to the interpretation biological five that models mathematical Explanatory MODEL :

↳ deterioration for people study body old if .1) )IGOMPERTZ MODEL 1825 xx " mortality level lose of A✓ xx Ae -= . fare mortality of relative the in increase B = a This formalized empirically that with model at increase of eµ×× exponential( code an well describe this model doesn't people old and very young very)

2) (MAKE HAM 1860 MODEL µ×=aeB×t 8 do of the from includes death which I all rink depend not of eon: causes .the Seo At difference with negligible high is Gompertz of e so. Mt

(3) )PERKS 1932 Gompertz⇒8=0Bx ✓yAeNx = - I"re It kan misto see ⇒ . ×↳ function logistic

4) WEIBULL )( 1951µ×=AxB for the mortality of proportioned of to is heaven of e→ a fit function data that bored models without biological well

DESCRIPTIVE MODEL on any on: behind interpretation structural

(Paeans1) HE 1980LIGMAN & ')Ellen )buffCHB)at c't -- ×be7¥ GH+ t= - -in ↳ mortality atto mortality at young oldinfant YesagesmortalityhasIt between modelWeibullparameters thein the8 mix logisticonce andafirstthe terms "betwoFor neglectedcanso GHx. so 9¥ =2) Co ( )Kl 1990& EnAVE SkI from)dm interpolate totbx the 85Tx taxi raft noin~a µ, aim := ,( )3) HANNI 1994STO BXeAAx = - B XeIt a What"the) "" the "Define theirExpansion rectangular zatiom termsand consequencesmain15 are.?of modellingmortalitytermsin LexisDef dx thewhichthe thepoint atof x* numberobservemode largest ofis weofe: = ,deaths . :/"! !" "at mmmm. . . xxthe 4cohort Lexisthis pointis hercentofeaon , heohleof survived through theYears dxto thedx rightEXPANSION curve⇒ moves ' - - x: ( laterbecomeshis slope rectangular everybody is dying andANG VANRECT Zanoni more )allalmost theotex gosame2002A→the theretermsFor mortality modeling

termsof thereflectediminsurer onare aggregate, , tend to leaveReparticular insured than what predictedlongerrush heoninlongevity avengeon. , , lifewhereimminence137 contracts benefitsDiscuss contingentare on .life benefits usually holder beneficiary thetypes policyinsurance andinsured are some: ,person . future usuallybenefit time with counter clausecertainvideo ath insuranceENDOWMENT aa ;: ( )Um VmEx IP Tx mP×~ VACTU AWEAMAL , m =: m . .= ,the of usually(protectionhrs outofaimrtvideo ofrisk olderimLife YesrunningANNUITY money: )retirementafter lifeforoctan value annuity'reai ⇐⇐( ) uhExtheof ii. PxyearbeginADVANCE° e=: a= .o .€( )the uhof EE Exend ERyearmeans asa. a: .= i ., ,MEDFEDE LIFE ANNUITIES ⇐mvheE!h epxExoilADVANCE" = .my: =A co VhZE PxEOL IA MEANS° amii a×= .× hehim Itth m whileboysbe of theysalary to girlsto sortused studyingfive andTEM areannuity can a: )I holder his/herthe the beneficiarypolicy 1parent

daughterandinsuredandis ina sonTEAM ANNUITYLIFE !onII. uhOi Ex epxADVANCE° =i = .my, Uha§Ex PxARREARS qq.geOf. =i a= .my.. ,DEFERRED TERM ANNUITYLIFE ?!TIE mat uh PxExADVANCE• ai a,m = .,in Mtm Mtm 8hEx ZE qP×MEANS Q×A aimy. : .=my, Kim him thte eralizedof) mortalitycohort stochasticExplain the Period modelsYencomponents16 Agemain - -MEASURES OF MORTALITYmortalityqltixl t atunderlying rate in ye x- year- deathIt ) underlying ratexm =, HitmAssume It -) e eq × = ., )Poisson (Dltdeathsactual Poissonmodel ) )E Hix)Hixx r: m, .TWO OF MODELSFAMILIESGENERAL )I ! !" ' 'It pin !moi') ' ni?'log p tat rem tx = .. ..ORlojtlqlt "xD pi '!!Hi pin" 'E K'I rt t=, .. .where i linked'pi " for component Aft toeffect ofeffects socialVariations processesandbiologicalareK- age= . from' Period foetus that equallyeffects result affectcomponent" externalforHI effectperiod a~ = . fromIt socialall time

The environmental calendar is a particular part of the economic calendar that focuses on environmental events. These events can range from group activities to individual actions. One example of an environmental event is the impact of a particular cohort on the environment. Cohort effects refer to variations in the effects of exposure to certain factors that are unique to a specific group of individuals. These effects can arise at different times as subjects move across age cohorts.

The age cohort effect is a component of the cohort effect. It represents the variations in mortality rates that occur as individuals age within a specific cohort. The number of deaths observed at a particular age, represented by the stochastic variable Dx, is influenced by the number of people alive at the beginning of the year, represented by the variable Ei. The probability of death at a specific age, denoted by the symbol d÷, is approximated as the ratio of the number of deaths at that age to the number of people alive in the middle of the year.

Under the assumption that mortality remains constant over each calendar year, the instantaneous mortality rate, denoted by µ×, is defined as the ratio of the number of deaths at a specific age to the number of people alive at the beginning of the year. This mortality rate is linked to the concept of exposure, which represents the amount of time an individual has been exposed to certain factors. In the context of mortality, exposure is measured as the number of years since birth.

Il testo formattato con i tag HTML è il seguente:

death usually variable stochastic in the model of the A response Apc one oh or year a - +, to) dependent force mortality appropriate predictor of A Xsxan xieon - age t - ;. ,..,, ,)ti of cohort period C forta tabirth tmten population and year xn x ac --- ,.- . .. ,... ,, , formula This "t.E.skthe "" denotes structure following where ki is pi by that given 4. a ret: i × ×+ .function link transforms form mortality which the suitable into modelling rate a measure a ,, ""the the function mortality shape ki static of of that set general by off2

Dettagli
A.A. 2021-2022
22 pagine
SSD Scienze economiche e statistiche SECS-P/11 Economia degli intermediari finanziari

I contenuti di questa pagina costituiscono rielaborazioni personali del Publisher bonadiamatilde di informazioni apprese con la frequenza delle lezioni di Economia e assicurazioni e studio autonomo di eventuali libri di riferimento in preparazione dell'esame finale o della tesi. Non devono intendersi come materiale ufficiale dell'università Politecnico di Milano o del prof Sgarra Carlo.