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Credibility theory is a branch of actuarial mathematics concerned with determining risk premiums. [1] To achieve this, it uses mathematical models in an effort to forecast the ( expected ) number of insurance claims based on past observations.
Computers further revolutionized the actuarial profession. From pencil-and-paper to punchcards to microcomputers, the modeling and forecasting ability of the actuary has grown vastly. [46] Another modern development is the convergence of modern finance theory with actuarial science. [47]
The potential of modern financial economics theory to complement existing actuarial science was recognized by actuaries in the mid-twentieth century. [11] In the late 1980s and early 1990s, there was a distinct effort for actuaries to combine financial theory and stochastic methods into their established models. [ 12 ]
In credibility theory, a branch of study in actuarial science, the Bühlmann model is a random effects model (or "variance components model" or hierarchical linear model) used to determine the appropriate premium for a group of insurance contracts. The model is named after Hans Bühlmann who first published a description in 1967.
present value adjustment using actuarial rate, prices index,... base insurance premium correction, underwriting policy evolution, clauses application 'as if' data, calcul of the 'as if' historical reinsurance indemnity, Reinsurance pure premium rate computing, add charges, taxes and reduction of treaty
Actuarial science – discipline that applies mathematical and statistical methods to assess risk in the insurance and finance industries. What type of thing is actuarial science? [ edit ]
Martingale pricing is a pricing approach based on the notions of martingale and risk neutrality. The martingale pricing approach is a cornerstone of modern quantitative finance and can be applied to a variety of derivatives contracts, e.g. options , futures , interest rate derivatives , credit derivatives , etc.
Investment theory, which is near synonymous, encompasses the body of knowledge used to support the decision-making process of choosing investments, [4] [5] and the asset pricing models are then applied in determining the asset-specific required rate of return on the investment in question, and for hedging.