## Actuarial problems: mainly taken from The Examinations of the Institute of Actuaries and The Examinations of the Actuarial Society of America |

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### Contents

Problems in the Calculus | 5 |

Problems in Probability | 18 |

Problems in Finite Differences | 36 |

3 other sections not shown

### Common terms and phrases

accumulated age x age x+n aged 40 annual premium annuity of 100 Assuming assurance payable basis bearing interest bonds Calculate capital compound interest compounded death before age debentures definite integrals differential coefficient disability double indemnity drawn effective annual rate endowment assurance endowment policies entrants equal event of death exact age Find an expression Find the chance Find the probability Find the sum Find the value follows Makeham's law force of mortality formula function Give an expression Given HM Table income instalments investment loan ment obtain office premium payable annually payable half pension person aged premium payable premiums paid present value Prove purchase quarterly random rate of interest rate of mortality redeemable redemption respectively retirement Show single premium standard deviation sum assured survive table following Makeham's term assurance terminal reserve three lives aged whole life policy whole-life assurance yearly coupons yield