Actuarial Theory: Notes for Students on the Subject-Matter Required in the Second Examinations of the Institute of Actuaries and the Faculty of Actuaries in Scotland, with Numerous Practical Examples and Exercises
Actuarial Theory: Notes for Students on the Subject-Matter Required in the Second Examinations of the Institute of Actuaries and the Faculty of Actuaries in Scotland, with Numerous Practical Examples and Exercises
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1907 Excerpt: ...year is K, and if we assume them all to enter at the beginning of the year, we get the number of unhealthy lives at the end of five years as K c + '(x+2)) + ('+! '+!) 27. A person aged J: wishes to be allowed to effect ten policies each for 1000 as follows: --jj etc. etc. etc. ?j It is required to find the single ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1907 Excerpt: ...year is K, and if we assume them all to enter at the beginning of the year, we get the number of unhealthy lives at the end of five years as K c + '(x+2)) + ('+! '+!) 27. A person aged J: wishes to be allowed to effect ten policies each for 1000 as follows: --jj etc. etc. etc. ?j It is required to find the single premium payable to provide for this option. For the second of these policies the premium to be paid in absence of any arrangement would be Px+1, whereas the premium arranged for is P +1. The value of the option on this one policy is therefore (P-P M Similarly for the third policy the difference in premium to be allowed for is (P....-P,,") and the value of this is N (xx+2-I+2p ?+2-And so on for the other seven policies. W The single premium to be paid for the option is therefore 28. Calculate the following option premiums: --(a) The single premium per cent. required to permit of (30) effecting at the end of five years a whole-life policy at the normal annual premium for his then age, without fresh medical examination. Use the OlM1 Table at 3.V per cent. interest. (6) The yearly addition per cent. to the short-term insurance premium for seven years required to permit of (40) effecting a whole-life policy at the end of that period at the normal annual premium for his then age, without fresh medical examination. Use the OlNM Table at 3 per cent. interest. (a) Using the formula given on page 143, we have-100(-02024--01959) (19-793-4-633) =-985, say 19s. 8d. (A) Similarly for this option premium we have 100(p-pi, J(r',") a40: fj = (3-445-3-377)(18-102-6-250) 6-250--129, say 2s. 7d. 29. Find the annual office premium for a whole-life assurance to (x), the expenses being 8 per cen...
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All Editions of Actuarial Theory: Notes for Students on the Subject-Matter Required in the Second Examinations of the Institute of Actuaries and the Faculty of Actuaries in Scotland, with Numerous Practical Examples and Exercises
