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Hi, If I go into the "Script submission - Series and Mock Exam Marking April 2024" - "CM1 Mock Exam 1 Paper A" the solutions are half way down the...
Hi Gerry, i(p) is a slightly artificial interest rate which comes about from trying to value an annuity annually that makes payments pthly....
Hi Danny, Surrenders are only allowed at the end of the year so it does not make sense to turn it into a force. The dependent probability of...
Hi, The idea is good: take the expected present value of an annuity paying quarterly in arrears from age 82 but remove the EPV of the first...
Hi Leah, If you are index-linking cashflows (increasing them in line with inflation) it's index @ payment date / index @ base date (although...
Hi, A qx probability is the probability a life dies over the next period GIVEN they were alive at the start of the period. The probability of...
For the formula itself see page 27 of chapter 11. If we differentiate the PV of a cashflow twice: PV of cashflow at time t = c * v^t = c *...
Hi Danny, Yes this is correct. If bonuses vest at the start of the year we already have the first term of the death benefits in the form...
(2)TA:x:<n> term is the expected present value of a term assurance at the squared rate of interest. If instead it's (2)TABar:x:<n> then you just...
Hi, So taking each probability term in the integral in turn: t-1p50(ai) - the probability that the life was in the able state at age 50 but the...
Hi Danny, Yes this relationship holds. Not the clearest in the course notes but it's implied at the bottom of page 18 of chapter 19. The only...
Yes, the line below the formula on page 32 says "this profit relates to the year starting at policy duration t, that is for policy year t+1".
Hi, Yes this is the same thing. So the year from 0 to 1 is the 1st year. So the year starts at policy duration t=0 but it's the first year ie t+1....
Hi Danny, For the formula to apply please see chapter 14 page 34: abarx:<n> = aduex:<n> - 1/2 *(1 - v^n * npx) This formula comes from the...
Hi Danny, Some of your fellow students might be able to help you out with this more than me. However, I would recommend trying to slow down a...