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Unformatted text preview: T| , v T ]. 6. For a 10-year deferred life annuity-due of 1 per year on (60): (i) mortality follows de Moivre's law with ω = 100 (ii) i = 0 Calculate the probability that the sum of the payments made under the annuity will exceed the APV at issue of the annuity. FIN 3220A Actuarial Models I Tutorial 4 26 October 2005 7. Consider the following present value random variables. where K is the curtate future lifetime of (x): Y = a K+1| Z = a K+1| for 0 &lt; K &lt; n, Z = a n| for K &gt; n It is given that: (i) i = 0.06 (ii) A x = 0.20755 (iii) a x:n-1| = 6 Find E[Y] - E[Z] 8. For a 5-year deferred whole life annuity-due of 1 on (x): (i) μ (x+t) = 0.01 (ii) i = 0.04 (iii) a x: 5| = 4.452 (iv) The random variable S denotes the sum of the annuity payments Calculate P[S &gt; 5| a x ]. .. .. .. .. .....
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- Spring '05