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# ex2rev - 10.24[SOAS-FMﬂ For a special Whole life...

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Unformatted text preview: 10.24. [SOAS-FMﬂ] For a special Whole life insurance on (x), payable at the moment of death: (i) 11,,(2‘) = 0.05, t > 0 (ii) :5 = 0.08 I (iii) The death beneﬁt at time HS in; = ell-06‘, t > 0. (iv) Z is the present value random variable for this insurance at issue. Calculate Var(Z). (A) 0.038 (B) 0041 (C) 0.043 (D) 0.045 (E) 0.048 10.15. [150-898:18] For a Special whole life insurance on (0), you are given: (1) Beneﬁts are payable at the moment of death. ,, 200 0 s t < 65 (u) b‘ I {100 z a 65 (iii) 1100‘) = 0.03, I Z 0 . 6_ 0.01, 0sr<65 .(w) 1‘“ 0.02, :265 Calculate the actuarial present value of this insurance. (A) 140 (B) 141 (C) 142 (D) 143 (E) 144 11.4. [Based on CAS4A-SDS:3] (2 points) The survival distribution follows a de-Moivre function with a) = 80. The force of interest is 5 = 0.05. Determine the net single premium for a 5-year term insurance with beneﬁt \$1000 for a life age 40. (A) Less than \$75 - (B) At least \$75, but less than \$85 (C) At least \$85, but less than \$95 (D) At least \$95, but less than 33105 (B) At least \$105 1 .11. A A-S .2 p , S , p ‘ I. C 1 Olilt d1 CDUHE and IBSBIIIZ Value ImldOIll Reﬁllable leIlCUOI‘lS for a. Ilfe bt=rfOIIEO V2=V1f0rf20 Z=TvaorT20 Beneﬁts are payable at the moment of death. )1 = 0.04. d 2 0.0582355. Calculate the mean of Z. (A) Less than 1.00 (B) At least 1.00, but less than 2.25 (C) At least 2.25, but less than 3.50 (D) At least 3.50, but less than 4.75 (E) At least 4.75 17 41 [CAS4A-F93:14] (1 point) A life age 50 purchases a 10-year temporary life annuity of 1 payable at the beginning of each year if he is alive. You are given thati L- 006 and Amm = 0.5713. Calculate the actuarial present value of this annuity. (A) (B) (C) (D) (E) Less than 5.50 At least 5.50, but less than 6.50 At least 6.50, but less than 7.50 At least 7.50, but less than 8.50 At least 8.50 [CAS4A-898 15] (2 paints) You are given the followmg excerpt from a select and ulnmate mortality table [I] [[x] 100+] lx+2 30 10,000 9,000 8,000 31 9,500 8,500 7,500 32 9,200 8,100 7,000 - 33 8,700 7,500 6,300 34 8,000 6,600 5,200 Assume a constant rate of interest. (A) Less than \$5,500 -year pure endowment for \$10,000 issued at age 30 to a life Selected at age 30 has a (B) At least \$5,500, but less than \$5,700 (C) At least \$5,700, but less than \$5,900 (D) (B) At least \$5,900, but less than \$6,100 At least \$6,100 ...
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