英国精算师协会 英国精算师协会考试真题CT2.doc

英国精算师协会 英国精算师协会考试真题CT2 导读：就爱阅读网友为您分享以下“英国精算师协会考试真题CT2”的资讯，希望对您有所帮助，感谢您对92的支持! 13(i) (ii) (iii) Page 8Loan= 200(Da)+2,000a at 9%= 200??20-a?è0.09÷?+2,000a= 200??20-9.1285?è0.09÷?+2,000′9.1285= 42,415.89Loan outstanding after 7th payment= 200(Da)+2000a at 9%= 200??13-7.4869?è0.09÷?+2,000′7.4869= 27,225.13Hence,YearLoan o/sat startPaymentInterestelement827225.13460024503944002256.79Loan o/s after 9th payment= 25075.39 - 2143.21 = 22932.18Let 10th payment be X + 2200Then22932.18= 200(Da)+Xa at 7%= 200??11-a?è0.07÷?+Xa= 200??11-7.4987?è0.07÷?+7.4987X= 10003.71 + 7.4987XT X = 1724.09T 10th payment= 1724.09 + 2200= ￡3,924.09Capitalelement2149.742143.21 14(i)Let (Va) = v + 4v2 + 9v3 + ... + n2vnThen v.(Va) = v2 + 4v3 + ... + n2vn+1 T (1 - v) (Va)= v + 3v2 + 5v3 + ... + (2n - 1) vn - n2vn+1 = 2v + 4v2 + 6v3 + ... + 2nvn -a - n2 vn+1 T (Va) = 2(Ia)-a-n2vn+1 1-v (ii) (a)Work in ￡000’s PV of liabilities = 95a+5(Ia) at 7% = 95 ′ 10.5940 + 5 ′ ????-20v20a i ?11.3356-20′0.25842?= 1006.43 + 5 ′ ?÷0.07è? = 1446.94