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test2_06 - The UfliVEI'Eitfir of Toronto 1 AflTfléfi...

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Unformatted text preview: The UfliVEI'Eitfir of Toronto 1 AflTfléfi Intermediate Life Contingenciee Test #2 You must Show your steps or no point will be awarded Nam Irw Y- ID # 1. For a 10—year endowment insurance of 1 on {35], you are given: {i} the rleeth benefit ie peyeble at the moment of death. [ii]: The eenetent benefit premiums are payable continuously. {iii} Mortality is based on prEt} = GLUE, t E El. {11'} Li— - D [14 a) 5 pte Geleulete the benefit reserve 5V{Aes__-1e E[5L]T{35'jl :3 5], where EL 15 the prospective lees et time 5. .._—. o. “— PI 35': = W “9 ”mm ) = T : ‘31“?- ‘9- 353751 ,_ re .1: alt— L _.. [5-414 )4“- -- 2 _ l - ' 1 l :3!th So try"? 3w {Trio S" H - i thgq-ffljx 2: ID?) waflr 9”“ [ll—1e J 1% (EWflifl-q : [— 8 Emilia : [LE-St] -—- "" '— -: £33.35? b) 5 131:5 Calculate the variance er[5L'|T{35] 3:- E]. 1.... qu-fl':5 ‘21. -—~—-—_fil __ HfES—ff-njif 2"- __ ‘1,— A‘Qa1fi # 1* 1% 13140.5;7’ : 074...;qu 1 VHCH— [.TLUJT’K) : MAN (0:106 _. 0&3? ) ': Dhfi'f‘) 2. [5 pts] For B- full}r discrete whele life ineurenee of 1 with level annual benefit premiums on (TE), you era given; {if} ItrIerteJitJ,r fellows DeMeiwe’e Law with w = 1115. [ii] i = [135. a) E pte Calculate the benefit reserve gan = E[25L|K{Tfij 3: 25+]1 where 25L is the prospective lees at time 25. . _ A75: Pjg' I; -~. H; 6.0?— at: 2‘1 k'i'l'x 1 £313"? {1.}: f.“- :_ U" _L+ 1‘— ‘Ci—j ... *_ 3 35' '"GLFT [tho 30 a 3d l L! h} E pte Calculate the benefit reserve 21.5%; at time 24.5 [the exact value}. ---~ 5 ' e i' . V 2'. Um \ lLf-LS' 5}? ELS- ELECS’ .1- UF fins—loge“? 25'1“»?! 3‘3 T F “A: e, * _ _ “it? lu§*?9~5' r eke“ B. Solve the following. 5 a) 5 pts You are given: *flnm 213.3(11 1E =fl.4fi, ’13“:an = (1.52, 3:: :1. Calculate *me—J‘ k __ fi' ‘1: :H 1L __ '1 1: x " =2) fixflfia v.3 Lflfi’céi‘mfifi kg“;- 1 1' - nnm : £1th {-tEY Axfizm - 0.3???- flu-Kfifl {2- I-x ‘ HT-E:lfi“El f3 (11:2?! 1: 1+b3hht‘! ._ H-Fgm (- l__ A'K'f'fl‘u $7) a :ul'zg 1-H fi'fam "i'rvfifl?! : Aka-LEW '— 11} 5 pts You are givan: ii,” = 191 {V = [1.111%]. H11; = (112?, P3+t+1 =fl.[||43. Calculate IEI'H' £V:w%x+i: +‘@1Ex+t {fink/5: V “I" (t+i"‘r"")l-Ex+f 'IE‘KH- .61 fi-t‘lr-i-l J (‘1 7“ Elfin“: 9‘5”?” 4. 5 pte A special lfl-yeer fully discrete term life insurance en (1:) is paid by 5 level henefit premier-mg starting en the policy issue date. The pulley provides 5. death benefit of 1000 plus the {terminal} benefit reserve for that year. Ifr' = ELEM and mm = If Hugh)"1 l: = 1, . . -, what is 3V, the benefit reserve at the end ef the third pulley year? r v "fire, : (lam-1' th) “the-tit 1b} “N k J :7 two rim-K t w by * rev *‘ - ‘1 1m 9‘3"! Ti" 1.an E, if- a; k= i‘l‘flfi ‘: teen x fire“). ‘91 fl. an ':IEZ'.2 dflgw 5. 5 pts A 4-year fully discrete term life insumnee 01" 100E is issued to (82). The insured survives 11:: mg end of the second pehey year. Yen are given: [1} 2' = [1.1331 {ii} annual benefit premium is 12EI1 {iii} 934 = 1112, and {iv} 935 = [1.14. Calculate Ver[gL|K|:82j 2 2]. 1 1 vmelraakJ—w (Em-12W m 2M +9“ Fee}: VsrChflL/Kefi'fl) V“ (BL {Jr-(ea) 20‘ ,1 1r Ver(LLrK31):CI.eED [revengvj 21133:: are. ' e. ~4- CMBJ: e533 3: .rree'é‘fl" 'L - e.- : ([5113) gates i Lieder (31%] Xfld'i'r'j'l‘ni’ufifi‘} _._.—-—-—-—--'—"‘ l u 3Vm43537 "" P figggn :[DUU Urfigf ““flfi‘ 5-1: '7“ {f.?2 ...
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