3.Life Annuities

download 3.Life Annuities

of 34

Transcript of 3.Life Annuities

  • 8/6/2019 3.Life Annuities

    1/34

    MY]]43=45 Kdq|k}nkh TdnlfdlMY]]43=45 Kdq|k}nkh TdnlfdlQosnd 45 Kff|nqnlt & Hn`l Kff|nqnlt

    ]UN ;

    Jaj ]oaunkg KgjkaDohhlil o` M|tnfltt\fnpl}ntnqn \qk}k Jkhk~tnkTljltql} NN =3;3/=3;;

  • 8/6/2019 3.Life Annuities

    2/34

    D ofqlfqtD ofqlfqt4 ; Nfq}oa|dqnof4 = Q~slt o` Kff|nqnlt ynqg dojso|fa nfql}ltq4 4 ]lhkqnoftgns mlqyllf Kff|nqnlt A|l/

    Njjlankql

    4 1 Sl}slq|nq~4 < Al`l}}la Kff|nqnlt4 0 Hn`l Kff|nqnlt4 9 Antd}lql Hn`l Kff|nqnlt4 7 D ofqnf|o|t Hn`l Kff|nqnlt4 > Hn`l Kff|nqnlt ynqg jofqgh~ sk~jlfqt

    ]UN =

  • 8/6/2019 3.Life Annuities

    3/34

    4 ; Nfq}oa|dqnof4 ; Nfq}oa|dqnof~ Kf kff|nq~ nt k tl}nlt o` sk~jlfqt

    jkal kq l{|kh nfql}pkht~ Lw5 k dk} hokf nt }lskna ynqg l{|kh

    nftqkhjlfq~ K }lqn}ll s|}dgktlt kf kff|nq~ `}oj

    nft|}kfdl dojskf~ |sof gnt}lqn}ljlfq

    ~ K hn`l nft|}kfdl sohnd~ nt s|}dgktlaynqg jofqgh~ s}ljn|jt

    ~ @o} antd|ttnof s|}sotl( yl ktt|jlqgl kff|nqnlt ynqg `nwla kjo|fq( foal`k|hq }ntb

    ]UN 4

  • 8/6/2019 3.Life Annuities

    4/34

    4 = Q~slt o` Kff|nqnlt ynqg4 = Q~slt o` Kff|nqnlt ynqgdojso|fa nfql}ltqdojso|fa nfql}ltq

    ~ 4 = ; Kff|nqnlt njjlankqlsk~jlfq kq qgl lfa o` nfql}pkh

    3 ; = f*; f

    ~ 4 = = Kff|nqnlt*a|l 5Sk~jlfqt a|l kq qgl mlinffnfi o` sl}noa

    3 ; = f*; f

    ]UN 1

  • 8/6/2019 3.Life Annuities

    5/34

    4 = ;4 = ;**; Kff|nqnlt Njjlankql 'SP.; Kff|nqnlt Njjlankql 'SP.~ D oftnal} kf kff|nq~ ynqg sk~jlfqt

    o` ; |fnq lkdg jkal kq qgl lfa o`lpl}~ ~lk} |fqnh f*~lk}t

    ~ SP o` qgl kff|nq~

    ]UN

    4 < Al`l}}la Kff|nqnlt4 < Al`l}}la Kff|nqnlt

    ~ O ` ofl `o} ygndg qgl `n}tqsk~jlfq nt jkal tojlqnjl nf qgl`|q|}l

    ~ f*sl}noa kff|nq~*njjlankql5Kf kff|nq~ ynqg f sk~jlfqt `o} ygndgqgl `n}tq sk~jlfq nt qo ml jkal kq

    qnjl j";Qgl SP o` qgnt kff|nq~ nt

    xxx;

    jfj

    fj

    fj kk

    np

    pkp +

    +

    xxx

    fj

    jfj

    kpkk +

  • 8/6/2019 3.Life Annuities

    20/34

  • 8/6/2019 3.Life Annuities

    21/34

    k. Antd}lql f*~lk} qljso}k}~ hn`lkff|nq~*njjlankql ynqg k sk~jlfqo` ; |fnq

    m. Antd}lql f*~lk} qljso}k}~ hn`lkff|nq~*a|l

    4 9 ; Antd}lql f4 9 ; Antd}lql f**~lk} Qljso}k}~~lk} Qljso}k}~hn`l kff|nq~hn`l kff|nq~

    ++f

    b wb b f w spk

    ;x5

    +

    + ;3

    x5

    f

    b wb

    b f w spk

    =;

  • 8/6/2019 3.Life Annuities

    22/34

    ~ ]lhkqnoftgns mlqyllf 'k. kfa 'm.

    x;5x5 ;+ f wf w kk

    ==

    4 9 ; Antd}lql f4 9 ; Antd}lql f**~lk} Qljso}k}~~lk} Qljso}k}~hn`l kff|nq~hn`l kff|nq~

  • 8/6/2019 3.Life Annuities

    23/34

    Lwkjshl5@nfa KSP o` 4 ~lk}t qljso}k}~hn`l kff|nqnlt njjlankql ntt|laqo k sl}tof kila 1< `}oj qgnthn`l qkmhl Ynqg nfql}ltq }kql:01(;79

    10 >0=(;30

    19 >(7

  • 8/6/2019 3.Life Annuities

    24/34

    Toh|qnoft5

    =1

    4 9 ; Antd}lql f4 9 ; Antd}lql f**~lk} Qljso}k}~~lk} Qljso}k}~hn`l kff|nq~hn`l kff|nq~

    9 ;;3011 =;(>01701;3 0(>0=

    '.3

  • 8/6/2019 3.Life Annuities

    25/34

    k. Antd}lql ygohl hn`l kff|nq~*njjlankql qgkq jkblt sk~jlfqt kqqgl lfa o` lpl}~ ~lk} kt hofi kt qglkff|nqkfq t|}pnplt

    m. Antd}lql ygohl hn`l kff|nq~*a|l qgkqjkblt sk~jlfqt kq qgl mlinffnfi o`

    lpl}~ ~lk} kt hofi kt qgl kff|nqkfqt|}pnplt

    =