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Problem 2.10 A 10-year annuity-immediate pays 100 quarterly for the first five years. Starting year 6, the annuity immediate pays 300 quarterly for the remaining five years. There is a nominal annual interest of 8% convertible quarterly. Find the present value of this annuity

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ANSWER:

Given that

10 year annuity immediate pays 100 quarterly for first five years

The annuity immediate pays 300 quarterly for next five years

Here,

the nominal annual interest of 8% convertible quarterly

Here there ts type of annuity -for eriod 1-5 Years G-l0 years and Hs Gtarterly, So theve is 2o penicd in each uosth annuity immediate Y 2 2.1 5 For Ito years 1-1142 A)-20 to-o2) 2小 toox (1b 6-4ey6) : 1664.85 Fist le yeors: 1661 85For 6-to years -20 30011-11+2*). : --llt +0.02) 21 : 5003-5y Here , PV is at end ot 5 yeors and discounting for 5 years 5003-54 (Ho 02)2 o336429 then The total piesent Nalue 1664.85+3364-29 5035.08 Present alue: 5035-0

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