math 18.pdf - Problem 1 Answer Part 1 T= 60 months R=...

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Problem 1: Answer. Part 1 T= 60 months; R= 1.5%p.m; principle=$4000 F.V = P.V*e^rt =$4000*2.71828^1.5%*60 =$4000*2.71828^.9 =$4000*2.45960311116 =$9838.4 Part 2 T= 60 months; R= 1.5%p.m; principle=? P.V= F.V/e^r*t P.V= $5000/2.71828^.9 =$5000/2.4596031116 =$2032.84. part 3 assume amount to be invested monthly be X F.V=p.v*(1+i)^n $5000=X*(1+1.5%)^60+X*(1+1.5%)^59+ ................ X*(1+1.5%)^1)+X $5000=X(1+1.5%)^60+(1+1.5%)^59+ ........... (1+1.5%)^1) $5000=X(2.44+2.40+2.37++2.33+2.30+2.27+2.24+ ......... 1.015) X=$5000/(2.44+2.40+2.37++2.33+2.30+2.27+2.24+ ......... 1.015 Problem 2: Solution Rate per month = 6.99%/12 = 0.5825% Total number of payments in 4 years = 12*4 = 48
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  • Spring '18
  • Saleem Malik
  • Payment, Harshad number, payments, P.v, F.V

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