作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
months respectively from the date of the agreement. With each payment, Louise
! i% ?/ k3 M/ A3 _  Uagreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
failed to make the first payment and now wishes to settle her obligations with a
single payment four months from now. What payment should Thelma be willing to
accept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
                Month 0        Mon. 8                  Mon. 12
  J+ D' n7 P* B, x- ~Cash Principal        X        -750                  -950       
9 I# R& A0 y2 uCash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
! Z5 t0 _* Q* x- @PV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)
- |5 q2 f! a0 q: @* ~- v* _9 {
these 3 should add up to 0, i.e. NPV at month 0 is 0.
2 j* {8 v9 j8 N' b7 I3 G                                       
, l$ W' @* H' pConclusion        X        =        1729.8               
                                       
# l7 E( b  A' B3 [So, Initial borrowing was        1730        *(1+7.5%)        1859.5        approx.         $1,860

littledognancy

Finance 学得不好所以不知道做得对不对。。。看着办吧~ 也许有用。

linchan

对了，答案是$1856.32