作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
7 Y1 C3 m4 z7 w  Q5 i" O; F# v! Omonths respectively from the date of the agreement. With each payment, Louise
agreed 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                                       
7 x  |3 ]6 i. r4 [$ J. `                Month 0        Mon. 8                  Mon. 12
- m! Y3 k; k& X  t5 g$ R& sCash Principal        X        -750                  -950       
3 v* s9 q/ [8 f/ h! _. _) f0 O) W' tCash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
9 h2 I$ \6 M) x2 a4 I# @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)

; I, \  `1 t0 m. _  G' A7 Jthese 3 should add up to 0, i.e. NPV at month 0 is 0.
, G* n+ p6 R7 G6 g                                       
5 l- e6 X" ]3 v  e; uConclusion        X        =        1729.8               
                                       
5 m1 Z2 ?, t, \. X/ e# p5 x  [* j0 ESo, 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