作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
2 y# x4 \  z5 L2 s& \7 r; G7 j6 Bmonths respectively from the date of the agreement. With each payment, Louise
) s. q: C# o6 G3 v1 f5 `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
3 l% c( |0 u; n1 y8 C! taccept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
                Month 0        Mon. 8                  Mon. 12
/ e  A9 ?9 w. B4 pCash Principal        X        -750                  -950       
' D$ k( [1 p6 |( M9 F4 BCash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
/ q2 K- Q6 O; w$ l9 v# p' w5 N( QPV 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)

" f! f8 j# V' ]* S+ @4 h0 Gthese 3 should add up to 0, i.e. NPV at month 0 is 0.
# P. m, E! v: y                                       
Conclusion        X        =        1729.8               
                                       
  l+ @( ~  l! C8 m& m5 I6 ^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