作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
months respectively from the date of the agreement. With each payment, Louise
agreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
failed to make the first payment and now wishes to settle her obligations with a
. m$ x  p" C. B+ L1 M" Q1 x. Gsingle payment four months from now. What payment should Thelma be willing to
* [( V9 M+ @0 O7 {% Y/ y+ Saccept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
                Month 0        Mon. 8                  Mon. 12
0 e% W, h2 b- ^9 ~: H& jCash Principal        X        -750                  -950       
: ?3 N5 v  l+ n$ K- B/ ACash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
7 L% Y% m- k& V: BPV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
! \7 m! q' F: m" b/ f2 u                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)
, J. [) m0 P3 C- Z/ }" t4 O  T
  Y& ^; o0 y4 y7 x; L# lthese 3 should add up to 0, i.e. NPV at month 0 is 0.
                                       
Conclusion        X        =        1729.8               
                                       
- G' Q. }( h8 BSo, 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