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
% c8 @8 L, ^% }single payment four months from now. What payment should Thelma be willing to
+ f% A% ?* H1 F: W) u0 iaccept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
  {0 h( O3 K  y% m* T' G                Month 0        Mon. 8                  Mon. 12
5 U: a9 I( L5 Q8 I6 K9 G* |$ {; sCash Principal        X        -750                  -950       
% B! V" m3 S) d" BCash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
  I" Y) {& K/ I& N* w& RPV 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)

" z& T5 q' p! D; J3 [these 3 should add up to 0, i.e. NPV at month 0 is 0.
9 s! {6 r+ P  Q% x' I/ }+ I1 y                                       
Conclusion        X        =        1729.8               
                                       
; t& s3 t$ h5 K; K- _+ `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