作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
4 v; D: u) t- c! n7 B  Wmonths 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
7 _* b8 `" G% K& W3 G) lsingle 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
Cash Principal        X        -750                  -950       
: o) ^- A' S4 Y  ECash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
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)
, A* g9 u8 Z/ X, a: z0 n' Y* [& ?, p
% `- v9 |2 |; M* l) ]1 |0 dthese 3 should add up to 0, i.e. NPV at month 0 is 0.
                                       
Conclusion        X        =        1729.8               
( K8 c- U; z# a6 U/ ?                                       
So, Initial borrowing was        1730        *(1+7.5%)        1859.5        approx.         $1,860
# |7 U( C9 t! s3 G! X" R2 `; b( c" S

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