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
* B6 R* h0 Y' j# {  B7 i4 o# z3 lfailed to make the first payment and now wishes to settle her obligations with a
6 t* J9 t0 C. i" J# l* t' u/ asingle 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                                       
  f+ |/ o% V5 `: h1 A( n. W                Month 0        Mon. 8                  Mon. 12
1 s0 g) B, p6 A$ H4 Q- D) PCash Principal        X        -750                  -950       
& x. d7 ~3 D6 K; G" eCash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
* ^/ U6 A, S6 B+ rPV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
# ~4 f% P0 l. K+ k8 J                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)

* Q2 ?5 {/ b. m6 k7 i) A, d& V7 |these 3 should add up to 0, i.e. NPV at month 0 is 0.
                                       
Conclusion        X        =        1729.8               
                                       
" M. z# ?+ E* u$ 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