作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
* M" x- y0 W, l2 t% V) `  smonths respectively from the date of the agreement. With each payment, Louise
9 y7 ~. r9 Q8 r. r4 ~9 ~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
accept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
) N# g& f" S+ A4 x+ N                Month 0        Mon. 8                  Mon. 12
Cash Principal        X        -750                  -950       
Cash 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]
8 R: C, }2 V4 @1 T* v2 f+ A                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)

these 3 should add up to 0, i.e. NPV at month 0 is 0.
- Z2 _  S- D$ w, h                                       
+ K6 Y4 |6 w3 A3 @# GConclusion        X        =        1729.8               
  t5 I1 q8 l. v# Y& \                                       
1 O: f  d" p* I2 y+ DSo, 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