作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
  r: f9 m) d- gmonths 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
1 H( |0 D6 e8 ~3 m+ m) W# |failed to make the first payment and now wishes to settle her obligations with a
6 b1 D( K/ b+ t/ r4 Zsingle 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                                       
' i! p; }0 K6 V& T                Month 0        Mon. 8                  Mon. 12
Cash Principal        X        -750                  -950       
" a/ B5 O2 M. Z- v3 C. J1 WCash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
- _6 Z: S3 c3 `& U% x6 |PV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
- r; @& G" s2 m8 F0 b                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)
& m- N& o- E7 s
these 3 should add up to 0, i.e. NPV at month 0 is 0.
- Q) x+ Q1 z$ E2 b5 j0 ]                                       
Conclusion        X        =        1729.8               
: G" L! W2 i: i( O5 d                                       
So, Initial borrowing was        1730        *(1+7.5%)        1859.5        approx.         $1,860
$ W. |7 R* A, g: i5 G

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