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
, w  D. E" G( I( x) Cagreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
3 x/ u# ?3 b2 b* c, A; ^, ]9 @! A0 |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                                       
  Q" }# L' C2 u) T/ P3 G                Month 0        Mon. 8                  Mon. 12
Cash Principal        X        -750                  -950       
) F7 C. k8 o7 XCash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
% g1 @6 Q: S' p* Y$ [4 d/ ]PV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
2 d# b( O) C5 n0 X- T% q                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)
# x) u6 t5 z0 ^) {9 y
these 3 should add up to 0, i.e. NPV at month 0 is 0.
                                       
" y, U  o8 f! T0 N9 [  ~3 M4 }Conclusion        X        =        1729.8               
                                       
) I( d, K! N* MSo, 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