作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
% X* h, E0 ?+ H6 _$ I8 ~6 omonths respectively from the date of the agreement. With each payment, Louise
, @" D+ E* I$ i$ l7 c. xagreed 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                                       
* k# N' p. G! u" N7 S5 R$ O* V0 f                Month 0        Mon. 8                  Mon. 12
. \* A2 x0 q2 S1 i$ c: [' jCash Principal        X        -750                  -950       
; l7 x9 Z* I2 X4 r! e2 S+ m; iCash 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]
0 C  M; D5 X8 A  N3 V3 V* N) ]* h9 D                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)
+ @. q7 N* N; G- ~4 a& Z
) ]% x! X+ w& u* D' ?, n& I& \these 3 should add up to 0, i.e. NPV at month 0 is 0.
                                       
4 V8 H: I/ [, dConclusion        X        =        1729.8               
                                       
So, Initial borrowing was        1730        *(1+7.5%)        1859.5        approx.         $1,860
* b! z! \7 R4 ]5 C- V4 @

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