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
failed to make the first payment and now wishes to settle her obligations with a
* _. `5 B/ e# csingle payment four months from now. What payment should Thelma be willing to
. O0 j+ R7 F1 F5 u9 paccept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
                Month 0        Mon. 8                  Mon. 12
3 g1 `, G, S$ y# \Cash Principal        X        -750                  -950       
Cash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
1 k$ i0 x' R; n+ kPV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)

6 P3 H) z. F  N' g& x( mthese 3 should add up to 0, i.e. NPV at month 0 is 0.
8 j% m" Q" d: N. o( S0 c                                       
Conclusion        X        =        1729.8               
, `3 s8 J5 e) N5 N3 W, r; M                                       
So, Initial borrowing was        1730        *(1+7.5%)        1859.5        approx.         $1,860
/ x9 P' H/ M0 q  w. T5 P4 V

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