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
, `+ x# n0 `% W8 Nsingle 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                                       
) D& T( f. l0 {  g9 [% E6 |0 \                Month 0        Mon. 8                  Mon. 12
2 p3 P/ r2 C* m# A8 ?/ t  @: _8 hCash Principal        X        -750                  -950       
9 Z# \, ^" n1 `) @) e+ |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]
                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)
2 k8 l7 k; Y; j7 i. G$ s& T
these 3 should add up to 0, i.e. NPV at month 0 is 0.
3 d9 x( z( D  L" O5 Y  i+ ?- T                                       
Conclusion        X        =        1729.8               
                                       
6 J- ?" X* p# b+ c' K4 M% OSo, 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