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
8 Z0 X- V  R  j- [5 a! bagreed 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                                       
                Month 0        Mon. 8                  Mon. 12
+ k% j% }; p9 H7 n5 s$ l8 L9 ]) Z# P6 [Cash Principal        X        -750                  -950       
! Q8 h. _+ E$ s& q* N6 b. P& _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)
3 |8 U; E8 @: v% o
1 F& R; \/ M% h2 d8 V( Gthese 3 should add up to 0, i.e. NPV at month 0 is 0.
3 l7 `7 n; _0 D& E# Z8 R6 w) b                                       
- p% o2 F# Y5 z- ~6 i: dConclusion        X        =        1729.8               
                                       
/ o3 d6 {# h, [. C! k+ d6 h( tSo, 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