作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
months respectively from the date of the agreement. With each payment, Louise
agreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
5 l8 P1 P3 A# i* `; S5 kfailed to make the first payment and now wishes to settle her obligations with a
, C: Y# b/ {$ h2 bsingle payment four months from now. What payment should Thelma be willing to
: y/ }0 I9 K0 d# Daccept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
                Month 0        Mon. 8                  Mon. 12
Cash Principal        X        -750                  -950       
2 o: |3 n* z& @  G) \1 WCash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
7 Y0 [9 U! T! r% g( ]0 ZPV 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)

; |$ @. b3 b8 i3 Ethese 3 should add up to 0, i.e. NPV at month 0 is 0.
) \5 \, a2 m6 d0 z0 ]0 M$ g                                       
Conclusion        X        =        1729.8               
                                       
- `* C5 E7 }/ {1 _7 WSo, 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