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
: |( }9 ?7 x' E5 ]' X) \3 Yagreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
, Q+ P- T" a5 G0 K5 E% L2 u( ofailed 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
  z( D' B. V  Y& i' Q+ Zaccept 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       
Cash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
1 t9 A- {/ c' _7 @  EPV 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)

these 3 should add up to 0, i.e. NPV at month 0 is 0.
8 U2 M9 ~9 G* s                                       
Conclusion        X        =        1729.8               
) t& }$ D) _) n/ i! E: o  q( v2 v                                       
; n! }' K" w/ h7 q/ C( \So, 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