作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
) X* a1 t7 ?5 x" L, imonths 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
- b' ?' r: c& B+ R& q' R. Wsingle 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                                       
7 o2 j, k) ]8 X                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               
& M' I' D9 G9 O' t' C; A7 tPV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
  x0 X- |( t4 G* }: ~                                                 /(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.
3 T+ p: `; U+ [! E& [4 @* a4 ~, h                                       
# Y( |# B  O( q6 c: E+ R+ |$ b& hConclusion        X        =        1729.8               
                                       
% P/ k4 J0 }' g- wSo, Initial borrowing was        1730        *(1+7.5%)        1859.5        approx.         $1,860
& k$ I9 U7 l3 x. Q& L  o

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