作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
7 M" _, i9 Q; r7 W/ V- v+ }( vmonths respectively from the date of the agreement. With each payment, Louise
& {# D; Y; b" S/ b- ^8 q2 R- Magreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
  t. s. U/ Q* Y# e. S6 Bfailed to make the first payment and now wishes to settle her obligations with a
" R) o; I0 F) |) U& K( L0 jsingle 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
Cash Principal        X        -750                  -950       
  L# T$ M* w: F1 n4 ?Cash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
, k7 b1 i9 u$ F/ jPV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
) z: u" R. S( h' I3 ~+ W: K" b. V                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)
# d7 K3 T4 w7 \/ I! }
these 3 should add up to 0, i.e. NPV at month 0 is 0.
# W9 O8 }+ o  W5 X* ~                                       
# X; V! \' @6 xConclusion        X        =        1729.8               
2 u% R, a  O9 g3 k- N% y" y. o                                       
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