作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
2 d9 T2 ]& P. U" f1 fmonths respectively from the date of the agreement. With each payment, Louise
. V# T( C* ~- ?9 ~& gagreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
. ?, Y; j. O! S: wfailed to make the first payment and now wishes to settle her obligations with a
$ u4 e% t/ q1 ^% G3 y( b$ Bsingle 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                                       
% w2 \  Z! z4 o9 @6 C                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               
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)

  o. g3 H* k& C9 }" h; Q) h* rthese 3 should add up to 0, i.e. NPV at month 0 is 0.
. c7 i% c' |; M# ~                                       
7 f/ ~- R, m9 EConclusion        X        =        1729.8               
) n* m- L9 R1 W                                       
So, Initial borrowing was        1730        *(1+7.5%)        1859.5        approx.         $1,860
# Z# l# a0 r: c  m' n: Z; }" R

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