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
failed 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
$ c$ u" y+ ^/ W" paccept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
: h) S( M% |# V% I                Month 0        Mon. 8                  Mon. 12
& ^/ w* D: C. oCash 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]
; n+ a4 p1 r5 l* L; M' P# k: H& Y$ H# x                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)

0 d3 J: j! B/ a: Zthese 3 should add up to 0, i.e. NPV at month 0 is 0.
                                       
( N; C4 G% I6 w: t4 NConclusion        X        =        1729.8               
2 m  O9 G& s4 s' P% ~- r9 P5 j2 _                                       
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