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
0 H) Z- X( [+ D& H9 Dagreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
; J  A" r6 A. ?3 e2 Y2 Ufailed 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
( r5 o  l" c7 J0 Waccept 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       
: k7 h- v5 t  L: \; _* W" [8 yCash 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]
: _/ T3 }9 F+ `! C- g+ }6 F                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)
. F2 Y" j- T9 f4 W; l
these 3 should add up to 0, i.e. NPV at month 0 is 0.
                                       
! V& s' V$ `) o" h: R' DConclusion        X        =        1729.8               
4 y, l7 n0 p  P                                       
, l7 H3 Q- b/ i/ g9 eSo, 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