作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
; n% Q% s0 |* M& K% mmonths 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
5 J2 r7 |& e7 Y3 d# O6 `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       
0 V! S* r  [( ~- |Cash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
) N2 [2 j* l/ G2 qPV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
. T# e' [" I+ W. Q. o( U                                                 /(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.
! y0 A, y2 o2 y2 f0 B5 A; b                                       
- v0 X6 C: r6 A  L: L9 IConclusion        X        =        1729.8               
                                       
' Z: ]+ i  x+ m! G" Q3 z3 u% b4 [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