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
' t* ]* ^! y; ]0 Iagreed 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
accept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
                Month 0        Mon. 8                  Mon. 12
$ B* u7 @" t0 @: N/ LCash Principal        X        -750                  -950       
  K( B1 s$ Y& e' y( c5 RCash 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)
; ~7 [: l# ~7 o8 U0 S
these 3 should add up to 0, i.e. NPV at month 0 is 0.
$ T+ E+ t4 @1 w4 B( d  R                                       
& |  s5 {5 a9 n: T( a2 l! QConclusion        X        =        1729.8               
& R: @9 C2 s8 e4 l+ {; L                                       
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