作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
* ?! e3 e2 F/ ~' l8 Fmonths 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
accept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
                Month 0        Mon. 8                  Mon. 12
5 C) }  l: J) {* r7 ICash Principal        X        -750                  -950       
  b0 @: R8 i$ @: K$ \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]
7 }, @; M6 l; `) f' p                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)

) x$ i4 C0 }2 s9 i. Nthese 3 should add up to 0, i.e. NPV at month 0 is 0.
7 f0 q5 _; E* _! q0 z, b' y                                       
/ H. _, k5 L( D5 g$ y" m  Y2 a4 B, nConclusion        X        =        1729.8               
& ~7 o" ]/ P3 U                                       
9 n& D' J4 V" [  u  r+ `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