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
8 m. j( Z1 m4 n6 X8 f' y, Hagreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
( N3 [: }% G" T8 |: q  s5 A8 j' cfailed to make the first payment and now wishes to settle her obligations with a
  h; N  B2 Q; C0 t' [; Gsingle 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                                       
  \9 ]2 S0 C9 ~0 Z' c                Month 0        Mon. 8                  Mon. 12
- \) G  k: d# \+ \Cash Principal        X        -750                  -950       
$ j- i7 v7 f; h0 }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]
$ b/ G; @( j8 D& B" M                                                 /(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.
$ W* k: [! I6 N9 w" Q  G1 C. v                                       
2 L$ k) I1 D; F0 K8 _6 \3 hConclusion        X        =        1729.8               
                                       
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