作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
9 h$ P8 ~5 Y) e, H. A9 lmonths respectively from the date of the agreement. With each payment, Louise
) b* Y5 U" f/ dagreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
# m, j7 Z% U; {8 L( n7 zfailed to make the first payment and now wishes to settle her obligations with a
, _2 w/ m1 X: g2 \: Usingle payment four months from now. What payment should Thelma be willing to
3 O6 c. \+ f) J+ taccept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
                Month 0        Mon. 8                  Mon. 12
7 l2 A% b' O; J6 d' N* `6 i( QCash Principal        X        -750                  -950       
) a. ]2 r: t" ]0 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]
. p( q4 D5 i" @. k; F4 P2 |                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)
5 T* I. R. x  y5 ^( \0 x! Z. v
$ h; p6 }' E4 G! F) C& B+ ythese 3 should add up to 0, i.e. NPV at month 0 is 0.
                                       
/ M5 e. Z$ V6 h+ B3 K+ sConclusion        X        =        1729.8               
7 w5 |( q) T4 e: G- n2 B                                       
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