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
3 b6 K3 c# f: `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
! ~4 C' d: H+ r" i6 I+ [1 msingle 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                                       
6 q3 w8 A1 f$ y% v                Month 0        Mon. 8                  Mon. 12
Cash Principal        X        -750                  -950       
" w' A$ ]5 f9 R& i5 u6 U7 O% h# qCash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
. u2 B9 B' l; G8 s# N* GPV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
3 {- V7 L( Z7 T: N                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)

, p+ V( q. W( {% n$ q/ r6 Wthese 3 should add up to 0, i.e. NPV at month 0 is 0.
                                       
4 z4 M/ ]+ b! F6 v# V& B% rConclusion        X        =        1729.8               
$ _8 }' d. [5 G, K. j                                       
2 D1 |. m  Q; FSo, 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