作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
7 r& N1 y4 ^, P, S/ X' Xmonths respectively from the date of the agreement. With each payment, Louise
. l+ g# p. u% C* ^" q, H" g; f8 tagreed 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
, q, D' R0 k0 Dsingle payment four months from now. What payment should Thelma be willing to
/ ?2 i0 m( U8 a  A7 i: h1 ~0 Zaccept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
                Month 0        Mon. 8                  Mon. 12
Cash Principal        X        -750                  -950       
+ _4 B; ?" B1 O3 x) r& f% gCash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
$ m6 {3 S" I4 CPV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
2 W& \" v+ C4 T' K& p/ B' l                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)

/ u7 d+ L$ N1 G# R( w% Ithese 3 should add up to 0, i.e. NPV at month 0 is 0.
                                       
6 s; M- D7 J9 p. p, Q/ s7 BConclusion        X        =        1729.8               
/ z4 ~1 w+ y/ p. ]( q! [) p                                       
/ R! @$ B9 Z8 A" z, H5 N& oSo, 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