作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
' I$ {7 @+ e- h% I, \months 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
% ]: `/ ?6 F0 o  P; b( 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       
Cash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
2 ~. J2 S* N  o. r6 H3 a8 a3 IPV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
                                                 /(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.
: o* \& _0 ~' L* @& B% x  _' u                                       
+ h  u) M' y: Q+ S. F- C9 XConclusion        X        =        1729.8               
/ L4 G( L3 x; n6 Y. ?                                       
8 t+ O; |! U3 t' `) 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