作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
3 o# X8 Y) t# ?+ r. c8 ]0 B4 p# Rmonths respectively from the date of the agreement. With each payment, Louise
8 u1 t5 A8 E/ J$ ^; o( i: x" Magreed 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
accept 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       
; R; R% j! a$ A; W7 @Cash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
; Q3 W( _# P! S6 FPV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
, E: S* O! f  P0 ?) U) u$ t& v# p                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)

6 I7 Q8 c: \0 ^/ Z# U3 c% i- othese 3 should add up to 0, i.e. NPV at month 0 is 0.
) L- Z) H5 _% B& y. n                                       
Conclusion        X        =        1729.8               
                                       
' @& o- c# f( q- b) zSo, 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