作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
( D# I9 M8 s" f" imonths 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
; L8 J& K: u& s: I( ]+ Zfailed 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
7 ^+ E7 m9 E1 e- n3 xaccept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
) w6 n. x: w8 J* O, V5 \2 C" ?8 r                Month 0        Mon. 8                  Mon. 12
Cash Principal        X        -750                  -950       
2 N" ^  p# c8 b# T, C8 DCash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
. F9 t# ]; _3 z. lPV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
; l# F" o( g. U9 q# z! h                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)
9 }$ ], Z8 g; T
these 3 should add up to 0, i.e. NPV at month 0 is 0.
                                       
3 O- t$ c/ H2 ?3 h' uConclusion        X        =        1729.8               
                                       
& u: H- Z/ f, T& Z0 e! X6 \# ySo, 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