作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
months respectively from the date of the agreement. With each payment, Louise
; C& r4 o" `& bagreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
5 u1 y2 S' D6 }$ y* M2 t# {8 A& a- Efailed 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
: I  L8 o+ z, C* raccept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
6 y2 j( H; g4 [+ Y9 J5 v                Month 0        Mon. 8                  Mon. 12
' m8 a" W' p( N# m5 aCash Principal        X        -750                  -950       
8 o6 o5 d- R1 R' BCash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
6 ^- \8 h9 M: @  U5 kPV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
- G6 `5 \3 B# d0 E' w; R                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)
; z# r# X2 r& T9 x4 E& o' Q& y
these 3 should add up to 0, i.e. NPV at month 0 is 0.
                                       
- F+ g. J) F% W! l0 f  AConclusion        X        =        1729.8               
4 r# [3 W. e+ s  m( C                                       
" a/ O% M. d5 n$ k9 USo, Initial borrowing was        1730        *(1+7.5%)        1859.5        approx.         $1,860
+ y" o0 Y% ]% w# [4 H( K& T3 l/ K! ]7 i. Y

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