作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
months respectively from the date of the agreement. With each payment, Louise
0 l/ L9 E6 A) ]  q5 Nagreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
. I$ ~" O" s9 H# _2 [failed to make the first payment and now wishes to settle her obligations with a
. B# I' |8 c) y7 T  J6 Gsingle payment four months from now. What payment should Thelma be willing to
- E& y$ k2 W5 u* i* h' E- vaccept 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 k9 \; a  J$ sCash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
PV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
8 w* v$ l: O6 z8 I; \5 O0 R                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)
" U- I" r5 \: t
these 3 should add up to 0, i.e. NPV at month 0 is 0.
8 N. u) ?! B: Y( s                                       
3 `8 H3 K+ B$ A1 f% }% yConclusion        X        =        1729.8               
                                       
So, 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