作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
3 c- C' k6 m7 {" Z$ G, h6 ]months respectively from the date of the agreement. With each payment, Louise
$ R  l+ m: u$ zagreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
9 j9 s' b3 ~" b  u/ bfailed 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
1 l6 K# b. W8 vaccept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
( q' c* F" s, u8 \                Month 0        Mon. 8                  Mon. 12
Cash Principal        X        -750                  -950       
% x* E1 B  W% Z( G0 TCash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
7 d1 G5 S# z$ r5 @/ WPV 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)
; r. o+ ?, D% [( i0 \+ i
these 3 should add up to 0, i.e. NPV at month 0 is 0.
                                       
: g& G# W, o: EConclusion        X        =        1729.8               
                                       
So, Initial borrowing was        1730        *(1+7.5%)        1859.5        approx.         $1,860
, ^1 ]% `: a, c& B1 {$ h

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