作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
% M' b7 M1 E" a& f0 `, R# S; F% Nmonths respectively from the date of the agreement. With each payment, Louise
" ~7 B  F* [, p  w) m# \agreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
+ E- ?( F5 d) ]$ h4 i3 F8 xfailed to make the first payment and now wishes to settle her obligations with a
% q" p( @0 ^+ D4 M* psingle payment four months from now. What payment should Thelma be willing to
6 J' K( K& [* L4 g8 oaccept 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       
Cash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
' \2 P0 ?% G6 {* |# @4 o3 {PV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
& G$ D5 r4 a, R8 A' h                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)
7 `, w- O8 S( X% ^8 ~
0 j$ y' A  ^8 J5 ethese 3 should add up to 0, i.e. NPV at month 0 is 0.
                                       
Conclusion        X        =        1729.8               
                                       
So, Initial borrowing was        1730        *(1+7.5%)        1859.5        approx.         $1,860
; L3 `! C+ M) S, h* Q

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