作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
% |. B3 I9 f3 z, rmonths respectively from the date of the agreement. With each payment, Louise
agreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
) C* i+ F' V1 j5 p; v' Pfailed to make the first payment and now wishes to settle her obligations with a
# w3 X$ [% u6 N# S7 Ssingle payment four months from now. What payment should Thelma be willing to
, G9 C8 F( k2 v* _$ gaccept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
& E# U; v& O/ w" S8 G+ l1 g                Month 0        Mon. 8                  Mon. 12
Cash Principal        X        -750                  -950       
) j& H6 \2 e6 `- c( G- ?Cash 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]
, k, c% X' a) V2 N! A) k. d# G4 a5 h                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)
( r2 g$ o2 b' H' X* J# j
these 3 should add up to 0, i.e. NPV at month 0 is 0.
2 {3 r. K2 z. G3 C                                       
Conclusion        X        =        1729.8               
: t* G# K4 n8 K" X                                       
: T' P+ j1 ~$ O6 I. \! @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