作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
8 I# h3 b& x8 Omonths respectively from the date of the agreement. With each payment, Louise
8 X& A9 a# T& ]2 X/ Vagreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
- G1 ^" z$ `! `0 S2 Yfailed 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
accept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
7 c, ?; F- y! d8 C0 {* [: G4 b                Month 0        Mon. 8                  Mon. 12
+ T+ \7 l* L! i7 c) u  {+ ~Cash Principal        X        -750                  -950       
Cash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
/ I3 P6 H* d: [7 RPV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
8 a+ _3 t2 _' @* i0 }0 N                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)

these 3 should add up to 0, i.e. NPV at month 0 is 0.
                                       
% f, M) X4 T+ {- @. UConclusion        X        =        1729.8               
                                       
( l! G) z1 R) s  F, t1 USo, 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