作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
5 P! }% S3 q  P5 r8 c, ^- t0 Smonths respectively from the date of the agreement. With each payment, Louise
+ @6 I5 b8 c, U' ^" J1 @, y5 y* fagreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
% b3 l! @3 p. ~1 Jfailed to make the first payment and now wishes to settle her obligations with a
4 f9 {- f' @' g" U; vsingle payment four months from now. What payment should Thelma be willing to
( W0 S+ N& t' K1 r; y7 \7 _4 v0 H! B9 Taccept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
3 e. Q9 o: h0 D5 q+ P                Month 0        Mon. 8                  Mon. 12
. i8 b; I5 Z7 y# z1 c" U1 q& TCash Principal        X        -750                  -950       
" O, m7 p2 _5 [7 T  K6 UCash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
3 n; H* l4 v  {$ aPV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
& H5 w+ h/ E. b( n1 n                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)
6 U; i$ ~! ]4 j+ w- Y6 K
these 3 should add up to 0, i.e. NPV at month 0 is 0.
" }% f4 ^7 o5 ?. }" j                                       
. h$ Z1 A  \9 D" W4 T) ZConclusion        X        =        1729.8               
1 W) \$ k5 S* S9 }6 S3 @3 |" K5 {                                       
& E7 h4 L* ]' f/ {% oSo, 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