作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
: ?- l( p% k0 b+ u4 ^1 {months respectively from the date of the agreement. With each payment, Louise
* n( I7 ~4 U4 R5 {agreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
+ Y9 R( t3 \( q* Gfailed to make the first payment and now wishes to settle her obligations with a
* z6 t* Z+ P$ f' c! }single payment four months from now. What payment should Thelma be willing to
; Z3 P0 g+ k/ U# X; k: L" O" |accept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
                Month 0        Mon. 8                  Mon. 12
3 N/ I1 E8 d+ o5 T+ }+ T1 mCash Principal        X        -750                  -950       
Cash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
" W2 j8 H1 K! J" d. U7 aPV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
% i- o. s% D# R( r                                                 /(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.
                                       
Conclusion        X        =        1729.8               
+ h- \' I, I5 f* ]                                       
7 }8 }' O5 |6 S* c: Z6 ^1 OSo, Initial borrowing was        1730        *(1+7.5%)        1859.5        approx.         $1,860
/ j; \6 F+ @  N& m0 X

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