作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
6 l2 ^+ ?! o  h* G& L: n- cmonths 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
failed to make the first payment and now wishes to settle her obligations with a
3 y8 {1 e& o/ O* msingle 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                                       
                Month 0        Mon. 8                  Mon. 12
) x- _. e. @+ x' v7 D% lCash Principal        X        -750                  -950       
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]
1 Y; ]4 K0 b# t+ b                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)
$ X1 ]& g# j; e6 h8 Y+ }( E
2 m/ z( @6 X( U0 K; ythese 3 should add up to 0, i.e. NPV at month 0 is 0.
                                       
5 V. Q- R' X; K: J: j9 d7 [Conclusion        X        =        1729.8               
; r4 a4 E6 m6 f) h                                       
So, Initial borrowing was        1730        *(1+7.5%)        1859.5        approx.         $1,860
# T$ o6 v& X6 R9 A* M% w

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