作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
months respectively from the date of the agreement. With each payment, Louise
* _! f: I4 \+ R2 I- \4 S! V3 O- Iagreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
! F' x7 [$ R, w' M! f, lfailed to make the first payment and now wishes to settle her obligations with a
3 |% w# v6 {6 S2 H8 F, Asingle 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
/ C! n6 |2 {6 X6 p( BCash Principal        X        -750                  -950       
4 `6 j: c3 ], Z% P7 pCash 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]
8 x8 p" A! A0 Y5 Z3 ~; T5 b                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)
8 S* ]; @5 m- T) T) t9 m: y
) a/ U3 x7 \' o+ F2 U# p! jthese 3 should add up to 0, i.e. NPV at month 0 is 0.
; `/ w2 b& L1 N* @& f% G                                       
Conclusion        X        =        1729.8               
                                       
6 q$ S+ b: ]5 o" A  `6 |0 Z0 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