作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
* d2 f$ e# Y. V" S2 Fmonths 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
$ A5 C; Z: ?3 d* r2 Q& m# m5 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                                       
5 E5 H7 _# E9 j                Month 0        Mon. 8                  Mon. 12
" s6 ~, C9 B, OCash 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]
; o0 J/ ]  S3 ~2 C$ ^                                                 /(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               
. C0 M/ x4 e, |3 Q/ Q" K9 X! i% A                                       
# b$ V' t% [1 y9 z8 @So, Initial borrowing was        1730        *(1+7.5%)        1859.5        approx.         $1,860
( T% [* E0 g" T  d$ n: G7 D

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