作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
: q) f% F. m8 _/ xmonths 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
2 m) y8 M6 Y" ^single payment four months from now. What payment should Thelma be willing to
" Q, B, H; \- O" g" B. Zaccept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
# p* \. V& g# X! S                Month 0        Mon. 8                  Mon. 12
$ l- N* _9 [3 e$ k4 Z' CCash Principal        X        -750                  -950       
Cash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
. e) C$ o( X2 b. W# YPV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
                                                 /(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.
                                       
7 C  G9 G4 }+ t/ x0 G! ~Conclusion        X        =        1729.8               
                                       
* l0 f/ W+ e" }  D3 YSo, Initial borrowing was        1730        *(1+7.5%)        1859.5        approx.         $1,860
7 R# Z& p- ?& k( q. A* C8 M

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