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
" y& H7 `: a# S% Uagreed 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
single payment four months from now. What payment should Thelma be willing to
& e& ?9 j5 W8 f# ~7 ~8 R# K" t& Uaccept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
                Month 0        Mon. 8                  Mon. 12
Cash Principal        X        -750                  -950       
6 x7 _, o1 t( x. x; J- `9 O) eCash 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+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               
                                       
  I0 U4 b7 ^; ~, P1 Y5 NSo, Initial borrowing was        1730        *(1+7.5%)        1859.5        approx.         $1,860
5 I9 p- K( T" D; 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