作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
months respectively from the date of the agreement. With each payment, Louise
agreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
1 E" n5 t- n1 l) D( |- e& Xfailed to make the first payment and now wishes to settle her obligations with a
- q( Z  j' F$ O% Msingle payment four months from now. What payment should Thelma be willing to
4 F- x7 Z) U; b  }+ @, C) daccept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
                Month 0        Mon. 8                  Mon. 12
) V' ?% U6 S& @Cash Principal        X        -750                  -950       
1 ^, r/ Q, ?6 h' ~" 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]
                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)

+ e: v# U' ?* s+ X1 T+ r7 uthese 3 should add up to 0, i.e. NPV at month 0 is 0.
+ O, [3 t: o) s* p* J* _                                       
Conclusion        X        =        1729.8               
                                       
So, Initial borrowing was        1730        *(1+7.5%)        1859.5        approx.         $1,860
5 e8 a: H# R( i2 _  Q5 X1 E0 K

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