作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
: W4 C3 |; r! P. B; _months respectively from the date of the agreement. With each payment, Louise
agreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
failed to make the first payment and now wishes to settle her obligations with a
! `7 E6 Z+ F$ [* |single payment four months from now. What payment should Thelma be willing to
4 j9 ^: u6 |7 Yaccept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
' ~- y! B6 R- e5 _7 U                Month 0        Mon. 8                  Mon. 12
- T" s6 m: z  V0 b7 m8 r8 QCash Principal        X        -750                  -950       
4 B( @: i& v( v' j9 rCash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
# H; k! R& F! ]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.
9 p9 ?- o# Y4 h  P/ `                                       
Conclusion        X        =        1729.8               
                                       
# z. h2 J$ q. R) N+ K( S+ CSo, 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