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
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
- o+ Q  }: }9 b7 m1 t0 |; ]accept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
                Month 0        Mon. 8                  Mon. 12
8 d( B. m* y9 h; E: GCash Principal        X        -750                  -950       
Cash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
! N5 z' w  ?* C# [1 DPV 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)

6 _  R8 x" r; {3 k( R) N* Qthese 3 should add up to 0, i.e. NPV at month 0 is 0.
                                       
/ m! o/ e3 ]: s9 J! B" _Conclusion        X        =        1729.8               
                                       
+ r1 |: ~  {* \% pSo, Initial borrowing was        1730        *(1+7.5%)        1859.5        approx.         $1,860
8 x6 [3 m) 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