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
- T8 C7 F! k1 a' B+ R8 D' q  I' Vaccept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
                Month 0        Mon. 8                  Mon. 12
! V3 `* |  o8 ACash Principal        X        -750                  -950       
; n1 s) p4 r2 G% g- w1 u0 FCash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
: |( C# Q4 ^9 ~5 m5 K7 x/ w& n0 wPV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
& ~% W' x. F* _; V2 X                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)
( o7 v9 m: D6 h
these 3 should add up to 0, i.e. NPV at month 0 is 0.
                                       
6 @4 X1 G5 E+ S! LConclusion        X        =        1729.8               
: c; G* V8 D2 Q, C2 f- `. R  X                                       
So, Initial borrowing was        1730        *(1+7.5%)        1859.5        approx.         $1,860
6 N- k  ~; ^) L) W: O6 `

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