作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
1 o  @8 I0 L) j, y( _* r' F  gmonths respectively from the date of the agreement. With each payment, Louise
/ k$ b$ L7 T( T" r8 \+ Aagreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
2 B) O8 ]5 o2 |; M2 Qfailed 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
; G6 C+ i  W# h: y, j1 Faccept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
: ]" |( Q& s4 R9 I; M2 \                Month 0        Mon. 8                  Mon. 12
Cash Principal        X        -750                  -950       
+ ~8 i/ }9 Y5 A4 y7 d" r! ]Cash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
) X0 T  j' f: O8 B. X  `; r5 rPV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
# i% n' f. g# `. h# ]1 h6 U                                                 /(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.
$ t/ V; j7 |1 W- m$ P                                       
4 N2 t5 B& @: i& {Conclusion        X        =        1729.8               
                                       
So, Initial borrowing was        1730        *(1+7.5%)        1859.5        approx.         $1,860
: {$ u0 G* h; u" S2 _% t5 ~

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