作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
3 J& |% _* C0 K: amonths respectively from the date of the agreement. With each payment, Louise
+ S! t1 K' ^# f( I: f! D2 M1 }agreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
$ A7 M7 m' r4 |failed to make the first payment and now wishes to settle her obligations with a
, s7 H( v6 K# @$ R/ Q. rsingle payment four months from now. What payment should Thelma be willing to
1 i" u  b. _' i2 z0 Iaccept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
9 ?9 V: W4 l% R, N                Month 0        Mon. 8                  Mon. 12
5 q. F4 e! ~* ]/ K' i4 RCash Principal        X        -750                  -950       
! i9 I9 r8 R* K% M" }Cash 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)
3 \) R% d: T2 J3 Q" ?' J
# }: o7 ~$ x- q5 b3 vthese 3 should add up to 0, i.e. NPV at month 0 is 0.
                                       
2 V* D/ c$ x2 f6 v9 B# `& QConclusion        X        =        1729.8               
                                       
3 ]7 p/ {0 G( H+ P9 j% K- fSo, Initial borrowing was        1730        *(1+7.5%)        1859.5        approx.         $1,860
' G( w! |% j7 c" s

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