作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
) \- I( h9 X: p6 F% rmonths respectively from the date of the agreement. With each payment, Louise
" t& i/ ]" V' u) O* Cagreed 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
6 _- l: s; f" d: Z9 p9 N/ e  @accept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
1 p0 _( \+ ?0 |" i                Month 0        Mon. 8                  Mon. 12
Cash Principal        X        -750                  -950       
4 e  w9 c% g3 L$ j) YCash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
6 }' ~. T9 z9 E) }PV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
: a# E/ u; a2 ?8 t5 r8 ?4 E: t                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)
0 `6 b) f* y2 j5 c& p
! K5 s8 w1 Y: f5 n6 Qthese 3 should add up to 0, i.e. NPV at month 0 is 0.
, W. [( s8 E9 {# Z; J% D: l2 r  P                                       
9 L6 P5 w5 u, \7 H8 `/ sConclusion        X        =        1729.8               
) L5 g- z( E/ p: D. {                                       
So, Initial borrowing was        1730        *(1+7.5%)        1859.5        approx.         $1,860
6 Y5 R( G' y2 ?

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