作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
, L- k6 B; r! ^+ U3 Lmonths respectively from the date of the agreement. With each payment, Louise
! g7 u+ g' [. x2 v+ J' q0 Bagreed 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
) g  W4 p( y( N) ^( Ksingle payment four months from now. What payment should Thelma be willing to
accept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
                Month 0        Mon. 8                  Mon. 12
! ~& u* |( n* C, D8 \3 K# S/ t2 K) ECash Principal        X        -750                  -950       
/ b3 g# h9 P5 _7 a7 B$ t- ?' o1 aCash 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]
2 ?! o, {* B0 Y$ O2 E+ G: f3 l                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)
8 i& R7 S$ s* j- Q  n
( B) j+ I4 Z/ v3 Fthese 3 should add up to 0, i.e. NPV at month 0 is 0.
# d3 J/ @; k9 r. N. I9 [                                       
7 W- s% k& F8 ]& DConclusion        X        =        1729.8               
                                       
6 J/ v3 K/ [% I; oSo, Initial borrowing was        1730        *(1+7.5%)        1859.5        approx.         $1,860

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