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
* D; _3 Q  K0 \: l( v+ dagreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
# S. g3 B" ^- B3 w- Jfailed 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
8 k( a7 I/ _: v8 V5 raccept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
! C6 P% i- f( d7 N                Month 0        Mon. 8                  Mon. 12
: W! C; j- b, u* g/ H9 dCash Principal        X        -750                  -950       
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)

- G: Y: I0 P2 R6 F  Cthese 3 should add up to 0, i.e. NPV at month 0 is 0.
# ~+ R# p) o# v                                       
, h' S/ s1 N8 o% s4 S4 t3 oConclusion        X        =        1729.8               
                                       
9 Z( ?* K) C# `So, Initial borrowing was        1730        *(1+7.5%)        1859.5        approx.         $1,860
& S0 Q4 g) t, m: }( k& K

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