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
agreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
  p  q7 |+ v/ O% r& ffailed to make the first payment and now wishes to settle her obligations with a
1 i8 m% _3 z3 T4 p. S. h5 f! i; Psingle payment four months from now. What payment should Thelma be willing to
( F/ k( W5 a( J& B0 z- Saccept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
  {; s$ r, v, ~, c( ~                Month 0        Mon. 8                  Mon. 12
, e. `. Z# k* v/ bCash Principal        X        -750                  -950       
Cash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
# o; j0 s+ x* C& t6 WPV 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)
: g4 l9 N0 {. e( \# O3 |
6 }- m3 ^6 B, Mthese 3 should add up to 0, i.e. NPV at month 0 is 0.
, Z( T: |9 g: `0 s( f  y                                       
& g2 C, g# T' s8 L! ]Conclusion        X        =        1729.8               
9 T* B' o/ J  Z7 E                                       
1 h" {* z$ L: U( l3 vSo, 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