作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
" n& l! A7 A. N$ q4 y. [months respectively from the date of the agreement. With each payment, Louise
) S7 B7 s: n* J+ J2 I- F" K! _agreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
6 t+ T, w9 @$ F. h, z% e3 D' x9 b2 Vfailed to make the first payment and now wishes to settle her obligations with a
. O$ `2 U$ j/ M$ t2 @6 Jsingle payment four months from now. What payment should Thelma be willing to
$ y2 ^) j: N- `. o  Naccept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
                Month 0        Mon. 8                  Mon. 12
# _- N& A: `7 z6 M: s7 @Cash Principal        X        -750                  -950       
# j& T; \! l7 `* u3 l8 V& ACash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
4 F+ @4 ^, \( F0 LPV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
3 h) w0 M0 J) O7 v                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)
6 o+ x! ?, y: I/ X/ I' G' _3 P
2 V0 G) X/ \; d% S" a7 vthese 3 should add up to 0, i.e. NPV at month 0 is 0.
                                       
) [2 }" M4 G1 oConclusion        X        =        1729.8               
                                       
So, Initial borrowing was        1730        *(1+7.5%)        1859.5        approx.         $1,860
& N8 r0 M! H" I3 o* o; Y

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