chapter11.PDF
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- うのすけ ちゃわんや
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1 11.
2 /15 12/ /10 3/ = = = /12/20 99/12/ /6/
3 =
4 % n
5 n % 5/ /27 8/10 11/27 5/27 8/ = ( ,000,000) = 1,130, ,130, = ( ,000,000) = 904, ,109 ( )
6 1,130, , ,027 ( 1) ( 2)
7 n R 2 R 2 + R n + 1
8 %, / = ( ) , ,469 44, , ,469, ,697,260 ( ,000) R 2 + R 1 n R n + 1
9 ( 2 ) n R 2 n1 R 2 + R 2 n1 n n n1 R 2 n1 n 1
10 < > 5.0% / /2/20 96/3/27 96/8/ ( ) = /2/ /3/ /8/ ( ) = , ,054 4, ,549 46,961
11 , ,000 2 ( ) ( ) 1 ( ) 8 ( ) 8 ( ) 8 1 ( ) 1 WB ( )
12 (18%) ( ) (10,000 ) 10,000 < > % (2000 ) (10,000 ) 10, = ( ) 587 ( ) 10, = 9,413 9,413
13 18% = ( ) 105 ( ) 10, = 9, T S = 1 + nr T = S = 1 + nr r = - S S n < > (2000 ) 99/5/10 ~ 00/3/ r = - S S n = = < > % (2000 ) 99/5/288 ~ 2000/3/27 304
14 S = 1 + nr = = ( ) ( ) ( 2 ) = = S = + ( ) 1 + nr = 12
15 ( ) ( ) < > 2000/6/ /5/28 ~ 2000/6/ /6/ /4/28 ~ 2000/5/ /6/ /3/30 ~ 2000/4/ /6/26 ~ 1999/7/ ( )
16 < > % 18% % (2000 ) 10, = ( ) = ( ) /29~5/ = (4 ) = /7/29 ~ 2000/5/ =
17 11.3. ( ) 2 ( ) ( + 1 ) ( ) ( ) ( ) = (%)
18 < > B % /25 9/ % = { ( ) ( )} = ( ) = = (%)
19 E: S: : : E = S * (1 + nr) S = E 1 + nr r = E S S * n ( ) E: S: : : Ps: Pe: E = (S + Ps)(1 + nr) - Pe S = E + Pe 1 + nr Ps r = (E + Pe) - (S + Ps) (S + Ps)n
20 S E Ps n Pe S + Ps E + Pe S + Ps r n (E + Pe) E + Pe = (S + Ps)(1 + nr) E = (S + Ps)(1 + nr) Pe < > A 10 # % 3/ /20 8/ % (3/20) S (8/20) E (8/30) Ps = = ( 8 ) Pe = = ( 8 )
21 (1,000,000, ) = = 26,827,397 = 1,000,000, = 999,000,000 = 999,000, ,827,397 = 1,025,827,397 1,025,827,397 E = ((S + Ps)(1 + nr) - Pe) = ( )( = ) (1,000,000, ) = = 28,580,821 (1,000,000, ) = = 999,313,000 = 999,313, ,580,821 = 1,027,893,821 1,027,893,821 < > (1,027,893,821-1,025,827,397) (1,025,827, ) = %
22 ( ) R R: 1 R, 2 2 E = S(1 + nr) + Ps(1 + n1r) - (R + Pe) S = r = E + (R + Pe) - Ps(1 + n1r) 1 + nr (E + (R + Pe) - (S + Ps)) Sn + Psn1 S E Ps n1 Pe n ( ) E = (S + Ps)(1 + nr) - Pe (S + Ps) (S) (n ) (Ps) n E + R + Pe E + R + Pe = S(1 + nr) + Ps(1 + n1r) E = S(1 + nr) + Ps(1 + n1r) - (R + Pe) < > # % 3/ /30~9/30 7.3% (3/20) S (8/30) (9/20) E (9/30) Ps n1 Pe
23 n = 31 n1 = 21 Ps = (3/20~8/ ) = Pe = (9/20~9/30 10 ) = nr = = n1r = = E = S(1 + nr) + Ps(1 + n1r) - (R + Pe) R = 3.2 < > E = ( ) + ( ) ( ) r = = E + (R + Pe) - (S + Ps) Sn + Psn = ( ) - ( ) ( * 31 = ) + ( * ) > (1,000,000, ) = 1,753,424 1,000,000, = 1,001,148,000
24 1,001,148, ,753,424 = 1,002,901,424 1,002,901,424 (6.4 1,000,000,000) 9/20 (2 ) = 32,000,000 32,000,000 ( 1,000,000,000) 1,000,000,000 ( ,000,000,000) = 28,580,821 1,002,901, ,000, r = ((1,002,901, ,000,000) (1,000,000, ,580,821)) (1,000,000, ,580,821) 31 = < % 7.3% 9/20
25 (E: S: n: r: ) E = S(1 + nr) S = E 1 + nr r = E - S Sn ( ) (Ps: Pe: ) E = (S + Ps)(1 + nr) - Pe S = E + Pe 1 + nr - Ps r = (E + Pe) - (S + Ps) (S + Ps)n S E Ps Pe ( ) (R: 1 R R 2 ) E = S(1 + nr) + Ps(1 + n1r) - (R + Pe) S = r = E + (R + Pe) - Ps(1 + n1r) 1 + nr E + (R + Pe) - (S + Ps) Sn + Psn1 S E Ps n1 Pe n
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