43 201237pp.43-49 H19 2011 H23JST 2 2 1917 1 2 3 21022 4 5 6 7 451 2 1002%6 23JST
1 2 Ar S S=A(1+r) d=ar 1 1002%10 3401077 1/1 100 0 100 1/ 100 0.02 102 +2 2/ 100 0.02 104 +2 3/ 100 0.02 106 +2 4/ 1.02 2 S=A(1+r) 1+r 1 1 1/1 100 0 100 1/ 100 0.02 102 1.02 2/ 102 0.02 104.04 1.02 3/ 104.04 0.02 106.1208 1.02 4/ 60 5 120 10 11.02 60 3 1 0 2 1 0 0 = = 100 1.02 2 = 100 1.0234 1992 1.02 Excel 2%16 12 3 4 1 15 2 14 3 13 1 1/ 1 5 11+0.02 5 2/ 1 4 11+0.02 4 3/ 1 3 11+0.02 3 1/ 1 5 11+0.02 5 2/ 1 4 11+0.02 4 3/ 1 3 11+0.02 3 44
1+(1+0.02 1)+(1+0.02 2)+(1+0.02 3) +(1+0.02 4)+(1+0.02 5)=5.3 1+(1+0.02)+(1+0.02) 2 +(1+0.02) 3 +(1+0.02) 4 +(1+0.02) 5 =6.3081 1 2 2 2 60 120 S S=1 +1.02+1.04+1.06+1.08+1.10 +S1.10+1.08+1.06+1.04+1.02+1 2S2.10+2.10+2.10+2.10+2.10+2.10 2.102S2.10 6 S2.10 6/2=5.3 A B d S S (A+B) 2 (2 A+(1)d) 2 S S=1+1.02+1.02 2 +1.02 3 +1.02 4 +1.02 5-1.02S= 1.02+1.02 2 +1.02 3 +1.02 4 +1.02 5 +1.02 6-0.02S=1-1.02 6 0.02S=1.02 6-1S=1.02 6-1/0.02=6.3081 A r 1 S S A(r -1) r-1 B 1 2%102+119 0.02 120/2=262.81 1.02 120-1/0.02= 488.3 2 100 2%6 +2%2 100 3 1100 1.02 6 =112.6162 A 3 45
S=A(1.02 6-1)/(1.02-1)=6.3081A 6.3081A=112.6162A=17.8526 6A=107.1156 2% 2% 1% 1000560 AS 1012020240 N AS=N A 545 N A S=N A 605 22,2444 1334,6669 12010 14,3471 1721,6514 18015 12,0017 2160,3060 24020 11,0109 2642,6067 30025 10,5322 3159,6600 36030 10,2861 3702,9960 1000 10 15 5 1%303601000 15180 530 10,2861 151851,4980 500 857 1000151851 143 Excel 6 C R G I 1 C=10.2861 R 1 =10.000 G 1 =0.2861 I 1 =999.7139 2 C=10.2861 R 2 = 9.9971 G 2 =0.2890 I 2 =999.4249 3 C=10.2861 R 3 = 9.9942 G 3 =0.2919 I 3 =999.1330 180 C=10.2861 R 180 =8.5877 G 180 =1.6984 I 180 =857.0701 360 C=10.2861 R 360 =0.1027 G 360 =10.1833 I 360 =0.0908 6 C R G C C 0 =1000 1%30 C=10.28611% 46
R =0.01-1 G =C-R G = -1 -G R G 3 R =0.01-1 G =C-R = -1 -G 23R G = -1 -C-0.01-1 =1.01-1 -C 2-100C=1.01-1 -100C -100C1.01-100C=1.01 0-100C=1.011000-100C =100{C-1.01C-10} C=10.2861 =1028.61-28.611.01 66 Excel G G C 10001%360 7 C R G 1 C 1 =12.7778 R 1 =10.0000 G=2.7778 I 1 =997.2222 2 C 2 =12.7700 R 2 =9.9922 G=2.7778 I 2 =994.4444 180 C 180 =7.8055 R 180 =5.0277 G=2.7778 I 180 =499.9960 360 C 360 =2.8055 R 360 =0.0277 G=2.7778 I 360 =-0.0080 G G= 0 /360= 2.7778C R =0.01-1 I R =0.01-1 25 5 C =G+R = -1 -G = 0 -G= 1000-2.77787 15 500 857 100020 C=20 0 0=100{20-1.0120-10} 1.01 =2 =log 1.01 2=log2/log1.01=69.65 70510 10.2861 302015 C 47
C =0.01 0 +1.01 G-0.01 G=12.8056-0.02778 12.7778278 2.8055 S S=12.7778+2.8055 360/2=2804.994 2805 3703 900 2 2Excel 6 360 0 908 10003601 10,28612626 10,2861 261%300.26 1.01 360-1/0.01=908 908 80% 2 103 75% 1 8 1/4 117 3/4 29 48
10 40 2 2002 1 19924.1 4.6 3 2 B,,,,,,,, 2011 -H22 -, 36 pp.55-59.,,,,,,,,,,, 2002, pp.60-67. 1992 pp.147-168. A ope lecture of mathematics based o iterest calculatio, the report of "Mathematics of iterest" Fumufumu H23 Yasuzo NISHIMURA, Yusuke OKUBO, Yutaka SABURI, Yasuhiro TAKEZAWA, Takehiro TSUBOKAWA, Hiroyuki FUKUDA, Tatsuyuki MATSUDA, Chieko MATSUMOTO, Toshiaki YAMASHITA Key wordsmathematical educatio, iterest, geometric progressio, expoetial fuctio 49