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- あつひろ よしなが
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1 IV_2008#009.nb 2. à % ,2 23,74, ,6 24,860, ,99 26,620, ,842 28,452, ,320 30,355,200 :
2 IV_2008#009.nb , , ,240 26, ,60 253,934
3 IV_2008#009.nb 3 à Power Pocket ,000
4 IV_2008#009.nb % 2005/ %.900 % 2005/ % % 2007/ % % 2009/ % % 20/ % % 204/ % % +%, +2%
5 IV_2008#009.nb 5 à (2004/0/0) m2 280m2 ( ) 30m2 280m2 00 5,000 8 () (2) 80
6 IV_2008#009.nb % ü (2004//5) (*) 2.83% 3% (*2) , (600) Ø 800(600) Ø ( ) 00m2 70m2 280m2 80m2 280m2 ( ) 30m2 280m2 50m2 280m , ,50 5,250 (*) (*2)
7 IV_2008#009.nb 7 à (30 years) ü terms & condition 30-year 8% fied rate mortgage with monthly level payment = ü mortgage remaining balance mortgage balance year ü monthly coupon payment monthly coupon payment year
8 IV_2008#009.nb 8 ü monthly principal payment monthly principal payment year ü monthly total payment monthly total payment year % ê 30 = n H Hn - LL * 0.05 n n à (25 years) % 25
9 IV_2008#009.nb ê 25 = n H Hn - LL * 0.05 n n % êh25 µ 2L = 2 2 n H Hn - LL * 0.05 n n ü mortgage remaining balance mortgage balance year ü monthly coupon payment monthly coupon payment year
10 IV_2008#009.nb 0 ü monthly principal payment 2 monthly principal payment year ü monthly total payment monthly total payment year monthly total payment year
11 IV_2008#009.nb à level payment mortgage ü B k R r = R ê 2 n : mortgage balance at the beginning of month k : annual mortgage rate : monthly mortgage rate : term of mortgage loan (in month) : monthly payment n B 0 = ÅÅÅÅÅÅÅÅÅÅÅÅ = ÅÅÅÅ i= H+rL i r I - H ÅÅÅÅÅÅ Å +r Ln M = rb 0 ëi-håååååå Å +r Ln M n B t = ÅÅÅÅÅÅÅÅÅÅÅÅ = ÅÅÅÅ i=t+ H+rL i r I - H ÅÅÅÅÅÅ Å +r Ln-t M = B 0 I - H ÅÅÅÅÅÅ Å +r Ln-t M ë I - H ÅÅÅÅÅÅ Å in continuous time T B 0 = Ÿ 0 e - rs s = ÅÅÅÅ r H - e - rt L = rb 0 êh-e - rt L T B t = Ÿ t e - rs s = B 0 H - e - r HT-tL L ê H - e - rt L à (30 years) ü terms & condition 30-year 8% fied rate mortgage with monthly level payment = r Ln M ü mortgage remaining balance mortgage balance year
12 IV_2008#009.nb 2 ü monthly coupon payment monthly coupon payment year ü monthly principal payment monthly principal payment year ü monthly total payment monthly total payment year
13 IV_2008#009.nb 3 monthly total payment year à (25 years) ü terms & condition % = ü mortgage remaining balance mortgage balance year
14 IV_2008#009.nb 4 ü monthly coupon payment monthly coupon payment year ü monthly principal payment 20 monthly principal payment year ü monthly total payment 20 monthly total payment year
15 IV_2008#009.nb 5 monthly total payment year à ü 00 6% 3 6% = ÅÅÅÅÅÅÅÅÅÅÅÅÅÅ ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ = H+0.06L 2 H+0.06L 3 ü mathematica program Solve@00 == ê.06 + ê.06^2 + ê.06^3, D % 30 4% = ÅÅÅÅÅÅÅÅÅÅÅÅÅÅ ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ + ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ + + ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ H+0.04L 2 H+0.04L 3 H+0.04L 30 a = a a 2 = ar a n = ar n- S n = a + ar+ ar 2 + ar ar n-
16 IV_2008#009.nb 6 µ r rs n = ar + ar 2 + ar ar n- + ar n H - rl S n = a - ar n S n = ÅÅÅÅÅÅÅÅÅÅÅÅÅ a-arn - rn = ah ÅÅÅÅÅÅÅÅÅÅÅÅ H-rL -r L a - rn a = S n êhåååååååååååå -r L = S nh ÅÅÅÅÅÅÅÅÅÅÅ - r L -r n aõ ÅÅÅÅÅÅÅÅÅÅÅÅÅÅ r õ ÅÅÅÅÅÅÅÅÅÅÅÅÅÅ S n = 5000 S n = ÅÅÅÅÅÅÅÅÅÅÅÅÅ a-arn - rn = ah ÅÅÅÅÅÅÅÅÅÅÅÅ H-rL -r L ó 5000 = ÅÅÅÅÅÅÅÅÅÅÅÅÅÅ L - H ÅÅÅÅÅÅÅÅ ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ H ÅÅÅÅÅÅÅÅ ÅÅÅÅÅÅÅÅ ÅÅÅÅÅÅÅÅÅÅÅÅ L30 - rn a = S n êhåååååååååååå -r L = S nh ÅÅÅÅÅÅÅÅÅÅÅ - r L ó ÅÅÅÅÅÅÅÅÅÅÅÅÅÅ -r n = 5000 J - H ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ L N - H ÅÅÅÅÅÅÅÅ ÅÅÅÅÅÅÅÅ L30 = 5000 J - H ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ L NH L = 5000 J ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ N = 5000 J ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ N = H ÅÅÅÅÅÅÅÅ ÅÅÅÅÅÅÅÅ L30 - H ÅÅÅÅÅÅÅÅ ÅÅÅÅÅÅÅÅ L30 - H ÅÅÅÅÅÅÅÅ ÅÅÅÅÅÅÅÅ L30 = = = ü mathematica program B0 = 5000; L = 0.04; n = 30; a = LB0 êh H + LL^H nll; m = L ê 2 B0 êh H + L ê 2L^H 2 nll; à ü L n : : : B k n B 0 = ÅÅÅÅÅÅÅÅÅÅÅÅÅ i= = LB 0 ë I - H ÅÅÅÅÅÅÅÅ n B k = i=k+ : k = ÅÅÅÅ H+LL i +L Ln M ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ = ÅÅÅÅ H+LL i-k % 25 = L I - H ÅÅÅÅÅÅÅÅ +L Ln M L I - H ÅÅÅÅÅÅÅÅ +L Ln-k M = B 0 I - H ÅÅÅÅÅÅÅÅ +L Ln-k M ë I - H ÅÅÅÅÅÅÅÅ +L Ln M
17 IV_2008#009.nb 7 B0 = 3600; L = 0.05; n = 25; a5 = LB0 êh H + LL^H nll; 5 B5 = B0 H H + LL^H H25 5LLLêH H + LL^H 25LL B5 = % 20 L = 0.03; n = 20; a3 = LB5 êh H + LL^H nll; = d = % 20 i= d ÅÅÅÅÅÅÅÅÅÅÅÅÅ H+RL i = ÅÅÅÅÅ d R I - H ÅÅÅÅÅÅÅÅ +R L20 M = R = 0.02; d = a5 a3; d ê R H H + RL^H 20LL à ü L = L ê 2 n : : : :
18 IV_2008#009.nb 8 B k : k 2 n B 0 = i= ÅÅÅÅÅÅÅÅÅÅÅÅ = ÅÅÅÅ H+ L i = B 0 ë I - H ÅÅÅÅÅÅ Å + L2 n M 2 n B k = i=k+ ÅÅÅÅÅÅÅÅÅÅÅÅ = ÅÅÅÅ H+ L i % 25 I - H ÅÅÅÅÅÅ Å + L2 n M I - H ÅÅÅÅÅÅ Å + L2 n-k M = B 0 I - H ÅÅÅÅÅÅ Å + L2 n-k M ë I - H ÅÅÅÅÅÅ Å = = = L2 n M B0 = 3600; L = 0.05; n = 25; m5 = L ê 2 B0 êh H + L ê 2L^H 2 nll; 5 =60 B60 = B60 = B0 H H + L ê 2L^H H300 60LLL ê H H + L ê 2L^H 300LL % 20 L = 0.03; n = 20; m3 = L ê 2 B60 êh H + L ê 2L^H 2 nll; = = = d = % 240 d = d H+Rê2L i ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ i= ÅÅÅÅÅÅÅÅÅÅÅ Rê2 I - I ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ +Rê2 M240 M =
19 IV_2008#009.nb 9 R = 0.02; d = m5 m3; d êhr ê 2L H H + R ê 2L^H 240LL à N r n A n N A n = i=n+ ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ = ÅÅÅÅ H + r L i-n r I - H ÅÅÅÅÅÅÅÅÅÅ + r LN-n M 00 R r = R ê 2 0 R r = R ê 2 R 2 r 2 = R 2 ê 2 N A 0 = ÅÅÅÅÅÅÅÅÅÅÅÅÅÅ = ÅÅÅÅÅ i= H+r L i r I - I ÅÅÅÅÅÅÅÅÅÅÅ +r M N M = r A 0 ëi - I ÅÅÅÅÅÅÅÅÅÅÅ +r M N M A 20 N A 20 = ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ = ÅÅÅÅÅ i=2 H+r L i-20 r I - I ÅÅÅÅÅÅÅÅÅÅÅ +r M N-20 M 2 20 N 2 A 20 = ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ i=2 = 2 H+r 2 L i-20 r 2 2 = r 2 A 20 ëi - I ÅÅÅÅÅÅÅÅÅÅÅ +r 2 M N-20 M ÅÅÅÅÅ I - I ÅÅÅÅÅÅÅÅÅÅÅ +r 2 M N-20 M % 4.000% 9, % 4.000% 3,925 4, r R = r ê 2 0 R r = R ê 2 R 2 r 2 = R 2 ê 2
20 IV_2008#009.nb % 4.000% 56, % 4.000% 23,632 27,90 à à program: equal installment repayment method (30 year) B0= à program: equal installment repayment method (25 year) B0=3600 à program: level payment (30 year) B0= à program: level payment (25 year) B0=3600
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IV2008#004.nb 1 13. MBS (Mortgage-Backed Securities) à http://www.sjam.co.jp/college/mbs.htm ü IV2008#004.nb 2 MBS MBS GNMA,FHLMC,FNMA MBS CMO( ) 6193 2 IV2008#004.nb 3 ü Bloomberg IV2008#004.nb 4 IV2008#004.nb
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š ( š ) (6) 11,310, (3) 34,146, (2) 3,284, (1) 1,583, (1) 6,924, (1) 1,549, (3) 15,2
š ( š ) ( ) J lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll ¾ 13 14. 3.29 23,586,164,307 6,369,173,468 17,216,990,839 17,557,554,780 (352,062) 1,095,615,450 11,297,761,775 8,547,169,269
Ÿ Ÿ ( ) Ÿ , , , , , , ,000 39,120 31,050 30,000 1,050 52,649, ,932,131 16,182,115 94,75
Ÿ ( ) Ÿ 100,000 200,000 60,000 60,000 600,000 100,000 120,000 60,000 120,000 60,000 120,000 120,000 120,000 120,000 120,000 1,200,000 240,000 60,000 60,000 240,000 60,000 120,000 60,000 300,000 120,000
Ÿ ( ) ,166,466 18,586,390 85,580,076 88,457,360 (31) 1,750,000 83,830,000 5,000,000 78,830, ,388,808 24,568, ,480 6,507,1
( ) 60,000 120,000 1,800,000 120,000 100,000 60,000 60,000 120,000 10,000,000 120,000 120,000 120,000 120,000 1,500,000 171,209,703 5,000,000 1,000,000 200,000 10,000,000 5,000,000 4,000,000 5,000,000
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š ( š ) 60,000 240,000 120,000 60,000 120,000 360,000 72,000 1,128,000 56,380,000 14. 2.20 35,492,337 17,401,486 18,090,851 32,141,906 11,070,000 3,570,000 7,500,000 7,020,000 7,020,000 851 851 9,778,644
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Ÿ ( Ÿ ) Ÿ šœš 100,000 10,000,000 10,000,000 3,250,000 1,000,000 24,350,000 5,000,000 2,500,000 1,200,000 1,000,000 2,960,000 7,000,000 1,500,000 2,200
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( ) 500,000 500,000 320,000 300,000 1,000,000 1,140,000 1,500,000 560,000 640,000 400,000 240,000 600,000 400,000 780,000 300,000 300,000 1,500,000 260,000 420,000 400,000 400,000 300,000 840,000 1,500,000
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Ÿ Ÿ ( œ ) 120,000 60,000 120,000 120,000 80,000 72,000 100,000 180,000 60,000 100,000 60,000 120,000 100,000 240,000 120,000 240,000 1,150,000 100,000 120,000 72,000 300,000 72,000 100,000 100,000 60,000
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š ( ) 300,000 180,000 100,000 120,000 60,000 120,000 240,000 120,000 170,000 240,000 100,000 99,000 120,000 72,000 100,000 450,000 72,000 60,000 100,000 100,000 60,000 60,000 100,000 200,000 60,000 124,000
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Ÿ š ( š ) 1,970,400 5,000,000 12. 3.26 180,553,493 9. 9.29 41,772,995 10. 9.28 50,075,163 13. 2. 2 1,000,000 10.12.27 j 19,373,160 13. 4. 1 j 1,200,000 38. 3.19 j 1,100,000 6. 9.22 14. 1. 8 0 0 14. 3.13
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68 A mm 1/10 A. (a) (b) A.: (a) A.3 A.4 1 1
67 A Section A.1 0 1 0 1 Balmer 7 9 1 0.1 0.01 1 9 3 10:09 6 A.1: A.1 1 10 9 68 A 10 9 10 9 1 10 9 10 1 mm 1/10 A. (a) (b) A.: (a) A.3 A.4 1 1 A.1. 69 5 1 10 15 3 40 0 0 ¾ ¾ É f Á ½ j 30 A.3: A.4: 1/10
Holton semigeostrophic semigeostrophic,.., Φ(x, y, z, t) = (p p 0 )/ρ 0, Θ = θ θ 0,,., p 0 (z), θ 0 (z).,,,, Du Dt fv + Φ x Dv Φ + fu +
Holton 9.2.2 semigeostrophic 1 9.2.2 semigeostrophic,.., Φ(x, y, z, t) = (p p 0 )/ρ 0, Θ = θ θ 0,,., p 0 (z), θ 0 (z).,,,, Du Dt fv + Φ x Dv Φ + fu + Dt DΘ Dt + w dθ 0 dz = 0, (9.2) = 0, (9.3) = 0, (9.4)
B
B YES NO 5 7 6 1 4 3 2 BB BB BB AA AA BB 510J B B A 510J B A A A A A A 510J B A 510J B A A A A A 510J M = σ Z Z = M σ AAA π T T = a ZP ZP = a AAA π B M + M 2 +T 2 M T Me = = 1 + 1 + 2 2 M σ Te = M 2 +T
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Microsoft Word - 表紙hara.doc
Fertility Decline of SapporoDemographic Characteristics, Socio-Economic Backgrounds and Possibilities of Policy Interventions Toshihiko HARA, School of Design Keywords: fertility, family policy, time series
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ï ñ ö ò ô ó õ ú ù n n ú ù ö ò ô ñ ó õ ï B A C Z E ^ N U M G F Q T H L Y D V R I J [ R _ T Z S Y ^ X ] [ V \ W U D E F G H I J K O _ K W ] \ L M N X P S O P Q @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ r r @ @
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IMES DISCUSSION PAPER SERIES Discussion Paper No. 99-J- 9 -J-19 INSTITUTE FOR MONETARY AND ECONOMIC STUDIES BANK OF JAPAN
IMES DISCUSSION PAPER SERIES Discussion Paper No. 99-J- 9 -J-19 INSTITUTE FOR MONETARY AND ECONOMIC STUDIES BANK OF JAPAN 100-8630 03 IMES Discussion Paper Series 99-J- 9 -J-19 1999 6 * * [1999] *(E-mail:
