家計消費とプランク分布
(香港 2020)

不動産宇宙と固定為替相場(解説1)
住宅家賃とマクスウェル分布(解説2)
家計消費とプランク分布
国 2020 | 都市 2020

 消費品目分布の理論値(青線)は、プランク分布を変数(大人1人あたりの年間消費金額) E で割ったもの(プランク度数分布) E 2 e E k T - 1 に比例する。ただし、 E の単位は ukT である。(消費品目分布のピークを1単位目と2単位目のあいだに置くため、 u は0.8から1.59の範囲にある。また、消費品目分布のフィッティングは1単位目から3単位目までに着目する。)為替指数(物価指数にある定数 aをかけたもの)は、1単位目から3単位目までの消費品目数の総和とフィッティングで得た kT の積を観測データ(これは u の自由度だけ存在する)とする反復最小二乗法(為替指数との比が最小になる観測データを選んでから最小二乗法により新たな aを求める手続きの反復)から求まる。 kT を普遍的な値とすると、現地通貨建ての kT が小さいほどその現地通貨が高くなる。ただし、現地通貨建ての kT は消費品目数の影響を受けるので、その影響を排除したもの(為替指数)を考える必要がある。したがって、為替指数の比が固定為替相場である。なお、物価指数と為替指数の比 aの値は生活レベル(1人あたりの米ドル建て消費支出)を測定する年ごとに決まる。(未来への投資は今の生活レベルを下げるので、物価指数と為替指数の比 aが更新されるとき、投資の過不足分が過去の生活レベルに加算される。)また、消費品目分布の観測値(赤線)と物価指数は以下のページにもとづく。
https://www.censtatd.gov.hk/
https://www.imf.org/
香港の生活レベル
2020年

※左=物価指数と為替指数の比aの初期値
※中央=反復最小二乗法から求まるaの不動点
※右=生活レベル(米ドル建て1人あたり(NPISHs控除前)家計最終消費支出)の候補
※太字は住宅家賃分布(マクスウェル分布)にもとづく確定値

1000,2800,60064
2000,2800,60064
3000,2900,57992
4000,2900,57992
5000,5500,30578
6000,5500,30578
7000,5500,30578
8000,5500,30578
9000,9100,18481
10000,16900,9951
11000,16900,9951
12000,16900,9951
13000,16900,9951
14000,16900,9951
15000,16900,9951
16000,16900,9951
17000,16900,9951
18000,16900,9951
19000,16900,9951
20000,16900,9951
21000,16900,9951
22000,16900,9951
23000,16900,9951
24000,16900,9951
25000,16900,9951
26000,16900,9951
27000,16900,9951
28000,16900,9951
29000,16900,9951
30000,16900,9951
31000,16900,9951
32000,16900,9951
33000,16900,9951
34000,16900,9951
35000,16900,9951
36000,16900,9951
37000,16900,9951
38000,16900,9951
39000,16900,9951
40000,16900,9951
41000,16900,9951
42000,16900,9951
43000,16900,9951
44000,16900,9951
45000,16900,9951
46000,16900,9951
47000,16900,9951
48000,16900,9951
49000,16900,9951
50000,16900,9951

香港の消費品目分布
2015年
u=1.4, kT=20600

香港の消費品目
2015年

※左=大人1人あたりの年間消費金額(0.01香港ドル)
※右=消費品目

000000966,Tram fares
000001449,Chinese wines
000001932,Clothing materials and tailoring charges
000002415,Sugar
000002898,Children's underclothing
000003864,Processed fruit
000005313,Ferry fares
000005796,Processed vegetables
000006279,Carbonated drinks
000006279,Materials for house maintenance
000006762,Meat canned
000006762,Men's underclothing
000007728,Beer
000007728,Infants' clothing
000010144,Repairs to personal and household goods
000012559,Newspapers
000014491,Children's and infants' footwear
000014491,Women's underclothing
000014974,Durable goods others
000014974,Flavourings and additives
000014974,Tableware and kitchen utensils
000015457,Clothing others
000015457,Stationery
000015940,Cinema entertainment
000016423,Eggs
000016423,Liquefied petroleum gas and other fuel
000016906,Other educational charges
000017389,Confectionery
000017389,Soft furnishings
000018355,Edible oils
000019322,Books and periodicals (excluding textbooks)
000019322,Foreign-style wines
000019805,Photographic and photo-printing services
000021254,Household cleansing tools and supplies
000024635,Other entertainment and holiday expenses
000028983,Beef
000028983,Rice
000029466,Children's outerclothing
000029949,Other cereals and cereal preparations
000030432,Household goods others
000034779,Local transport others
000035262,Expenses on parties
000035262,Water and sewage charges
000035745,Hair-dressing
000035745,Other non-alcoholic beverages
000037677,Men's footwear
000042025,Toys and hobbies
000042991,Furniture
000043474,Meat others
000044440,Beauty treatment and fitness services
000044923,Cigarettes
000045406,Other fresh sea products
000045406,Poultry
000046855,Fresh-water fish
000048305,Video and sound equipment
000049754,Dairy products
000052169,Purchases of textbooks
000053135,Public light bus fares
000054101,Women's footwear
000056033,Jewellery
000056516,Meat frozen
000060381,Watches clocks cameras and optical goods
000063762,Taxi fares
000068593,Processed sea products
000071008,Professional services subscriptions and other services
000071491,Inbound and outbound transport fares
000078254,Home appliances electric and gas
000080186,Information technology and telecommunications equipment
000083084,Motor fuel
000085983,Men's outerclothing
000086466,Towngas
000090330,Travel and sports goods
000093711,Food others
000094677,Fresh fruit
000096610,Bread cakes biscuits and puddings
000104822,Proprietary medicines and supplies
000111101,Salt-water fish
000129457,Cosmetics and personal care products
000135737,Purchases of and repairs to motor vehicles
000142983,Pork
000143949,Bus fares
000146364,Fresh vegetables
000190322,Women's outerclothing
000194669,MTR fares
000218339,Motor licences insurance instructor's fees parking fees and tunnel tolls
000218822,Electricity
000290796,Package tours
000310118,Information and communications services
000322678,Household services
000345864,Medical services
000390788,Management fees and other housing charges
000544881,School fees
002390136,Meals bought away from home
004382238,Rent including rates and government rent

香港の消費品目分布
2010年
u=1.51, kT=17500

香港の消費品目
2010年

※左=大人1人あたりの年間消費金額(0.01香港ドル)
※右=消費品目

000001475,Chinese wines
000001475,Clothing materials and tailoring charges
000001475,Tram fares
000002459,Sugar
000002951,Children's underclothing
000002951,Processed fruit
000005411,Processed vegetables
000005903,Infants' clothing
000005903,Materials for house maintenance
000006395,Men's underclothing
000006887,Ferry fares
000006887,Meat canned
000007871,Beer
000008363,Carbonated drinks
000008855,Durable goods others
000008855,Repairs to personal and household goods
000010331,Expenses on parties
000011315,Women's underclothing
000011807,Stationery
000012299,Children's and infants' footwear
000012299,Cinema entertainment
000012299,Tableware and kitchen utensils
000012791,Photographic and photo-printing services
000013283,Clothing others
000013775,Eggs
000014267,Flavourings and additives
000014759,Foreign-style wines
000015251,Other educational charges
000015743,Confectionery
000016727,Edible oils
000018695,Liquefied petroleum gas and other fuel
000019187,Household cleansing tools and supplies
000020663,Soft furnishings
000024106,Beef
000025582,Books and periodicals (excluding textbooks)
000027550,Children's outerclothing
000027550,Other cereals and cereal preparations
000027550,Other entertainment and holiday expenses
000028534,Local transport others
000030994,Newspapers
000030994,Other fresh sea products
000031486,Household goods others
000032962,Hair-dressing
000032962,Other non-alcoholic beverages
000033454,Men's footwear
000033946,Rice
000034930,Furniture
000035422,Water and sewage charges
000036898,Beauty treatment and fitness services
000037390,Toys and hobbies
000041326,Cigarettes
000042310,Fresh-water fish
000042310,Poultry
000042802,Professional services subscriptions and other services
000043294,Meat others
000045261,Meat frozen
000047229,Purchases of textbooks
000049689,Dairy products
000050673,Women's footwear
000051165,Jewellery
000051165,Processed sea products
000055101,Public light bus fares
000057069,Taxi fares
000061497,Video and sound equipment
000062973,Proprietary medicines and supplies
000064941,Watches clocks cameras and optical goods
000067892,Inbound and outbound transport fares
000073796,Home appliances electric and gas
000074780,Fresh fruit
000074780,Men's outerclothing
000077240,Motor fuel
000077732,Food others
000079208,Salt-water fish
000082652,Bread cakes biscuits and puddings
000085604,Towngas
000089048,Computer and telecommunications equipment
000090523,Travel and sports goods
000114630,Cosmetics and personal care products
000119058,Pork
000120534,Fresh vegetables
000131358,Purchases of and repairs to motor vehicles
000142181,Motor licences insurance instructor's fees parking fees and tunnel tolls
000156449,Bus fares
000157432,MTR fares
000170224,Electricity
000182523,Women's outerclothing
000208598,Package tours
000253368,Telephone and other communications services
000255336,Household services
000290267,Medical services
000326181,Management fees and other housing charges
000490010,School fees
001817859,Meals bought away from home
003157515,Rent including rates and government rent

香港の消費品目分布
2005年
u=1.43, kT=16150

香港の消費品目
2005年

※左=大人1人あたりの年間消費金額(0.01香港ドル)
※右=消費品目

000001471,Chinese wines
000001471,Tram fares
000001962,Children's underclothing
000001962,Sugar
000002452,Clothing materials and tailoring charges
000002452,Materials for house maintenance
000002452,Processed fruit
000002943,Meat canned
000003434,Men's underclothing
000004415,Processed vegetables
000004905,Infants' clothing
000006868,Ferry fares
000007358,Light Rail fares
000007358,Repairs to personal and household goods
000007849,Eggs
000008830,Children's and infants' footwear
000008830,Tableware and kitchen utensils
000009811,Carbonated drinks
000010302,Beer
000010302,Cinema entertainment
000010792,Foreign-style wines
000011283,Flavourings and additives
000011283,Other educational charges
000011283,Women's underclothing
000011774,Edible oils
000012755,Clothing others
000013736,Stationery
000014226,Durable goods others
000015698,Beef
000015698,Household cleansing tools and supplies
000015698,Soft furnishings
000016679,Liquefied petroleum gas and other fuel
000017170,Confectionery
000022076,Other cereals and cereal preparations
000024038,Rice
000024529,Expenses on parties
000025510,Children's outerclothing
000026001,Men's footwear
000026982,Other fresh sea products
000031888,Local transport others
000031888,Other non-alcoholic beverages
000033850,Jewellery
000033850,Meat frozen
000034340,Water and sewage charges
000034831,Fresh-water fish
000036793,Meat others
000036793,Poultry
000037284,Hair-dressing
000038265,Other entertainment and holiday expenses
000038756,Train fares
000039246,Furniture
000042680,Household goods others
000043171,Dairy products
000043171,Processed sea products
000044643,Newspapers
000045624,Beauty treatment and fitness services
000046115,Professional services photo-printing subscriptions and other services
000049058,Women's footwear
000052002,Cigarettes
000052002,Proprietary medicines and supplies
000052002,Public light bus fares
000053473,Travel and sports goods
000054454,Toys and hobbies
000055436,Watches clocks cameras and optical goods
000058379,Taxi fares
000063776,Inbound and outbound transport fares
000063776,Salt-water fish
000065247,Fresh fruit
000068681,Video and sound equipment
000073587,Bread cakes biscuits and puddings
000075059,Home appliances electric and gas
000076040,Books and periodicals
000076531,Motor fuel
000077021,Food others
000085852,Towngas
000086342,Fresh vegetables
000088305,Men's outerclothing
000090267,Pork
000098117,Mass Transit Railway fares
000110381,Cosmetics and personal care products
000111362,Computer and telecommunications equipment
000115778,Purchases of and repairs to motor vehicles
000123627,Package tours
000156006,Motor licences insurance instructor's fees parking fees and tunnel tolls
000163855,Women's outerclothing
000172685,Bus fares
000180044,Electricity
000211932,Medical services
000228122,Household services
000286992,Telephone and other communications services
000317899,Management fees and other housing charges
000417978,School fees
001510021,Meals bought away from home
002513267,Rent including rates and government rent

香港の消費品目分布
2000年
u=1.59, kT=18250

香港の消費品目
2000年

※左=大人1人あたりの年間消費金額(0.01香港ドル)
※右=消費品目

000001426,Tram fares
000002376,Chinese wines
000002376,Clothing materials and tailoring charges
000002376,Postal services
000002376,Sugar
000002852,Children's underclothing
000002852,Processed fruit
000003327,Meat canned
000003802,Materials for house maintenance
000004753,Ferry fares
000005229,Processed vegetables
000006179,Men's underclothing
000007130,Infants' clothing
000008081,Light Rail Transit fares
000008556,Repairs to personal and household goods
000009031,Eggs
000012359,Beer
000012359,Tableware and kitchen utensils
000013310,Flavourings and additives
000013785,Children's footwear
000014261,Cinema entertainment
000014261,Other educational charges
000015211,Edible oils
000015687,Clothing others
000015687,Stationery
000016162,Confectionery
000016637,Soft furnishings
000017113,Beef locally slaughtered
000017113,Housing cleansing tools and supplies
000017113,Women's underclothing
000018539,Liquefied petroleum gas
000019965,Expenses on parties
000020440,Other cereals and cereal preparations
000024243,Foreign-style wines
000028522,Rice
000031374,Train fares
000031849,Water and sewage charges
000035652,Men's footwear
000037078,Travel and sports goods
000037554,Toys and hobbies
000038029,Hair-dressing
000038504,Other fresh sea products
000040881,Children's outerclothing
000040881,Meat frozen
000042307,Processed sea products
000042783,Live poultry
000043258,Dairy products
000045159,Meat others
000047536,Video and sound equipment
000047536,Women's footwear
000048012,Beverages
000048962,Fresh-water fish
000049913,Proprietary medicines and supplies
000051815,Newspapers
000052290,Other entertainment and holiday expenses
000052290,Transport others
000055617,Public light bus fares
000057044,Inbound and outbound transport
000057994,Furniture
000059420,Jewellery
000063223,Watches cameras and optical goods
000065600,Household goods others
000068452,Cigarettes
000068452,Electrical appliances
000071780,Bread cakes biscuits and puddings
000073681,Salt-water fish
000075583,Taxi fares
000077484,Towngas
000078435,Motor fuel
000080812,Fresh fruit
000088418,Men's outerclothing
000090319,Fresh vegetables
000092696,Cosmetics and personal care products
000094598,Books and periodicals
000097925,Pork locally slaughtered
000102679,Mass Transit Railway fares
000105531,Professional services photo-printing subscriptions and other services
000119792,Food others
000131676,Package tours
000145462,Purchases of and repairs to motor vehicles
000164952,Motor licences insurance instructor's fees parking fees and tunnel tolls
000172558,Electricity
000177311,Bus fares
000178262,Women's outerclothing
000183016,Computers telecommunications equipment and other durable goods
000228176,Medical services
000247666,Household services
000325626,Telephone and other communications services
000376966,Management fees and other housing charges
000384572,School fees
001649999,Meals bought away from home
002951079,Rent including rates and government rent



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