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Mizhchasovij vibir angl Intertemporal choice ce proces za dopomogoyu yakogo lyudi prijmayut rishennya pro te sho i skilki robiti v rizni momenti chasu koli vibir v odin moment vplivaye na mozhlivosti dostupni v inshi momenti chasu Na cej vibir vplivaye vidnosna cinnist yaku lyudi pripisuyut dvom abo bilshe vigrasham u rizni momenti chasu Bilshist variantiv vimagayut vid tih hto prijmaye rishennya kompromisu mizh vitratami ta vigodami v rizni momenti chasu Ci rishennya mozhut stosuvatisya zaoshadzhen trudovih zusil osviti harchuvannya fizichnih vprav ohoroni zdorov ya tosho Visoka chasova preferenciya menshih vinagorod pov yazana z bagatma negativnimi naslidkami pochinayuchi vid nizhchoyi zarplati 1 i zakinchuyuchi narkomaniyeyu 2 Z pochatku dvadcyatogo storichchya ekonomisti analizuvali mizhchasovi rishennya vikoristovuyuchi model diskontovanoyi korisnosti yaka pripuskaye sho lyudi ocinyuyut zadovolennya ta strazhdannya yaki ye rezultatom rishennya priblizno tak samo yak finansovi rinki ocinyuyut zbitki ta pributki eksponencialno znizhuyuchi vartist rezultativ vidpovidno do togo naskilki voni vidstrocheni v chasi Znizhenu korisnist vikoristovuvali dlya opisu togo yak lyudi naspravdi roblyat mizhchasovij vibir j yiyi vikoristovuvali yak instrument derzhavnoyi politiki Politichni rishennya shodo togo skilki vitrachati na doslidzhennya ta rozrobki ohoronu zdorov ya ta osvitu zalezhat vid stavki diskontuvannya yaka vikoristovuyetsya dlya analizu rishennya 3 Zmist 1 Portfelnij rozpodil 2 Spozhivannya 2 1 Model mizhchasovogo spozhivannya Fishera 2 2 Gipoteza dohodu zhittyevogo ciklu Modilyani 2 3 Gipoteza postijnogo dohodu Fridmana 3 Propoziciya robochoyi sili 4 Osnovni investiciyi 5 Giperbolichne diskontuvannya 6 Divitsya takozh 7 Spisok literaturiPortfelnij rozpodil RedaguvatiMizhchasovij vibir portfelya ce rozpodil koshtiv mizh riznimi aktivami yakij neodnorazovo protyagom chasu prichomu suma investovanih koshtiv u bud yakij majbutnij chas zalezhit vid pributku portfelya v bud yakij poperednij moment chasu Takim chinom majbutni rishennya mozhut zalezhati vid rezultativ potochnih rishen Zagalom cya zalezhnist vid poperednih rishen oznachaye sho potochni rishennya povinni vrahovuvati yih imovirnisnij vpliv na majbutni obmezhennya portfelya Odnak iz cogo ye deyaki vinyatki z logarifmichnoyu funkciyeyu korisnosti abo z funkciyeyu korisnosti HARA ta poslidovnoyu nezalezhnistyu rezultativ optimalno diyati z racionalnoyu korotkozoristyu ignoruyuchi vpliv potochnih rishen na majbutni rishennya Spozhivannya RedaguvatiKejnsianska funkciya spozhivannya bazuvalasya na dvoh osnovnih gipotezah Po pershe granichna shilnist do spozhivannya lezhit mizh 0 i 1 Po druge serednya shilnist do spozhivannya padaye zi zrostannyam dohodu Ranni empirichni doslidzhennya uzgodzhuvalisya z cimi gipotezami Odnak pislya Drugoyi svitovoyi vijni bulo pomicheno sho zaoshadzhennya ne zrosli razom iz zrostannyam dohodu Kejnsianska model ne zmogla poyasniti fenomen spozhivannya tomu bula rozroblena teoriya mizhchasovogo viboru Analiz mizhchasovogo viboru buv predstavlenij Dzhonom Rejyem u 1834 roci v Sociologichnij teoriyi kapitalu Piznishe Ojgen fon Bem Baverk u 1889 roci ta Irving Fisher u 1930 roci rozrobili model Kilka inshih modelej zasnovanih na mizhchasovomu vibori vklyuchayut gipotezu zhittyevogo ciklu zaproponovanu Franko Modilyani i gipotezu postijnogo dohodu zaproponovanu Miltonom Fridmanom Koncepciya valrasivskoyi rivnovagi takozh mozhe buti rozshirena shob vklyuchiti mizhchasovij vibir Valrasivskij analiz takoyi rivnovagi vvodit dvi novi koncepciyi cin f yuchersni cini ta spotovi cini Model mizhchasovogo spozhivannya Fishera Redaguvati nbsp Mizhchasove byudzhetne obmezhennya zi spozhivannyam periodu 1 i 2 na osi abscis i osi u vidpovidno nbsp Na malyunku zobrazheno mizhchasovij vibir spozhivacha vrahovuyuchi perevagi korisnosti ta byudzhetni obmezhennya Irving Fisher rozvinuv teoriyu intertemporalnogo viboru u svoyij knizi Teoriya interesu 1930 Na vidminu vid Kejnsa yakij pov yazuvav spozhivannya z potochnim dohodom model Fishera pokazala naskilki racionalno perspektivni spozhivachi obirayut spozhivannya na teperishnye ta majbutnye shob maksimizuvati svoye zadovolennya protyagom zhittya Zgidno Fishera neterplyachist individa zalezhit vid chotiroh harakteristik jogo potoku dohodu rozmiru chasovoyi formi skladu ta riziku Krim cogo peredbachennya samokontrol zvichka ochikuvannya zhittya ta motiv zapovidannya abo turbota pro zhittya inshih ye p yatma osobistimi faktorami yaki viznachayut neterplyachist lyudini yaka u svoyu chergu viznachaye yiyi chasovu preferenciyu 4 Shob zrozumiti vibir spozhivacha v rizni periodi chasu mi beremo spozhivannya v odin period yak skladnij tovar Pripustimo sho ye odin spozhivach N displaystyle N nbsp tovariv i dva periodi Preferenciyi nadaye U x 1 x 2 displaystyle U x 1 x 2 nbsp de x t x t 1 x t N displaystyle x t x t1 dots x tN nbsp Dohid za period t displaystyle t nbsp ye Y t displaystyle Y t nbsp Ekonomiya v periodi 1 ye S 1 displaystyle S 1 nbsp vitrati v period t displaystyle t nbsp ye C t displaystyle C t nbsp i r displaystyle r nbsp ye procentna stavka Yaksho osoba ne mozhe pozichiti pid zastavu majbutnih dohodiv u pershomu periodi to vona pidlyagaye okremim byudzhetnim obmezhennyam u kozhnomu periodi C 1 S 1 Y 1 displaystyle C 1 S 1 leq Y 1 nbsp 1 C 2 Y 2 S 1 1 r displaystyle C 2 leq Y 2 S 1 1 r nbsp 2 Z inshogo boku yaksho take zapozichennya mozhlive todi na osobu poshiryuyetsya yedine mizhchasove byudzhetne obmezhennya C 1 C 2 1 r Y 1 Y 2 1 r displaystyle C 1 frac C 2 1 r Y 1 frac Y 2 1 r nbsp 3 Liva storona pokazuye teperishnyu vartist vitrat a prava teperishnyu vartist dohodu Mnozhennya rivnyannya na 1 r displaystyle 1 r nbsp dast nam vidpovidni majbutni znachennya Teper spozhivach povinen vibrati a C 1 displaystyle C 1 nbsp i C 2 displaystyle C 2 nbsp takim chinom shob MaksimizuvatiU C 1 C 2 displaystyle U C 1 C 2 nbsp dd na temuC 1 C 2 1 r Y 1 Y 2 1 r displaystyle C 1 C 2 1 r Y 1 Y 2 1 r nbsp dd nbsp Yaksho spozhivach ye chistim zaoshadzhuvachem pidvishennya procentnoyi stavki matime neodnoznachnij vpliv na potochne spozhivannya nbsp Yaksho spozhivach ye chistim pozichalnikom pidvishennya procentnoyi stavki zmenshit jogo potochne spozhivannya Spozhivach mozhe buti chistim zaoshadzhuvachem abo chistim pozichalnikom Yaksho vin spochatku perebuvaye na takomu rivni spozhivannya koli vin ne ye ni chistim pozichalnikom ni chistim zaoshadzhuvachem zbilshennya dohodu mozhe zrobiti jogo chistim zaoshadzhuvachem abo chistim pozichalnikom zalezhno vid jogo upodoban Zbilshennya potochnogo abo majbutnogo dohodu zbilshit potochne ta majbutnye spozhivannya motivi zgladzhuvannya spozhivannya Teper rozglyanemo scenarij za yakogo procentni stavki zbilshuyutsya Yaksho spozhivach ye chistim zaoshadzhuvachem vin zaoshadzhuvatime bilshe v potochnomu periodi zavdyaki efektu zamishennya i spozhivatime bilshe v potochnomu periodi zavdyaki efektu dohodu Takim chinom chistij efekt staye neodnoznachnim Prote yaksho spozhivach ye chistim pozichalnikom vin bude pragnuti spozhivati menshe v potochnomu periodi cherez efekt zamishennya ta efekt dohodu takim chinom zmenshuyuchi svoye zagalne potochne spozhivannya 5 Gipoteza dohodu zhittyevogo ciklu Modilyani Redaguvati Gipoteza zhittyevogo ciklu bazuyetsya na takij modeli max U t t U C t 1 d t displaystyle max U t sum t U C t 1 delta t nbsp na temu t C t 1 r t t Y t 1 r t W 0 displaystyle sum t C t 1 r t sum t Y t 1 r t W 0 nbsp de U C t zadovolennya otrimane vid spozhivannya za period chasu t C t riven spozhivannya v moment chasu t Y t dohid u moment chasu t d koeficiyent chasovoyi preferenciyi mira individualnoyi perevagi mizh potochnoyu ta majbutnoyu diyalnistyu W 0 pochatkovij riven aktiviv sho prinosyat dohid nbsp Gipoteza zhittyevogo cikluYak pravilo MPC lyudini granichna shilnist do spozhivannya ye vidnosno visokoyu v molodomu vici znizhuyetsya v serednomu vici ta zbilshuyetsya koli lyudina blizka do pensiyi abo perebuvaye na pensiyi Model gipotezi zhittyevogo ciklu LCH viznachaye individualnu povedinku yak sprobu zgladiti modeli spozhivannya protyagom zhittya pevnoyu miroyu nezalezhno vid potochnogo rivnya dohodu Cya model stverdzhuye sho na pochatku zhittya vitrati na spozhivannya mozhut znachno perevishuvati dohid oskilki lyudina mozhe robiti veliki pokupki pov yazani z pokupkoyu novogo budinku stvorennyam sim yi ta pochatkom kar yeri Na comu etapi zhittya lyudina bude pozichati v majbutnomu shob pidtrimati ci potrebi u vitratah Odnak u seredini zhittya ci modeli vitrat pochinayut virivnyuvatisya i pidtrimuyutsya abo mozhlivo perevishuyutsya zbilshennyam dohodu Na comu etapi osoba povertaye bud yaki minuli poziki ta pochinaye zaoshadzhuvati na svoyu pensiyu Pislya vihodu na pensiyu spozhivchi vitrati mozhut pochati zmenshuvatisya odnak dohid zazvichaj rizko zmenshuyetsya Na cij stadiyi zhittya lyudina vidkladaye abo zhive za rahunok minulih zaoshadzhen do smerti 6 7 Gipoteza postijnogo dohodu Fridmana Redaguvati Pislya Drugoyi svitovoyi vijni bulo pomicheno sho model u yakij potochne spozhivannya bulo prosto funkciyeyu potochnogo dohodu yavno bula nadto sproshenoyu Ce ne moglo poyasniti toj fakt sho dovgostrokova serednya shilnist do spozhivannya zdavalasya priblizno postijnoyu nezvazhayuchi na te sho granichna shilnist do spozhivannya bula nabagato nizhchoyu Takim chinom gipoteza postijnogo dohodu Miltona Fridmana ye odniyeyu z modelej yaka namagayetsya poyasniti ce ochevidne protirichchya Vidpovidno do gipotezi postijnogo dohodu postijne spozhivannya CP proporcijne postijnomu dohodu Y P Postijnij dohid ce sub yektivne ponyattya jmovirnogo serednogo majbutnogo dohodu Postijne spozhivannya ye podibnim ponyattyam spozhivannya Faktichne spozhivannya C i faktichnij dohid Y skladayutsya z cih postijnih komponentiv plyus neperedbacheni timchasovi komponenti C T i Y T vidpovidno 8 C P t b 2 Y P tC t C P t C T tY t Y P t Y T tPropoziciya robochoyi sili RedaguvatiVibir individa shodo togo skilki praci zaproponuvati v danij moment peredbachaye kompromis mizh potochnoyu praceyu ta vidpochinkom Obsyag robochoyi sili sho nadayetsya zaraz vplivaye ne lishe na potochni mozhlivosti spozhivannya a j na majbutni i zokrema vplivaye na majbutnij vibir togo koli vijti na pensiyu ta pripiniti proponuvati robochu silu Takim chinom potochnij vibir propoziciyi praci ye mizhchasovim viborom Koli pracivniki stikayutsya z pidvishennyam zarobitnoyi plati vidbuvayutsya tri rechi efekt zamishennya efekt zvichajnogo dohodu ta efekt daruvannya Majte na uvazi sho zarobitna plata ce cina dozvillya oskilki zarobitna plata ce upushena alternativna vartist spozhivannya dozvillya Efekt zamishennya angl Substitution Effect koli zarplata zrostaye dozvillya staye dorogim Otzhe robitnik vitrachav bi menshe dozvillya i zabezpechuvav bi bilshe praci Pri comu yaksho realnij dohid ne zminitsya kilkist vidpracovanih godin zbilshitsya Efekt dohodu angl Income Effect u miru zrostannya zarplati dozvillya staye dorogim Tomu kupivelna spromozhnist kozhnogo dolara zmenshilasya b Oskilki dozvillya ye zvichajnim tovarom robitnik kupuvav bi menshe dozvillya Ce stvorit negativnu zalezhnist mizh kilkistyu vidpracovanih godin i stavkoyu zarobitnoyi plati Efekt volodinnya angl Endowment Effect u miru zrostannya zarobitnoyi plati zrostaye vartist nadhodzhennya zarobitna plata pomnozhena na dozvillya spozhivannya Tomu dohid zbilshitsya yaksho pracya bude fiksovanoyu Oskilki dozvillya ye zvichajnim tovarom robitnik kupuvav bi bilshe dozvillya Osnovni investiciyi RedaguvatiInvesticiyi v osnovnij kapital ce pridbannya firmami novih mashin fabrik tosho Prichinoyu takih zakupivel ye zbilshennya obsyagu produkciyi yaka potencijno mozhe buti viroblena v riznij chas u majbutnomu tomu ce mizhchasovij vibir Giperbolichne diskontuvannya RedaguvatiDo cogo chasu v statti rozglyadalisya vipadki koli lyudi roblyat mizhchasovij vibir vrahovuyuchi potochnu diskontovanu vartist svogo spozhivannya ta dohodu Kozhen period u majbutnomu eksponencialno diskontuyetsya z odnakovoyu procentnoyu stavkoyu Inshij klas ekonomistiv odnak stverdzhuye sho lyudi chasto strazhdayut vid togo sho nazivayetsya timchasovoyu korotkozoristyu Tipovoyu reakciyeyu spozhivacha na neviznachenist u comu vipadku ye rizke znizhennya vazhlivosti majbutnogo prijnyattya rishen Cej efekt nazivayetsya giperbolichnim diskontuvannyam Matematichno ce mozhna predstaviti tak f H D 1 1 k D displaystyle f H D frac 1 1 kD nbsp de f D koeficiyent diskontuvannya D zatrimka vinagorodi i k parametr sho viznachaye stupin diskontuvannya 9 Vibirayuchi mizh 100 abo 110 dolarami cherez den lyudi mozhut neterplyache vibrati negajni 100 dolariv a ne chekati zavtra shob otrimati dodatkovi 10 dolariv Odnak vibirayuchi mizh 100 dol SShA za misyac abo 110 dol SShA za misyac i den bagato hto z cih lyudej zminyuyut svoyi perevagi j teper terplyache chekayut dodatkovij den shob otrimati dodatkovi 10 dol 10 Divitsya takozh RedaguvatiTeoriya prijnyattya rishen Funkciya znizhki Komunalni pilgi Mizhchasove byudzhetne obmezhennya Povedinkova ekonomika Pravilo Kejnsa Remzi Timchasova znizhka Chasova preferenciyaSpisok literaturi Redaguvati Hampton W 2018 Things for Those Who Wait Predictive Modeling Highlights Importance of Delay Discounting for Income Attainment Frontiers in Psychology 9 1545 1545 PMC 6129952 PMID 30233449 doi 10 3389 fpsyg 2018 01545 MacKillop J 2011 Delayed reward discounting and addictive behavior Psychopharmacology 216 3 305 321 PMC 3201846 PMID 21373791 doi 10 1007 s00213 011 2229 0 Berns Gregory S Laibson David Loewenstein George 2007 Intertemporal choice Toward an Integrative Framework Trends in Cognitive Sciences 11 11 482 8 PMID 17980645 doi 10 1016 j tics 2007 08 011 Arhiv originalu za 30 travnya 2016 Thaler Richard H 1997 Irving Fisher Modern Behavioral Economist The American Economic Review 87 2 439 441 JSTOR 2950963 Arhiv originalu za 4 bereznya 2016 Varian Hal 2006 Intermediate Micro Economics Barro Robert J 1998 Macroeconomics angl vid 5th Cambridge Mass MIT Press ISBN 9780262024365 Mankiw N Gregory 2008 Principles of Macroeconomics angl vid 5th Cengage Learning ISBN 9780324589993 Adaptive expectations Friedman s permanent income hypothesis Arhiv originalu za 4 bereznya 2016 Procitovano 22 serpnya 2013 Hyperbolic discounting P Redden Joseph Hyperbolic Discounting Otrimano z https uk wikipedia org w index php title Mizhchasovij vibir amp oldid 40587885