{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Модель курса доллара к рублю на основе цены нефти\n", "\n", "В статье [\"Формула рубля\"](https://carnegie.ru/commentary/73225) Еуджениу Кирэу и Андрей Мовчан привели модель курса доллара к рублю, которая использует только один параметр - цену нефти. Я попробую здесь воспроизвести расчёты коэффициентов модели.\n", "\n", "## Данные\n", "Используются данные о цене нефти, инфляции в США и РФ, курсе доллара США к рублю. В общем случае наборы данных защищены авторским правом (copyright), и их использование требует получения разрешения. Я использую здесь только те данные, источники которых не являются коммерческими организациями. Источники требуют только цитирования.\n", "\n", "\n", "### Цена нефти\n", "Данные о дневных ценах нефти марки Brent загружаю с сайта FRED: https://fred.stlouisfed.org/series/DCOILBRENTEU. Цены спотовые, не фьючерс. Исходным источником данных является U.S. Energy Information Administration (Управление Энергетической Информации США).\n", "\n", "Для моделирования можно использовать цены марки Urals, но их сложнее получить. На сайте самого Росстата данные присутствуют не полностью. Искать нужно по фразе \"О состоянии рынка нефти\". Я не нашёл данных о ценах Urals ранее 2004.\n", "\n", "### Инфляция в США\n", "Ежемесячные данные об инфляции в США загружаю с сайта FRED: https://fred.stlouisfed.org/series/CPIAUCNS. Исходным источником данных является U.S. Bureau of Labor Statistics (Бюро Трудовой Статистики Министерства Труда США).\n", "График выпуска релизов BLS об инфляции: https://www.bls.gov/schedule/news_release/cpi.htm.\n", "\n", "### Инфляция в РФ\n", "Ежемесячные данные об инфляции РФ загружаю напрямую с сайта Росстата: https://rosstat.gov.ru/statistics/price.\n", "График выпуска релизов Росстата: https://rosstat.gov.ru/compendium/document/50798.\n", "\n", "### Курс доллара США к рублю\n", "Данные о курсе доллара к рублю загружаю напрямую с сайта ЦБ РФ: http://www.cbr.ru/development/SXML/.\n", "\n", "Данные об инфляции выходят раз в месяц. Новые данные о цене нефти и курсе валюты доступны ежедневно. Я привожу все данные к периоду в один месяц с датой каждого значения, соответствующей последнему дню в месяце. Т.е. цена нефти в декабре указана на дату 31 декабря со значением цены, равным последнему известному фактическому значению цены в этом месяце. С курсом доллара точно так же. Данные о текущем индексе инфляции за месяц аналогично указаны на дату последнего дня месяца (а не на дату начала следующего).\n", "\n", "Графики, которые я строю в дальнейшем, отображают наборы используемых сэмплов. Экстремальные значения цены нефти и курса доллара на них не соответствуют фактическим экстремальным значениям, т.к. экстремумы не совпадают с точками сэмплирования." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Загрузка данных" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Стандартная преамбула: использую bs4, requests, pandas, numpy, scipy и matplotlib." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "from bs4 import BeautifulSoup\n", "from urllib.parse import urljoin\n", "import requests, re\n", "import pandas as pd\n", "import pandas_datareader.data as web\n", "import datetime as dt\n", "import urllib.request\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import scipy.stats as stats" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "В качестве базового года я беру 2004, т.к. изначально я использовал цену нефти марки Urals, а данных по её ценам ранее этого года в у меня не было:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "BASE_YEAR = 2004\n", "base = dt.datetime(BASE_YEAR, 1, 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Загружаю дневные цены Brent, очищаю, ресемплирую:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "oil = web.DataReader('DCOILBRENTEU', 'fred', base)\n", "\n", "def cleanse_df(df):\n", " df.index.names = ['Date']\n", " df.columns = ['Value']\n", " num_df = (df.drop(df.columns, axis=1).join(df[df.columns].apply(pd.to_numeric, errors='coerce')))\n", " num_df.dropna(inplace=True)\n", " return num_df\n", "\n", "oil = cleanse_df(oil)\n", "oil = oil.resample('M').last()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Загружаю данные об инфляции в США, очищаю, ресемплирую. В загружаемых данных значение индекса инфляции за месяц указано первым днём следующего месяца. Поэтому при загрузке указываю дату на один месяц ранее базовой даты. Приведение индекса к базовому году происходит делением всех значений на первое значение. Далее первое значение отбрасываю:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "nbase = dt.datetime(BASE_YEAR - 1, 12, 1)\n", "df = web.DataReader('CPIAUCNS', 'fred', nbase)\n", "df = cleanse_df(df)\n", "df = df.resample('M').last()\n", "df = df / df.iloc[0]\n", "df = df[base:]\n", "cpi_us = df" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Загружаю данные об инфляции в РФ, очищаю, ресемплирую. Pandаs умеет работать с форматом Excel:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "url = 'https://rosstat.gov.ru'\n", "page = requests.get(url + '/statistics/price')\n", "soup = BeautifulSoup(page.content, 'html.parser')\n", "a = soup.find('a', href=re.compile(u'/storage/mediabank/ipc_mes-.*', flags=re.IGNORECASE))\n", "url += a['href']\n", "\n", "df = pd.read_excel(url, sheet_name='01', skiprows=[0, 1, 2, 4], skipfooter=5)\n", "first_year = df.columns.values[1]\n", "first_month = df[first_year].first_valid_index() + 1\n", "start = dt.datetime(first_year, first_month, 1)\n", "last_year = df.columns.values[-1]\n", "last_month = df[last_year].last_valid_index() + 1\n", "end = dt.datetime(last_year, last_month, 1)\n", "df = pd.Series(df.values.ravel('F'))\n", "df = df.iloc[12:].to_frame()\n", "df = cleanse_df(df)\n", "df.index = pd.date_range(start=start, end=end, freq='MS')\n", "df = df.resample('M').last()\n", "df = df[base:]\n", "cpi_ru = df" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Индекс на сайте Росстата представлен в виде значений к концу предыдущего месяца. Привожу полученный набор значений к индексу базового года:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "cpi_ru.iloc[0]['Value'] /= 100.0\n", "for i in range(1, len(cpi_ru)):\n", " cur = cpi_ru.iloc[i]['Value']\n", " prev = cpi_ru.iloc[i - 1]['Value']\n", " cpi_ru.iloc[i]['Value'] = cur * prev / 100.0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Загружаю курс доллара к рублю. С форматом XML pandas работать не умееет, делаю простой быстрый парсинг:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "ts_start = cpi_ru.index[0]\n", "ts_end = dt.datetime.now()\n", "start = '{:02d}/{:02d}/{}'.format(1, ts_start.month, ts_start.year)\n", "end = '{:02d}/{:02d}/{}'.format(ts_end.day, ts_end.month, ts_end.year)\n", "url = 'http://www.cbr.ru/scripts/XML_dynamic.asp?date_req1={}&date_req2={}&VAL_NM_RQ=R01235'.format(start, end)\n", "xml_data = urllib.request.urlopen(url).read()\n", "\n", "xml_str = str(xml_data).split('Date=\"')[1:]\n", "date = [i[0:0+len('dd.mm.yyyy')] for i in xml_str]\n", "value = [i[51:51+len('xx.xxxx')] for i in xml_str]\n", "df = pd.DataFrame(data=[date, value]).T\n", "df.columns = ['Date', 'Value']\n", "df.set_index('Date', inplace=True)\n", "df.index = pd.to_datetime(df.index, format='%d.%m.%Y')\n", "df['Value'] = [x.replace(',', '.') for x in df['Value']]\n", "df['Value'] = df['Value'].astype(float)\n", "df = df.resample('M').last()\n", "usd_rub = df" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Данные об инфляции в США и РФ выходят в разные дни месяца, поэтому в общем случае наборы данных будут не одинаковы по длине. При этом мне нужно будет отбросить последнее значение у одного или нескольких наборов. Данные о курсе доллара и цены нефти в общем случае содержат невалидное последнее значение. Вывожу даты последних значений, они будут отличаться:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2019-11-30 00:00:00\n", "2019-10-31 00:00:00\n", "2019-10-31 00:00:00\n", "2019-11-30 00:00:00\n" ] } ], "source": [ "print(oil.index[-1], cpi_us.index[-1], cpi_ru.index[-1], usd_rub.index[-1], sep='\\n')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Убираю ненужные значения, проверяю:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2019-10-31 00:00:00\n", "2019-10-31 00:00:00\n", "2019-10-31 00:00:00\n", "2019-10-31 00:00:00\n" ] } ], "source": [ "cpi_us = cpi_us[cpi_us.index.isin(cpi_ru.index)].dropna()\n", "cpi_ru = cpi_ru[cpi_ru.index.isin(cpi_us.index)].dropna()\n", "oil = oil[oil.index.isin(cpi_ru.index)].dropna()\n", "usd_rub = usd_rub[usd_rub.index.isin(cpi_ru.index)].dropna()\n", "print(oil.index[-1], cpi_us.index[-1], cpi_ru.index[-1], usd_rub.index[-1], sep='\\n')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Проверка данных\n", "\n", "Проверяю, что загруженные и обработанные наборы данных корректны." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Вывожу первое и последнее значения цен нефти Brent: на конец января 2004 и на конец октября 2019. Проверяю на сайте [EIA](https://www.eia.gov/dnav/pet/hist/RBRTED.htm). Совпадает." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Value 29.53\n", "Name: 2004-01-31 00:00:00, dtype: float64\n", "Value 59.3\n", "Name: 2019-10-31 00:00:00, dtype: float64\n" ] } ], "source": [ "print(oil.iloc[0], oil.iloc[-1], sep='\\n')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Вывожу график используемых значений цены нефти Brent:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "oil.plot(y='Value', label='Brent Oil Price in USD', grid=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Вывожу первое и последнее значения индекса инфляции США. Проверяю на одном из \"инфляционных калькуляторов\" в интернете. Инфляция за январь 2004 составила 0,4883%. Информации за 2019 в \"инфляционном калькуляторе\" пока нет, ограничиваюсь для проверки 2018 годом. За период с января 2004 по декабрь 2018 (оба месяца включительно) инфляция составила 36,3174%. Совпадает." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Value 1.004883\n", "Name: 2004-01-31 00:00:00, dtype: float64\n", "Value 1.363174\n", "Name: 2018-12-31 00:00:00, dtype: float64\n" ] } ], "source": [ "print(cpi_us.iloc[0], cpi_us[:'20190101'].iloc[-1], sep='\\n')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Вывожу график индекса потребительских цен США. Заметна существенная дефляция в 2008:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cpi_us.plot(y='Value', label='US CPI base=' + str(BASE_YEAR), grid=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Вывожу первое и последнее значения индекса инфляции РФ. Проверяю на одном из \"инфляционных калькуляторов\" в интернете. Инфляция за январь 2004 составила 1,75%. За период с января 2004 по декабрь 2019 (оба месяца включительно) инфляция составила 253,6669%. Совпадает." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Value 1.0175\n", "Name: 2004-01-31 00:00:00, dtype: float64\n", "Value 3.536669\n", "Name: 2019-10-31 00:00:00, dtype: float64\n" ] } ], "source": [ "print(cpi_ru.iloc[0], cpi_ru.iloc[-1], sep='\\n')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Вывожу график индекса потребительских цен РФ. Заметно существенное ускорение инфляции в 2014-2015:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cpi_ru.plot(y='Value', label='RU CPI base=' + str(BASE_YEAR), grid=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Вывожу первое и последнее значения курса доллара к рублю. Проверяю на [сайте](http://www.cbr.ru/currency_base/daily/) ЦБ РФ. Совпадает." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Value 28.4937\n", "Name: 2004-01-31 00:00:00, dtype: float64\n", "Value 63.8734\n", "Name: 2019-10-31 00:00:00, dtype: float64\n" ] } ], "source": [ "print(usd_rub.iloc[0], usd_rub.iloc[-1], sep='\\n')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Вывожу график используемых значений курса доллара США к рублю:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "usd_rub.plot(y='Value', label='CBR USDRUB', grid=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Данные готовы. Перед тем как перейти к модели, построю ещё несколько графиков.\n", "\n", "График цены нефти Brent в номинальных рублях:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "(oil * usd_rub).plot(y='Value', label='Brent Oil Price\\nin RUB', grid=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "График цены нефти Brent в рублях с поправкой на инфляцию в РФ (в рублях базового года):" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "label = 'Inflation Adjusted\\nBrent Oil Price\\nin Jan %d RUB' % BASE_YEAR\n", "(oil * usd_rub / cpi_ru).plot(y='Value', label=label, grid=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "График цены нефти Brent в долларах с поправкой на инфляцию в США (в долларах базового года):" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "label = 'Inflation Adjusted\\nBrent Oil Price\\nin Jan %d USD' % BASE_YEAR\n", "(oil / cpi_us).plot(y='Value', label=label, grid=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Модель\n", "\n", "Независимой (independent) переменной $X$ выступает цена нефти, скорректированная на инфляцию в США: \n", "\\begin{align}\n", "X_i = Oil_i / CPIUS_i\\\\\n", "\\end{align}\n", "Зависимой (dependent) переменной $Y$ выступает курс доллара к рублю, скорректированный на инфляцию в РФ и инфляцию в США:\n", "\\begin{align}\n", "Y_i = USDRUB_i / CPIRU_i * CPIUS_i\\\\\n", "\\end{align}\n", "\n", "Строю диаграмму рассеяния (scatterplot):" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "reg = pd.DataFrame()\n", "reg['x'] = (oil / cpi_us)['Value']\n", "reg['y'] = usd_rub['Value'] / cpi_ru['Value'] * cpi_us['Value']\n", "reg.plot(x='x', y='y', style='o');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Используется log-log модель, т.е. соотношение между переменными рассматривается в виде формулы:\n", "\\begin{align}\n", "\\log Y_i = \\alpha+\\beta\\log X_i\\\\\n", "\\end{align}\n", "Коэффициенты $\\alpha$ и $\\beta$ вычисляются при помощи линейной регрессии. Предварительно значения обеих переменных подвергаются логарифмической трансформации (берётся натуральный логарифм каждого значения). Диаграмма приобретает следующий вид:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "reg['xlog'] = reg['x'].apply(np.log)\n", "reg['ylog'] = reg['y'].apply(np.log)\n", "reg.plot(x='xlog', y='ylog', style='o');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Строю линейную регрессию по этим значениям, вывожу полученные коэффициенты $\\alpha$ и $\\beta$, коэффициент детерминации $R^2$, отображаю постороенную прямую на диаграмме:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "alpha = 4.972484 beta = -0.469348 r_squared = 0.787554\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "slope, intercept, r_value, p_value, std_err = stats.linregress(reg.xlog, reg.ylog)\n", "beta, alpha, r_squared = slope, intercept, r_value ** 2\n", "print('alpha = %f beta = %f r_squared = %f' % (alpha, beta, r_squared))\n", "reg.plot(x='xlog', y='ylog', style='o')\n", "plt.plot(reg.xlog, alpha + beta * reg.xlog, 'r');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Для перехода от модельной записи формулы, использовавшейся для построения регресии, к итоговому варианту, выполняю обратное преобразование - применяю экспоненциальную функцию к правой и левой части:\n", "\\begin{align}\n", "e^{\\log Y_i} = e^{\\alpha+\\beta\\log X_i}\\\\\n", "\\end{align}\n", "\\begin{align}\n", "Y_i = e^{\\alpha+\\beta\\log X_i}\\\\\n", "\\end{align}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Строю полученный ряд значений на исходной диаграмме:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "reg['model_log'] = alpha + beta * reg['xlog']\n", "reg['usd_rub_estimate'] = reg['model_log'].apply(np.exp)\n", "reg.plot(x='x', y='y', style='o')\n", "plt.plot(reg.x, reg.usd_rub_estimate, 'ro');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Для получения модельных значений курса в номинальном выражений убираю поправку на инфляцию:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "reg['usd_rub'] = usd_rub\n", "reg['usd_rub_model'] = reg['usd_rub_estimate'] * cpi_ru['Value'] / cpi_us['Value']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Строю на одном графике модельные и фактические значения курса доллара к рублю:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "[width, height] = plt.rcParams['figure.figsize']\n", "scale = 1.5\n", "plt.rcParams['figure.figsize'] = [width * scale, height * scale]\n", "plt.figure()\n", "ax = reg['usd_rub'].plot.line(grid=True, label='USDRUB CBR')\n", "ax = reg['usd_rub_model'].plot.line(grid=True, label='USDRUB Model (Brent Oil Price)')\n", "ax.legend(['USDRUB CBR', 'USDRUB Model (Brent Oil Price)']);\n", "plt.rcParams['figure.figsize'] = [width, height]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Формула\n", "Чтобы посчитать модельный курс доллара к рублю в каждый момент времени нужно знать:\n", "- цену нефти Brent,\n", "- текущий индекс инфляции в США относительно базового года,\n", "- текущий индекс инфляции в РФ относительно базового года,\n", "- рассчитанные коэффиценты $\\alpha$ и $\\beta$.\n", "\n", "Формула имеет вид:\n", "\\begin{align}\n", "USDRUB_i = \\frac{CPIRU_i}{CPIUS_i} e^{\\alpha+\\beta\\log\\frac{Oil_i}{CPIUS_i}}\\\\\n", "\\end{align}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "На 31 октября 2019 года значения параметров у меня следующие:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "oil_last = 59.300000 cpi_us_last = 1.396343 cpi_ru_last = 3.536669 alpha = 4.972484 beta = -0.469348\n" ] } ], "source": [ "oil_last, cpi_us_last, cpi_ru_last = oil.Value[-1], cpi_us.Value[-1], cpi_ru.Value[-1]\n", "print('oil_last = %f cpi_us_last = %f cpi_ru_last = %f alpha = %f beta = %f' %\n", " (oil_last, cpi_us_last, cpi_ru_last, alpha, beta))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Модельное значение курса равно:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "62.95\n" ] } ], "source": [ "usdrub_model_last = np.exp(alpha + beta * np.log(oil_last / cpi_us_last)) * cpi_ru_last / cpi_us_last\n", "print('%.2f' % usdrub_model_last)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Дисконт Urals к Brent\n", "В 2022 г. существенно расширился дисконт рыночной цены нефти марки Urals к рыночной цене Brent. Текущее значение дисконта можно вычислить по данным с сайта Neste: https://www.neste.com/investors/market-data/crude-oil-prices ." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Использованные материалы\n", "1. Кирэу Е., Мовчан А. \"Формула рубля. Как рассчитать курс российской валюты в любой момент времени\" // carnegie.ru, 28.09.2017. URL: https://carnegie.ru/commentary/73225.\n", "2. U.S. Energy Information Administration, Crude Oil Prices: Brent - Europe [DCOILBRENTEU], retrieved from FRED, Federal Reserve Bank of St. Louis; https://fred.stlouisfed.org/series/DCOILBRENTEU, November 27, 2019.\n", "3. U.S. Bureau of Labor Statistics, Consumer Price Index for All Urban Consumers: All Items in U.S. City Average [CPIAUCNS], retrieved from FRED, Federal Reserve Bank of St. Louis; https://fred.stlouisfed.org/series/CPIAUCNS, November 27, 2019.\n", "4. Benoit K. \"Linear Regression Models with Logarithmic Transformations\" // Methodology Institute, London School of Economics, March 17, 2011. URL: https://kenbenoit.net/assets/courses/ME104/logmodels2.pdf.\n", "5. Crude oil prices // Neste, April 24, 2023. URL: https://www.neste.com/investors/market-data/crude-oil-prices ." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
2019 Mikhail Gruzdev <michail.gruzdev@gmail.com>
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