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"# The Euro on Forex\n",
"## Exploring Twenty Years of Volatility\n",
"### History\n",
"The currency exchange market has been around since coins were first used. At the end of the 1800s the development of the gold standard fixed currency values to a certain amount of gold, allowing for an internationally stable monetary system (1). Eventually the amount of gold was not enough to keep up with the demand for currency. After World War II the Bretton Woods Accord set the US Dollar as the global fixed currency. This was an adjustable rate, but still determined by central banks and state actors (2). The US dollar was pegged to gold at the time, but during the 1970s the same problem occurred with the dollar. In August of 1971 President Richard Nixon unilaterally canceled direct international convertability of the US dollar to gold, inadvertently beginning a regime of free-floating currencies (3).\n",
"\n",
"### Today\n",
"The modern foreign exchange market (also called Forex, FX, or currency market) is a direct broker to dealer global marketplace that determines the market value and exchange rate of currencies all over the world. It is open 24 hours a day, 5 days a week. Currencies are always traded in pairs, and the value expressed is of one currency relative to another. For example, at the end of the day on 11/19/21 the Euro to US dollar rate was 1.13, or $1.13 equals €1. All of the twenty most traded currencies are free-floating, their value is determined by political conditions, economic factors and market psychology.\n",
"\n",
"Forex is by far the largest financial market in the world, in 2019 having a daily volume of over $6.6 trillion (4). The Euro to US dollar (EURUSD) is the most traded currency pair, taking about 30% of the multi-billion dollar Forex turnover (5).\n",
"\n",
"### Methodology\n",
"This study examines the volatility of the value of the Euro to eight other currencies. It uses the 2019 Triennial Central Bank Survey by the Bank for International Settlements to determine four currencies that represent large portions of the market and four currencies that represent small portions of the market. The highly traded currencies are the US dollar, Japanese yen, UK pound, and Australian dollar. The Israeli shekel, Phillipine peso, Malaysian ringgit, and Romanian leu comprise the group of least traded currencies.\n",
"\n",
"The data set used is based on daily closing values provided by the European Central Bank and compiled by Daria Chemkaeva. It is updated weekly, the version used for this study was downloaded from Kaggle in November 2021.\n",
"\n",
"### Summary\n",
"Text with conclusion.\n",
" \n",
"\n",
"## Initial Look\n",
"The first steps are to import the basic libraries, open the file, and take an initial look at the dataset.\n",
"\n"
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" Period\\Unit: [Australian dollar ] [Bulgarian lev ] [Brazilian real ] [Canadian dollar ] [Swiss franc ] [Chinese yuan renminbi ] [Cypriot pound ] [Czech koruna ] [Danish krone ] [Estonian kroon ] [UK pound sterling ] [Greek drachma ] [Hong Kong dollar ] [Croatian kuna ] [Hungarian forint ] [Indonesian rupiah ] [Israeli shekel ] [Indian rupee ] [Iceland krona ] [Japanese yen ] [Korean won ] [Lithuanian litas ] [Latvian lats ] [Maltese lira ] [Mexican peso ] [Malaysian ringgit ] [Norwegian krone ] [New Zealand dollar ] [Philippine peso ] [Polish zloty ] [Romanian leu ] [Russian rouble ] [Swedish krona ] [Singapore dollar ] [Slovenian tolar ] [Slovak koruna ] [Thai baht ] [Turkish lira ] [US dollar ] [South African rand ]\n",
"5694 1999-01-08 1.8406 NaN NaN 1.7643 1.6138 NaN 0.58187 34.938 7.4433 15.6466 0.70940 324.00 9.0302 NaN 250.15 9321.63 NaN NaN 80.9900 130.09 1366.73 4.66430 0.6654 0.4419 11.4414 4.4295 8.5900 2.1557 44.295 4.0363 1.3143 27.2075 9.1650 1.9537 188.8400 42.560 42.5590 0.3718 1.1659 6.7855 \n",
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"\n",
"RangeIndex: 5699 entries, 0 to 5698\n",
"Data columns (total 41 columns):\n",
" # Column Non-Null Count Dtype \n",
"--- ------ -------------- ----- \n",
" 0 Period\\Unit: 5699 non-null object \n",
" 1 [Australian dollar ] 5699 non-null object \n",
" 2 [Bulgarian lev ] 5297 non-null object \n",
" 3 [Brazilian real ] 5431 non-null object \n",
" 4 [Canadian dollar ] 5699 non-null object \n",
" 5 [Swiss franc ] 5699 non-null object \n",
" 6 [Chinese yuan renminbi ] 5431 non-null object \n",
" 7 [Cypriot pound ] 2346 non-null object \n",
" 8 [Czech koruna ] 5699 non-null object \n",
" 9 [Danish krone ] 5699 non-null object \n",
" 10 [Estonian kroon ] 3130 non-null object \n",
" 11 [UK pound sterling ] 5699 non-null object \n",
" 12 [Greek drachma ] 520 non-null object \n",
" 13 [Hong Kong dollar ] 5699 non-null object \n",
" 14 [Croatian kuna ] 5431 non-null object \n",
" 15 [Hungarian forint ] 5699 non-null object \n",
" 16 [Indonesian rupiah ] 5699 non-null object \n",
" 17 [Israeli shekel ] 5431 non-null object \n",
" 18 [Indian rupee ] 5431 non-null object \n",
" 19 [Iceland krona ] 3292 non-null float64\n",
" 20 [Japanese yen ] 5699 non-null object \n",
" 21 [Korean won ] 5699 non-null object \n",
" 22 [Lithuanian litas ] 4159 non-null object \n",
" 23 [Latvian lats ] 3904 non-null object \n",
" 24 [Maltese lira ] 2346 non-null object \n",
" 25 [Mexican peso ] 5699 non-null object \n",
" 26 [Malaysian ringgit ] 5699 non-null object \n",
" 27 [Norwegian krone ] 5699 non-null object \n",
" 28 [New Zealand dollar ] 5699 non-null object \n",
" 29 [Philippine peso ] 5699 non-null object \n",
" 30 [Polish zloty ] 5699 non-null object \n",
" 31 [Romanian leu ] 5637 non-null float64\n",
" 32 [Russian rouble ] 5699 non-null object \n",
" 33 [Swedish krona ] 5699 non-null object \n",
" 34 [Singapore dollar ] 5699 non-null object \n",
" 35 [Slovenian tolar ] 2085 non-null object \n",
" 36 [Slovak koruna ] 2608 non-null object \n",
" 37 [Thai baht ] 5699 non-null object \n",
" 38 [Turkish lira ] 5637 non-null float64\n",
" 39 [US dollar ] 5699 non-null object \n",
" 40 [South African rand ] 5699 non-null object \n",
"dtypes: float64(3), object(38)\n",
"memory usage: 1.8+ MB\n"
]
},
{
"data": {
"text/plain": [
"None"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# import libraries and set display options\n",
"import pandas as pd\n",
"import pprint\n",
"pd.options.display.float_format = '{:20,.4f}'.format\n",
"pd.set_option('display.max_rows', None)\n",
"pd.set_option('display.max_columns', None)\n",
"pd.set_option('display.width', 1000)\n",
"pd.set_option('display.colheader_justify', 'center')\n",
"pd.set_option('display.precision', 3)\n",
"\n",
"# open file\n",
"x_rates = pd.read_csv(\"euro-daily-hist_1999_2020.csv\")\n",
"\n",
"# head, tail, and basic info\n",
"display(x_rates.head())\n",
"display(x_rates.tail())\n",
"display(x_rates.info())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Initial Look Continued\n",
"The dataset covers the time period from January 1999 to January 2021. It has 5699 rows and 41 columns. Some of these columns have less than half the number of entries as other columns. In the original data set, cells with missing entries have a hyphen (-). This causes problems with a lot of the functions that will be used. For the time being the hyphens will be converted to the value ```NaN```, which preserves the row of information.\n",
"## Data Cleaning\n",
"The first steps will be:\n",
"* Clean and modify column names\n",
"* Convert to `datetime` data type\n",
"* Sort the values with oldest first and reset the index\n",
"* Clean currency columns\n",
"* Convert exchange rates to floats"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/var/folders/bz/5cj1tzbj5xn319rpqrw6gpmh0000gn/T/ipykernel_18137/3201399205.py:3: FutureWarning: The default value of regex will change from True to False in a future version. In addition, single character regular expressions will *not* be treated as literal strings when regex=True.\n",
" x_rates.columns = x_rates.columns.str.replace(\"[\",\"\").str.replace(\"]\",\"\")\n"
]
}
],
"source": [
"# strip brackets and trailing space from country names\n",
"# replace remaining space with underscore\n",
"x_rates.columns = x_rates.columns.str.replace(\"[\",\"\").str.replace(\"]\",\"\")\n",
"x_rates.columns = x_rates.columns.str.rstrip()\n",
"x_rates.columns = x_rates.columns.str.replace(\" \",\"_\")\n",
"\n",
"# rename columns\n",
"x_rates.rename(columns={\"Period\\\\Unit:\":\"Date\",\n",
" \"Chinese_yuan_renminbi\":\"Chinese_yuan\",\n",
" \"UK_pound_sterling\":\"UK_pound\"}, inplace=True)\n",
"\n",
"# convert datetime\n",
"x_rates[\"Date\"] = pd.to_datetime(x_rates[\"Date\"])\n",
"\n",
"# resort and reindex\n",
"x_rates.sort_values(\"Date\", inplace=True)\n",
"x_rates.reset_index(drop=True, inplace=True)\n",
"\n",
"# convert hyphens in currency columns to NaN\n",
"import numpy as np\n",
"x_rates = x_rates.replace(\"-\", np.nan)\n",
"\n",
"# convert exchange rate values to float\n",
"x_rates.iloc[:,1:] = x_rates.iloc[:,1:].astype(float)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Euro to Dollar\n",
"The change in the Euro exchange rate over time can be visualized in a line graph. The US dollar is the first currency to be examined."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# create a euro to dollar dataframe and add 30 day rolling mean column\n",
"us_dollar = x_rates[[\"Date\",\"US_dollar\"]].copy()\n",
"us_dollar[\"rolling_mean_30\"] = us_dollar[\"US_dollar\"].rolling(30).mean()\n",
"\n",
"# line graph for euro to dollar exchange rate\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"plt.plot(us_dollar[\"Date\"], us_dollar[\"rolling_mean_30\"])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# create nan group and get dates\n",
"nan_dollar_group = us_dollar[us_dollar[\"US_dollar\"].isnull()]\n",
"nan_days = nan_dollar_group[\"Date\"]\n",
"\n",
"# line graph showing 30 day rolling mean with and without vertical bars representing null days\n",
"plt.figure(figsize=(10,3.75))\n",
"plt.subplot(1,2,1)\n",
"plt.plot(us_dollar[\"Date\"], us_dollar[\"rolling_mean_30\"])\n",
"plt.yticks([])\n",
"plt.subplot(1,2,2)\n",
"plt.plot(us_dollar[\"Date\"], us_dollar[\"rolling_mean_30\"])\n",
"plt.yticks([])\n",
"for xc in nan_days:\n",
" plt.axvline(x=xc, color=\"lightcyan\")\n",
"plt.suptitle(\"Euro to US dollar exchange rates, dataset w/ NaN values and corresponding dates in light blue\")\n",
"plt.show()\n",
"\n",
"# create a dollar to euro dataframe with NaN dates removed\n",
"US_dollar_nonull = x_rates[x_rates[\"US_dollar\"].notna()].copy()\n",
"US_dollar_nonull[\"rolling_mean_30\"] = US_dollar_nonull[\"US_dollar\"].rolling(30).mean()\n",
"\n",
"# line graph showing 30 day rolling mean with and without NaN dates\n",
"plt.figure(figsize=(10,3.75))\n",
"plt.subplot(1,2,1)\n",
"plt.plot(us_dollar[\"Date\"], us_dollar[\"rolling_mean_30\"])\n",
"plt.yticks([])\n",
"plt.subplot(1,2,2)\n",
"plt.plot(US_dollar_nonull[\"Date\"], US_dollar_nonull[\"rolling_mean_30\"])\n",
"plt.yticks([])\n",
"plt.suptitle(\"Euro to US dollar exchange rates, with NaN dates and corresponding dates removed\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Euro to Dollar Continued\n",
"The line graph shows that the exchange rate between the Euro and US dollar is highly variable. There are also a lot of gaps in the graph. These represent points in the data frame where information for a particular day is missing. The third chart shows vertical blue stripes for all dates with missing information. These correspond perfectly with the gaps in the original chart. One option is to remove all the missing rows. The final chart, with these rows removed, appears to be good match and is easier to look at. All further currency data frames will be handled the same. \n",
"\n",
"## Euro to Highly Traded Currencies\n",
"The line graphs represent the exchange rates for the Euro to the US dollar, Japanese yen, UK pound, and Australian dollar. These four currencies, in addition to the Euro, are the top five currenceis in the Forex market. All five together comprise over 75% of daily trades (4)."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"column_names = list(x_rates)\n",
"column_names = column_names[1:]\n",
"\n",
"# us_dollar = x_rates[[\"Date\",\"US_dollar\"]].copy()\n",
"# us_dollar[\"rolling_mean_30\"] = us_dollar[\"US_dollar\"].rolling(30).mean()\n",
"\n",
"# def rounder(element):\n",
"# element = element\n",
" \n",
"# rf = x_rates\n",
"# rf.tail()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# function to build data frame for Euro to other half of trading pair\n",
"xchange_list = []\n",
"def xchange(column):\n",
" xchange_list.append(column)\n",
" dataset = x_rates[[\"Date\",column]].copy()\n",
" dataset = dataset[dataset[column].notna()]\n",
" dataset[\"rolling_mean_30\"] = dataset[column].rolling(30).mean()\n",
" return dataset\n",
"\n",
"# is there a way to apply this function to all the columns in x_rates?\n",
"# one drawback would be having 42 data frames\n",
"# but I don't know how else to deal with NaN cells being different for each currency\n",
"# i should see if there's a way to add the rolling mean column for each currency\n",
"\n",
"# calling xchange function on four highly traded currencies\n",
"us_dollar = xchange(\"US_dollar\")\n",
"japanese_yen = xchange(\"Japanese_yen\")\n",
"uk_pound = xchange(\"UK_pound\")\n",
"australian_dollar = xchange(\"Australian_dollar\")\n",
"\n",
"# line graph showing Euro to each trading pair\n",
"plt.figure(figsize=(10,7.5))\n",
"plt.subplot(2,2,1)\n",
"plt.plot(us_dollar[\"Date\"], us_dollar[\"rolling_mean_30\"])\n",
"plt.title(\"Euro to US dollar\")\n",
"plt.yticks([])\n",
"plt.subplot(2,2,2)\n",
"plt.plot(japanese_yen[\"Date\"], japanese_yen[\"rolling_mean_30\"])\n",
"plt.title(\"Euro to Japanese yen\")\n",
"plt.yticks([])\n",
"plt.subplot(2,2,3)\n",
"plt.plot(uk_pound[\"Date\"], uk_pound[\"rolling_mean_30\"])\n",
"plt.title(\"Euro to UK pound\")\n",
"plt.yticks([])\n",
"plt.subplot(2,2,4)\n",
"plt.plot(australian_dollar[\"Date\"], australian_dollar[\"rolling_mean_30\"])\n",
"plt.title(\"Euro to Australian dollar\")\n",
"plt.yticks([])\n",
"plt.subplots_adjust(hspace=0.3)\n",
"plt.show()\n",
"\n",
"# with less code?\n",
"# plt.figure(figsize=(10,7.5))\n",
"# for i in range(1, 5):\n",
"# plt.subplot(2,2,i)\n",
"# plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Euro to Highly Traded Currencies Continued\n",
"stuff\n",
"stuff\n",
"## Euro to Least Traded Currencies\n",
"The line graphs represent the exchange rates for the Euro to the Israeli shekel, Philippine peso, Malaysian ringgit, and Romanian leu. These four currencies have low trade volumes, all five together comprise less than 0.4% of daily trades (4)."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# calling xchange function on four least traded currencies\n",
"israeli_shekel = xchange(\"Israeli_shekel\")\n",
"philippine_peso = xchange(\"Philippine_peso\")\n",
"malaysian_ringgit = xchange(\"Malaysian_ringgit\")\n",
"romanian_leu = xchange(\"Romanian_leu\")\n",
"\n",
"# line graph showing Euro to each trading pair\n",
"plt.figure(figsize=(10,7.5))\n",
"plt.subplot(2,2,1)\n",
"plt.plot(israeli_shekel[\"Date\"], israeli_shekel[\"rolling_mean_30\"])\n",
"plt.title(\"Euro to Israeli shekel\")\n",
"plt.yticks([])\n",
"plt.subplot(2,2,2)\n",
"plt.plot(philippine_peso[\"Date\"], philippine_peso[\"rolling_mean_30\"])\n",
"plt.title(\"Euro to Philippine peso\")\n",
"plt.yticks([])\n",
"plt.subplot(2,2,3)\n",
"plt.plot(malaysian_ringgit[\"Date\"], malaysian_ringgit[\"rolling_mean_30\"])\n",
"plt.title(\"Euro to Malaysian ringgit\")\n",
"plt.yticks([])\n",
"plt.subplot(2,2,4)\n",
"plt.plot(romanian_leu[\"Date\"], romanian_leu[\"rolling_mean_30\"])\n",
"plt.title(\"Euro to Romanian leu\")\n",
"plt.yticks([])\n",
"plt.subplots_adjust(hspace=0.3)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Euro to Least Traded Currencies Continued\n",
"Israeli shekel and Philppine peso both appear to be increasing in value and the Romanian leu is definitely loosing value. The shekel and leu also appear to be fairly stable, or have low volatility. Determining volatility of the eight currencies for the past two decades illustrates part of the story of the twenty-first century.\n",
"\n",
"## Volatility\n",
"stuff"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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XN3JJs6jLa9aeB/wccGOSG5q21zMo0nYkuQi4E3gpQFXdnGQHcAuDb7UXV9XDHcYnteY1IKvXpK+5TbIZ2Aywfv36jqLWcvELqJZDZ8VaVf0Vo69DAzhzgX0uBS7tKiZJWoz519wOThiM3nRE2wHX3MLgUg5gG8CmTZtGbiNJw5zBQJJG6OKaW0laCos1SZqnxTW3cOA1txckeUySk/GaW0kTtCzjrEnSCuM1t5J6w2JNkubxmltJfeJpUEmSpB6zWJMkSeoxizVJkqQes1iTJEnqMW8wkCSpBWcr0LR4ZE2SJKnHPLKmzvgtVJKmb1Qudn7jlcUja5IkST1msSZJktRjFmuSJEk95jVr0hJ4DYgkabl4ZE2SJKnHLNYkSZJ6zNOgkiStMvMv5fAyjn7zyJokSVKPeWRNkqR5HNRbfWKxpokwsXmHqCSpG54GlSRJ6jGLNUmSpB6zWJMkSeoxr1mTJK16XnerPrNYkyRplfMGqX6zWJM65MCTUv94FK0dC7j+sFjTkpjsJElaHhZrOiQLM0mSpqd3xVqSs4C3A2uA91TV1imHtOpYnHWnze/W0wwrl/mrn8xpk+OlHdPRq2ItyRrg94EXAnuBLyXZWVW3TDcyafl4ncjKZP5afv6taLXoVbEGnAbsrqqvAyS5HDgPMNlNgN8uVy7/U1oRzF8TtNR8ZZ5bXkv9fZu/FqdvxdoJwF1Dr/cC/3J4gySbgc3Ny39KctsyxTbfscDfTulnT9os9QVWSX/y5ilEMr5JfDY/MolAOnDI/AUTy2F9/zdufOOZ+fg6zl99/v0tKX/1rVjLiLZ6xIuqbcC25QlnYUl2VdWmaccxCbPUF7A/fTZLfRnhkPkLJpPD+v57NL7xGN94+h7fUvRtuqm9wElDr08E7p5SLJK0GOYvSZ3oW7H2JWBjkpOTPBq4ANg55ZgkqQ3zl6RO9Oo0aFU9lOSXgc8xuPX9fVV185TDWsjUT8VO0Cz1BexPn81SXx5hmfNX33+Pxjce4xtP3+NbtFQdcEmFJEmSeqJvp0ElSZI0xGJNkiSpxyzWDiLJMUmuSHJ783z0AtudleS2JLuTbBmx/teTVJJju496tHH7kuR3knwtyVeTfDzJUcsW/CFiG1qfJO9o1n81yalt952GpfYnyUlJ/jzJrUluTvKa5Y/+QON8Ps36NUm+nORTyxd1P00i9yT5lWbdzUl+u2/xNes7yY19zXd9z2F9z0mrOsdUlY8FHsBvA1ua5S3Am0dsswb4a+BJwKOBrwCnDK0/icEFx98Ajl2pfQF+CjisWX7zqP07jv+gv+dmm7OBzzIY7+p04Jq2+07h8xinP+uAU5vlJwD/ZyX3Z2j9rwIfAj41zb704TGBv9fnA1cCj2leH9en+Jr1neXGPua7vuewvuek1Z5jPLJ2cOcB25vl7cD5I7b5/hQzVfUgMDfFzJy3Ar/BiMExl9lYfamqz1fVQ812VzMYQ2o5Her3TPP6shq4GjgqybqW+y63JfenqvZV1fUAVXU/cCuD0fOnaZzPhyQnAucA71nOoHts3NzzKmBrVT0AUFX39iw+6DY39jHf9T2H9T0nreocY7F2cMdX1T6A5vm4EduMmmLmBIAk5wLfrKqvdB1oC2P1ZZ6fZ/DtZTm1iW2hbdr2azmN05/vS7IBeDZwzeRDXJRx+/M2Bv9xf6+j+Faacf9enwL8myTXJPmLJM/tU3zLkBv7mO/6nsP6npNWdY7p1Thr05DkSuCHR6x6Q9u3GNFWSY5o3uOnlhrbYnXVl3k/4w3AQ8AHFxfd2NpM5bPQNq2mAVpm4/RnsDJ5PPBR4LVVdd8EY1uKJfcnyYuBe6vquiRnTDqwvur47/Uw4GgGp4KeC+xI8qRqzgVNM75J5cYVmO/6nsP6npNWdY5Z9cVaVf3kQuuS3DN3iLc5lDrqVMJCU8w8GTgZ+EqSufbrk5xWVX8zsQ4M6bAvc+9xIfBi4MzFJP0JaTOVz0LbPLrFvsttnP6Q5FEMkuIHq+pjHcbZ1jj9+Y/AuUnOBh4LHJnkA1X1sg7jnbqO/173Ah9r/k6vTfI9BpNb7+9BfBPJjSsw3/U9h/U9J63uHDPpi+Bm6QH8Do+8SPW3R2xzGPB1Bsln7qLHp4/Ybg/TvcFgrL4AZwG3AGunFP8hf88MrkcYvrj02sV8RiuoPwEuA942zT5Mqj/ztjmDFXjxbwe/z3H/Xl8J/Pdm+SkMTg2lL/HN227iubGP+a7vOazvOWm155ipB9DnB/AvgKuA25vnY5r2JwKfGdrubAZ3v/w18IYF3mviCWk5+wLsbhL+Dc3jD6bQhwNiY/Cf0iub5QC/36y/Edi0mM9opfQH+HEGh/+/OvR5nL1S+zPvPVZkIu3gdznu3+ujgQ8ANwHXAy/oU3zz3mviubGv+a7vOazvOWk15xinm5IkSeox7waVJEnqMYs1SZKkHrNYkyRJ6jGLNUmSpB6zWJMkSeoxizVJkqQes1iTJEnqMYs1SZKkHrNYkyRJ6jGLNUmSpB6zWJMkSeoxizVJkqQes1iTJEnqMYs1SZKkHrNYkyRJ6jGLNUmSpB47bNoBjOPYY4+tDRs2TDsMScvouuuu+9uqWjvtOCbBHCatLkvNXyu6WNuwYQO7du2adhiSllGSb0w7hkkxh0mry1Lzl6dBJUmSesxiTZIkqccs1iRJknrMYk2SJKnHLNYkSZJ6zGJNkiSpx1b00B1aHhu2fPqAtj1bz5lCJJK08phDNS6PrEmSJPWYxZokSVKPWaxJkiT1mMWaJElSj1msSZIk9ZjFmiRJUo9ZrEmSJPWY46xJkrTM5o+95rhrOhiPrEmSJPWYxZokSVKPWaxJkiT1mMWapFUryfuS3JvkpqG2Y5JckeT25vnooXWXJNmd5LYkLxpqf06SG5t170iS5e6LpNllsSZpNftj4Kx5bVuAq6pqI3BV85okpwAXAE9v9nlnkjXNPu8CNgMbm8f895SkJfNuUC2JdzJpFlTVXybZMK/5POCMZnk78AXgdU375VX1AHBHkt3AaUn2AEdW1RcBklwGnA98tuPwJa0SHlmTpEc6vqr2ATTPxzXtJwB3DW23t2k7oVme3z5Sks1JdiXZtX///okGLmk2WaxJUjujrkOrg7SPVFXbqmpTVW1au3btxIKTNLss1iTpke5Jsg6geb63ad8LnDS03YnA3U37iSPaJWkiLNYk6ZF2Ahc2yxcCnxxqvyDJY5KczOBGgmubU6X3Jzm9uQv05UP7SNLYvMFA0qqV5E8Y3ExwbJK9wBuBrcCOJBcBdwIvBaiqm5PsAG4BHgIurqqHm7d6FYM7Sw9ncGOBNxdImphOi7Uk/xX4BQbXb9wIvAI4AvhTYAOwB/iZqvr7ZvtLgIuAh4FXV9XnuoxP0upWVT+7wKozF9j+UuDSEe27gGdMMDRJ+r7OToMmOQF4NbCpqp4BrGEwRtFSxjCSJElalbq+Zu0w4PAkhzE4onY3g7GKtjfrtzMYjwiGxjCqqjuA3cBpHccnSZLUa50Va1X1TeB3GVzzsQ/4x6r6PIsfw0iSJGnV6vI06NEMjpadDDwReFySlx1slxFtB4xV5ICSkiRpNenyNOhPAndU1f6q+i7wMeBfs/gxjB7BASUlSdJq0mWxdidwepIjmrGHzgRuZZFjGHUYnyRJUu91NnRHVV2T5CPA9QzGJPoysA14PIsfw0iSJGlV6nSctap6I4NBJoc9wCLHMJIkSVqtnG5KkiSpxyzWJEmSesy5QXWADVs+Pe0QJElSwyNrkiRJPWaxJkmS1GMWa5IkST1msSZJktRjFmuSJEk9ZrEmSZLUYxZrkiRJPWaxJkmS1GMOiitJIyT5r8AvAAXcCLwCOAL4U2ADsAf4mar6+2b7S4CLgIeBV1fV55Y/ak2bg4qrCx5Zk6R5kpwAvBrYVFXPANYAFwBbgKuqaiNwVfOaJKc0658OnAW8M8maacQuafZYrEnSaIcBhyc5jMERtbuB84DtzfrtwPnN8nnA5VX1QFXdAewGTlvecCXNKos1SZqnqr4J/C5wJ7AP+Meq+jxwfFXta7bZBxzX7HICcNfQW+xt2iRpbBZrkjRPkqMZHC07GXgi8LgkLzvYLiPaaoH33pxkV5Jd+/fvHz9YSTPPYk2SDvSTwB1Vtb+qvgt8DPjXwD1J1gE0z/c22+8FThra/0QGp00PUFXbqmpTVW1au3ZtZx2QNDss1iTpQHcCpyc5IkmAM4FbgZ3Ahc02FwKfbJZ3AhckeUySk4GNwLXLHLOkGeXQHZI0T1Vdk+QjwPXAQ8CXgW3A44EdSS5iUNC9tNn+5iQ7gFua7S+uqoenErykmWOxJkkjVNUbgTfOa36AwVG2UdtfClzadVySVh+LNU3EqIEg92w9ZwqRSJI0W7xmTZIkqcdaFWtJntF1IJI0DvOUpFnV9sjaHyS5Nsl/SXJUlwFJ0hKZpyTNpFbFWlX9OPCfGYwjtCvJh5K8sNPIJGkRzFOSZlXrGwyq6vYkvwnsAt4BPLsZf+j1VfWxUfs0327fAzyDwWjePw/cBvwpsAHYA/xMVf19s/0lwEXAw8Crq+pzS+qVpFVpKXlK6gNv0tLBtL1m7ceSvJXBoJAvAH66qn60WX7rQXZ9O/BnVfU04JnN/luAq6pqI3BV85okpwAXAE8HzgLemWTNknoladUZI09JUq+1vWbtfzIYHPKZVXVxVV0PUFV3A785aockRwI/Aby32fbBqvoHBvPtbW822w6c3yyfB1xeVQ9U1R3AbuC0xXZI0qq16DwlSStB29OgZwPfmRuRO8kPAY+tqn+uqvcvsM+TgP3AHyV5JnAd8Brg+KraB1BV+5Ic12x/AnD10P57m7ZHSLIZ2Aywfv36luFLWgWWkqckqffaHlm7Ejh86PURTdvBHAacCryrqp4NfJvmlOcCMqKtDmhwEmRJoy0lT0lS77Ut1h5bVf8096JZPuIQ++wF9lbVNc3rjzAo3u5Jsg6geb53aPuThvY/Ebi7ZXyStJQ8JUm917ZY+3aSU+deJHkO8J2D7VBVfwPcleSpTdOZDCY53glc2LRdCHyyWd4JXJDkMUlOBjYC17aMT5IWnackaSVoe83aa4EPJ5k70rUO+E8t9vsV4INJHg18HXgFgwJxR5KLgDuBlwJU1c1JdjAo6B4CLp679kSSWngtS8tTktRrrYq1qvpSkqcBT2VwbdnXquq7Lfa7Adg0YtWZC2x/KXBpm5gkadhS85Qk9V3rQXGB5zIYyPYwBgNNUlWXdRKVJC2NeUrSzGlVrCV5P/Bk4AYGswvA4E5Nk6CkXjBPSZpVbY+sbQJOqaoDhtKQpJ4wT0maSW3vBr0J+OEuA5GkMZmnJM2ktkfWjgVuSXIt8MBcY1Wd20lUkrR45ilJM6ltsfamLoOQpAl407QDkKQutDoNWlV/AewBHtUsf4nBhMmS1AuTzlNJjkrykSRfS3Jrkn+V5JgkVyS5vXk+emj7S5LsTnJbkheN3SFJarQq1pL8IoPpov6waToB+ERHMUnSonWQp94O/FlVPQ14JnArg/mNr6qqjcBVzWuSnAJcADwdOAt4Z5I1Y/xsSfq+tjcYXAw8D7gPoKpuB47rKihJWoKJ5akkRwI/Aby3ea8Hq+ofgPOA7c1m24Hzm+XzgMur6oGqugPYDZy2pF5I0jxti7UHqurBuRdJDmMwfpEk9cUk89STgP3AHyX5cpL3JHkccHxV7QNonueKwROAu4b239u0HSDJ5iS7kuzav3//EsOTtJq0Ldb+IsnrgcOTvBD4MPC/ugtLkhZtknnqMOBU4F1V9Wzg2zSnPBeQEW0jC8Wq2lZVm6pq09q1a5cYnqTVpO3doFuAi4AbgV8CPgO8p6ugNBs2bPn0AW17tp4zhUi0SkwyT+0F9lbVNc3rjzTvf0+SdVW1L8k64N6h7U8a2v9E4G4kaQLaTuT+PeDdzUOSemeSeaqq/ibJXUmeWlW3AWcCtzSPC4GtzfMnm112Ah9K8hbgicBG4Npx45AkaD836B2MOKRfVU+aeESStAQd5KlfAT6Y5NHA14FXMLh0ZEeSi4A7gZc2P+PmJDsYFHMPARdX1cOj31aSFmcxc4POeSyDBHXM5MORpCWbaJ6qqhvmveecMxfY/lLg0qX+PElaSNtBcb819PhmVb0NeEG3oUlSe+YpSbOq7WnQU4de/hCDb5tP6CQiLatRNwFIK5F5StKsansa9PeGlh9iMKXLz0w8GklaOvOUpJnU9m7Q53cdiCSNwzwlaVa1PQ36qwdbX1VvmUw4krQ05ilJs2oxd4M+l8FYQgA/Dfwlj5xeRZKmyTwlaSa1LdaOBU6tqvsBkrwJ+HBV/UJXgUnSIpmnJM2ktnODrgceHHr9ILBh4tFI0tKZpyTNpLZH1t4PXJvk4wxGCH8JcFlnUUnS4pmnJM2ktoPiXspgqpW/B/4BeEVV/Y82+yZZk+TLST7VvD4myRVJbm+ejx7a9pIku5PcluRFi+6NpFVrnDwlSX3W9jQowBHAfVX1dmBvkpNb7vca4Nah11uAq6pqI3BV85okpwAXAE8HzgLemWTNIuKTpKXmKUnqrbZDd7yRwZ1WTwX+CHgU8AHgeYfY70TgHAbz5c3dVn8ecEazvB34AvC6pv3yqnoAuCPJbuA04IuteyNp1VpqnpLG4SwwWg5tj6y9BDgX+DZAVd1Nu2lc3gb8BvC9obbjq2pf8z77gOOa9hN45C32e5s2SWpjqXlKknqtbbH2YFUVg4t2SfK4Q+2Q5MXAvVV1XcufkRFtNeJ9NyfZlWTX/v37W761pFVg0XlKklaCtsXajiR/CByV5BeBK4F3H2Kf5wHnJtkDXA68IMkHgHuSrANonu9ttt8LnDS0/4nA3fPftKq2VdWmqtq0du3aluFLWgWWkqckqfcOWawlCfCnwEeAjzK4HuS/VdX/e7D9quqSqjqxqjYwuHHgf1fVyxiMLn5hs9mFwCeb5Z3ABUke01wUvBG4dvFdkrTaLDVPSdJKcMgbDKqqknyiqp4DXDGBn7mVwTfgi4A7gZc2P+fmJDuAW4CHgIur6uEJ/DxJM66DPCVJvdF2UNyrkzy3qr60lB9SVV9gcNcnVfUt4MwFtruUwZ2jkrRYY+UpSeqrtsXa84FXNteffZvBzQBVVT/WVWCStEjmKc2U+cOC7Nl6zpQi0bQdtFhLsr6q7gT+3TLFI0mL0mWeagbm3gV8s6penOQYBtfGbQD2AD9TVX/fbHsJcBHwMPDqqvrcpOORtDod6gaDTwBU1TeAt1TVN4YfnUcnSYf2CegsTzkDi6SpO1SxNjz22ZO6DESSlqiTPDU0A8t7hprPYzDzCs3z+UPtl1fVA1V1BzA3A4skje1QxVotsCxJfdFVnnobzsAiqQcOdYPBM5Pcx+Cb6+HNMvzgwt0jO41Okg5t4nlqeAaWJGe02WVE28jCMclmYDPA+vXrFxuapFXooMVaVXnNhaRe6yhPzc3AcjbwWODI4RlYqmrfUmZgaeLdBmwD2LRpk2csJB1S2+mmJGnVcAYWSX3Sdpw1SZIzsEiaAos1SToIZ2CRNG0Wa6vI/NGwJUlS/1msaVk5fYokSYvjDQaSJEk9ZrEmSZLUYxZrkiRJPWaxJkmS1GMWa5IkST1msSZJktRjFmuSJEk9ZrEmSZLUYxZrkiRJPWaxJkmS1GMWa5IkST1msSZJktRjFmuSJEk91lmxluSkJH+e5NYkNyd5TdN+TJIrktzePB89tM8lSXYnuS3Ji7qKTZIkaaXo8sjaQ8CvVdWPAqcDFyc5BdgCXFVVG4Grmtc06y4Ang6cBbwzyZoO45MkSeq9w7p646raB+xrlu9PcitwAnAecEaz2XbgC8DrmvbLq+oB4I4ku4HTgC92FaMkSW1t2PLpaYegVWpZrllLsgF4NnANcHxTyM0VdMc1m50A3DW0296mbf57bU6yK8mu/fv3dxq3JEnStHVerCV5PPBR4LVVdd/BNh3RVgc0VG2rqk1VtWnt2rWTClOSJKmXOi3WkjyKQaH2war6WNN8T5J1zfp1wL1N+17gpKHdTwTu7jI+SRrFG6Qk9Uln16wlCfBe4NaqesvQqp3AhcDW5vmTQ+0fSvIW4InARuDaruJbDby+QlqyuRukrk/yBOC6JFcA/zeDG6S2JtnC4Aap1827QeqJwJVJnlJVD08pfkkzpMsja88Dfg54QZIbmsfZDIq0Fya5HXhh85qquhnYAdwC/BlwsYlO0jRU1b6qur5Zvh8YvkFqe7PZduD8Zvn7N0hV1R3A3A1SkjS2Lu8G/StGX4cGcOYC+1wKXNpVTOqfUUf/9mw9ZwqRSKMd7AapJMM3SF09tNvIG6Sa99sMbAZYv359R1FrFpkvVy9nMJCkBUz6BinwJilJi2exJkkjeIOUpL6wWJOkeVrcIAUH3iB1QZLHJDkZb5CSNEGdXbMmSSvY3A1SNya5oWl7PYMbonYkuQi4E3gpDG6QSjJ3g9RDeIOUpAmyWJOkebxBSlKfeBpUkiSpxyzWJEmSesxiTZIkqce8Zk2SpHmcrk99YrEmSdIK5awGq4PFmnrH5CNJ0g9YrM0ID9lLkjSbvMFAkiSpxyzWJEmSesxiTZIkqccs1iRJknrMYk2SJKnHLNYkSZJ6zKE7tCLMH5rEcdckTdIsDX9kvpw9HlmTJEnqMY+srVCz9C1QkiQtzGJtBbAwO5BTUklSO+bLlc/ToJIkST1msSZJktRjvTsNmuQs4O3AGuA9VbV1yiEtK095SivXas9fK4V51jtGV5peFWtJ1gC/D7wQ2At8KcnOqrplupFpJTD5aJrMX/1lcaaVrlfFGnAasLuqvg6Q5HLgPGAmkp0XeS6vtgnaz0ATMtP5q4/MqZNjvuy3vhVrJwB3Db3eC/zLKcWyoEl+S/Mb3/R1+RnMT2z+5zLTVkT+WimW+ndpTu3WpH6/5r3F6VuxlhFt9YgNks3A5ublPyW5rfOoluZY4G+nHUSH7F8LefNktunASv78fmTaASzgkPkLOsthffs8jefg+hYPLHNMLfJe335Hk4pnSfmrb8XaXuCkodcnAncPb1BV24BtyxnUUiTZVVWbph1HV+zfyjbr/ZuSQ+Yv6CaH9e3zNJ6D61s80L+YjOeR+jZ0x5eAjUlOTvJo4AJg55RjkqQ2zF+SOtGrI2tV9VCSXwY+x+DW9/dV1c1TDkuSDsn8JakrvSrWAKrqM8Bnph3HBPT+VO2Y7N/KNuv9m4op5q++fZ7Gc3B9iwf6F5PxDEnVAde/SpIkqSf6ds2aJEmShlisjSHJMUmuSHJ783z0AtudleS2JLuTbBlq/50kX0vy1SQfT3LUsgW/gIViHVqfJO9o1n81yalt9+2DpfYvyUlJ/jzJrUluTvKa5Y/+0Mb5/Jr1a5J8Ocmnli9qtTFuvmnW/Uqz7uYkvz3teJr1v56kkhw7zXgmlY/7lkP7lvP6lqPG/LyOSvKR5t/NrUn+1SRiGqmqfCzxAfw2sKVZ3gK8ecQ2a4C/Bp4EPBr4CnBKs+6ngMOa5TeP2n+Z+7NgrEPbnA18lsGYUqcD17Tdd9qPMfu3Dji1WX4C8H9mqX9D638V+BDwqWn3x8cBn++4+eb5wJXAY5rXx00znmb9SQxuyPgGcOyUfz9j5+O+5dC+5by+5ahx4wG2A7/QLD8aOGrcmBZ6eGRtPOcx+LBons8fsc33p6CpqgeBuSloqKrPV9VDzXZXMxiXaZoWjHXIecBlNXA1cFSSdS33nbYl96+q9lXV9QBVdT9wK4MR6/tknM+PJCcC5wDvWc6g1dpY+QZ4FbC1qh4AqKp7pxwPwFuB32DE4MHLHc+E8nHfcmjfcl7fctSS40lyJPATwHsBqurBqvqHCcV1AIu18RxfVfsAmufjRmwzagqaUf/gf55B9T5NbWJdaJu2/Zymcfr3fUk2AM8Grpl8iGMZt39vY/Af5/c6ik/jGTffPAX4N0muSfIXSZ47zXiSnAt8s6q+MmYcE4lnnqXm477l0L7lvL7lqHHieRKwH/ij5rTse5I8bkJxHaB3Q3f0TZIrgR8eseoNbd9iRNv8KbTeADwEfHBx0U1cm+lyFtqm1VQ7UzZO/wYrk8cDHwVeW1X3TTC2SVhy/5K8GLi3qq5LcsakA1M7Heebw4CjGZzKeS6wI8mTqjmHs5zxJDmieY+favk+ncYz72eMk4/7lkP7lvP6lqPG+f0cBpwK/EpVXZPk7QxOv/8/E4rtESzWDqGqfnKhdUnumTtc3BymHXVa4aBT0CS5EHgxcObBkuYyaTNdzkLbPLrFvtM2Tv9I8igGSeuDVfWxDuNcqnH69x+Bc5OcDTwWODLJB6rqZR3Gq3k6zjd7gY81eebaJN9jMN/h/inE82TgZOArSebar09yWlX9zRTimXuPcfNx33Jo33Je33LUOPEUsLeq5o42foRBsdaNSVz4tlofwO/wyAtaf3vENocBX2eQmOYuYHx6s+4s4BZg7bT7cqhYh7Y5h0debHlt232n/RizfwEuA9427X500b9525yBNxj07jGBfPNK4L83y09hcGon04pn3nZ7GP8Gg6nn477l0L7lvL7lqHHjAf4/4KnN8puA35nU7+qAWLt649XwAP4FcBVwe/N8TNP+ROAzQ9udzeBOmr8G3jDUvrtJmDc0jz/oQZ8OiJVBkn9lsxzg95v1NwKbDtXPPj2W2j/gxxl8k/rq0Od19rT7M8nPb+g9JpIIfUz8sx033zwa+ABwE3A98IJpxjPvvfYwfrHWi3zctxzat5zXtxw15uf1LGBX8zv6BHD0JGIa9XAGA0mSpB7zblBJkqQes1iTJEnqMYs1SZKkHrNYkyRJ6jGLNUmSpB6zWJMkSeoxizVJkqQes1iTJEnqMYs1SZKkHrNYkyRJ6jGLNUmSpB6zWJMkSeoxizVJkqQes1iTJEnqMYs1SZKkHrNYkyRJ6jGLNUmSpB47bNoBjOPYY4+tDRs2TDsMScvouuuu+9uqWjvtOCbBHCatLkvNXyu6WNuwYQO7du2adhiSllGSb0w7hkkxh0mry1Lzl6dBJUmSesxiTZIkqccs1iRJknrMYk2SJKnHLNYkSZJ6zGJNkiSpx1b00B1avTZs+fQBbXu2njOFSCRJB2O+Hp9H1iStWknel+TeJDcNtb0pyTeT3NA8zh5ad0mS3UluS/KiofbnJLmxWfeOJFnuvkiaXRZrklazPwbOGtH+1qp6VvP4DECSU4ALgKc3+7wzyZpm+3cBm4GNzWPUe0rSknRarCX5r0luTnJTkj9J8tgkxyS5IsntzfPRQ9uP/NYqSV2oqr8E/q7l5ucBl1fVA1V1B7AbOC3JOuDIqvpiVRVwGXB+JwFLWpU6K9aSnAC8GthUVc8A1jD4VroFuKqqNgJXNa8P9a1VkpbTLyf5anOadO4L5QnAXUPb7G3aTmiW57dL0kR0fRr0MODwJIcBRwB3M/h2ur1Zv50ffAMd+a214/gkab53AU8GngXsA36vaR91HVodpH2kJJuT7Eqya//+/WOGKmk16KxYq6pvAr8L3Mkg4f1jVX0eOL6q9jXb7AOOa3ZZ6FvrI5joJHWpqu6pqoer6nvAu/nBl8a9wElDm57I4Avo3mZ5fvtC77+tqjZV1aa1a9dONnhJM6nL06BHMzhadjLwROBxSV52sF1GtB3w7dREJ6lLzTVoc14CzN0puhO4IMljkpzM4EaCa5svnfcnOb25C/TlwCeXNWhJM63LcdZ+ErijqvYDJPkY8K+Be5Ksq6p9TVK8t9l+oW+t0shxeqRxJfkT4Azg2CR7gTcCZyR5FoMvi3uAXwKoqpuT7ABuAR4CLq6qh5u3ehWDO0sPBz7bPCRpIros1u4ETk9yBPAd4ExgF/Bt4EJga/M89w10J/ChJG9hcCRuI3Bth/FJWuWq6mdHNL/3INtfClw6on0X8IwJhiZJ39dZsVZV1yT5CHA9g2+hXwa2AY8HdiS5iEFB99Jm+4N9a5UkSVqVOp1uqqreyOC0wrAHGBxlG7X9yG+tkiRJq5Vzg0qSpInxGuPJc7opSZKkHrNYkyRJ6jGLNUmSpB6zWJMkSeoxizVJkqQes1iTJEnqMYs1SZKkHrNYkyRJ6jGLNUmSpB6zWJMkSeoxizVJkqQes1iTJEnqMYs1SZKkHrNYkyRJ6jGLNUmrVpL3Jbk3yU1Dbb+T5GtJvprk40mOato3JPlOkhuaxx8M7fOcJDcm2Z3kHUkyhe5ImlEWa5JWsz8GzprXdgXwjKr6MeD/AJcMrfvrqnpW83jlUPu7gM3AxuYx/z0lackOm3YA0nwbtnx62iFolaiqv0yyYV7b54deXg38x4O9R5J1wJFV9cXm9WXA+cBnJxqspFXLI2uStLCf55FF18lJvpzkL5L8m6btBGDv0DZ7m7aRkmxOsivJrv37908+Ykkzx2JNkkZI8gbgIeCDTdM+YH1VPRv4VeBDSY4ERl2fVgu9b1Vtq6pNVbVp7dq1kw5b0gzyNKgkzZPkQuDFwJlVVQBV9QDwQLN8XZK/Bp7C4EjaiUO7nwjcvbwRS5plHlmTpCFJzgJeB5xbVf881L42yZpm+UkMbiT4elXtA+5PcnpzF+jLgU9OIXRJM8oja5JWrSR/ApwBHJtkL/BGBnd/Pga4ohmB4+rmzs+fAP57koeAh4FXVtXfNW/1KgZ3lh7O4Bo3by6QNDEWa5JWrar62RHN711g248CH11g3S7gGRMMTZK+z9OgkiRJPWaxJkmS1GMWa5IkST1msSZJktRjnRZrSY5K8pFmUuRbk/yrJMckuSLJ7c3z0UPbX9JMhHxbkhd1GZskSdJK0PWRtbcDf1ZVTwOeCdwKbAGuqqqNwFXNa5KcAlwAPJ3BJMjvnBvTSJIkabXqrFhrpmH5CZrb4Kvqwar6B+A8YHuz2XYGEx7TtF9eVQ9U1R3AbuC0ruKTJElaCbo8svYkYD/wR83Ex+9J8jjg+GbEb5rn45rtTwDuGtr/oJMhS5IkrQZdFmuHAacC72omPv42zSnPBbSaDDnJ5iS7kuzav3//ZCKVJEnqqS5nMNgL7K2qa5rXH2FQrN2TZF1V7UuyDrh3aPuThvYfORlyVW0DtgFs2rTpgGJOq9eGLZ9+xOs9W8+ZUiSSJE1OZ0fWqupvgLuSPLVpOhO4BdgJXNi0XcgPJjzeCVyQ5DFJTmYwSfK1XcUnSZK0EnQ9N+ivAB9M8mjg68ArGBSIO5JcBNwJvBSgqm5OsoNBQfcQcHFVPdxxfJIkSb3WabFWVTcAm0asOnOB7S8FLu0yJkmSpJXEGQwkSZJ6zGJNkiSpx1oVa0me0XUgkjQO85SkWdX2yNofJLk2yX9JclSXAUnSEi06TyV5X5J7k9w01Lbo+YuTPCfJjc26dyQZNW6kJC1Jq2Ktqn4c+M8MxkHbleRDSV7YaWSStAhLzFN/zGAu4mFLmb/4XcBmBkMObRzxnpK0ZK2vWauq24HfBF4H/FvgHUm+luTfdxWcJC3GYvNUVf0l8Hfzmhc1f3EzuPeRVfXFqirgsqF9JGlsba9Z+7EkbwVuBV4A/HRV/Wiz/NYO45OkViaYpxY7f/EJzfL8dkmaiLbjrP1P4N3A66vqO3ONVXV3kt/sJDJJWpyu89RC8xe3mtf4+2+SbGZwypT169dPICxJs65tsXY28J25GQWS/BDw2Kr656p6f2fRSVJ7k8pTi52/eG+zPL99JOc3lrRYba9ZuxI4fOj1EU2bJPXFpPLUouYvbk6V3p/k9OYu0JcP7SNJY2t7ZO2xVfVPcy+q6p+SHNFRTJK0FIvOU0n+BDgDODbJXuCNwFYWP3/xqxjcWXo48NnmIUkT0bZY+3aSU6vqehiMKQR85xD7SNJyWnSeqqqfXWDVouYvrqpdgIPySupE22LttcCHk8xdh7EO+E+dRCRJS/NazFOSZlCrYq2qvpTkacBTGdz59LWq+m6nkUnSIpinJM2qtkfWAJ4LbGj2eXYSquqyTqKSpKUxT0maOa2KtSTvB54M3ADMXVA7N1K3JE2deUrSrGp7ZG0TcEozlYok9ZF5StJMajvO2k3AD3cZiCSNyTwlaSa1PbJ2LHBLkmuBB+Yaq+rcTqKSpMUzT0maSW2LtTd1GYQkTcCbph2AJHWh7dAdf5HkR4CNVXVlMyr4mm5Dk6T2zFPSyrFhy6cPaNuz9ZwpRLIytLpmLckvAh8B/rBpOgH4REcxSdKimackzaq2NxhcDDwPuA+gqm4HjusqKElaAvOUpJnUtlh7oKoenHuR5DAG4xdJUl+YpyTNpLbF2l8keT1weJIXAh8G/ld3YUnSopmnJM2ktneDbgEuAm4Efgn4DPCeroLS6jHqIlNpicxTkmZS27tBvwe8u3lIUu+YpyTNqrZzg97BiGs/qupJE49ImhBvDV9dzFOSZtVi5gad81jgpcAxkw9HkpbMPCVpJrW6waCqvjX0+GZVvQ14QZt9k6xJ8uUkn2peH5PkiiS3N89HD217SZLdSW5L8qKldEjS6jROnpovyVOT3DD0uC/Ja5O8Kck3h9rPHtrH/CWpE21Pg5469PKHGHyDfULLn/Ea4FbgyOb1FuCqqtqaZEvz+nVJTgEuAJ4OPBG4MslTqurhlj9H0io2Zp56hKq6DXhW875rgG8CHwdeAby1qn533s82f0nqTNvToL83tPwQsAf4mUPtlORE4BzgUuBXm+bzgDOa5e3AF4DXNe2XV9UDwB1JdgOnAV9sGaOk1W1JeaqFM4G/rqpvJFloG/OXpM60vRv0+Ut8/7cBv8Ejv90eX1X7mvfdl2RuhPETgKuHttvbtEnSIY2Rpw7lAuBPhl7/cpKXA7uAX6uqv2cR+SvJZmAzwPr16zsJWNJsaXsa9FcPtr6q3jJinxcD91bVdUnOaPNjRr31iPc10Uk6wFLyVIv3fDRwLnBJ0/Qu4LcY5KbfYnA07+dpmb+aOLYB2wA2bdrkDAuSDmkxd4M+F9jZvP5p4C+Buw6yz/OAc5sLcB8LHJnkA8A9SdY1R9XWAfc22+8FThra/0Tg7vlvaqKTtICl5KlD+XfA9VV1D8DcM0CSdwOfal62yl+StBRti7VjgVOr6n6AJG8CPlxVv7DQDlV1Cc230ebI2q9X1cuS/A5wIbC1ef5ks8tO4ENJ3sLgAt2NwLWL7I+k1WvReaqFn2XoFOjcF83m5UuAm5pl85ekzrQt1tYDDw69fhDYsMSfuRXYkeQi4E4GYyFRVTcn2QHcwuDi4Iu9k0rSIkwyT5HkCOCFDKaumvPbSZ7F4BTnnrl15i9JXWpbrL0fuDbJxxkkqZcAl7X9IVX1BQZ3fVJV32Jwd9Wo7S5lcOeoJC3WWHlqvqr6Z+BfzGv7uYNsb/6S1Im2d4NemuSzwL9pml5RVV/uLixJWhzzlKRZ1fbIGsARwH1V9UdJ1iY5uaru6CowSVoC85S0jEbNwazJazXdVJI3Mhi4du729UcBH+gqKElaLPOUpFnVqlhjcO3HucC3AarqbpY4jYskdcQ8JWkmtS3WHqyqohnkMcnjugtJkpbEPCVpJrUt1nYk+UPgqCS/CFwJvLu7sCRp0cxTkmbSIW8wyGDm4j8FngbcBzwV+G9VdUXHsUlSK+YpSbPskMVaVVWST1TVcwATn6TeMU9JmmVtT4NeneS5nUYiSeMxT0maSW3HWXs+8MokexjcaRUGX2Z/rKvAJGmRzFOSZtJBi7Uk66vqTuDfLVM8krQo5ilJs+5QR9Y+AZxaVd9I8tGq+g/LEJMkLcYnME9JmmGHumYtQ8tP6jIQSVoi85SkmXaoYq0WWJakvjBPSZpphzoN+swk9zH45np4sww/uHD3yE6j08xx0l91wDwlaaYdtFirqjXLFYgkLYV5StKsazvOmiStKkn2JLkxyQ1JdjVtxyS5IsntzfPRQ9tfkmR3ktuSvGh6kUuaNW3HWZNmwqjTsHu2njOFSLRCPL+q/nbo9RbgqqrammRL8/p1SU4BLgCeDjwRuDLJU6rq4eUPWdKs8ciaJLV3HrC9Wd4OnD/UfnlVPVBVdwC7gdOWPzxJs8hiTZJGK+DzSa5LsrlpO76q9gE0z8c17ScAdw3tu7dpO0CSzUl2Jdm1f//+jkKXNEs8DSpJoz2vqu5OchxwRZKvHWTbjGgbOYxIVW0DtgFs2rTJoUYkHZJH1iRphKq6u3m+F/g4g9Oa9yRZB9A839tsvhc4aWj3E4G7ly9aSbPMYk2S5knyuCRPmFsGfgq4CdgJXNhsdiHwyWZ5J3BBksckORnYCFy7vFFLmlWeBpWkAx0PfDwJDPLkh6rqz5J8CdiR5CLgTuClAFV1c5IdwC3AQ8DF3gkqaVIs1iRpnqr6OvDMEe3fAs5cYJ9LgUs7Dk3SKuRpUEmSpB6zWJMkSeoxizVJkqQes1iTJEnqsc6KtSQnJfnzJLcmuTnJa5p2J0KWJElqqcsjaw8Bv1ZVPwqcDlzcTHY8NxHyRuCq5jXzJkI+C3hnkjUdxidJktR7nQ3d0cybNzeH3v1JbmUwV955wBnNZtuBLwCvY2giZOCOJHMTIX+xqxglSVI/bNjy6Ue83rP1nClF0j/Lcs1akg3As4FrGHMiZCdBliRJq0nnxVqSxwMfBV5bVfcdbNMRbQdMclxV26pqU1VtWrt27aTClCRJ6qVOZzBI8igGhdoHq+pjTfM9SdZV1T4nQlYfeOhdktRnXd4NGuC9wK1V9ZahVU6ELEmS1FKXR9aeB/wccGOSG5q21wNbcSLkVWH+EStJkrR4Xd4N+leMvg4NnAhZkiSpFWcwkCRJ6jGLNUmSpB7r9G5QSZI0O7wWeTo8siZJ8xxkbuM3Jflmkhuax9lD+zi3saROeGRNkg40N7fx9UmeAFyX5Ipm3Vur6neHN543t/ETgSuTPMU72iVNgkfWJGmeqtpXVdc3y/cDc3MbL+T7cxtX1R3A3NzGkjQ2izVJOoh5cxsD/HKSryZ5X5Kjm7ZWcxtL0lJYrEnSAkbMbfwu4MnAs4B9wO/NbTpi9wPmNm7ec3OSXUl27d+/f/JBS5o5FmuSNMKouY2r6p6qeriqvge8mx+c6mw9t3FVbauqTVW1ae3atd11QNLM8AYDaZ5Rt6Y7ufvqstDcxknWVdW+5uVLgJua5Z3Ah5K8hcENBs5tLGliLNYk6UALzW38s0mexeAU5x7gl8C5jSV1y2JNE+FAiZolB5nb+DMH2ce5jSV1wmvWJEmSesxiTZIkqccs1iRJknrMYk2SJKnHLNYkSZJ6zLtBJUlS7zjm5Q9YrEktzE8aqzVhSJKWn8WalsRx1SRJWh5esyZJktRjFmuSJEk9ZrEmSZLUY16zJkmSDuC1yf1hsaZD8g9WkqTpsViTlsDxfyRJy8Vr1iRJknrMI2s6gKc9l8ajbZJWqpWS91drnrVYW+VWyh/oSuXMB5KkcfWuWEtyFvB2YA3wnqraOuWQpIlZrd8KVwvzl6Qu9KpYS7IG+H3ghcBe4EtJdlbVLdONbDZ4FK2fPPo2G8xfWklm6f+D1ZBDe1WsAacBu6vq6wBJLgfOA0x2SzBLf4yriUffVizzl6RO9K1YOwG4a+j1XuBfDm+QZDOwuXn5T0luW4a4jgX+dhl+znKYlb7MSj+gRV/y5mWKZHzL8bn8SMfvv1SHzF8wMod9i9n5t7wYs/Q3vBj2u2M9y5fz+72k/NW3Yi0j2uoRL6q2AduWJ5yBJLuqatNy/syuzEpfZqUfYF9myCHzFxyYw1br78x+ry72ezx9G2dtL3DS0OsTgbunFIskLYb5S1In+lasfQnYmOTkJI8GLgB2TjkmSWrD/CWpE706DVpVDyX5ZeBzDG59f19V3TzlsGCZT7t2bFb6Miv9APsyE8bIX6v1d2a/Vxf7PYZUHXBJhSRJknqib6dBJUmSNMRiTZIkqccs1hpJjklyRZLbm+ejF9jurCS3JdmdZMuI9b+epJIc233UI+Mbqx9JfifJ15J8NcnHkxy1bMEfIrah9Unyjmb9V5Oc2nbf5bbUviQ5KcmfJ7k1yc1JXrP80T8iziV/Js36NUm+nORTyxd1fyzi7/J9Se5NctO89jcl+WaSG5rH2csT+Xgm0O9W+/fNBPLwivq8ZylntzVmn/ckubH5bHe1+oFV5WNw3d5vA1ua5S3Am0dsswb4a+BJwKOBrwCnDK0/icHFxd8Ajl2J/QB+CjisWX7zqP07jv+gv+Nmm7OBzzIY1+p04Jq2+66gvqwDTm2WnwD8n2n1ZZx+DK3/VeBDwKem9XlM89Hm77JZ9xPAqcBN89rfBPz6tPsxhX632r9vjwnk4RXzec9Szl6OPjfr9rDIGsEjaz9wHrC9Wd4OnD9im+9PJ1NVDwJz08nMeSvwG4wYCHMZjdWPqvp8VT3UbHc1g7GiltOhfsc0ry+rgauBo5Ksa7nvclpyX6pqX1VdD1BV9wO3MhghfxrG+UxIciJwDvCe5Qy6Z9r8XVJVfwn83TLFtBzG7Xer/XtoEv+frBSzlLPbGisnLoXF2g8cX1X7AJrn40ZsM2o6mRMAkpwLfLOqvtJ1oIcwVj/m+XkG3wyWU5vYFtqmbb+Wyzh9+b4kG4BnA9dMPsRWxu3H2xh8ifleR/GtBG3+Lg/ll5vTKe9bKacDGb/fk/i9TcMk8vBK+bxnKWe3NW5OLODzSa7LYPq5Q+rVOGtdS3Il8MMjVr2h7VuMaKskRzTv8VNLjW0xuurHvJ/xBuAh4IOLi25sbabsWWibVtP9LKNx+jJYmTwe+Cjw2qq6b4KxLcaS+5HkxcC9VXVdkjMmHVifTODv8mDeBfwWg9/7bwG/x+DL1NR13O/e6jgP9/bzHmGWcnZb4+b251XV3UmOA65I8rXm6PKCVlWxVlU/udC6JPfMnX5qDlXeO2KzhaaTeTJwMvCVJHPt1yc5rar+ZmIdaHTYj7n3uBB4MXBmNSfYl1GbKXsW2ubRLfZdTuP0hSSPYlCofbCqPtZhnIcyTj/+I3Buc4H0Y4Ejk3ygql7WYbxTMYG/y4O99z1D7/VuoDc3anTZb2Dc/TvTZR7u8+c9wizl7LbGyu1VNfd8b5KPMzitetBizdOgP7ATuLBZvhD45IhtRk4nU1U3VtVxVbWhqjYw+JBO7aJQa2HJ/YDBHS7A64Bzq+qflyHe1rEN2Qm8vLnb5nTgH5tTDX2b7mfJfcmg6n8vcGtVvWV5wz7AkvtRVZdU1YnN38UFwP+exUKthTZ/lwuad63LS4CbFtq2Z8bq9wT2n5Zx8/BK+rxnKWe3NU5uf1ySJwAkeRyDM3KH/nwXczfCLD+AfwFcBdzePB/TtD8R+MzQdmczuDPvr4E3LPBee5je3aBj9QPYzeA8+w3N4w+m0IcDYgNeCbyyWQ7w+836G4FNi/l8VkJfgB9ncMj8q0OfxdkrrR/z3uMMVu/doG3/Lv8E2Ad8l8GXvoua9vc3v9evMvhPYN20+7RM/R65f98fE8jDK+rznqWc3XWfGdxB+pXmcXPbPjvdlCRJUo95GlSSJKnHLNYkSZJ6zGJNkiSpxyzWJEmSesxiTZIkqccs1iRJknrMYk2SJKnHLNYkSZJ6zGJNkiSpxyzWJEmSesxiTZIkqccs1iRJknrMYk2SJKnHLNYkSZJ6zGJNkiSpxyzWJEmSeuywaQcwjmOPPbY2bNgw7TAkLaPrrrvub6tq7bTjmARzmLS6LDV/rehibcOGDezatWvaYUhaRkm+Me0YJsUcJq0uS81fngaVJEnqMYs1SZKkHrNYkyRJ6jGLNUmSpB6zWJMkSeoxizVJkqQeW9FDd2j12rDl0we07dl6zhQikaQfMDepCx5ZkyRJ6jGLNUmSpB6zWJMkSeoxizVJkqQes1iTJEnqMYs1SZKkHut06I4k/xX4BaCAG4FXAEcAfwpsAPYAP1NVf99sfwlwEfAw8Oqq+lyX8WnlGHU7vCRJq0FnR9aSnAC8GthUVc8A1gAXAFuAq6pqI3BV85okpzTrnw6cBbwzyZqu4pMkSVoJuj4NehhweJLDGBxRuxs4D9jerN8OnN8snwdcXlUPVNUdwG7gtI7jkyRJ6rXOirWq+ibwu8CdwD7gH6vq88DxVbWv2WYfcFyzywnAXUNvsbdpkyRJWrW6PA16NIOjZScDTwQel+RlB9tlRFuNeN/NSXYl2bV///7JBCtpVUry2CTXJvlKkpuT/P+a9mOSXJHk9ub56KF9LkmyO8ltSV401P6cJDc2696RZFROk6RF6/I06E8Cd1TV/qr6LvAx4F8D9yRZB9A839tsvxc4aWj/ExmcNn2EqtpWVZuqatPatWs7DF/SKvAA8IKqeibwLOCsJKeztGtr3wVsBjY2j7OWsR+SZliXxdqdwOlJjmi+YZ4J3ArsBC5strkQ+GSzvBO4IMljkpzMINld22F8kla5Gvin5uWjmkexyGtrmy+eR1bVF6uqgMuG9pGksXQ2dEdVXZPkI8D1wEPAl4FtwOOBHUkuYlDQvbTZ/uYkO4Bbmu0vrqqHu4pPkgCaI2PXAf8X8PtN7nrEtbVJhq+tvXpo97lra7/bLM9vl6SxdTrOWlW9EXjjvOYHGBxlG7X9pcClXcYkScOaL4XPSnIU8PEkzzjI5gtdW9vqmlsYXHfL4HQp69evX1ywklYlZzCQJKCq/gH4AoNrzRZ7be3eZnl++6if43W3khbFYk3SqpVkbXNEjSSHM7gx6mss8tra5pTp/UlOb67RffnQPpI0lk5Pg0pSz60DtjfXrf0QsKOqPpXkiyz+2tpXAX8MHA58tnlI0tgs1iStWlX1VeDZI9q/xSKvra2qXcDBrneTpCXxNKgkSVKPWaxJkiT1mMWaJElSj1msSZIk9ZjFmiRJUo9ZrEmSJPWYxZokSVKPWaxJkiT1mMWaJElSj1msSZIk9ZjFmiRJUo9ZrEmSJPWYxZokSVKPHTbtAKRJ2bDl0494vWfrOVOKRJKkyfHImiRJUo95ZE29M/8ImdSVJCcBlwE/DHwP2FZVb0/yJuAXgf3Npq+vqs80+1wCXAQ8DLy6qj7XtD8H+GPgcOAzwGuqqpavN5JmlcWapNXsIeDXqur6JE8ArktyRbPurVX1u8MbJzkFuAB4OvBE4MokT6mqh4F3AZuBqxkUa2cBn12mfkiaYZ4GlbRqVdW+qrq+Wb4fuBU44SC7nAdcXlUPVNUdwG7gtCTrgCOr6ovN0bTLgPO7jV7SamGxJklAkg3As4FrmqZfTvLVJO9LcnTTdgJw19Bue5u2E5rl+e2SNDaLNUmrXpLHAx8FXltV9zE4pflk4FnAPuD35jYdsXsdpH3Uz9qcZFeSXfv37x+1iSQ9gsWapFUtyaMYFGofrKqPAVTVPVX1cFV9D3g3cFqz+V7gpKHdTwTubtpPHNF+gKraVlWbqmrT2rVrJ9sZSTPJYk3SqpUkwHuBW6vqLUPt64Y2ewlwU7O8E7ggyWOSnAxsBK6tqn3A/UlOb97z5cAnl6UTkmaed4NKWs2eB/wccGOSG5q21wM/m+RZDE5l7gF+CaCqbk6yA7iFwZ2kFzd3ggK8ih8M3fFZvBNU0oRYrElatarqrxh9vdlnDrLPpcClI9p3Ac+YXHSSNNDpadAkRyX5SJKvJbk1yb9KckySK5Lc3jwfPbT9JUl2J7ktyYu6jE2SJGkl6PqatbcDf1ZVTwOeyWAMoy3AVVW1EbiqeT1/sMmzgHcmWdNxfJIkSb3WWbGW5EjgJxhcvEtVPVhV/8BgUMntzWbb+cHAkSMHm+wqPkmSpJWgyyNrT2Iwr94fJflykvckeRxwfHPnFM3zcc32Cw02+QiOUSRJklaTLou1w4BTgXdV1bOBb9Oc8lxAq0ElHaNIkiStJl0Wa3uBvVU1N3XLRxgUb/fMjWHUPN87tP2owSYlSZJWrc6Ktar6G+CuJE9tms5kMDbRTuDCpu1CfjBw5MjBJruKT5IkaSVoNc5akmdU1U2H3vIAvwJ8MMmjga8Dr2BQIO5IchFwJ/BSOORgk5J0UGPkKUnqtbaD4v5BU3D9MfCh5q7OQ6qqG4BNI1aducD2IweblKQWlpSnJKnvWp0GraofB/4zg2vKdiX5UJIXdhqZJC2CeUrSrGp9zVpV3Q78JvA64N8C72hmJvj3XQUnSYthnpI0i1oVa0l+LMlbGcxA8ALgp6vqR5vlt3YYnyS1Yp6SNKvaXrP2P4F3A6+vqu/MNVbV3Ul+s5PIJGlxzFOSZlLbYu1s4Dtzd2cm+SHgsVX1z1X1/s6ik6T2zFOSZlLba9auBA4fen1E0yZJfWGekjST2hZrj62qf5p70Swf0U1IkrQki85TSU5K8udJbk1yc5LXNO3HJLkiye3N89FD+1ySZHeS25K8aKj9OUlubNa9I8moKfQkadHaFmvfTnLq3IskzwG+c5DtJWm5LSVPPQT8WnMjwunAxUlOYTCP8VVVtRG4qnlNs+4C4OnAWcA7k6xp3utdwGYGs69sbNZL0tjaXrP2WuDDSebm6lwH/KdOIpKkpXkti8xTVbUP2Ncs35/kVuAE4DzgjGaz7cAXGAwHch5weVU9ANyRZDdwWpI9wJFV9UWAJJcB5wOfnUzXJK1mrYq1qvpSkqcBTwUCfK2qvttpZJK0COPmqSQbgGcD1wDHN4UcVbUvyXHNZicAVw/ttrdp+26zPL991M/ZzOAIHOvXr28bnqRVrO2RNYDnAhuafZ6dhKq6rJOoJGlplpSnkjwe+Cjw2qq67yCXm41aUQdpP7CxahuwDWDTpk0jt5GkYW0ncn8/8GTgBmBucvUCLNYk9cJS81SSRzEo1D5YVR9rmu9Jsq45qrYOuLdp38tgOqs5JwJ3N+0njmiXpLG1PbK2CTilqvwWKKmvFp2nmjs23wvcWlVvGVq1E7gQ2No8f3Ko/UNJ3gI8kcGNBNdW1cNJ7k9yOoPTqC8H/t9xOyRJ0L5Yuwn4YZoLcSWph5aSp54H/BxwY5IbmrbXMyjSdiS5CLgTeClAVd2cZAdwC4M7SS+eG4QXeBXwxwzGevss3lwgaULaFmvHArckuRZ4YK6xqs7tJCpJWrxF56mq+itGX28GcOYC+1wKXDqifRfwjMUELElttC3W3tRlEJI0AW+adgCS1IW2Q3f8RZIfATZW1ZVJjgDWHGo/aZo2bPn0AW17tp4zhUi0HMxTkmZVqxkMkvwi8BHgD5umE4BPdBSTJC2aeUrSrGo73dTFDC7EvQ+gqm4HjjvoHpK0vMxTkmZS22Ltgap6cO5FksNYYMBHSZoS85SkmdS2WPuLJK8HDk/yQuDDwP/qLixJWjTzlKSZ1LZY2wLsB24Efgn4DPCbXQUlSUtgnpI0k9reDfo94N3NQ5qYUXdsSkthnpI0q9rODXoHI679qKonTTwiSVoC85SkWbWYuUHnPJbB1CvHTD4cSVoy85SkmdTqmrWq+tbQ45tV9TbgBd2GJkntmackzaq2p0FPHXr5Qwy+wT6hk4gkaQnMU5JmVdvToL83tPwQsAf4mYlHI0lLZ56SNJPa3g36/KX+gCRrgF3AN6vqxUmOAf4U2ECTTKvq75ttLwEuAh4GXl1Vn1vqz5W0uoyTpySpz9qeBv3Vg62vqrccZPVrgFuBI5vXW4Crqmprki3N69clOQW4AHg68ETgyiRPqaqH28QoaXUbM09JUm+1HRR3E/AqBhMjnwC8EjiFwfUgC14TkuRE4BzgPUPN5wHbm+XtwPlD7ZdX1QNVdQewGzitZXyStOg8leR9Se5NctNQ25uSfDPJDc3j7KF1lyTZneS2JC8aan9Okhubde9Iko76KGkVanvN2rHAqVV1PwySGfDhqvqFQ+z3NuA3eGSiPL6q9gFU1b4kcxMtnwBcPbTd3qbtEZJsBjYDrF+/vmX4klaBpeSpPwb+J3DZvPa3VtXvDjcc4uj/uxjkpasZzJxwFvDZcTskSdD+yNp64MGh1w8yuOZsQUleDNxbVde1/BmjvomOGuByW1VtqqpNa9eubfnWklaBReepqvpL4O9avv/Io/9J1gFHVtUXq6oYFH7nLzJ2SVpQ2yNr7weuTfJxBgXUSzjwm+h8zwPObU4hPBY4MskHgHuSrGuOqq0D7m223wucNLT/icDdLeOTpKXkqYX8cpKXM7g56team6AWOvr/3WZ5fvtInh2QtFhtB8W9FHgF8PfAPwCvqKr/cYh9LqmqE6tqA4NTB/+7ql4G7AQubDa7EPhks7wTuCDJY5KcDGwErl1cdyStVkvJUwt4F/Bk4FnAPn4wJMhCR/9bnRUYitOzA5IWpe2RNYAjgPuq6o+SrE1ycnMqYLG2AjuSXATcyWBKGKrq5iQ7gFsYjJF0sXeCSlqksfNUVd0zt5zk3cCnmpcLHf3f2yzPb5ekiWh1ZC3JG4HXAZc0TY8CPtD2h1TVF6rqxc3yt6rqzKra2Dz/3dB2l1bVk6vqqVXlxbmSWhs3Tw29z7qhly8B5u4UHXn0v7lh6v4kpzd3gb6cH5wxkKSxtT2y9hLg2cD1AFV1dxKncZHUJ4vOU0n+BDgDODbJXuCNwBlJnsXgVOYe4Jea9zvY0f9XMbiz9HAGd4H6ZVPSxLQt1h6sqkpSAEke12FMkrQUi85TVfWzI5rfe5DtLwUuHdG+C3jGImKVpNbaDt2xI8kfAkcl+UXgSuDd3YUlSYtmnpI0kw55ZK25BuNPgacB9wFPBf5bVV3RcWyS1Ip5StIsO2Sx1pxW+ERVPQcw8UnqHfOUpFnW9jTo1Ume22kkkjQe85SkmdT2BoPnA69Msgf4NoNBIKuqfqyrwCRpkcxTkmbSQYu1JOur6k7g3y1TPJK0KOYpSbPuUEfWPgGcWlXfSPLRqvoPyxCTJC3GJzBPSZphh7pmbXjOuyd1GYgkLZF5StJMO9SRtVpgWVqRNmz59AFte7aeM4VINEHmKUkz7VDF2jOT3Mfgm+vhzTL84MLdIzuNTpIOzTwlaaYdtFirqjXLFYhWh1FHtqRxmKckzbq246xJkiRpCizWJEmSesxiTZIkqccs1iRJknrMYk3SqpXkfUnuTXLTUNsxSa5IcnvzfPTQukuS7E5yW5IXDbU/J8mNzbp3JMn8nyVJS2WxJmk1+2PgrHltW4CrqmojcFXzmiSnABcAT2/2eWeSuTtR3wVsBjY2j/nvKUlLZrEmadWqqr8E/m5e83nA9mZ5O3D+UPvlVfVAVd0B7AZOS7IOOLKqvlhVBVw2tI8kje1Qg+JK0mpzfFXtA6iqfUmOa9pPAK4e2m5v0/bdZnl++0hJNjM4Csf69esnGLamwbEjtRw8siZJ7Yy6Dq0O0j5SVW2rqk1VtWnt2rUTC07S7LJYk6RHuqc5tUnzfG/Tvhc4aWi7E4G7m/YTR7RL0kRYrEnSI+0ELmyWLwQ+OdR+QZLHJDmZwY0E1zanTO9PcnpzF+jLh/aRpLF5zZqkVSvJnwBnAMcm2Qu8EdgK7EhyEXAn8FKAqro5yQ7gFuAh4OKqerh5q1cxuLP0cOCzzUOSJsJiTdKqVVU/u8CqMxfY/lLg0hHtu4BnTDA0Sfo+T4NKkiT1WGfFWpKTkvx5kluT3JzkNU37okcHlyRJWq26PA36EPBrVXV9kicA1yW5Avi/GYwOvjXJFgajg79u3ujgTwSuTPKUoWtCpE7MHydpz9ZzphSJJEkH6uzIWlXtq6rrm+X7gVsZDBS5qNHBu4pPkiRpJViWa9aSbACeDVzDvNHBgeHRwe8a2u2go4BLkiStBp0Xa0keD3wUeG1V3XewTUe0HTAKeJLNSXYl2bV///5JhSlJktRLnRZrSR7FoFD7YFV9rGle7Ojgj+BULZIkaTXp7AaDZiTv9wK3VtVbhlbNjQ6+lQNHB/9QkrcwuMFgI3BtV/Gpe05wLEnS+Lq8G/R5wM8BNya5oWl7PUsbHVySJGlV6qxYq6q/YvR1aLDI0cElSZJWK2cwkCRJ6jHnBpUkqUOjrt918G0thkfWJEmSesxiTZIkqccs1iRphCR7ktyY5IYku5q2Y5JckeT25vnooe0vSbI7yW1JXjS9yCXNGq9Zk+bx+hINeX5V/e3Q6y3AVVW1NcmW5vXrkpwCXAA8ncE4kVcmeYrDD0maBI+sSVJ75wHbm+XtwPlD7ZdX1QNVdQewGzht+cOTNIs8sqaJcLYCzaACPp+kgD+sqm3A8VW1D6Cq9iU5rtn2BODqoX33Nm2SNDaLNUka7XlVdXdTkF2R5GsH2XbUAOA1csNkM7AZYP369eNHKWnmeRpUkkaoqrub53uBjzM4rXlPknUAzfO9zeZ7gZOGdj8RuHuB991WVZuqatPatWu7Cl/SDLFYk6R5kjwuyRPmloGfAm4CdgIXNptdCHyyWd4JXJDkMUlOBjYC1y5v1JJmladBJelAxwMfTwKDPPmhqvqzJF8CdiS5CLgTeClAVd2cZAdwC/AQcLF3gkqaFIs1SZqnqr4OPHNE+7eAMxfY51Lg0o5Dk7QKeRpUkiSpxyzWJEmSesxiTZIkqccs1iRJknrMGwy0JM5YIEnS8vDImiRJUo9ZrEmSJPWYp0GlFuaf9t2z9ZwpRSJJWm0s1iRJasFrdTUtFmuSJC0zj9ZrMSzWpCUY9Q3bZCtJ6oI3GEiSJPWYR9Z0SF6nIUnS9Fis6QAWZ0vjqVFJUhc8DSpJktRjvTuyluQs4O3AGuA9VbV1yiFJUivmr9mx3GcYPDKvg+lVsZZkDfD7wAuBvcCXkuysqlumG9ns8pTn8jIhzy7zl6Su9KpYA04DdlfV1wGSXA6cB5jslsBCbPrafAaOtzQzzF+aKHOD5vStWDsBuGvo9V7gX04plrG1+Y96Un98Fmazo+3Rt5WayFdq3C3MVP6aZSs1X3pkfvXqW7GWEW31iA2SzcDm5uU/Jbmt45iOBf62qzfPm7t655E67csym6W+wCH60+bfyTL/WzqYRX02S4j7Rxa9x/I4ZP6CJeewWfv3PmdW+wXL1Lcp/d3P6ue2HP1aUv7qW7G2Fzhp6PWJwN3DG1TVNmDbcgWUZFdVbVqun9cl+9Jfs9SfWerLIh0yf8HSctis/k5ntV9g31aiPverb0N3fAnYmOTkJI8GLgB2TjkmSWrD/CWpE706slZVDyX5ZeBzDG59f19V3TzlsCTpkMxfkrrSq2INoKo+A3xm2nEMWbZTrsvAvvTXLPVnlvqyKB3mr1n9nc5qv8C+rUS97VeqDrj+VZIkST3Rt2vWJEmSNMRiDUhyTJIrktzePB+9wHZnJbktye4kW0as//UkleTY7qMebdy+JPmdJF9L8tUkH09y1LIFf4jYhtYnyTua9V9NcmrbfZfbUvuS5KQkf57k1iQ3J3nN8kd/oHE+m2b9miRfTvKp5Yt6ZVjE3+77ktyb5Kal7L/cJpCT3pTkm0luaB5nL1/0o81Sjho2Zr/2JLmx+Yx2LW/kh9aib09L8sUkDyT59cXsuyyqatU/gN8GtjTLW4A3j9hmDfDXwJOARwNfAU4ZWn8SgwuLvwEcu1L7AvwUcFiz/OZR+3cc/0F/z802ZwOfZTCu1enANW33XUF9WQec2iw/Afg/0+zLuP0ZWv+rwIeAT02zL318tPnbbdb9BHAqcNNS9u9jvw6Rk94E/Pq0+9Em1qFtVkSOmlS/mnV7mOL/fRPo23HAc4FLh/+99eUz88jawHnA9mZ5O3D+iG2+P5VMVT0IzE0lM+etwG8wYhDMZTZWX6rq81X1ULPd1QzGilpOh/o907y+rAauBo5Ksq7lvstpyX2pqn1VdT1AVd0P3MpghPxpGuezIcmJwDnAe5Yz6BWkzd8uVfWXwN8tdf8pmER+7ZNZylHDxvr77rlD9q2q7q2qLwHfXey+y8FibeD4qtoH0DwfN2KbUVPJnACQ5Fzgm1X1la4DbWGsvszz8wy+RS2nNrEttE3bfi2XcfryfUk2AM8Grpl8iIsybn/exuALzfc6im+la/O32+X+XZlETvrl5rTb+3pweneWctSwcf++C/h8kusymKWjT8b5vffiM+vd0B1dSXIl8MMjVr2h7VuMaKskRzTv8VNLjW2xuurLvJ/xBuAh4IOLi25sbabsWWibVtP9LKNx+jJYmTwe+Cjw2qq6b4KxLcWS+5PkxcC9VXVdkjMmHdhKMYG/3V7qOCe9C/it5vVvAb/H4IvktMxSjho2br56XlXdneQ44IokX2uOAvfBOL/3Xnxmq6ZYq6qfXGhdknvmTj01h3TvHbHZQlPJPBk4GfhKkrn265OcVlV/M7EODOmwL3PvcSHwYuDMak7aL6M2U/YstM2jW+y7nMbpC0kexaBQ+2BVfazDONsapz//ETi3uTj8scCRST5QVS/rMN7emcDf7sGMu/+SdZmTquqeofd6NzDtm1NmKUcNGytfVdXc871JPs7g9GFfirVWU8F1sO/EeBp0YCdwYbN8IfDJEduMnEqmqm6squOqakNVbWDwwZ7aVaHWwpL7AoO7XoDXAedW1T8vQ7ytYxuyE3h5c2fS6cA/NqdX+jbdz5L7kkHl/17g1qp6y/KGvaAl96eqLqmqE5u/kQuA/73aCrUW2vztdrl/V8bNScPXRL0EuGnE/stplnLUsHHy1eOSPAEgyeMYnGma9uc0bJzfez8+sy7vXlgpD+BfAFcBtzfPxzTtTwQ+M7Td2Qzuyvtr4A0LvNcepns36Fh9AXYzOD9/Q/P4gyn04YDYgFcCr2yWA/x+s/5GYNNiPqOV0Bfgxxkcav/q0Gdx9krtz7z3OAPvBh31u237t/snwD4GF0LvBS462P7TfkwgJ72/+bf0VQb/Sa7rQZ9mJkdNol8M7pT8SvO4uW/9atm3H27+nu4D/qFZPrIvn5kzGEiSJPWYp0ElSZJ6zGJNkiSpxyzWJEmSesxiTZIkqccs1iRJknrMYk2SJKnHLNYkSZJ6zGJNkiSpx/7/f6ErYfNKyZkAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# function to get log of daily rate\n",
"def logarizer(dataset):\n",
" dataset[\"log_rate\"] = np.log(dataset.iloc[:,1]/dataset.iloc[:,1].shift()) # getting the log of the exchange rate\n",
" return dataset[\"log_rate\"]\n",
"\n",
"# function to get overall volatility\n",
"volatility_dict = {}\n",
"def volatizer(dataset):\n",
" column_headers = list(dataset.columns.values)\n",
" currency_name = column_headers[1]\n",
" volatility = dataset[\"log_rate\"].std()*253**.5 # volatility measured by standard deviation * 253 trading days per year\n",
" volatility = round(volatility, 4)*100\n",
" volatility_dict[currency_name] = volatility\n",
"\n",
"# it would be cool to convert or use xchange_list\n",
"# i didn't really think .replace would work\n",
"# currency_list = []\n",
"# for currency in xchange_list:\n",
"# currency = currency.replace(\"'\",\"\").lower()\n",
"# currency_list.append(currency)\n",
"# currency_list\n",
"# ['us_dollar',\n",
"# 'japanese_yen',\n",
"# 'uk_pound',\n",
"# 'australian_dollar',\n",
"# 'israeli_shekel',\n",
"# 'philippine_peso',\n",
"# 'malaysian_ringgit',\n",
"# 'romanian_leu']\n",
"\n",
"# calling logarizer on all eight currencies\n",
"c_list = [us_dollar, japanese_yen, uk_pound, australian_dollar,\n",
" israeli_shekel, philippine_peso, malaysian_ringgit, romanian_leu]\n",
"for currency in c_list:\n",
" logarizer(currency)\n",
" \n",
"# calling volatizer on all eight currencies\n",
"for currency in c_list:\n",
" volatizer(currency)\n",
"\n",
"# line graph showing log exchange rates of each currency\n",
"plt.figure(figsize=(10,14))\n",
"for i, currency in zip(range(1,9), c_list):\n",
" plt.subplot(4,2,i)\n",
" currency[\"log_rate\"].plot.hist(bins=50)\n",
"# plt.title(currency) # will get ValueError: The truth value of a DataFrame is ambiguous. Use a.empty, a.bool(), a.item(), a.any() or a.all().\n",
"plt.show()\n",
"\n",
"# plt.title(\"Romanian volatility: \" + str(romanian_leu[\"volatility\"]) + \"%\")"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"{'US_dollar': 9.66,\n",
" 'Japanese_yen': 11.74,\n",
" 'UK_pound': 8.110000000000001,\n",
" 'Australian_dollar': 10.56,\n",
" 'Israeli_shekel': 9.83,\n",
" 'Philippine_peso': 10.57,\n",
" 'Malaysian_ringgit': 9.47,\n",
" 'Romanian_leu': 8.16}"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"volatility_dict"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(249, 9)"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# import geopandas and other libraries\n",
"import geopandas as gpd\n",
"import seaborn as sns\n",
"import os\n",
"map_data = gpd.read_file(\"World_Countries__Generalized_.shp\")\n",
"map_data[\"Volatility\"] = None\n",
"map_data.head()\n",
"\n",
"map_data.shape\n",
"# map_data.plot(figsize=(15,13))\n",
"# map_data[map_data[\"COUNTRY\"] == \"United States\"].plot(color = \"green\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Volatility Continued\n",
"stuff\n",
"## Mapping\n",
"stuff"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Citations\n",
"1. Eichengreen, Barry (2019). Globalizing Capital: A History of the International Monetary System (3rd ed.). Princeton University Press. pp. 7, 79. ISBN 978-0-691-19390-8. JSTOR j.ctvd58rxg.\n",
"2. https://en.wikipedia.org/wiki/Bretton_Woods_system\n",
"3. Lowenstein, Roger (August 5, 2011). \"The Nixon Shock\". www.bloomberg.com. Bloomberg. Retrieved March 25, 2019.\n",
"4. Bank for International Settlements. \"Foreign Exchange Turnover in April 2019.\" Accessed Oct. 3, 2020.\n",
"5. https://fxssi.com/the-most-traded-currency-pairs"
]
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