# for Core packages
library(tidyverse)
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# for financial analysis
library(tidyquant)
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# for times series
library(timetk)
## 
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##     FANG
library(dplyr)
library(ggplot2)
library(lubridate)

Goal: Apply Matt Dancho’s tutorial to state unemployment initial claims of New England states.

The following is the replication of Matt Dancho’s tutorial on this page

start_date <- "1989-01-01"

symbols_txt <- c("CTICLAIMS", # Connecticut
                 "MEICLAIMS", # Maine
                 "MAICLAIMS", # Massachusetts
                 "NHICLAIMS", # New Hampshire
                 "RIICLAIMS", # Rhode Island
                 "VTICLAIMS") # Vermont

claims_tbl <- tq_get(symbols_txt, get = "economic.data", from = start_date) %>%
    mutate(symbol = fct_recode(symbol,
                               "Connecticut"   = "CTICLAIMS",
                               "Maine"         = "MEICLAIMS",
                               "Massachusetts" = "MAICLAIMS",
                               "New Hampshire" = "NHICLAIMS",
                               "Rhode Island"  = "RIICLAIMS",
                               "Vermont"       = "VTICLAIMS")) %>%
    rename(claims = price)

Plotting time series

claims_tbl
## # A tibble: 11,220 × 3
##    symbol      date       claims
##    <fct>       <date>      <int>
##  1 Connecticut 1989-01-07   8345
##  2 Connecticut 1989-01-14   6503
##  3 Connecticut 1989-01-21   3821
##  4 Connecticut 1989-01-28   4663
##  5 Connecticut 1989-02-04   4162
##  6 Connecticut 1989-02-11   4337
##  7 Connecticut 1989-02-18   4079
##  8 Connecticut 1989-02-25   3556
##  9 Connecticut 1989-03-04   3826
## 10 Connecticut 1989-03-11   3515
## # ℹ 11,210 more rows
claims_tbl %>% 
  plot_time_series(.date_var = date, .value = claims)
claims_tbl %>% group_by(symbol)
## # A tibble: 11,220 × 3
## # Groups:   symbol [6]
##    symbol      date       claims
##    <fct>       <date>      <int>
##  1 Connecticut 1989-01-07   8345
##  2 Connecticut 1989-01-14   6503
##  3 Connecticut 1989-01-21   3821
##  4 Connecticut 1989-01-28   4663
##  5 Connecticut 1989-02-04   4162
##  6 Connecticut 1989-02-11   4337
##  7 Connecticut 1989-02-18   4079
##  8 Connecticut 1989-02-25   3556
##  9 Connecticut 1989-03-04   3826
## 10 Connecticut 1989-03-11   3515
## # ℹ 11,210 more rows
claims_tbl %>%
  group_by(symbol) %>%
  plot_time_series(.date_var     = date, 
                   .value       = claims,
                   .facet_ncol   = 2, 
                   .facet_scales = "free",
                   .interactive  = FALSE)

Box plots

claims_tbl %>% count(symbol)
## # A tibble: 6 × 2
##   symbol            n
##   <fct>         <int>
## 1 Connecticut    1870
## 2 Massachusetts  1870
## 3 Maine          1870
## 4 New Hampshire  1870
## 5 Rhode Island   1870
## 6 Vermont        1870
claims_tbl %>% 
    filter_by_time(.date_var = date, .end_date = "1990") %>%
    group_by(symbol) %>%
    plot_time_series_boxplot(
        .date_var    = date,
        .value       = claims,
        .period      = "1 year",
        .facet_ncol  = 2)
## Warning: There were 30 warnings in `dplyr::mutate()`.
## The first warning was:
## ℹ In argument: `.value_smooth = auto_smooth(...)`.
## ℹ In group 1: `symbol = Connecticut`.
## Caused by warning in `simpleLoess()`:
## ! span too small.   fewer data values than degrees of freedom.
## ℹ Run `dplyr::last_dplyr_warnings()` to see the 29 remaining warnings.

Regression plots

claims_tbl %>%
    group_by(symbol) %>%
    plot_time_series_regression(
        .date_var     = date,
        .formula      = log(claims) ~ as.numeric(date) + month(date, label = TRUE),
        .facet_ncol   = 2,
        .show_summary = FALSE)

Plotting Seasonality and Correlation

Correlation Plots

claims_tbl %>%
    group_by(symbol) %>%
    plot_acf_diagnostics(
        date, claims,              
        .lags = "7 days")

Seasonality

claims_tbl %>%
    plot_seasonal_diagnostics(date, claims)
claims_tbl %>% count(symbol)
## # A tibble: 6 × 2
##   symbol            n
##   <fct>         <int>
## 1 Connecticut    1870
## 2 Massachusetts  1870
## 3 Maine          1870
## 4 New Hampshire  1870
## 5 Rhode Island   1870
## 6 Vermont        1870
claims_tbl %>%
    group_by(symbol) %>%
    plot_seasonal_diagnostics(date, claims)

STL Diagnostics

claims_tbl %>%
    group_by(symbol) %>%
    plot_stl_diagnostics(
        date, claims,
        .feature_set = c("trend"))
## frequency = 13 observations per 1 quarter
## trend = 53 observations per 1 year
## frequency = 13 observations per 1 quarter
## trend = 53 observations per 1 year
## frequency = 13 observations per 1 quarter
## trend = 53 observations per 1 year
## frequency = 13 observations per 1 quarter
## trend = 53 observations per 1 year
## frequency = 13 observations per 1 quarter
## trend = 53 observations per 1 year
## frequency = 13 observations per 1 quarter
## trend = 53 observations per 1 year

Time Series Data Wrangling

Summarize by Time

daily data

claims_tbl %>%
  group_by(symbol) %>%
  plot_time_series(date, claims, .facet_ncol = 2, .interactive = FALSE)

summarize it by quarter

claims_tbl %>%
    group_by(symbol) %>% 
    summarise_by_time(.date_var = date, claims =sum(claims), .by = "quarter") %>%
    plot_time_series(date, claims, .facet_ncol = 2, .interactive = FALSE)

claims_tbl %>%
    group_by(symbol) %>% 
    summarise_by_time(.date_var = date, claims =mean(claims), .by = "month") %>%
    plot_time_series(date, claims, .facet_ncol = 2, .interactive = FALSE)

Filter By Time

claims_tbl %>%
  group_by(symbol) %>%
  filter_by_time(.date_var   = date,
                 .start_date = "1990",
                 .end_date   = "2000") %>%
    plot_time_series(date, claims, .facet_ncol = 2)

Padding Data

claims_tbl %>%
  group_by(symbol) %>%
  pad_by_time(date, .by = "day", .pad_value = 0) 
## # A tibble: 78,504 × 3
## # Groups:   symbol [6]
##    symbol      date       claims
##    <fct>       <date>      <int>
##  1 Connecticut 1989-01-07   8345
##  2 Connecticut 1989-01-08      0
##  3 Connecticut 1989-01-09      0
##  4 Connecticut 1989-01-10      0
##  5 Connecticut 1989-01-11      0
##  6 Connecticut 1989-01-12      0
##  7 Connecticut 1989-01-13      0
##  8 Connecticut 1989-01-14   6503
##  9 Connecticut 1989-01-15      0
## 10 Connecticut 1989-01-16      0
## # ℹ 78,494 more rows

Sliding (Rolling) Calculations

claims_tbl %>%
    head(10) %>%
    mutate(rolling_avg_2 = slidify_vec(claims, mean,
                                       .period  = 2,
                                       .align   = "right",
                                       .partial = TRUE))
## # A tibble: 10 × 4
##    symbol      date       claims rolling_avg_2
##    <fct>       <date>      <int>         <dbl>
##  1 Connecticut 1989-01-07   8345         8345 
##  2 Connecticut 1989-01-14   6503         7424 
##  3 Connecticut 1989-01-21   3821         5162 
##  4 Connecticut 1989-01-28   4663         4242 
##  5 Connecticut 1989-02-04   4162         4412.
##  6 Connecticut 1989-02-11   4337         4250.
##  7 Connecticut 1989-02-18   4079         4208 
##  8 Connecticut 1989-02-25   3556         3818.
##  9 Connecticut 1989-03-04   3826         3691 
## 10 Connecticut 1989-03-11   3515         3670.