##      Package LibPath Version Priority Depends Imports LinkingTo Suggests
##      Enhances License License_is_FOSS License_restricts_use OS_type Archs
##      MD5sum NeedsCompilation Built
## # A tibble: 6 × 10
##   Date                  VCB   MBB   BID   CTG   SHB   ACB   STB   EIB `VN-INDEX`
##   <dttm>              <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>      <dbl>
## 1 2024-12-31 00:00:00 91200 21826 37550 37800 10250 25800 36900 19300      1267.
## 2 2024-12-30 00:00:00 92000 21565 38250 38900 10250 25400 37850 19300      1272.
## 3 2024-12-27 00:00:00 92200 21783 39150 38800 10300 25550 37400 19450      1275.
## 4 2024-12-26 00:00:00 92100 21652 39000 38200 10300 25550 37100 19250      1273.
## 5 2024-12-25 00:00:00 92400 21261 38650 38200 10300 25450 36250 19500      1274.
## 6 2024-12-24 00:00:00 92100 20783 38100 36200 10250 25000 34700 19600      1260.
##      Package LibPath Version Priority Depends Imports LinkingTo Suggests
##      Enhances License License_is_FOSS License_restricts_use OS_type Archs
##      MD5sum NeedsCompilation Built

4.1. Giới thiệu chương

## $Giai_doan
## [1] "NA → NA"
## 
## $So_thang
## [1] 120
## 
## $Tan_suat
## [1] "Tháng"
## 
## $Thi_truong
## [1] "VN-INDEX"
## 
## $Ma_ngan_hang
## [1] "VCB" "MBB" "BID" "CTG" "SHB" "ACB" "STB" "EIB"

4.2. Thống kê mô tả

Bảng 4.2. Thống kê mô tả lợi suất tháng (đầy đủ)
Biến N Mean SD Min P01 P05 P25 Median P75 P95 P99 Max Mode (KDE) Skew Kurtosis(excess) W p
ACB 119 1.81% 8.29% -23.74% -17.11% -11.74% -2.16% 1.38% 5.42% 17.75% 23.41% 32.76% 0.71% 0.3712314 2.0205911 0.9576122 0.0008670
BID 119 1.59% 10.62% -32.20% -23.10% -16.24% -5.23% 1.15% 9.21% 16.89% 30.52% 34.12% -2.07% 0.0637016 0.9289345 0.9828682 0.1348748
CTG 119 1.49% 10.17% -33.20% -22.46% -15.09% -4.31% 1.47% 6.46% 17.59% 29.39% 30.15% 2.78% 0.1032437 1.2882661 0.9768578 0.0377783
EIB 119 0.98% 10.36% -40.54% -28.84% -13.05% -4.59% 0.71% 6.23% 19.72% 23.42% 36.57% 0.31% -0.1369978 2.7898517 0.9535348 0.0004219
MBB 119 1.72% 9.00% -33.58% -23.30% -12.44% -2.60% 1.07% 6.36% 16.73% 24.14% 25.59% 0.51% -0.3236355 1.9047846 0.9670056 0.0050653
SHB 119 1.46% 13.16% -35.45% -28.92% -13.74% -4.83% -0.61% 5.69% 21.36% 43.83% 71.23% -1.24% 1.6201155 7.0700566 0.8639273 0.0000000
STB 119 1.41% 11.27% -37.07% -21.19% -14.99% -5.22% 0.00% 8.40% 20.72% 26.38% 41.42% -1.23% 0.2615043 1.3986608 0.9780887 0.0489955
VCB 119 1.66% 8.16% -24.76% -16.43% -10.83% -2.60% 0.80% 6.45% 14.90% 22.11% 25.29% -1.17% 0.0790500 0.7964677 0.9787507 0.0563724
VN-INDEX 120 0.36% 7.84% -57.02% -22.37% -9.24% -1.47% 1.27% 3.74% 10.34% 13.66% 16.09% 1.53% -3.4797740 22.9171310 0.7479496 0.0000000

4.3. Ước lượng Camp

Bảng 4.3. Ước lượng CAPM: beta, alpha, R² và p-value
Ticker alpha beta p_alpha p_beta R2 Adj_R2
ACB 0.0104 0.8750 0.0888972 0.0000000 0.3770 0.3717
BID 0.0058 1.2815 0.4051925 0.0000000 0.4928 0.4885
CTG 0.0049 1.2873 0.4450955 0.0000000 0.5424 0.5385
EIB 0.0040 0.5260 0.6643711 0.0010985 0.0874 0.0796
MBB 0.0076 1.1896 0.1529214 0.0000000 0.5925 0.5890
SHB 0.0091 0.4681 0.4458490 0.0239065 0.0428 0.0347
STB 0.0044 1.2212 0.5901204 0.0000000 0.3978 0.3926
VCB 0.0079 1.0464 0.1185249 0.0000000 0.5564 0.5526

Công thức tổng quát \[ r_{i,t}-r_{f,t}=\alpha_i+\beta_i\big(r_{M,t}-r_{f,t}\big)+\varepsilon_{i,t}. \]

Cụ thể \[ \begin{aligned} \text{ACB:}\quad & r_{\mathrm{ACB},t}-r_{f,t}=0.0104+0.8750\,\big(r_{M,t}-r_{f,t}\big)+\varepsilon_{\mathrm{ACB},t},\\ \text{BID:}\quad & r_{\mathrm{BID},t}-r_{f,t}=0.0058+1.2815\,\big(r_{M,t}-r_{f,t}\big)+\varepsilon_{\mathrm{BID},t},\\ \text{CTG:}\quad & r_{\mathrm{CTG},t}-r_{f,t}=0.0049+1.2873\,\big(r_{M,t}-r_{f,t}\big)+\varepsilon_{\mathrm{CTG},t},\\ \text{EIB:}\quad & r_{\mathrm{EIB},t}-r_{f,t}=0.0040+0.5260\,\big(r_{M,t}-r_{f,t}\big)+\varepsilon_{\mathrm{EIB},t},\\ \text{MBB:}\quad & r_{\mathrm{MBB},t}-r_{f,t}=0.0076+1.1896\,\big(r_{M,t}-r_{f,t}\big)+\varepsilon_{\mathrm{MBB},t},\\ \text{SHB:}\quad & r_{\mathrm{SHB},t}-r_{f,t}=0.0091+0.4681\,\big(r_{M,t}-r_{f,t}\big)+\varepsilon_{\mathrm{SHB},t},\\ \text{STB:}\quad & r_{\mathrm{STB},t}-r_{f,t}=0.0044+1.2212\,\big(r_{M,t}-r_{f,t}\big)+\varepsilon_{\mathrm{STB},t},\\ \text{VCB:}\quad & r_{\mathrm{VCB},t}-r_{f,t}=0.0079+1.0464\,\big(r_{M,t}-r_{f,t}\big)+\varepsilon_{\mathrm{VCB},t}. \end{aligned} \]

4.4. Lợi suất kỳ vọng CAPM & phân loại định giá

Bảng 4.4. Lợi suất kỳ vọng theo CAPM & phân loại định giá
Beta Alpha Lợi suất TB (tháng) E[Ri]_CAPM Định giá
ACB 0.8750290 0.0103877 0.3770026 1.81% 0.35% Undervalued (α > 0)
BID 1.2814697 0.0058458 0.4928495 1.59% 0.38% Undervalued (α > 0)
CTG 1.2873106 0.0048765 0.5424456 1.49% 0.38% Undervalued (α > 0)
EIB 0.5260171 0.0039804 0.0873876 0.98% 0.33% Undervalued (α > 0)
MBB 1.1896159 0.0076403 0.5925028 1.72% 0.38% Undervalued (α > 0)
SHB 0.4681216 0.0091110 0.0428429 1.46% 0.32% Undervalued (α > 0)
STB 1.2211863 0.0043691 0.3977656 1.41% 0.38% Undervalued (α > 0)
VCB 1.0464024 0.0079091 0.5564065 1.66% 0.37% Undervalued (α > 0)

---
title: "Tài chính 2"
author: "Phạm Xuân Hoan "
date: "`r format(Sys.time(), '%H:%M:%S, %d - %m - %Y')`"
output:
  html_document:
    code_download: yes
    code_folding: hide
    toc_depth: 4
    toc_float: true
    toc: true
  word_document:
    toc: true
    toc_depth: '4'
  pdf_document:
    latex_engine: xelatex
---

```{r setup, include=FALSE}
knitr::opts_chunk$set(
	echo = FALSE,
	message = FALSE,
	warning = FALSE
)
```

<style>
body {
  font-family: "Times New Roman", sans-serif;
  font-size: 16px;
  text-align: justify;
  line-height: 1.5;
}
h2 {
  color: red;
}
h3 {
  color: darkblue;
}
</style>

```{r}
installed.packages("xlsx")
library(openxlsx)
library(readxl)
library(DT)
library(pander)
library(readr)
library(ggplot2)
library(dplyr)
library(skimr)
library(psych)
library(formattable)
library(htmltools)
library(DescTools)
library(epitools)
library(pROC)
library(ggrepel)
library(gridExtra)
```

```{r}

# 1. Đọc file Excel
data <- read_excel("/Users/phamxuanhoan/Documents/Tiểu luận /Định giá tài sản tài chính 2/Dữ liệu.xlsx")

head(data)
```

```{r}
# Packages & tham số
installed.packages("zoo")
library(dplyr); library(tidyr); library(zoo)
library(broom); library(moments); library(scales); library(knitr)

# Cột thị trường & danh sách mã
market_col <- names(data)[grepl("VN.*INDEX", names(data), ignore.case = TRUE)][1]
stopifnot(!is.na(market_col))
tickers <- setdiff(names(data), c("Date", market_col, "Rf", "RF", "rf"))

# Nếu CHƯA có chuỗi Rf theo tháng trong dữ liệu:
rf_annual <- 0.035                        # chỉnh tại đây nếu muốn
rf_monthly_const <- (1 + rf_annual)^(1/12) - 1

```

# 4.1. Giới thiệu chương

```{r}
# Giá cuối tháng
prices_m <- data %>%
  arrange(Date) %>%
  mutate(ym = as.yearmon(Date)) %>%
  group_by(ym) %>%
  summarise(across(all_of(c(tickers, market_col)), ~ dplyr::last(na.omit(.x))),
            .groups = "drop")

# Lợi suất tháng (simple)
rets_m <- prices_m %>%
  arrange(ym) %>%
  mutate(across(all_of(c(tickers, market_col)), ~ .x/lag(.x) - 1)) %>%
  slice(-1)

# Thông tin mẫu (in ra để chèn vào báo cáo)
sample_info <- list(
  Giai_doan = paste0(as.character(min(prices_m$ym)), " → ", as.character(max(prices_m$ym))),
  So_thang  = nrow(rets_m),
  Tan_suat  = "Tháng",
  Thi_truong= market_col,
  Ma_ngan_hang = tickers
)
sample_info

```


# 4.2. Thống kê mô tả

```{r}
# Helpers: Mode cho biến liên tục & Shapiro an toàn
mode_kde <- function(x){
  x <- na.omit(x); if (length(x) < 3) return(NA_real_)
  d <- density(x); d$x[which.max(d$y)]
}
shapiro_safe <- function(x){
  x <- na.omit(x)
  if (length(unique(x)) < 3 || length(x) < 3 || length(x) > 5000) return(c(W=NA,p=NA))
  s <- shapiro.test(x); c(W=unname(s$statistic), p=unname(s$p.value))
}

desc_tbl <- rets_m %>%
  select(ym, all_of(c(tickers, market_col))) %>%
  pivot_longer(-ym, names_to = "Var", values_to = "ret") %>%
  group_by(Var) %>%
  summarise(
    N = sum(!is.na(ret)),
    Mean = mean(ret, na.rm=TRUE),
    SD   = sd(ret,   na.rm=TRUE),
    Min  = min(ret,  na.rm=TRUE),
    P01  = quantile(ret, .01, na.rm=TRUE),
    P05  = quantile(ret, .05, na.rm=TRUE),
    P25  = quantile(ret, .25, na.rm=TRUE),
    Median=quantile(ret, .50, na.rm=TRUE),
    P75  = quantile(ret, .75, na.rm=TRUE),
    P95  = quantile(ret, .95, na.rm=TRUE),
    P99  = quantile(ret, .99, na.rm=TRUE),
    Max  = max(ret,  na.rm=TRUE),
    Mode = mode_kde(ret),
    Skew = ifelse(N>=3, moments::skewness(ret, na.rm=TRUE), NA_real_),
    KurtosisE = ifelse(N>=4, moments::kurtosis(ret, na.rm=TRUE) - 3, NA_real_),
    ShapiroW  = {sh <- shapiro_safe(ret); sh["W"]},
    Shapiro_p = {sh <- shapiro_safe(ret); sh["p"]},
    .groups = "drop"
  ) %>% arrange(Var)

# Bảng trình bày (định dạng % cho các tỉ suất)
desc_fmt <- desc_tbl %>%
  mutate(across(c(Mean,SD,Min,P01,P05,P25,Median,P75,P95,P99,Max,Mode),
                ~ scales::percent(.x, accuracy = 0.01)))
knitr::kable(
  desc_fmt,
  align = "lrrrrrrrrrrrrrrrr",
  col.names = c("Biến","N","Mean","SD","Min","P01","P05","P25","Median",
                "P75","P95","P99","Max","Mode (KDE)","Skew","Kurtosis(excess)","W","p"),
  caption = "Bảng 4.2. Thống kê mô tả lợi suất tháng (đầy đủ)"
)

```

```{r}
# --- SML robust: tự tính beta & mean nếu thiếu ---
suppressPackageStartupMessages({
  library(dplyr); library(tidyr); library(zoo)
  library(ggplot2); library(scales)
})

# 0) Nhận diện các cột cần thiết
if (!exists("market_col") || is.na(market_col)) {
  market_col <- names(data)[grepl("VN.*INDEX", names(data), ignore.case = TRUE)][1]
}
if (!exists("rets_m")) {
  date_col <- names(data)[grepl("^(Ngày|NGÀY|Date|DATE)$", names(data))][1]
  tickers  <- setdiff(names(data), c(date_col, market_col, "Rf","RF","rf"))
  prices_m <- data %>%
    arrange(.data[[date_col]]) %>%
    mutate(ym = zoo::as.yearmon(.data[[date_col]])) %>%
    group_by(ym) %>%
    summarise(across(all_of(c(tickers, market_col)),
                     ~ dplyr::last(na.omit(.x))), .groups = "drop")
  rets_m <- prices_m %>%
    arrange(ym) %>%
    mutate(across(all_of(c(tickers, market_col)), ~ .x/lag(.x) - 1)) %>%
    slice(-1)
}
if (!exists("tickers")) {
  date_col <- names(data)[grepl("^(Ngày|NGÀY|Date|DATE)$", names(data))][1]
  tickers  <- setdiff(names(data), c(date_col, market_col, "Rf","RF","rf"))
}

# 1) Rf tháng
if ("Rf" %in% names(rets_m)) {
  rf_m <- rets_m$Rf
} else if (!exists("rf_m")) {
  rf_annual <- 0.035
  rf_m <- rep((1 + rf_annual)^(1/12) - 1, nrow(rets_m))
}

# 2) Beta theo CAPM (OLS từng mã) nếu thiếu capm_res
Rm_ex <- rets_m[[market_col]] - rf_m
get_beta <- function(y_ex, x) coef(lm(y_ex ~ x))[2]
betas <- sapply(tickers, function(tk){
  y_ex <- rets_m[[tk]] - rf_m
  get_beta(y_ex, Rm_ex)
})
capm_res <- tibble(Ticker = tickers, beta = as.numeric(betas))

# 3) Lợi suất TB tháng thực tế
means <- colMeans(rets_m[, tickers], na.rm = TRUE)
plot_df <- capm_res %>%
  left_join(tibble(Ticker = tickers, Mean = as.numeric(means)), by = "Ticker")

# 4) Tham số & đường SML
rf_used     <- mean(rf_m,  na.rm = TRUE)
mkt_premium <- mean(Rm_ex, na.rm = TRUE)
bmin <- min(plot_df$beta, na.rm = TRUE) - 0.05
bmax <- max(plot_df$beta, na.rm = TRUE) + 0.05
sml_df <- data.frame(beta = c(bmin, bmax),
                     y    = rf_used + c(bmin, bmax) * mkt_premium)

ymin <- min(c(plot_df$Mean, sml_df$y), na.rm = TRUE)
ymax <- max(c(plot_df$Mean, sml_df$y), na.rm = TRUE)

```


# 4.3. Ước lượng Camp

```{r}
# Rf theo tháng (dùng cột Rf nếu đã có; ngược lại dùng tham số ở phần chuẩn bị)
rf_m <- if ("Rf" %in% names(rets_m)) rets_m$Rf else rep(rf_monthly_const, nrow(rets_m))
Rm_ex <- rets_m[[market_col]] - rf_m

fit_one <- function(y_ex, rm_ex){
  fit <- lm(y_ex ~ rm_ex)
  tibble(alpha = coef(fit)[1],
         beta  = coef(fit)[2],
         p_alpha = summary(fit)$coefficients[1,4],
         p_beta  = summary(fit)$coefficients[2,4],
         R2 = summary(fit)$r.squared,
         Adj_R2 = summary(fit)$adj.r.squared)
}

capm_res <- purrr::map_dfr(tickers, function(tk){
  y_ex <- rets_m[[tk]] - rf_m
  out <- fit_one(y_ex, Rm_ex); out$Ticker <- tk; out
}) %>% select(Ticker, alpha, beta, p_alpha, p_beta, R2, Adj_R2) %>%
  arrange(Ticker)

knitr::kable(
  capm_res %>% mutate(across(c(alpha,beta,R2,Adj_R2), ~ round(.x, 4))),
  caption = "Bảng 4.3. Ước lượng CAPM: beta, alpha, R² và p-value"
)

```


**Công thức tổng quát**
\[
r_{i,t}-r_{f,t}=\alpha_i+\beta_i\big(r_{M,t}-r_{f,t}\big)+\varepsilon_{i,t}.
\]

**Cụ thể**
\[
\begin{aligned}
\text{ACB:}\quad & r_{\mathrm{ACB},t}-r_{f,t}=0.0104+0.8750\,\big(r_{M,t}-r_{f,t}\big)+\varepsilon_{\mathrm{ACB},t},\\
\text{BID:}\quad & r_{\mathrm{BID},t}-r_{f,t}=0.0058+1.2815\,\big(r_{M,t}-r_{f,t}\big)+\varepsilon_{\mathrm{BID},t},\\
\text{CTG:}\quad & r_{\mathrm{CTG},t}-r_{f,t}=0.0049+1.2873\,\big(r_{M,t}-r_{f,t}\big)+\varepsilon_{\mathrm{CTG},t},\\
\text{EIB:}\quad & r_{\mathrm{EIB},t}-r_{f,t}=0.0040+0.5260\,\big(r_{M,t}-r_{f,t}\big)+\varepsilon_{\mathrm{EIB},t},\\
\text{MBB:}\quad & r_{\mathrm{MBB},t}-r_{f,t}=0.0076+1.1896\,\big(r_{M,t}-r_{f,t}\big)+\varepsilon_{\mathrm{MBB},t},\\
\text{SHB:}\quad & r_{\mathrm{SHB},t}-r_{f,t}=0.0091+0.4681\,\big(r_{M,t}-r_{f,t}\big)+\varepsilon_{\mathrm{SHB},t},\\
\text{STB:}\quad & r_{\mathrm{STB},t}-r_{f,t}=0.0044+1.2212\,\big(r_{M,t}-r_{f,t}\big)+\varepsilon_{\mathrm{STB},t},\\
\text{VCB:}\quad & r_{\mathrm{VCB},t}-r_{f,t}=0.0079+1.0464\,\big(r_{M,t}-r_{f,t}\big)+\varepsilon_{\mathrm{VCB},t}.
\end{aligned}
\]




# 4.4. Lợi suất kỳ vọng CAPM & phân loại định giá

```{r}
# Phần bù rủi ro thị trường & Rf bình quân tháng
mkt_premium <- mean(Rm_ex, na.rm = TRUE)  # E[Rm - Rf]
rf_used     <- mean(rf_m,  na.rm = TRUE)  # E[Rf]

# Lợi suất TB thực tế theo tháng (lấy từ 4.2.2)
realized_mean <- desc_tbl %>% select(Var, Mean) %>% filter(Var %in% tickers)

capm_eval <- capm_res %>%
  mutate(Exp_CAPM = rf_used + beta * mkt_premium) %>%
  left_join(realized_mean, by = c("Ticker" = "Var")) %>%
  mutate(
    Signal = case_when(
      Mean > Exp_CAPM ~ "Undervalued (α > 0)",
      Mean < Exp_CAPM ~ "Overvalued (α < 0)",
      TRUE            ~ "Fair"
    ),
    Mean     = scales::percent(Mean,     0.01),
    Exp_CAPM = scales::percent(Exp_CAPM, 0.01)
  ) %>%
  select(Ticker, beta, alpha, R2, `Loi_suat_TB_thang` = Mean,
         `E_Ri_CAPM` = Exp_CAPM, Signal)

knitr::kable(
  capm_eval,
  col.names = c("Mã","Beta","Alpha","R²","Lợi suất TB (tháng)","E[Ri]_CAPM","Định giá"),
  caption = "Bảng 4.4. Lợi suất kỳ vọng theo CAPM & phân loại định giá"
)

```

```{r}
# Bảng sai lệch định giá theo tháng (≈ alpha)
library(dplyr); library(ggplot2); library(scales)

rf_used     <- mean(rf_m,  na.rm = TRUE)
mkt_premium <- mean(rets_m[[market_col]] - rf_m, na.rm = TRUE)

mis_df <- capm_res %>%
  select(Ticker, beta) %>%
  left_join(desc_tbl %>% filter(Var %in% tickers) %>%
              transmute(Ticker = Var, Mean), by = "Ticker") %>%
  mutate(E_CAPM = rf_used + beta*mkt_premium,
         Mispricing = Mean - E_CAPM) %>%
  arrange(desc(Mispricing))

ggplot(mis_df, aes(x = reorder(Ticker, Mispricing), y = Mispricing, fill = Mispricing > 0)) +
  geom_col() +
  coord_flip() +
  scale_y_continuous(labels = label_percent(accuracy = 0.01)) +
  scale_fill_manual(values = c("TRUE"="#2c7fb8","FALSE"="#de2d26"), guide = "none") +
  labs(title = "Sai lệch định giá theo CAPM (tháng)",
       subtitle = "Mispricing ≈ Ȓ - (Ȓf + β·MRP̄)  → dương: α>0",
       x = NULL, y = "Mispricing (≈ α)") +
  theme_minimal(base_size = 12)

```

```{r}
cs_df  <- mis_df[, c("Ticker","beta","Mean")]
ggplot(cs_df, aes(beta, Mean, label = Ticker)) +
  geom_point(size=3) +
  geom_smooth(method="lm", se=TRUE, color="grey30") +
  geom_text(vjust=-0.9, size=3) +
  scale_y_continuous(labels = label_percent(0.01)) +
  labs(title="SML thực nghiệm (cross-section)",
       x="Beta", y="Lợi suất TB tháng") +
  theme_minimal(base_size = 12)

```


