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# -----------------------------------------
# DCF Plot for GOOGL Stock – Modified Example in R
# Adjusted parameters to see variation in discounted FCFs
# Parameters (in billions of USD)
fcf0 <- 75 # Current Free Cash Flow
g <- 0.12 # Adjusted Annual Growth Rate (12%)
r <- 0.10 # Discount Rate (10%)
terminalMultiple <- 15 # Terminal FCF Multiple
MOS <- 0.20 # 20% Margin of Safety
# Choose the forecast horizon (set T = 10 for a 10-year forecast)
T <- 10
# -------------------------------
# Step 1: Calculate Projected and Discounted FCFs for Each Year
# -------------------------------
years <- 1:T
# Projected free cash flows for each year with 12% growth
projected_fcf <- fcf0 * (1 + g)^years
# Discount factors for each year
discount_factors <- (1 + r)^years
# Discounted FCF: now these will vary because g != r
discounted_fcf <- projected_fcf / discount_factors
# -------------------------------
# Step 2: Calculate Terminal Value at the End of Forecast
# -------------------------------
# Projected FCF in the final forecast year
final_year_fcf <- projected_fcf[T]
# Terminal value using the terminal multiple
terminal_value <- final_year_fcf * terminalMultiple
# Discount the terminal value back to the present
PV_terminal <- terminal_value / ((1 + r)^T)
# -------------------------------
# Step 3: Plot the Results
# -------------------------------
plot(years, discounted_fcf, type = "b", pch = 19, col = "blue", lwd = 2,
xlab = "Year", ylab = "Value (Billion USD)",
main = "DCF Analysis for GOOGL: Discounted FCF & Terminal Value")
# Add the discounted Terminal Value as a red point at the final forecast year
points(T, PV_terminal, col = "red", pch = 19, cex = 1.5)
text(T, PV_terminal, labels = paste("PV(TV) =", round(PV_terminal, 2)),
pos = 3, col = "red", cex = 0.8)
# Optionally, add a legend to the plot
legend("topleft",
legend = c("Discounted Annual FCF", "Discounted Terminal Value"),
col = c("blue", "red"),
pch = c(19, 19),
lty = c(1, NA),
bty = "n")
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