diff --git a/pdesolvers/optionspricing/market_data.py b/pdesolvers/optionspricing/market_data.py
index b6b0b3a..e99e15c 100644
--- a/pdesolvers/optionspricing/market_data.py
+++ b/pdesolvers/optionspricing/market_data.py
@@ -21,8 +21,8 @@ def estimate_metrics(self):
         self.__stock_data["Time Diff"] = self.__stock_data.index.to_series().diff().dt.days
         self.__stock_data["Z"] = self.__stock_data["Log Returns"] / self.__stock_data["Time Diff"]
 
-        sigma = self.__stock_data["Log Returns"].std()
-        mu = self.__stock_data["Log Returns"].mean()
+        sigma = self.__stock_data["Log Returns"].std() * np.sqrt(252)
+        mu = self.__stock_data["Log Returns"].mean() * 252
 
         return sigma, mu
 
@@ -30,4 +30,16 @@ def get_latest_stock_price(self):
         if self.__stock_data is None:
             raise ValueError("No data available. Call fetch_data first.")
 
-        return self.__stock_data["Close"].iloc[-1].item()
\ No newline at end of file
+        return self.__stock_data["Close"].iloc[-1].item()
+
+    def get_initial_stock_price(self):
+        if self.__stock_data is None:
+            raise ValueError("No data available. Call fetch_data first.")
+
+        return self.__stock_data["Close"].iloc[0].item()
+
+    def get_closing_prices(self):
+        if self.__stock_data is None:
+            raise ValueError("No data available. Call fetch_data first.")
+
+        return self.__stock_data["Close"].values
\ No newline at end of file
diff --git a/pdesolvers/optionspricing/monte_carlo.py b/pdesolvers/optionspricing/monte_carlo.py
index bb1b0b7..749b2d8 100644
--- a/pdesolvers/optionspricing/monte_carlo.py
+++ b/pdesolvers/optionspricing/monte_carlo.py
@@ -14,7 +14,7 @@
 
 class MonteCarloPricing:
 
-    def __init__(self, option_type: OptionType, S0, strike_price, r, sigma, T, time_steps, sim, seed=None):
+    def __init__(self, option_type: OptionType, S0, strike_price, mu, sigma, T, time_steps, sim, seed=None):
         """
         Initialize the Geometric Brownian Motion model with the given parameters.
 
@@ -30,7 +30,7 @@ def __init__(self, option_type: OptionType, S0, strike_price, r, sigma, T, time_
         self.__option_type = option_type
         self.__S0 = S0
         self.__strike_price = strike_price
-        self.__r = r
+        self.__mu = mu
         self.__sigma = sigma
         self.__T = T
         self.__time_steps = time_steps
@@ -60,7 +60,7 @@ def get_monte_carlo_option_price(self):
         else:
             raise ValueError(f'Unsupported Option Type: {self.__option_type}')
 
-        option_price = np.exp(-self.__r * self.__T) * np.mean(self.__payoff)
+        option_price = np.exp(-self.__mu * self.__T) * np.mean(self.__payoff)
 
         logging.info(f"Option price calculated successfully with {self.__class__.__name__}.")
 
@@ -95,7 +95,7 @@ def simulate_gbm(self):
                 # updates brownian motion
                 B[i,j] = B[i,j-1] + np.sqrt(dt) * Z[i,j-1]
                 # calculates stock price based on the incremental difference
-                S[i,j] = S[i, j-1] * np.exp((self.__r - 0.5*self.__sigma**2)*dt + self.__sigma * (B[i, j] - B[i, j - 1]))
+                S[i,j] = S[i, j-1] * np.exp((self.__mu - 0.5*self.__sigma**2)*dt + self.__sigma * (B[i, j] - B[i, j - 1]))
 
         end = time.perf_counter()
         self.__duration = end - start
@@ -150,7 +150,7 @@ def __generate_grid(self):
 
         return np.linspace(0, self.__T, self.__time_steps)
 
-    def plot_price_paths(self, export=False):
+    def plot_price_paths(self, closing_prices=None, export=False):
         """
         Plot the simulated stock prices for all simulations.
         """
@@ -171,6 +171,12 @@ def plot_price_paths(self, export=False):
         plt.xlabel("Time (Years)")
         plt.ylabel("Stock Price")
 
+        if closing_prices is not None:
+            if len(closing_prices) != len(t):
+                raise ValueError("Length of closing prices does not match the number of time steps in the simulation.")
+
+            plt.plot(t , closing_prices, color='red')
+
         if export:
             plt.savefig("monte_carlo_prices.pdf", format="pdf", bbox_inches="tight")
 
@@ -199,7 +205,6 @@ def plot_distribution_of_final_prices(self, export=False):
 
         if export:
             plt.savefig("monte_carlo_prices.pdf", format="pdf", bbox_inches="tight", pad_inches=0.2)
-
             plt.show()
 
     def plot_distribution_of_payoff(self, export=False):
diff --git a/pdesolvers/tests/test_options_pricing.py b/pdesolvers/tests/test_options_pricing.py
index 09ad74e..99f2f8d 100644
--- a/pdesolvers/tests/test_options_pricing.py
+++ b/pdesolvers/tests/test_options_pricing.py
@@ -10,7 +10,7 @@ def mc_pricing_params():
     return {
         'S0': 100.0,
         'strike_price': 100.0,
-        'r': 0.05,
+        'mu': 0.05,
         'sigma': 0.2,
         'T': 1.0,
         'time_steps': 252,
@@ -31,7 +31,7 @@ def test_get_european_call_option_price(self, mock_simulate_gbm, mc_pricing_para
         )
 
         mock_payoffs = np.maximum(np.array([110, 120, 90, 105, 115]) - mc_pricing_params['strike_price'], 0)
-        expected_price = np.exp(-mc_pricing_params['r'] * mc_pricing_params['T']) * np.mean(mock_payoffs)
+        expected_price = np.exp(-mc_pricing_params['mu'] * mc_pricing_params['T']) * np.mean(mock_payoffs)
 
         actual_price = test_mc.get_monte_carlo_option_price()
 
@@ -49,7 +49,7 @@ def test_get_european_put_option_price(self, mock_simulate_gbm, mc_pricing_param
         )
 
         mock_payoffs = np.maximum(mc_pricing_params['strike_price'] - np.array([110, 120, 90, 105, 115]), 0)
-        expected_price = np.exp(-mc_pricing_params['r'] * mc_pricing_params['T']) * np.mean(mock_payoffs)
+        expected_price = np.exp(-mc_pricing_params['mu'] * mc_pricing_params['T']) * np.mean(mock_payoffs)
 
         actual_price = test_mc.get_monte_carlo_option_price()