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Maturity | Spot_Rate | |
---|---|---|
1 | 0.01 | |
2 | 0.012 | |
3 | 0.014 | |
4 | 0.016 | |
5 | 0.018 | |
6 | 0.02 | |
7 | 0.022 | |
8 | 0.024 | |
9 | 0.026 |
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# Implementation with Koalas | |
import databricks.koalas as ks | |
# Read in the data from csv | |
data = ks.read_csv(rate_path) | |
# Shift the spot rate down along the maturity axis and calculate forward rate | |
data["Spot_Rate_Shift"] = data["Spot_Rate"].shift(1, fill_value=0) | |
data["Forward_Rate"] = (((1 + data["Spot_Rate"]) ** data["Maturity"]) / | |
((1 + data["Spot_Rate_Shift"]) ** (data["Maturity"] - 1)) - 1) |
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Maturity | Spot_Rate | Currency | Spot_Rate_Shift | Forward_Rate | |
---|---|---|---|---|---|
1 | 0.01 | USD | 0.0 | 0.01 | |
2 | 0.012 | USD | 0.01 | 0.014 | |
3 | 0.014 | USD | 0.012 | 0.018 | |
4 | 0.016 | USD | 0.014 | 0.022 | |
5 | 0.018 | USD | 0.016 | 0.026 | |
6 | 0.02 | USD | 0.018 | 0.03 | |
7 | 0.022 | USD | 0.02 | 0.034 | |
8 | 0.024 | USD | 0.022 | 0.038 | |
9 | 0.026 | USD | 0.024 | 0.042 |
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# Implementation with PySpark | |
from pyspark.sql import SparkSession | |
from pyspark.sql import Window | |
from pyspark.sql import functions as f | |
# Define Spark settings | |
builder = SparkSession.builder.appName("Forward_Rate_Calculation") | |
spark = builder.getOrCreate() | |
# Read in the spot rate data as csv |
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# Implementation with PySpark | |
from pyspark.sql import SparkSession | |
from pyspark.sql import Window | |
from pyspark.sql import functions as f | |
# Define Spark settings | |
builder = SparkSession.builder.appName("Koalas") | |
spark = builder.getOrCreate() | |
# Read in the spot rate data |
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Maturity | Spot_Rate | Spot_Rate_Shift | |
---|---|---|---|
1 | 0.01 | 0.0 | |
2 | 0.012 | 0.01 | |
3 | 0.014 | 0.012 | |
4 | 0.016 | 0.014 | |
5 | 0.018 | 0.016 | |
6 | 0.02 | 0.018 | |
7 | 0.022 | 0.02 | |
8 | 0.024 | 0.022 | |
9 | 0.026 | 0.024 |
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# Implementation with Pandas | |
import pandas as pd | |
# Read in the data from csv | |
data = pd.read_csv(rate_path) | |
# Shift the spot rate down along the maturity axis and calculate forward rate | |
data["Spot_Rate_Shift"] = data["Spot_Rate"].shift(1, fill_value=0) | |
data["Forward_Rate"] = (((1 + data["Spot_Rate"]) ** data["Maturity"]) / | |
((1 + data["Spot_Rate_Shift"]) ** (data["Maturity"] - 1)) - 1) |
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Maturity | Spot_Rate | Currency | |
---|---|---|---|
1 | 0.010 | USD | |
2 | 0.012 | USD | |
3 | 0.014 | USD | |
4 | 0.016 | USD | |
5 | 0.018 | USD | |
6 | 0.020 | USD | |
7 | 0.022 | USD | |
8 | 0.024 | USD | |
9 | 0.026 | USD |
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