diff --git a/financepy/market/curves/discount_curve.py b/financepy/market/curves/discount_curve.py index 515baffa..200e4381 100644 --- a/financepy/market/curves/discount_curve.py +++ b/financepy/market/curves/discount_curve.py @@ -54,6 +54,7 @@ def __init__( self._times = [0.0] self._dfs = [1.0] self._df_dates = df_dates + self._dates = [value_dt] num_points = len(df_dates) @@ -62,13 +63,18 @@ def __init__( if df_dates[0] == value_dt: self._dfs[0] = df_values[0] start_index = 1 + + self._dfs[0] = df_values[0] + start_index = 1 for i in range(start_index, num_points): t = (df_dates[i] - value_dt) / G_DAYS_IN_YEARS self._times.append(t) self._dfs.append(df_values[i]) + self._dates.append(df_dates[i]) self._times = np.array(self._times) + self._dates = np.array(self._dates) if test_monotonicity(self._times) is False: print(self._times) @@ -345,6 +351,46 @@ def df(self, dt: Union[list, Date], day_count=DayCountTypes.ACT_ACT_ISDA): return dfs return np.array(dfs) + + #################################################################################### + + def dates_from_df(self, dfs: Union[list, float], day_count=DayCountTypes.ACT_ACT_ISDA): + """Function to calculate dates corresponding to given discount factors. + This is the inverse of df(): it maps discount factors -> dates. + The day count determines how times get converted back to dates.""" + + # Ensure discount factors are in list/array form + if isinstance(dfs, (float, int)): + dfs = [dfs] + + # Step 1: Invert the discount factor function + times = [] + for df_value in dfs: + # We need to find t such that df_t(t) = df_value + # Use a numerical root-finding method since df_t is typically monotonic decreasing + def func(t): + return self.df_t(t) - df_value + + # Bounds: assume discount factors decrease from 1 at t=0 + # Expand upper bound dynamically until df_t < df_value + t_low, t_high = 0.0, 1.0 + while self.df_t(t_high) > df_value and t_high < 100: + t_high *= 2 + + # Solve for t + from scipy.optimize import brentq + t_sol = brentq(func, t_low, t_high) + times.append(t_sol) + + # Step 2: Convert times -> dates + from numpy import array + dates = dates_from_times(array(times), self.value_dt, day_count) + + if len(dates) == 1: + return dates[0] + + return dates + #################################################################################### @@ -428,13 +474,14 @@ def bump(self, bump_size: float): times = self._times.copy() values = self._dfs.copy() + dates = self._dates.copy() n = len(self._times) for i in range(0, n): t = times[i] values[i] = values[i] * np.exp(-bump_size * t) - disc_curve = DiscountCurve(self.value_dt, times, values, self._interp_type) + disc_curve = DiscountCurve(self.value_dt, list(dates), values, self._interp_type) return disc_curve @@ -494,8 +541,7 @@ def __repr__(self): num_points = len(self._df_dates) s += label_to_string("DATES", "DISCOUNT FACTORS") for i in range(0, num_points): - s += label_to_string(f"{self._df_dates[i]:>12}", f"{self._dfs[i]:12.8f}") - + s += label_to_string(f"{self._times[i]:10.6f}", f"{self._dfs[i]:12.10f}") return s #################################################################################### diff --git a/financepy/utils/helpers.py b/financepy/utils/helpers.py index a80d56f0..a7073edb 100644 --- a/financepy/utils/helpers.py +++ b/financepy/utils/helpers.py @@ -130,6 +130,56 @@ def times_from_dates( ######################################################################################## +def dates_from_times( + t: Union[float, list, np.ndarray], + value_dt: Date, + dc_type: DayCountTypes = None +): + """If a single time (in years) is passed in then return the date from the + valuation date. If a whole vector of times is passed in then convert to a + vector of dates from the valuation date. The output is always a numpy vector + of Date objects (with one element if the input is only one time).""" + + if isinstance(value_dt, Date) is False: + raise FinError("Valuation date is not a Date") + + if dc_type is None: + dc_counter = None + else: + dc_counter = DayCount(dc_type) + + # Helper for one value + def single_date_from_time(time_value): + if dc_counter is None: + # Assume simple day count = 365 + delta_days = int(round(time_value * G_DAYS_IN_YEARS)) + return value_dt.add_days(delta_days) + else: + # Use inverse of year_frac logic — approximate by solving for date + # This assumes the DayCount class has add_year_frac or similar method + try: + return dc_counter.add_year_frac(value_dt, time_value) + except AttributeError: + # Fallback if no such method exists — use simple approximation + delta_days = int(round(time_value * G_DAYS_IN_YEARS)) + return value_dt.add_days(delta_days) + + # Case 1: single float + if isinstance(t, (float, int)): + return single_date_from_time(t) + + # Case 2: list or numpy array + elif isinstance(t, (list, np.ndarray)): + dates = [single_date_from_time(time_value) for time_value in t] + return np.array(dates) + + else: + raise FinError("Time input must be a float, list, or numpy array.") + + return None +######################################################################################## + + def check_vector_differences(x: np.ndarray, y: np.ndarray, tol: float = 1e-6): """Compare two vectors elementwise to see if they are more different than tolerance.""" diff --git a/notebooks/market/curves/FINDISCOUNTCURVE_Introduction.ipynb b/notebooks/market/curves/FINDISCOUNTCURVE_Introduction.ipynb index ffd07f0e..67bb874a 100644 --- a/notebooks/market/curves/FINDISCOUNTCURVE_Introduction.ipynb +++ b/notebooks/market/curves/FINDISCOUNTCURVE_Introduction.ipynb @@ -134,7 +134,40 @@ "metadata": {}, "outputs": [], "source": [ - "curve = DiscountCurve(start_dt,dates,dfs, InterpTypes.FLAT_FWD_RATES)" + "curve = DiscountCurve(start_dt, dates, dfs, InterpTypes.FLAT_FWD_RATES)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can also decide to bump the discount curve using `.bump`" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "OBJECT TYPE: DiscountCurve\n", + "DATES: DISCOUNT FACTORS\n", + " 0.000000: 1.0000000000\n", + " 2.498630: 0.8822764268\n", + " 5.002740: 0.7687416867\n", + " 7.501370: 0.6614967973\n", + " 10.005479: 0.5621421372" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "curve.bump(1/10_000)" ] }, { @@ -153,7 +186,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ @@ -164,12 +197,12 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "metadata": {}, "outputs": [ { "data": { - "image/png": "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", + "image/png": "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", "text/plain": [ "
" ] @@ -200,7 +233,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ @@ -212,7 +245,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 13, "metadata": {}, "outputs": [ { @@ -221,7 +254,7 @@ "(numpy.ndarray, numpy.ndarray)" ] }, - "execution_count": 12, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -232,12 +265,12 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 14, "metadata": {}, "outputs": [ { "data": { - "image/png": "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", + "image/png": "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", "text/plain": [ "
" ] @@ -261,7 +294,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 15, "metadata": {}, "outputs": [], "source": [ @@ -270,7 +303,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 16, "metadata": {}, "outputs": [ { @@ -279,13 +312,13 @@ "Text(0.5, 1.0, 'Swap Rates')" ] }, - "execution_count": 15, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": "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", + "image/png": "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", "text/plain": [ "
" ] @@ -317,7 +350,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": ".venv", "language": "python", "name": "python3" }, @@ -331,7 +364,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.7" + "version": "3.13.5" } }, "nbformat": 4,