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Allow enhanced indexing to generate portfolio without industry related restriction.

This commit is contained in:
Charles Young
2021-02-22 19:04:31 +08:00
parent d3caea60ee
commit 527718a440
2 changed files with 206 additions and 6 deletions

View File

@@ -291,7 +291,7 @@ class EnhancedIndexingOptimizer(BaseOptimizer):
lamb: float = 10,
delta: float = 0.4,
bench_dev: float = 0.01,
inds_dev: float = 0.01,
inds_dev: float = None,
scale_alpha: bool = True,
verbose: bool = False,
warm_start: str = DO_NOT_START_FROM,
@@ -302,7 +302,8 @@ class EnhancedIndexingOptimizer(BaseOptimizer):
lamb (float): risk aversion parameter (larger `lamb` means less focus on return)
delta (float): turnover rate limit
bench_dev (float): benchmark deviation limit
inds_dev (float): industry deviation limit
inds_dev (float/None): industry deviation limit, set `inds_dev` to None to ignore industry specific
restriction
scale_alpha (bool): if to scale alpha to match the volatility of the covariance matrix
verbose (bool): if print detailed information about the solver
warm_start (str): whether try to warm start (`w0`/`benchmark`/``)
@@ -341,7 +342,7 @@ class EnhancedIndexingOptimizer(BaseOptimizer):
varU: np.ndarray,
w0: np.ndarray,
w_bench: np.ndarray,
inds_onehot: np.ndarray,
inds_onehot: np.ndarray = None,
) -> Union[np.ndarray, pd.Series]:
"""
Args:
@@ -354,6 +355,8 @@ class EnhancedIndexingOptimizer(BaseOptimizer):
Returns:
np.ndarray or pd.Series: optimized portfolio allocation
"""
assert inds_onehot is not None or self.inds_dev is None, "Industry onehot vector is required."
# scale alpha to match volatility
if self.scale_alpha:
u = u / u.std()
@@ -366,15 +369,18 @@ class EnhancedIndexingOptimizer(BaseOptimizer):
risk = cp.quad_form(v, covB) + cp.sum(cp.multiply(varU, w ** 2))
obj = cp.Maximize(ret - self.lamb * risk)
d_bench = w - w_bench
d_inds = d_bench @ inds_onehot
cons = [
w >= 0,
cp.sum(w) == 1,
d_bench >= -self.bench_dev,
d_bench <= self.bench_dev,
d_inds >= -self.inds_dev,
d_inds <= self.inds_dev,
]
if self.inds_dev is not None:
d_inds = d_bench @ inds_onehot
cons.append(d_inds >= -self.inds_dev)
cons.append(d_inds <= self.inds_dev)
if w0 is not None:
turnover = cp.sum(cp.abs(w - w0))
cons.append(turnover <= self.delta)