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Communicating Major Changes
At Moment, we understand that changes to our optimizer can affect how your team plans. While we don’t want to inundate you with every change our team puts out, we aim to provide our customers a meaningful lead time ahead of major material updates—especially those that impact our objective function. We try to reserve email updates for only our major changes, those which may affect your integration or require your attention. For these major changes, we aim to provide at least 30 days notice, though there may be circumstances under which we will need to make expedited changes to our product, as necessary.
If you’d like to stay informed about our future optimizer changes ahead of time, you can subscribe to our update mailing list by emailing us at support@withmoment.com, and we will add you to an appropriate mailing list.

Key Concepts

Portfolio Optimizer

The Optimizer is the core engine behind the Portfolio Optimizer API. It takes three inputs:

The investor's target strategy. Strategies include universe constraints, allocation constraints, average value constraints, and diversification constraints.
The investor's profile. This includes the investor's account ID, state of residence, marginal federal tax rate, and marginal state tax rate.
The investor's current portfolio. If the investor is building a new portfolio, the investor's current portfolio is simply cash.

Based on these inputs and the live, executable quotes available through Moment's EMS, the Optimizer produces a proposed Basket of trades to fill the portfolio in alignment with the target strategy. After the Optimizer has finished running, the API user can submit the proposed Basket for execution via the Execution Management System.

Proposed Orders

The result of running the Optimizer is a set of proposed orders to build or rebalance the investor's profile. When the Optimizer has finished running, the API user can view the proposed orders via the Get Optimization Orders Endpoint. After validating the orders, the user can submit the orders to the Execution Management System via FIX or REST.

Objective function

The Optimizer optimizes for the following: for each account, the primary metric that is being optimized on are tax-adjusted yields subtract the transaction cost. Penalties are also applied to the object for divergences from allocation, diversification, average value, and ladder policy constraints.

Strategies

A Strategy represents the investment strategy that the Optimizer should use to build the investor's portfolio. Every strategy consists of one or more constraints, of which there are four varieties.

Constraints

There are several types of constraints: universe, allocation, average value, diversification, and ladder policy. We'll use this section to elaborate on the purpose of each constraint and provide examples.

Universe Constraints and Buy Universe Constraints

Universe constraints are constraints applied to the entire universe; the generated portfolio must follow all provided universe constraints. For example, if we wanted to generate a portfolio with only municipal bonds graded higher than BBB that mature within the next eight years (assuming an investment date of June 1st, 2024), we would use the following universe constraint:

{
  "type": "universe",
  "filter": {
    "type": {
      "equal_to": "municipal"
    },
    "sp_rating": {
      "greater_than": "BBB"
    },
    "maturity_date": {
      "less_than_or_equal_to": "2032-06-01"
    }
  }
}

Buy universe constraints are constraints applied to the bonds that the account is looking to buy. The only differentiation here is that universe constraints are applied to both the prospective orders and holdings of the account, while buy_universe constraints are applied to just the prospective orders of the account. In addition, buy universe constraints are able to apply filters on order_price and order_ytw.

Allocation Constraints

Allocation constraints specify the optimizer to target a specific weight in the portfolio for bonds that meet pre-specified criteria. An allocation constraint includes a set of filters that define the criteria, as well as a minimum, maximum, and target weight for bonds meeting the criteria. For example, if we wanted to generate a portfolio targeting 70% allocation towards municipals maturing in the 2030s, we would use the following constraint:

{
  "type": "allocation",
  "filter": {
    "type": {
      "equal_to": "municipal"
    },
    "maturity_date": {
      "greater_than_or_equal_to": "2030-01-01",
      "less_than": "2040-01-01"
    }
  },
  "min_weight": 0.60,
  "max_weight": 0.80,
  "target_weight": 0.70
}

We might also want to specify our allocation constraint in terms of market value instead of portfolio weight; to do so, we would instead provide the fields min_market_value, max_market_value, and target_market_value.

Also, note that universe constraints are simply allocation constraints with a minimum weight, maximum weight, and target weight of 1.

Average Value Constraints

Average value constraints allow users to target a specific duration, rating, coupon, or any other field across the portfolio. Average value constraints are applied to the entire generated portfolio, guiding the portfolio towards the specified target_average_value. For example, if we wanted to generate a portfolio with an average S&P rating of "A" and an average coupon of 7:

{
  "type": "average_value",
  "field": "sp_rating",
  "target_average_value": "A",
  "min_average_value": "A-",
  "max_average_value": "AAA+"
},
{
  "type": "average_value",
  "field": "coupon",
  "target_average_value": 7,
  "min_average_value": 5,
  "max_average_value": 9.5
}

Diversification Constraints

Diversification constraints are applied to the entire generated portfolio, requiring that each unique value of a field have no more than a pre-specified weight in the portfolio. For example: if we wanted to generate a portfolio with any instrument taking up at most 5% of the portfolio and with any sector taking up at least 5% and at most 15% of the portfolio:

{
  "type": "diversification",
  "field": "isin",
  "max_weight_per_unique_value": 0.05
},
{
  "type": "diversification",
  "field": "sector",
  "max_weight_per_unique_value": 0.15,
  "min_weight_per_unique_value": 0.05
}

Note that min_weight_per_unique_value is optional, and setting it too high can be detrimental to optimization performance depending on available liquidity.

Similarly to allocation constraints, we might also specify these parameters in terms of market value by setting max_market_value_per_unique_value and min_market_value_per_unique_value.

Ladder Policies

Ladder policies allow us to control the maturity buckets for our portfolio. For example: if we want to generate a 10 year treasury ladder, with an equal distribution of treasuries maturing in each of the next 10 years, we would use the following constraints:

{
  "type": "ladder_policy",
  "period_length": 12, // months
  "start_period": 0,
  "end_period": 10,
  "grace_period_months": 1,
  "weight_tolerance": 0.05
},
{
  "type": "universe",
  "filter": {
    "type": {
      "equal_to": "treasury"
    }
  }
}

The weight_tolerance is a constraint representing how far in either direction each bucket's allocation can deviate from the target equal distribution. Similarly to other constraints, we may specify a market_value_tolerance instead.

Moment supports dynamic ladders, which start on a defined date and automatically transitions to new rungs as old rungs mature. To define the start date, specify the assignment_date at the account level. The rungs will always be set relative to the assignment_date, but dynamically adds the (n+1)th rung depending on the circumstances (where n = number of periods).

When the portfolio optimizer is ran and the current date is less than assignment_date + grace_period_months, the ladder will not be altered. For example, if the assignment_date=2024-01-01 and grace_period_months=3, as long as today <= 2024-04-01, the ladder will be set relative to 2024-01-01.
When the portfolio optimizer is ran and the current date is greater than assignment_date + grace_period_months, the first rung and the (n+1)th rung will be weighted equal to all the other rungs (where n = number of periods). Let's consider a few examples; if the assigment_date=2024-01-01, grace_period_months=3, period_length=12, start_period=0 and end_period=3:
- If today=2024-05-10, then we have the following equally weighted buckets:
  - (2024-05-10 to 2025-01-01) + (2027-01-01 to 2028-01-01)
  - 2025-01-01 to 2026-01-01
  - 2026-01-01 to 2027-01-01
- If today=2030-09-01, then we have the following equally weighted buckets:

As a final note, these date ranges are separated by period_length months apart. For example, when period_length=4 and assignment_date=2025-03-31, the first rung is from 2025-03-31 to 2025-07-31. However, note that if the date does not exist, we go to the nearest date in the same month -- so in this example, the second rung would be from 2025-07-31 to 2025-11-30 (November 31st does not exist).

Under-the-hood, a ladder policy is translated into a universe constraint for the full lifecycle of the ladder, as well as separate allocation constraints representing each of the rungs of the ladder.

Note: constraint priorities

We are able to set constraint_priority on average value, allocation, diversification, and ladder policies! This must take one of the following values: 1, 2, or 3. These constraint priorities determine how strict the constraints are -- for example, a diversification constraint with a constraint_priority of 3 is effectively a hard constraint, meaning the generated portfolio should always turn out a portfolio following the diversification constraint.

{
  "type": "diversification",
  "field": "isin",
  "max_weight_per_unique_value": 0.05,
  "constraint_priority": 3
}

The optimizer will always attempt to generate a portfolio that strictly follows all of the constraints. However, if it is unable to do so, it will begin to relax the constraints, in order of ascending constraint_priority (unless it's equal to 3).

Filters

Both universe constraints and allocation constraints use filters, which are a set of boolean operators that will be all applied. The following operators are available:

greater_than
greater_than_or_equal_to
less_than
less_than_or_equal_to
equal_to
not_equal_to
in_list
not_in_list

These filters can be combined and an instrument must satisfy all of the filters. For example:

{
  ...
  "filter": {
    "coupon": {
      "greater_than_or_equal_to": 5,
      "less_than": 8
    },
    "sp_rating": {
      "in_list": ["A", "AA", "AAA"]
    },
    "duration": {
      "greater_than": 4.5
    },
    "type": {
      "not_in_list": ["corporate"]
    }
  } 
  ...
}

This will restrict the universe to bonds with a coupon between 5 and 8 (not inclusive of 8), and an S&P rating that is either "A", "AA", or "AAA", and a duration greater than 4.5, and we exclude corporate bonds.

The available fields to filter on, includes all reference data fields, such as sp_rating, duration, coupon, maturity_date, issuer, sector, and more.

Finally, we also allow for a combinations of or filters to be applied; meaning we will filter for orders that satisfy any of the or conditions. For example:

{
	...
  "filter": {
  	"or": [
      {
        "coupon": {
        	"greater_than_or_equal_to": 5,
          "less_than": 8
        }
      },
      {
      	"sp_rating": {
        	"in_list": ["A", "AA", "AAA"]
        }
      },
      {
      	"or_list": [
          {
          	"duration": {
            	"greater_than": 4.5
            },
            "type": {
            	"in_list": ["corporate"]
            }
          },
          {
          	"type": {
            	"not_in_list": ["corporate"]
            },
            "order_ytw": {
            	"greater_than_or_equal_to": 5.0
            }
          }
        ],
        "sp_rating": {
        	"less_than": "A"
        }
      }
    ]
  }
}

This will filter for one of the following:

Bonds with a coupon greater than or equal to 5, and less than 8.
Bonds with an S&P rating that is either "A", "AA", or "AAA".
Bonds with an S&P rating that is less than "A", and is either:
- A corporate bond, with duration greater than 4.5.
- A non-corporate bond, with an order yield-to-worst greater than or equal to 5.

Support has also been added for and and not filters, which are other conditional operators that can be applied for the bonds.

Filter Fields

Available Reference Data Fields

Users of the API can create filters using any of the following reference data fields: • accrued_interest • ai_issuer • bank_qualified • bond_warrant • call_frequency • call_notification_convention • call_notification_max • call_notification_min • call_type • callable • close_price • close_price_asof • close_ytw • continuously_callable_flag • convertible • country_domicile • country_issue • coupon • coupon_frequency • coupon_type • currency • cusip • dated_date • daycount • description • description_short • duration • fdic_insured • first_coupon_date • has_extraordinary_call • insured • is_144a • isin • issue_date • issue_minimum • issue_price • issue_size • issuer • last_coupon_date • liquidity_institutional_aggregate • liquidity_institutional_buy • liquidity_institutional_sell • liquidity_micro_aggregate • liquidity_micro_buy • liquidity_micro_sell • liquidity_retail_aggregate • liquidity_retail_buy • liquidity_retail_sell • maturity_date • municipal_state • municipal_taxable_federal • municipal_type • next_call_date • next_call_price • next_coupon_date • par_value • perpetual • private_placement • purpose • puttable • reg_s • sector • security_code • seniority • settlement_convention • sinking_fund • sp_creditwatch • sp_creditwatch_date • sp_outlook • sp_outlook_date • sp_rating • sp_rating_date • status • ticker • trace_eligible • treasury_subtype • type • updated_at • use_of_proceeds • is_amt_applicable • is_state_tax_applicable

Available Quote Fields

Users can also create buy_universe filters using quote-related fields, including:

• order_price • order_ytw • tax_effective_limit_ytw • fixed_transaction_cost_in_price • fixed_transaction_cost_in_yield

Cash raise requests

A cash raise request in an optional field on an account, allowing for the account to generate a certain amount of cash from their existing holdings. This requests contains two required fields: raise_strategy and min_raise_amount.

raise_strategy: Currently, there is only a single allowed raise_strategy -- maintain_compliance. This means that cash will be raised, while maintaining the rest of the holdings in compliance with the existing constraints on the account.
min_raise_amount: This will be the minimum required cash required from the account. Note that this is also taking the existing cash within the account's holdings into account -- for example, if the min_raise_amount=10000 and the account already has cash holdings of 50000, it is possible that no sales will be generated; instead, at most 40000 of the account's cash holdings will be invested, with the rest satisfying the cash raise request.

Important: cash raise requests are hard requirements. If the optimizer cannot generated the requested amount of cash while maintaining compliance, no orders will be generated at all.

Examples

0-5 Year Treasury Ladder (using a ladder policy)

{
  "accounts": [
    {
      "account_id": "0",
      "federal_tax_rate": 0.37,
      "state_tax_rate": 0.0,
      "cash": 1000000.0,
      "state": "FL",
      "holdings": [],
      "risk_group_id": null,
      "strategy": {
        "schema_version": 1,
        "constraints": [
          {
            "type": "universe",
            "filter": {
              "treasury_subtype": {
                "in_list": ["bill", "note", "bond"]
              }
            }
          },
          {
            "type": "diversification",
            "field": "isin",
            "min_weight_per_unique_value": 0.05,
            "max_weight_per_unique_value": 0.1
          },
          {
            "type": "ladder_policy",
            "period_length": 12, // months,
            "start_period": 0,
            "end_period": 5,
            "weight_tolerance": 0.05
          }
        ],
        "cash_buffer": 0
      }
    }
  ]
}

0-5 Year Treasury Ladder (without using a ladder policy)

{
  "accounts": [
    {
      "account_id": "0",
      "federal_tax_rate": 0.37,
      "state_tax_rate": 0.0,
      "cash": 1000000.0,
      "state": "FL",
      "holdings": [],
      "risk_group_id": null,
      "strategy": {
        "schema_version": 1,
        "constraints": [
          {
            "type": "universe",
            "filter": {
              "treasury_subtype": {
                "in_list": ["bill", "note", "bond"]
              }
            }
          },
          {
            "type": "diversification",
            "field": "isin",
            "min_weight_per_unique_value": 0.05,
            "max_weight_per_unique_value": 0.1
          },
          {
            "type": "allocation",
            "filter": {
              "maturity_date": {
                "greater_than": "2025-01-27",
                "less_than_or_equal_to": "2025-07-27"
              }
            },
            "min_weight": 0.19,
            "target_weight": 0.2,
            "max_weight": 0.21
          },
          {
            "type": "allocation",
            "filter": {
              "maturity_date": {
                "greater_than": "2025-07-27",
                "less_than_or_equal_to": "2026-07-27"
              }
            },
            "min_weight": 0.19,
            "target_weight": 0.2,
            "max_weight": 0.21
          },
          {
            "type": "allocation",
            "filter": {
              "maturity_date": {
                "greater_than": "2026-07-27",
                "less_than_or_equal_to": "2027-07-27"
              }
            },
            "min_weight": 0.19,
            "target_weight": 0.2,
            "max_weight": 0.21
          },
          {
            "type": "allocation",
            "filter": {
              "maturity_date": {
                "greater_than": "2027-07-27",
                "less_than_or_equal_to": "2028-07-27"
              }
            },
            "min_weight": 0.19,
            "target_weight": 0.2,
            "max_weight": 0.21
          },
          {
            "type": "allocation",
            "filter": {
              "maturity_date": {
                "greater_than": "2028-07-27",
                "less_than_or_equal_to": "2029-07-27"
              }
            },
            "min_weight": 0.19,
            "target_weight": 0.2,
            "max_weight": 0.21
          }
        ],
        "cash_buffer": 0
      }
    }
  ]
}