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Rahul D Sarker: Marketing & RevOps Tools

Freemium to Paid Pipeline Modeler

freemium_to_paid_pipeline_modeler
Read-onlyIdempotent

Model monthly and annual new ARR from a freemium funnel, and the ARR still lagging in the upgrade pipeline. See the full version at https://rahuldsarker.co/calculators/freemium-to-paid-pipeline-modeler

Input Schema

NameRequiredDescriptionDefault
paidAcvYesAnnual contract value once a user converts to paid
currencyNoISO 4217 code for money in the result, e.g. "USD", "INR", "EUR", "GBP". Omit to show plain numbers.
monthlySignupsYesFree signups per month
conversionRatePctYesFree-to-paid conversion rate, as a percentage
timeToUpgradeMonthsYesAverage time to upgrade, in months

Output Schema

NameRequiredDescriptionDefault
urlYes
kindYes
toolYesThe calculator tool that produced this result
notesYes
titleYes
inputsYes
compactYes
metricsYesEvery "Label: value" line of the result; value is the first number on the line
currencyYes
benchmarksYesRule-of-thumb verdicts for the headline numbers
bookingUrlYes
calculatorYesSlug of the interactive calculator on rahuldsarker.co

Schema Changelog

Changes observed during successful MCP inspections.

  1. Changed2 schema fields changed
    • addedInput schema / properties / currency
      Added value: +{
      +  "description": "ISO 4217 code for money in the result, e.g. \"USD\", \"INR\", \"EUR\", \"GBP\". Omit to show plain numbers.",
      +  "pattern": "^[A-Za-z]{3}$",
      +  "type": "string"
      +}
    • changedOutput schema / (root)
      Previous value: -nullNew value: +{
      +  "$schema": "https://json-schema.org/draft/2020-12/schema",
      +  "additionalProperties": false,
      +  "properties": {
      +    "benchmarks": {
      +      "description": "Rule-of-thumb verdicts for the headline numbers",
      +      "items": {
      +        "additionalProperties": false,
      +        "properties": {
      +          "band": {
      +            "type": "string"
      +          },
      +          "display": {
      +            "type": "string"
      +          },
      +          "metric": {
      +            "type": "string"
      +          },
      +          "name": {
      +            "type": "string"
      +          },
      +          "read": {
      +            "type": "string"
      +          },
      +          "segment": {
      +            "type": [
      +              "string",
      +              "null"
      +            ]
      +          },
      +          "source": {
      +            "type": "string"
      +          },
      +          "target": {
      +            "type": "string"
      +          },
      +          "tone": {
      +            "enum": [
      +              "good",
      +              "ok",
      +              "warn",
      +              "bad"
      +            ],
      +            "type": "string"
      +          },
      +          "value": {
      +            "type": "number"
      +          }
      +        },
      +        "required": [
      +          "metric",
      +          "name",
      +          "value",
      +          "display",
      +          "band",
      +          "tone",
      +          "read",
      +          "target",
      +          "segment",
      +          "source"
      +        ],
      +        "type": "object"
      +      },
      +      "type": "array"
      +    },
      +    "bookingUrl": {
      +      "type": "string"
      +    },
      +    "calculator": {
      +      "description": "Slug of the interactive calculator on rahuldsarker.co",
      +      "type": "string"
      +    },
      +    "compact": {
      +      "type": "boolean"
      +    },
      +    "currency": {
      +      "type": [
      +        "string",
      +        "null"
      +      ]
      +    },
      +    "inputs": {
      +      "additionalProperties": {},
      +      "propertyNames": {
      +        "type": "string"
      +      },
      +      "type": "object"
      +    },
      +    "kind": {
      +      "const": "calculator",
      +      "type": "string"
      +    },
      +    "metrics": {
      +      "description": "Every \"Label: value\" line of the result; value is the first number on the line",
      +      "items": {
      +        "additionalProperties": false,
      +        "properties": {
      +          "display": {
      +            "type": "string"
      +          },
      +          "label": {
      +            "type": "string"
      +          },
      +          "unit": {
      +            "anyOf": [
      +              {
      +                "enum": [
      +                  "currency",
      +                  "x",
      +                  "%",
      +                  "months"
      +                ],
      +                "type": "string"
      +              },
      +              {
      +                "type": "null"
      +              }
      +            ]
      +          },
      +          "value": {
      +            "type": [
      +              "number",
      +              "null"
      +            ]
      +          }
      +        },
      +        "required": [
      +          "label",
      +          "value",
      +          "unit",
      +          "display"
      +        ],
      +        "type": "object"
      +      },
      +      "type": "array"
      +    },
      +    "notes": {
      +      "items": {
      +        "type": "string"
      +      },
      +      "type": "array"
      +    },
      +    "title": {
      +      "type": "string"
      +    },
      +    "tool": {
      +      "description": "The calculator tool that produced this result",
      +      "type": "string"
      +    },
      +    "url": {
      +      "type": "string"
      +    }
      +  },
      +  "required": [
      +    "kind",
      +    "tool",
      +    "title",
      +    "calculator",
      +    "url",
      +    "bookingUrl",
      +    "currency",
      +    "compact",
      +    "inputs",
      +    "metrics",
      +    "notes",
      +    "benchmarks"
      +  ],
      +  "type": "object"
      +}
  2. First observed

TDQS

B3.2/5.0
Behavior3/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

Annotations already declare readOnlyHint=true, idempotentHint=true, destructiveHint=false and openWorldHint=false, so the safety profile is fully covered. The description adds the substantive point that the model outputs both new ARR and the lagging upgrade-pipeline ARR, but says nothing about assumptions, rounding, or time horizon. With annotations doing the heavy lifting, this is an adequate 3.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness4/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The modeling scope is front-loaded in the first sentence with no filler. The second sentence is a promotional URL that serves the human reader rather than the agent, slightly weakening an otherwise tight definition.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness4/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

An output schema exists, so return values need not be explained, and the four required inputs plus optional currency are fully described in the schema. Combined with the rich safety annotations, the description covers enough for correct invocation, missing only any statement of modeling assumptions or horizon.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters3/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema description coverage is 100%, so all five parameters (including currency and its ISO 4217 pattern) are already documented in the schema. The description adds no syntax, units, or edge-case detail beyond what the schema provides, so the baseline 3 applies.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

States a specific verb ('Model') and resource ('monthly and annual new ARR from a freemium funnel'), and adds the second output dimension ('ARR still lagging in the upgrade pipeline'). This distinguishes it from adjacent siblings like mrr_to_arr_calculator or ltv_growth_multiplier_simulator, though it never names an alternative explicitly.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines2/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

There is no guidance on when to use this versus sibling calculators (e.g. saas_magic_number_calculator, product_led_growth_feasibility_grader), nor any prerequisite or exclusion. The only extra content is a promotional link to the web calculator, which does not help an agent decide.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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