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Rahul D Sarker: Marketing & RevOps Tools

LTV Growth Multiplier Simulator

ltv_growth_multiplier_simulator
Read-onlyIdempotent

Show how much gross-margin LTV grows when monthly churn improves, using LTV = ARPA x gross margin / monthly churn. See the full version at https://rahuldsarker.co/calculators/ltv-growth-multiplier-simulator

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
arpaYesMonthly revenue per account (ARPA)
currencyNoISO 4217 code for money in the result, e.g. "USD", "INR", "EUR", "GBP". Omit to show plain numbers.
grossMarginPctYesGross margin, as a percentage
currentChurnPctYesCurrent monthly churn, as a percentage
improvedChurnPctYesImproved monthly churn, as a percentage

Output Schema

TableJSON 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

B3.1/5.0
Behavior3/5

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

Annotations already declare readOnly, idempotent, non-destructive, and closed-world behavior, so the safety profile is covered. The description adds useful context by disclosing the exact computation model (LTV = ARPA x gross margin / monthly churn), but says nothing about units handling, edge cases like zero churn, or output shape beyond what the output schema provides.

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

Conciseness3/5

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

The first sentence is tight and front-loaded with the core purpose and formula. However, roughly a third of the text is a promotional outbound link to an external page rather than tool guidance, which dilutes conciseness.

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

Completeness3/5

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

With an output schema present, return values need not be explained, and the formula gives the agent the model behind the calculation. Still missing is any routing guidance among the many sibling calculators and any note on percentage vs. decimal input conventions, which leaves the definition merely adequate for a 5-parameter tool.

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 the optional currency) are already documented in the schema; baseline is 3. The formula in the description corroborates how arpa, grossMarginPct, and churn are used, but adds no syntax or constraint detail beyond the schema.

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 and resource ('Show how much gross-margin LTV grows when monthly churn improves') and even names the formula, so the agent knows precisely what is computed. It does not, however, contrast itself with nearby siblings such as ltv_cac_calculator or saas_churn_cohort_visualizer, so sibling differentiation is left to inference.

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 explicit when-to-use, when-not-to-use, or alternative-tool guidance. The formula implies a churn-improvement scenario, but the agent must guess when this is preferable to the other churn/LTV tools in the catalog.

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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