valuation_international
International Valuation
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Cross-border adjustments: purchasing-power parity, country risk premium, and international CAPM. Method selects the adjustment. Use for cross-border cash flows and country risk; pair with valuation_capm and valuation_time_value. Parameters apply per method: ppp needs spot_rate + inflation_foreign + inflation_domestic; country_risk_premium needs sovereign_yield + us_treasury_yield; intl_capm needs risk_free_rate + beta + mrp + crp. Not for the domestic cost of equity — for that use valuation_capm. Only method is required; all other parameters are method-dependent, so supply those the selected method names and omit the rest (defaults apply where defined). Rate and decimal inputs are fractions (0.10 = 10%); probability and weight lists are in [0,1] and sum to 1. Returns value, method, inputs, assumptions, chapter, formula_number and calculation steps; pure arithmetic — no I/O and no external calls — rounded to 2 decimals, with no auth or rate limits. An unknown method, or a missing method-required parameter, returns an error instead of a value.
Input schema
| Property | Type | Required | Description |
|---|---|---|---|
| method | string | yes | Formula to apply. Options: ppp = Eₜ = E₀·(1+π_foreign)/(1+π_domestic).; country_risk_premium = CRP = sovereign yield - US Treasury yield.; intl_capm = r = Rf + β·MRP + CRP. |
| spot_rate | number | no | Spot FX rate (domestic per foreign), e.g. 7.2 CNY/USD. |
| inflation_foreign | number | no | Foreign inflation rate as a decimal. |
| inflation_domestic | number | no | Domestic inflation rate as a decimal. |
| sovereign_yield | number | no | Foreign sovereign bond yield as a decimal. |
| us_treasury_yield | number | no | US Treasury yield as a decimal. |
| risk_free_rate | number | no | Risk-free rate as a decimal (e.g. 0.04 for 4%). |
| beta | number | no | Systematic risk beta (market = 1.0). |
| mrp | number | no | Market risk premium as a decimal. |
| crp | number | no | Country risk premium as a decimal. |
Raw JSON schema
{
"type": "object",
"properties": {
"method": {
"type": "string",
"enum": [
"ppp",
"country_risk_premium",
"intl_capm"
],
"description": "Formula to apply. Options: ppp = Eₜ = E₀·(1+π_foreign)/(1+π_domestic).; country_risk_premium = CRP = sovereign yield - US Treasury yield.; intl_capm = r = Rf + β·MRP + CRP."
},
"spot_rate": {
"type": "number",
"description": "Spot FX rate (domestic per foreign), e.g. 7.2 CNY/USD."
},
"inflation_foreign": {
"type": "number",
"description": "Foreign inflation rate as a decimal."
},
"inflation_domestic": {
"type": "number",
"description": "Domestic inflation rate as a decimal."
},
"sovereign_yield": {
"type": "number",
"description": "Foreign sovereign bond yield as a decimal."
},
"us_treasury_yield": {
"type": "number",
"description": "US Treasury yield as a decimal."
},
"risk_free_rate": {
"type": "number",
"description": "Risk-free rate as a decimal (e.g. 0.04 for 4%)."
},
"beta": {
"type": "number",
"description": "Systematic risk beta (market = 1.0)."
},
"mrp": {
"type": "number",
"description": "Market risk premium as a decimal."
},
"crp": {
"type": "number",
"description": "Country risk premium as a decimal."
}
},
"required": [
"method"
]
}