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Riferimento dei metodi

Ogni metodo è disponibile con lo stesso identificativo e gli stessi input da Python (fm.run), dalla CLI (fairmark run), via MCP e function calling (nome del tool fairmark_<id con underscore>). I decimali si passano come numeri JSON o stringhe e sono restituiti come stringhe. Le descrizioni dei campi provengono dal codice sorgente e sono in inglese.

dates.year_fraction

Year fraction (day count) · versione del metodo 1 · tool fairmark_dates_year_fraction

Fraction of a year between two dates under an ISDA 2006 day-count convention: Actual/365 Fixed, Actual/360, Actual/Actual ISDA, 30/360, 30E/360.

Input Tipo Obbligatorio Default Descrizione
start string sì Start date (ISO 8601).
end string sì End date (ISO 8601), not earlier than the start date.
day_count act_365_fixed | act_360 | act_act_isda | thirty_360 | thirty_e_360 sì Day-count convention.

rates.convert

Rate conversion between compounding conventions · versione del metodo 1 · tool fairmark_rates_convert

Equivalent annual rate under another compounding (annual, semi-annual, quarterly, monthly, continuous).

Input Tipo Obbligatorio Default Descrizione
rate decimale sì Annual rate as a decimal fraction (0.12 = 12% a year), quoted with from compounding.
from annual | semi_annual | quarterly | monthly | continuous sì Compounding of the given rate.
to annual | semi_annual | quarterly | monthly | continuous sì Compounding of the equivalent rate to return.

rates.real_nominal

Real and nominal rates (Fisher) · versione del metodo 1 · tool fairmark_rates_real_nominal

Converts a nominal rate to a real rate, or the reverse, with the exact Fisher relation.

Input Tipo Obbligatorio Default Descrizione
rate decimale sì Rate to convert, decimal fraction per period (0.08 = 8%).
inflation decimale sì Inflation over the same period, decimal fraction (0.03 = 3%).
direction to_real | to_nominal sì to_real or to_nominal.

tvm.npv

Net present value · versione del metodo 2 · tool fairmark_tvm_npv

Net present value of a cash flow series; the first flow is at t = 0.

Input Tipo Obbligatorio Default Descrizione
rate decimale sì Discount rate per period as a decimal fraction (0.10 = 10%).
cash_flows lista di decimale sì Cash flows; the first one occurs at t = 0 (no discounting).

tvm.present_value

Present value with a constant or time-varying rate · versione del metodo 1 · tool fairmark_tvm_present_value

Present value of periodic flows for periods 1..n with one rate or one rate per period, at end, mid or beginning of period. Returns every discount factor.

Input Tipo Obbligatorio Default Descrizione
cash_flows lista di decimale sì Cash flows of periods 1, 2, ..., n, in currency units.
rate decimale no One discount rate for every period, decimal fraction per period. Give exactly one of rate and period_rates.
period_rates array | null no One discount rate per period (forward period rates, decimal fractions), exactly one per cash flow.
timing end_of_period | mid_period | beginning_of_period sì When flows occur within each period.

tvm.xnpv

Net present value of dated cash flows (XNPV) · versione del metodo 1 · tool fairmark_tvm_xnpv

Present value of dated flows at a valuation date, with explicit day count and compounding (defaults as in ECMA-376 XNPV).

Input Tipo Obbligatorio Default Descrizione
rate decimale sì Annual discount rate, decimal fraction (0.09 = 9%), quoted with compounding.
cash_flows lista di object sì Dated cash flows, in any order.
valuation_date no Date at which the value is computed. Default: the earliest flow date (ECMA-376 XNPV).
day_count no Day count for the time between dates. Default: act_365_fixed (ECMA-376 XNPV).
compounding no Compounding of rate. Default: annual (ECMA-376 XNPV).

tvm.irr

Internal rate of return · versione del metodo 2 · tool fairmark_tvm_irr

Rate at which the NPV of a periodic cash flow series is zero, solved deterministically; refuses inputs with more than one IRR.

Input Tipo Obbligatorio Default Descrizione
cash_flows lista di decimale sì Cash flows; the first one occurs at t = 0. Needs at least one sign change.
guess decimale no Starting point for Newton's method, decimal fraction per period. Default: 0.10.

tvm.xirr

Internal rate of return of dated cash flows (XIRR) · versione del metodo 1 · tool fairmark_tvm_xirr

Annual rate at which the XNPV of dated flows is zero, solved deterministically; refuses inputs with more than one rate.

Input Tipo Obbligatorio Default Descrizione
cash_flows lista di object sì Dated cash flows, in any order; at least one positive and one negative amount.
day_count no Day count for the time between dates. Default: act_365_fixed (ECMA-376 XIRR).
compounding no Compounding of the returned rate. Default: annual (ECMA-376 XIRR).
guess decimale no Starting point for Newton's method, annual decimal fraction. Default: 0.10 (ECMA-376 XIRR).

tvm.mirr

Modified internal rate of return (MIRR) · versione del metodo 1 · tool fairmark_tvm_mirr

Rate of return with negative flows financed at a finance rate and positive flows reinvested at a reinvestment rate (ECMA-376 MIRR).

Input Tipo Obbligatorio Default Descrizione
cash_flows lista di decimale sì Periodic cash flows; the first one occurs at t = 0. At least one positive and one negative.
finance_rate decimale sì Rate paid on the money invested (applied to negative flows), decimal fraction per period.
reinvest_rate decimale sì Rate earned on reinvested positive flows, decimal fraction per period.

tvm.annuity

Annuity (level or growing, ordinary or due) · versione del metodo 1 · tool fairmark_tvm_annuity

Present and future value of a finite series of level or growing payments.

Input Tipo Obbligatorio Default Descrizione
payment decimale sì First payment, in currency units.
rate decimale sì Discount rate per period, decimal fraction.
periods integer sì Number of payments, from 1 to 10000.
growth decimale no Growth of the payment per period, decimal fraction. Default: 0 (level annuity).
timing ordinary | due sì ordinary (end of period) or due (beginning of period).

tvm.perpetuity

Perpetuity (level or growing) · versione del metodo 1 · tool fairmark_tvm_perpetuity

Present value of a level or growing perpetuity (Gordon), ordinary or due.

Input Tipo Obbligatorio Default Descrizione
payment decimale sì First payment, in currency units.
rate decimale sì Discount rate per period, decimal fraction; must exceed growth.
growth decimale no Growth of the payment per period, decimal fraction, greater than -1. Default: 0 (level perpetuity).
timing ordinary | due sì ordinary (first payment at t = 1) or due (first payment at t = 0).

tvm.future_value

Future value of a present amount and level payments · versione del metodo 1 · tool fairmark_tvm_future_value

Value at the end of n periods of a present amount and a level series of payments, ordinary or due, at a rate per period.

Input Tipo Obbligatorio Default Descrizione
present_value decimale no Amount at t = 0, in currency units, accumulated to t = n. Default: 0. Give at least one of present_value and payment.
payment decimale no Level payment of every period, in currency units. Default: 0. An amount of the same sign as the present value accumulates in the same direction; a negative amount is a withdrawal.
rate decimale sì Rate per period, decimal fraction (0.01 = 1% per period). No annual-rate conversion: for an annual rate, convert it first (rates.convert) and divide by the periods per year.
periods integer sì Number of periods, from 1 to 10000.
timing ordinary | due sì ordinary (payments at the end of each period) or due (at the beginning).

loans.instalment

Loan instalment (constant instalment, optional balloon) · versione del metodo 1 · tool fairmark_loans_instalment

Constant instalment of a loan from its principal, rate, number of instalments and timing, with an optional balloon amount and an explicit rounding.

Input Tipo Obbligatorio Default Descrizione
principal decimale sì Amount borrowed, in currency units, greater than zero.
rate decimale no Annual borrowing rate, decimal fraction (0.05 = 5% a year), quoted with compounding. Rate form (a): give it with compounding and payment_frequency, or give periodic_rate instead.
compounding no Compounding of rate (form a); required with rate, no default.
payment_frequency no Instalments per year (form a): annual, semi_annual, quarterly or monthly.
periodic_rate decimale no Rate per payment period, decimal fraction (form b), greater than -1; instead of rate, compounding and payment_frequency.
number_of_instalments integer sì Number of instalments, from 1 to 10000.
timing ordinary | due sì ordinary (in arrears: instalment k at the end of period k) or due (in advance: at the beginning of period k).
balloon_amount decimale no Amount repaid at the end of the last period on top of the last instalment, in currency units, at least 0 and lower than the principal. Default: 0.
rounding no Rounding of the instalment. Default: none (no rounding).

loans.number_of_instalments

Number of instalments of a loan · versione del metodo 1 · tool fairmark_loans_number_of_instalments

Number of instalments needed to repay a loan with a given instalment, the exact number of periods and the final instalment.

Input Tipo Obbligatorio Default Descrizione
principal decimale sì Amount borrowed, in currency units, greater than zero.
rate decimale no Annual borrowing rate, decimal fraction (0.05 = 5% a year), quoted with compounding. Rate form (a): give it with compounding and payment_frequency, or give periodic_rate instead.
compounding no Compounding of rate (form a); required with rate, no default.
payment_frequency no Instalments per year (form a): annual, semi_annual, quarterly or monthly.
periodic_rate decimale no Rate per payment period, decimal fraction (form b), greater than -1; instead of rate, compounding and payment_frequency.
instalment decimale sì Constant instalment, in currency units; it must exceed the interest of the first period.
timing ordinary | due sì ordinary (in arrears: instalment k at the end of period k) or due (in advance: at the beginning of period k).

loans.amortisation_schedule

Amortisation schedule (French, constant principal, bullet) · versione del metodo 1 · tool fairmark_loans_amortisation_schedule

Period-by-period schedule of a loan with instalment, interest portion, principal portion and outstanding balance; French, fixed amortisation schedule or bullet, with an optional grace period, balloon amount and rounding.

Input Tipo Obbligatorio Default Descrizione
principal decimale sì Amount borrowed, in currency units, greater than zero.
rate decimale no Annual borrowing rate, decimal fraction (0.05 = 5% a year), quoted with compounding. Rate form (a): give it with compounding and payment_frequency, or give periodic_rate instead.
compounding no Compounding of rate (form a); required with rate, no default.
payment_frequency no Instalments per year (form a): annual, semi_annual, quarterly or monthly.
periodic_rate decimale no Rate per payment period, decimal fraction (form b), greater than -1; instead of rate, compounding and payment_frequency.
number_of_instalments integer sì Number of instalments over the full term, grace periods included, from 1 to 10000.
timing ordinary | due sì ordinary (in arrears: instalment k at the end of period k, time k). Version 1 accepts only ordinary; due is refused with FM-E001.
amortisation_type french | fixed_amortisation_schedule | bullet sì french (constant instalment), fixed_amortisation_schedule (constant principal portion) or bullet (principal repaid with the last instalment).
principal_grace_periods integer | null no Number of interest-only periods at the start, lower than number_of_instalments. Default: 0. Not accepted with bullet.
balloon_amount decimale no Principal repaid with the last instalment on top of the amortised amount, in currency units, at least 0 and lower than the principal. Default: 0. Not accepted with bullet.
rounding no Rounding of the amount the schedule type keeps constant: the instalment (french) or the principal portion (fixed_amortisation_schedule). Interest is never rounded. Default: none (no rounding).

coc.cost_of_equity

Cost of equity (CAPM with explicit premia) · versione del metodo 1 · tool fairmark_coc_cost_of_equity

Cost of equity from risk-free rate, levered or relevered beta and equity risk premium, plus optional country, size and specific premia, each reported.

Input Tipo Obbligatorio Default Descrizione
risk_free_rate decimale sì Risk-free rate, annual decimal fraction.
equity_risk_premium decimale sì Equity risk premium of the market, annual decimal fraction.
levered_beta decimale no Levered beta, dimensionless. Give exactly one of levered_beta and relever.
relever no Unlevered beta and target structure to relever. Give exactly one of levered_beta and relever.
country_risk_premium decimale no Country risk premium, annual decimal fraction, not negative. Default: 0.
country_exposure decimale no Exposure of the company to the country risk (lambda), dimensionless, not negative. Default: 1.
size_premium decimale no Size premium, annual decimal fraction. Default: 0.
specific_risk_premium decimale no Company-specific risk premium, annual decimal fraction. Default: 0. When not zero, specific_risk_justification is required.
specific_risk_justification string | null no Written reason for the specific risk premium, echoed in the audit trail.

coc.beta_relever

Beta unlevering and relevering · versione del metodo 1 · tool fairmark_coc_beta_relever

Converts an unlevered beta to a levered beta at a target D/E, or the reverse, with the Hamada or Harris-Pringle formula and an optional debt beta.

Input Tipo Obbligatorio Default Descrizione
beta decimale sì Beta to convert (unlevered for relever, levered for unlever), dimensionless.
direction relever | unlever sì relever or unlever.
debt_to_equity decimale sì Debt-to-equity ratio D/E, decimal (0.5 = debt equal to half of equity), not negative.
tax_rate decimale sì Tax rate of the tax shield, decimal fraction from 0 to below 1.
formula hamada | harris_pringle sì hamada or harris_pringle.
debt_beta decimale no Beta of debt, dimensionless. Default: 0 (risk-free debt).

coc.beta_peers

Beta from comparable companies · versione del metodo 1 · tool fairmark_coc_beta_peers

Unlevers the betas of comparable companies, takes the mean or median and relevers it to the target capital structure.

Input Tipo Obbligatorio Default Descrizione
peers lista di object sì Comparable companies, at least one.
formula hamada | harris_pringle sì hamada or harris_pringle, used to unlever and to relever.
statistic mean | median sì mean or median of the unlevered betas.
target_debt_to_equity decimale sì Target debt-to-equity ratio D/E of the company being valued, decimal, not negative.
target_tax_rate decimale sì Tax rate of the company being valued, decimal fraction from 0 to below 1.
debt_beta decimale no Beta of debt, dimensionless, for peers and target. Default: 0 (risk-free debt).

coc.cost_of_debt

Cost of debt · versione del metodo 1 · tool fairmark_coc_cost_of_debt

Pre-tax cost of debt, given or as risk-free rate plus credit spread, and the after-tax cost of debt.

Input Tipo Obbligatorio Default Descrizione
pre_tax_cost_of_debt decimale no Pre-tax cost of debt, annual decimal fraction. Give either this, or risk_free_rate and credit_spread.
risk_free_rate decimale no Risk-free rate, annual decimal fraction (with credit_spread).
credit_spread decimale no Credit spread over the risk-free rate, annual decimal fraction (with risk_free_rate).
tax_rate decimale sì Tax rate of the tax shield, decimal fraction from 0 to below 1.

coc.wacc

Weighted average cost of capital (WACC) · versione del metodo 1 · tool fairmark_coc_wacc

WACC from cost of equity, cost of debt, tax rate and target weights (D/E or D/(D+E)).

Input Tipo Obbligatorio Default Descrizione
cost_of_equity decimale sì Cost of equity, annual decimal fraction.
pre_tax_cost_of_debt decimale sì Pre-tax cost of debt, annual decimal fraction.
tax_rate decimale sì Tax rate of the tax shield, decimal fraction from 0 to below 1.
debt_to_equity decimale no Target debt-to-equity ratio D/E, decimal, not negative. Give exactly one of debt_to_equity and debt_weight.
debt_weight decimale no Target weight of debt D/(D + E), decimal fraction from 0 to below 1. Give exactly one of debt_to_equity and debt_weight.

tv.gordon

Terminal value, stable growth (Gordon) · versione del metodo 1 · tool fairmark_tv_gordon

Terminal value at the horizon N of a flow growing at g forever, CF_{N+1} / (r − g), from the next flow or the last flow grown by g; not discounted.

Input Tipo Obbligatorio Default Descrizione
rate decimale sì Discount rate of the terminal phase, decimal fraction per period; must exceed growth. It may differ from the rate of the explicit phase.
growth decimale sì Perpetual growth of the flow, decimal fraction per period, greater than -1 and below rate.
next_flow decimale no Flow of the first period after the horizon, CF_{N+1}, in currency units (for example a normalised flow). Give this or last_flow, not both.
last_flow decimale no Flow of the last explicit period, CF_N, in currency units; grown by growth to CF_{N+1}. Give this or next_flow, not both.
growth_cap decimale no Upper bound for the perpetual growth, decimal fraction per period (for example the risk-free rate or the nominal growth of the economy). Default: none, reported as absent. A growth above the cap is reported, not refused.

tv.value_driver

Terminal value, value driver (growth from reinvestment) · versione del metodo 1 · tool fairmark_tv_value_driver

Terminal value at the horizon N with growth earned by reinvesting g / RONIC of NOPAT: NOPAT_{N+1} × (1 − g / RONIC) / (r − g); reports the reinvestment rate and whether growth creates value.

Input Tipo Obbligatorio Default Descrizione
nopat_next decimale sì Net operating profit after tax of the first period after the horizon, NOPAT_{N+1}, in currency units.
growth decimale sì Perpetual growth, decimal fraction per period, greater than -1 and below rate.
ronic decimale sì Return on new invested capital (RONIC), decimal fraction per period, greater than 0.
rate decimale sì Discount rate of the terminal phase, decimal fraction per period; must exceed growth.
growth_cap decimale no Upper bound for the perpetual growth, decimal fraction per period. Default: none, reported as absent. A growth above the cap is reported, not refused.

tv.h_model

Terminal value, H-model (declining growth) · versione del metodo 1 · tool fairmark_tv_h_model

Terminal value at the horizon N when growth declines linearly from g_s to g_l over 2H periods: CF_N × [(1 + g_l) + H × (g_s − g_l)] / (r − g_l), an approximation.

Input Tipo Obbligatorio Default Descrizione
last_flow decimale sì Flow of the last explicit period, CF_N, in currency units.
short_term_growth decimale sì Growth at the start of the decline, g_s, decimal fraction per period, greater than -1.
long_term_growth decimale sì Stable growth reached after 2H periods and kept forever, g_l, decimal fraction per period, greater than -1 and below rate.
half_life decimale sì Half-life H, in periods: the decline from g_s to g_l lasts 2H periods. Zero or positive; may be fractional.
rate decimale sì Discount rate of the terminal phase, decimal fraction per period; must exceed long_term_growth.
growth_cap decimale no Upper bound for the long-term growth, decimal fraction per period. Default: none, reported as absent. A growth above the cap is reported, not refused.

tv.exit_multiple

Terminal value, exit multiple · versione del metodo 1 · tool fairmark_tv_exit_multiple

Terminal value at the horizon N as a multiple of EBITDA, EBIT, revenue (enterprise basis), earnings or book value of equity (equity basis); with a rate and the next flow, reports the implied perpetual growth.

Input Tipo Obbligatorio Default Descrizione
multiple decimale sì The multiple, a pure number greater than 0 (for example 8 for 8 × EBITDA).
metric ebitda | ebit | revenue | earnings | book_value sì ebitda, ebit, revenue (enterprise basis), earnings or book_value (equity basis).
metric_value decimale sì The metric at the horizon N, in currency units, greater than 0.
rate decimale no Discount rate of the terminal phase, decimal fraction per period, on the basis of the metric (WACC for enterprise, cost of equity for equity). Optional, with next_flow: both or neither. Used only for the implied growth.
next_flow decimale no Flow at N + 1 on the basis of the metric (FCFF for enterprise, FCFE for equity), in currency units. Optional, with rate: both or neither.
growth_cap decimale no Upper bound for the implied growth, decimal fraction per period. Default: none, reported as absent. Needs rate and next_flow. Exceeding it is reported, not refused.

tv.limited_horizon

Terminal value, finite horizon · versione del metodo 1 · tool fairmark_tv_limited_horizon

Terminal value at the horizon N of a flow lasting n more periods, constant or growing, plus a residual value at N + n (Italian practice); reuses the annuity factor of tvm.annuity.

Input Tipo Obbligatorio Default Descrizione
flow decimale sì First flow after the horizon, at the end of period N + 1, in currency units.
rate decimale sì Discount rate of the terminal phase, decimal fraction per period, greater than -1.
periods integer sì Number of further periods n during which the flow lasts, from 1 to 10000.
growth decimale no Growth of the flow per period, decimal fraction, greater than -1. Default: 0 (constant flow).
residual_value decimale no Residual value at the end of period N + n, in currency units. Default: 0.
growth_cap decimale no Upper bound for the growth, decimal fraction per period. Default: none, reported as absent. A growth above the cap is reported, not refused.

tv.normalised_income

Terminal value, capitalised normalised income · versione del metodo 1 · tool fairmark_tv_normalised_income

Terminal value at the horizon N as a normalised income capitalised at a rate i, R / i, or R / (i − g) with growth (Italian practice).

Input Tipo Obbligatorio Default Descrizione
income decimale sì Normalised income R of the first period after the horizon, in currency units.
capitalisation_rate decimale sì Capitalisation rate i, decimal fraction per period, greater than 0; must exceed growth.
basis enterprise | equity sì enterprise (an operating income capitalised at a rate for all capital providers) or equity (a net income capitalised at a cost of equity). Required, no default.
growth decimale no Perpetual growth of the income, decimal fraction per period, greater than -1 and below the capitalisation rate. Default: none (R / i).
growth_cap decimale no Upper bound for the growth, decimal fraction per period. Default: none, reported as absent. A growth above the cap is reported, not refused.

tv.liquidation

Terminal value, liquidation · versione del metodo 1 · tool fairmark_tv_liquidation

Net liquidation value at the horizon N: realisable values of labelled assets less labelled liabilities, liquidation costs and the tax on gains, every line in explain.

Input Tipo Obbligatorio Default Descrizione
assets lista di object sì Assets with their realisable values at N, in currency units, each zero or positive; at least one.
liabilities lista di object sì Liabilities settled at N, in currency units, each zero or positive.
liquidation_costs lista di object sì Costs of the liquidation (legal fees, closure, severance), in currency units, each zero or positive.
tax_on_gains decimale sì Tax on the gains realised, as an amount in currency units, zero or positive.
basis enterprise | equity sì enterprise (the liabilities listed exclude financial debt: the value is an enterprise value) or equity (financial debt included: the value is an equity value). Required, no default.

tv.compare

Terminal value, comparison of techniques · versione del metodo 1 · tool fairmark_tv_compare

Runs several terminal value techniques on one rate, growth cap and basis and returns each terminal value at the horizon N with its implied assumptions, side by side.

Input Tipo Obbligatorio Default Descrizione
rate decimale sì Discount rate of the terminal phase, decimal fraction per period, shared by every technique that uses a discount rate.
basis enterprise | equity sì enterprise or equity: the basis of every terminal value compared. An exit multiple of the other basis is refused.
growth_cap decimale no Upper bound for the perpetual growth, decimal fraction per period, shared by every growth-based technique. Default: none, reported as absent.
techniques lista di sì Techniques to run, at least one, each written {"tv.<name>": {terms}}; the same technique may appear more than once.

dcf.fcff

DCF — unlevered free cash flow · versione del metodo 3 · tool fairmark_dcf_fcff

Value of operations, enterprise value and equity value from FCFF discounted at the WACC over one to three explicit stages (given flows, constant growth, linear decline of growth) and a terminal value. Returns every period and step for audit.

Input Tipo Obbligatorio Default Descrizione
stages lista di object sì One to three explicit stages, in order; the explicit horizon N is the sum of their periods. Each stage is {"periods", "projection", ...} with the fields of its projection.
base_flow decimale no FCFF of the base period CF_0, in currency units: required when the first stage is constant_growth or linear_decline, refused when it is given.
cash_flow_terms nominal | real sì nominal or real: the terms of every amount and growth rate of the input.
discount_rate_terms nominal | real sì nominal or real: the terms of the discount rates. They must equal cash_flow_terms.
wacc decimale no One WACC for every period and for the terminal value, decimal fraction per period (0.09 = 9%), greater than -1. Give this or wacc_per_period, not both.
wacc_per_period array | null no One WACC per period of the explicit horizon, decimal fractions, exactly N of them; requires terminal_wacc. Give this or wacc, not both.
terminal_wacc decimale no WACC of the terminal phase, decimal fraction per period; required with wacc_per_period, refused with wacc.
timing end_of_period | mid_period sì end_of_period (flow k at t = k) or mid_period (t = k − 0.5); no default.
terminal_discount_time no With mid_period timing, required: horizon (terminal value at t = N) or mid_period (t = N − 0.5). Refused with end_of_period.
terminal object sì The terminal technique, an object with exactly one key, the method id: {"tv.gordon": {"growth", "first_flow", ...}}, on the enterprise basis.
net_financial_position no Net financial position at the valuation date (SPEC-0007): gross debt − cash + signed other items, positive for net debt, subtracted from enterprise value. Default: none, reported.
non_operating_assets lista di object no Non-operating assets at the valuation date, each a label and a value in currency units (zero or more), added to the value of operations. Default: none, reported.

ratios.profitability

Ratios — profitability · versione del metodo 1 · tool fairmark_ratios_profitability

ROE, ROI, ROA, ROS, EBITDA and EBIT margins, capital turnover and the ROE decomposition in three factors and in the leverage form, on closing or average balances. A ratio that cannot be computed is reported as not defined with the reason.

Input Tipo Obbligatorio Default Descrizione
balances closing | average sì Balances used by the ratios: closing, or average of opening and closing.
operating_return_base invested_capital | total_assets sì Capital on which ROI and the capital turnover are measured.
ebitda_definition string sì How EBITDA was measured, in words (for example "reported EBITDA, no adjustments"); echoed in the conventions.
income_statement object sì Flows of the period.
closing object sì Balance sheet at the end of the period.
opening no Balance sheet at the start of the period. Required with average balances; not used with closing balances.
leverage no Inputs of the leverage form of the ROE decomposition. Absent: the leverage form is not defined and the other ratios are computed.

ratios.capital_structure

Ratios — capital structure · versione del metodo 1 · tool fairmark_ratios_capital_structure

Debt to equity, net financial position to equity, equity ratio, primary and secondary structure margins and fixed-asset coverage, with the net financial position and its composition stated. A ratio that cannot be computed is reported as not defined with the reason.

Input Tipo Obbligatorio Default Descrizione
balances closing | average sì Balances used by the ratios: closing, or average of opening and closing.
closing object sì Balance sheet at the end of the period.
opening no Balance sheet at the start of the period. Required with average balances; not used with closing balances.

ratios.liquidity

Ratios — liquidity · versione del metodo 1 · tool fairmark_ratios_liquidity

Current, quick and cash ratios, net working capital and treasury margin, on closing or average balances. A ratio that cannot be computed is reported as not defined with the reason.

Input Tipo Obbligatorio Default Descrizione
balances closing | average sì Balances used by the ratios: closing, or average of opening and closing.
closing object sì Balance sheet at the end of the period.
opening no Balance sheet at the start of the period. Required with average balances; not used with closing balances.

ratios.working_capital

Ratios — working capital · versione del metodo 1 · tool fairmark_ratios_working_capital

Days sales outstanding, days inventory outstanding, days payable outstanding and the cash conversion cycle, on closing or average balances and a 360 or 365-day basis. A ratio that cannot be computed is reported as not defined with the reason.

Input Tipo Obbligatorio Default Descrizione
balances closing | average sì Balances used by the ratios: closing, or average of opening and closing.
day_basis 360 | 365 sì Days in the year: "360" or "365".
income_statement object sì Flows of the period (one year).
closing object sì Balance sheet at the end of the period.
opening no Balance sheet at the start of the period. Required with average balances; not used with closing balances.

ratios.debt_service

Ratios — debt service · versione del metodo 1 · tool fairmark_ratios_debt_service

Interest cover on EBIT and EBITDA, net financial position to EBITDA, DSCR per period and LLCR on a loan schedule with an explicit discount rate. A ratio that cannot be computed is reported as not defined with the reason.

Input Tipo Obbligatorio Default Descrizione
balances closing | average sì Balances used by the ratios: closing, or average of opening and closing.
ebitda_definition string sì How EBITDA was measured, in words (for example "reported EBITDA, no adjustments"); echoed in the conventions.
interest_definition string sì How interest was measured, in words (for example "gross interest expense" or "interest expense net of interest income"); echoed in the conventions.
income_statement object sì Flows of the period.
closing object sì Balance sheet at the end of the period.
opening no Balance sheet at the start of the period. Required with average balances; not used with closing balances.
debt_schedule no Loan schedule for DSCR and LLCR. Absent: DSCR and LLCR are not defined and the other ratios are computed.

ratios.covenants

Ratios — covenants · versione del metodo 1 · tool fairmark_ratios_covenants

Tests financial covenants on the numerator and denominator defined by the loan agreement, against a threshold with an explicit operator (at most, less than, at least, greater than) at a test date. The agreement's own rules are explicit inputs: the outcome when the denominator is zero or negative, and the rounding of the tested value. Returns for each covenant the outcome (passed, breached, or not tested with a code and the reason), decided exactly, the tested value and the headroom, absolute and relative to the threshold.

Input Tipo Obbligatorio Default Descrizione
covenants lista di object sì The covenants to test, at least one. Each is tested on its own; the results keep this order.

analysis.goal_seek

Goal seek · versione del metodo 1 · tool fairmark_analysis_goal_seek

Value of one decimal input of any method at which one of its outputs equals a target, found with Brent's method in an explicit bracket; every evaluation is reported.

Input Tipo Obbligatorio Default Descrizione
method string sì Id of the method to evaluate, for example dcf.fcff. Analysis methods are not accepted.
base_input object sì Input of that method, complete, including the variable at any starting value.
variable string sì RFC 6901 JSON Pointer to the decimal input to solve for, for example /discount_rate.
output string sì RFC 6901 JSON Pointer to the decimal output of the method, in its value, for example /enterprise_value.
target decimale sì Value the output must reach, in the output's units.
bracket lista di decimale sì [low, high], low < high: the variable is searched in this interval, and the output minus the target must change sign between its ends (or meet the tolerance at one end).
tolerance decimale no "0.000000001" Absolute tolerance on the output, in the output's units, greater than 0. Default: 0.000000001.
max_iterations integer no 100 Largest number of evaluations after the two bracket ends, from 1 to 1000. Default: 100.

analysis.sensitivity

Sensitivity table · versione del metodo 1 · tool fairmark_analysis_sensitivity

One output of any method across a one-way or two-way table of input values, with the base case; a combination the method refuses is recorded in its cell.

Input Tipo Obbligatorio Default Descrizione
method string sì Id of the method to evaluate, for example dcf.fcff. Analysis methods are not accepted.
base_input object sì Input of that method, complete: the base case.
output string sì RFC 6901 JSON Pointer to the decimal output reported in each cell, in the value of the inner result, for example /enterprise_value.
rows object sì The variable that changes along the rows, and its values.
columns no Optional second variable, along the columns, different from the row variable. Absent: a one-way table (one column).

analysis.scenarios

Scenario analysis · versione del metodo 1 · tool fairmark_analysis_scenarios

Outputs of any method under named sets of input changes, with deltas and relative deltas against the base case; a scenario the method refuses is recorded.

Input Tipo Obbligatorio Default Descrizione
method string sì Id of the method to evaluate, for example dcf.fcff. Analysis methods are not accepted.
base_input object sì Input of that method, complete: the base case.
outputs lista di string sì RFC 6901 JSON Pointers to the decimal outputs to report, in the value of the inner result, for example ["/enterprise_value", "/equity_value"]; at least one, no repeats.
scenarios lista di object sì The cases, evaluated in this order; at least one.

analysis.tornado

Tornado · versione del metodo 1 · tool fairmark_analysis_tornado

Which inputs move one output of any method the most: each input varied alone between explicit low and high values, ranked by the absolute swing of the output.

Input Tipo Obbligatorio Default Descrizione
method string sì Id of the method to evaluate, for example dcf.fcff. Analysis methods are not accepted.
base_input object sì Input of that method, complete: the base case. Each variable is changed alone, the others keep their base values.
output string sì RFC 6901 JSON Pointer to the decimal output to rank, in the value of the inner result, for example /equity_value.
variables lista di object sì The inputs to vary; at least one.