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### Six Principles of Inflation Targeting (Box 1)
- Core definition and operational implications
  - Inflation-forecast targeting (IFT) is systematic, operational, flexible inflation targeting.
  - The central bank’s forecast contains all information relevant to the outlook for inflation—including policymakers’ preferences regarding the short-run trade-off between output and inflation, and estimated effects of shocks—making it an ideal intermediate target over the relevant policy horizon.
  - The analytical framework works back from the nominal anchor to derive feasible medium-term paths for the policy rate that guide the short-term interest rate so the inflation objective is achieved.
  - In this framework the policy interest rate must be endogenous, determined ultimately by the goal—otherwise the system has no nominal anchor.
  - Actual inflation may deviate from the target following shocks; due to lags in monetary transmission and concerns for output deviations from potential, it is not desirable to aim at keeping inflation exactly on target at all times.
  - Occasional deviations from the glide path should not automatically be interpreted as monetary policy errors; the speed of adjustment depends on the nature and magnitude of shocks and the policy response.
- Six principles (exact wording preserved)
  - The primary role of monetary policy is to provide a nominal anchor (i.e., low, stable long-run inflation expectations) for the economy; the weights given to any other objective must be consistent with this.
  - Effective inflation targeting has beneficial first-order effects on welfare by reducing uncertainty, anchoring inflation expectations and reducing the incidence and severity of boom-bust cycles.
  - Fiscal and other government policies may make the task of monetary policy easier and more credible, or more difficult and less credible.
  - Because of
    - lags in the monetary transmission mechanism, and
    - concern for deviations of output from potential, as well as of inflation from the long-run target,
    following shocks it is not desirable to aim at keeping inflation exactly on target.
  - In view of possible short-run trade-offs between the inflation targets and other objectives, the conduct of monetary policy must have sufficient independence from the political process to achieve the announced objectives.
  - Effective monitoring and accountability mechanisms are required to ensure that central banks behave in a manner consistent with announced objectives and sound practice.
- Policy-relevant takeaways and institutional requirements
  - A successful FIT/IFT regime provides an anchor to all nominal values, resulting in a significant reduction of uncertainty.
  - The central bank should set the policy rate with the objective of keeping the short-term market rate at any desired level; in advanced economies this link is strong, while in developing economies such as India these linkages are weaker—one of the implementation challenges.
  - Fiscal policy and other government interventions can materially affect the credibility and ease of achieving the inflation objective.
  - Monetary policy needs sufficient independence to manage short-run trade-offs and maintain credibility.
  - Monitoring and accountability mechanisms are essential to ensure central bank behavior aligns with announced objectives and sound practice.

### Inflation target, institutional setup, and motivation for FIT in India
- Operational inflation target and tolerance band
  - Adopted operational target: 4.0 percent, with 6.0 percent and 2.0 percent as the upper and lower tolerance levels respectively, for the period up to March 31, 2021.
- Institutional change
  - Six-member MPC constituted in September 2016 by the Government and the Reserve Bank.
- Motivation and historical context
  - Lack of an explicit nominal anchor before FIT allowed relative price shocks (notably fuel and food) to transmit rapidly into persistent generalized inflation.
  - Large role of food price shocks and energy price shocks in Indian inflation dynamics underscores the need for a strong nominal anchor to anchor inflation and inflation expectations.

### International experience and modelling practice
- Countries with previously weak price stability (New Zealand, Canada, Czech Republic) used inflation targeting to reduce long-run inflation and stabilize expectations, with transition output and employment losses.
- United States policy evolved toward a regime resembling FIT without explicit self-identification; long-run behavior of inflation and inflation expectations over last 3 decades resembles FIT countries.
- Most central banks adopting FIT set up a forecasting and policy analysis system (FPAS) and relied on calibrated monetary policy models rather than purely equation-by-equation statistical estimation.

### Challenges for implementing FIT in India
- Transmission mechanism weaknesses
  - Multiple channels; interest rate channel is the most important.
  - Bank lending channel exists but transmission to medium-term bank lending rates historically sluggish.
  - Asset price and exchange rate channels found to be feeble in India.
  - Impediments: administered interest rates, statutory preemptions, rigidities in deposit rate structure, lack of external benchmarks.
  - Administered small saving interest rates can act as a floor for deposit rates; Government announced alignment measures on February 16, 2016.
  - Large retail deposit shares and fixed-tenure deposits create rigidity in banks’ funding costs; lack of transparent external money market benchmark limits floating deposit product creation.
  - High statutory preemptions can crowd out credit and suppress long-term risk-free interest rates.
  - Exogenous capital-flow-induced volatility in domestic liquidity conditions can materially affect transmission.
  - Informal finance usage weakens monetary policy efficacy on aggregate demand.
  - Base Rate computation changes: from April 2016 Base Rate mandatory on marginal cost of funds.
- Importance of food prices to CPI
  - Food group constitutes about 46 percent of the CPI basket in India.
  - High share of food implies susceptibility to supply shocks (rainfall, agricultural output) and structural shifts in relative price of food vs non-food can create secular divergence.
  - Interventions (minimum support prices, employment guarantees, minimum wages) complicate transmission and relative price adjustment.
  - Monetary policy affects inflation via output gap on non-food non-fuel prices (sticky core consumption); high food weight dilutes medium-term effect of policy rate changes on overall CPI and introduces noise into inflation signal.
  - FIT should not be rejected because of food volatility; FIT provides a nominal anchor to limit pass-through of food price shocks into generalized inflation via anchored expectations and published medium-term forecast paths.
  - Trending relative prices create communication challenges: core inflation could be systematically downward-biased relative to headline inflation, complicating reassurance when target is headline inflation.
- No track record — challenge of building credibility
  - Before FIT, RBI had no explicit overarching price stability mandate; public lacked historical record to judge RBI commitment.
  - Credibility must be earned over time by achieving announced objectives and transparent communication; inconsistency can erode credibility.
  - Expectations mechanism: credible, assertive policy response to shocks can absorb shocks (stabilize long-term expectations, raise real rate, appreciate exchange rate, open negative output gap and return inflation to target). Lack of credibility can amplify shocks and produce prolonged inflation spirals.
  - Credibility evolves gradually during FIT adoption and must be explicitly accounted for in policy model calibration.

### Quarterly Projection Model (QPM) — structure, calibration, India-specific features
- Model structure
  - Forward-looking, 4-equation, open-economy model: endogenous variables are output gap, inflation, interest rate, and exchange rate.
  - Core-QPM omits sectoral details (covered in production-QPM) and includes a quadratic loss function capturing policymakers’ aversion to large deviations and dark corners.
  - Output gap responds to real interest rate and real exchange rate.
  - Expectations-augmented Phillips curve: short-run trade-off between output and inflation; no long-run trade-off.
  - Exchange rate via uncovered interest parity with risk premium, modified for reduced sensitivity to interest differentials.
  - Loss function penalizes deviations of inflation from target, output gaps, and interest rate variability.
  - Expectations are a mix of model-consistent (rational) and backward-looking components.
- Core-QPM behavioral equations and calibrations (notations and calibrations preserved exactly as presented)
  - Output gap:
    - ŷ_t = α1 E_t[ŷ_{t+1}] + α2 ŷ_{t-1} + α3 r̂_{t-1} + α4 ẑ_{t-1} + ε^y_t
    - α1; α2; α3; α4 = .05.0;08.0;60.0;07.0
  - Inflation:
    - π_t = β1 E_t[π_{t+1}] + β2 π_{t-1} + β3 ŷ_t + β4 ẑ_t + ε^π_t
    - β1; β2; β3; β4 = .005.;0;4.;0;06.;0;33.;0
  - Monetary policy loss:
    - Loss L = Σ_{i=0}^∞ β^i [ λ1 (π̂_{t+i} − π^*)^2 + λ2 ŷ_{t+i}^2 + λ3 (Δ i_{t+i})^2 ]
    - λ1; λ2; λ3; β = .5 .0; 1 ; 1 ; 98 .0 3 2 1 = = = = λ λ λ β
  - Uncovered interest parity with risk premium:
    - S_t − E_t S_{t+1} = σ_t + (i_t − i^f_t)/4 + ε^S_t
    - δ1; δ2 = .3 .0;6. .0 2 1 = = δ δ
    - Weakened UIP parameter: γ1 = .7 .0 1 = γ
  - Inflation expectations formation (credibility and weights):
    - κ = .1 ; b_π = .25 .0
  - Credibility process and calibration (Table 2 preserved)
    - c_t = ρ_c c_{t-1} + (1−ρ_c) ξ_t ; ρ_c = .80 .0
    - ξ_t = (ε^L_{t+1})^2 − (ε^H_{t+1})^2
    - ε^L_t = [ρ·π_{t-1} + (1−ρ)·π^*] − π^4_t with ρ = .4 ; π^* = .5 .0
    - ε^H_t = [ρ·π_{t-1} + (1−ρ)·π^H] − π^4_t with π^H = .8
    - Boundary conditions: If π^4_t − [ρ·π^4_{t-1} + (1−ρ)·π^*] < 0, then ξ_t = 1. If π^4_t − [ρ·π^4_{t-1} + (1−ρ)·π^H] > 0, then ξ_t = 0.
- India-specific model features
  - Phillips curve includes a non-linear output gap term implying increasing marginal effect on inflation as gap increases; becomes very flat at wide negative output gaps.
  - Expectations formation explicitly includes endogenous credibility-building: credibility stock c_t evolves with signals based on relative squared forecast errors between optimists and skeptics.
  - Monetary policy minimizes quadratic loss including penalty for steep policy rate changes to reflect policymakers’ preference for gradualism and information transmission.

### Policy experiments and illustrative results (preserved exactly)
- Disinflation experiment (from 5 percent to 4 percent)
  - Initial equilibrium: 5 percent inflation and nominal interest rate 7 percent (real rate 2 percent).
  - Baseline with initial low credibility: central bank hikes policy rate; rupee appreciates; negative output gap opens; inflation declines via exchange rate effect first and output gap later.
  - Cost in cumulative forgone output: 2 percent of annual GDP (sacrifice ratio of 2).
  - Credibility stock starts low and builds as inflation declines; as credibility approaches 1, lagged expectation and bias terms disappear improving output-inflation trade-off.
  - Hawkish policymakers: achieve target faster but with higher policy rate increases, sharper appreciation, wider negative output gap, larger sacrifice ratio.
  - Dovish policymakers (higher weight on output): tighten less, lower sacrifice ratio.
- Disinflation with perfect credibility
  - 1-percent reduction in inflation achieved within a 6-quarter horizon at lower cumulative output cost: one-half percent of annual GDP.
  - With perfect credibility, tightening can be achieved without policy interest rate increase (real rate rise comes from lower expected inflation).
  - Policymaker preference over output gap matters little under perfect credibility.
- Demand shocks (divine coincidence)
  - Optimal policy raises (cuts) policy rate to address positive (negative) demand shocks; this generally keeps inflation close to baseline while moderating output—no major conflict between output and inflation objectives.
  - Given flat Phillips curve under excess supply, negative demand shocks require somewhat larger output gap widening than positive shocks.
  - Demand shocks have little impact on credibility when inflation is well controlled.
- Supply shocks (trade-offs and stagflation)
  - Nasty supply shock requires interest rate increase and larger negative output gap to maintain path to 4 percent target; trade-off between speed of return to target and output gap size.
  - Prompt, aggressive tightening prevents ratcheting up of long-term expectations and preserves credibility but at higher short-run output cost.
  - Favorable supply shock: inflation moderates faster, reaches 4 percent sooner, monetary policy eases, output gap closes faster.
  - Sequence of nasty supply shocks: requires more aggressive tightening and steep output gap widening; medium-term inflation can increase considerably and credibility may take a hit, but committed policy can still prevent long-term inflation expectations from ratcheting up.
- Importance of prompt versus delayed responses
  - Delays in policy response to large supply shocks require much larger subsequent interest rate hikes and lead to larger cumulative output gaps and higher inflation — substantial deterioration in medium-term output-inflation trade-off.
  - Under perfect credibility, delay does less damage initially, but repeated delays can still undermine credibility.
- Importance of credibility
  - Even with perfect credibility, long sequences of nasty shocks can worsen the policy trade-off with rising interest rates, widening negative output gaps, and higher inflation in the medium term; restoring reputation and getting inflation back to target incurs substantial output costs.

### Key quantitative points and indicators (preserved exactly)
- Operational inflation target: 4.0 percent, with 6.0 percent and 2.0 percent as the upper and lower tolerance levels respectively.
- Food group weight in CPI: about 46 percent.
- Disinflation initial and target values in experiment: from 5 percent to 4 percent.
- Initial nominal interest rate in disinflation experiment: 7 percent (real rate of 2 percent).
- Sacrifice ratio in baseline disinflation experiment: cumulative forgone output is 2 percent of annual GDP (i.e., a sacrifice ratio of 2).
- Sacrifice ratio with perfect credibility: one-half percent of annual GDP for 1-percent disinflation achieved in 6 quarters.
- Expectations/credibility calibration parameters (as presented)
  - Output-gap coefficients: .05.0;08.0;60.0;07.0 (α1; α2; α3; α4 as listed).
  - Inflation coefficients: .005.;0;4.;0;06.;0;33.;0 (β1; β2; β3; β4 as listed).
  - Loss-function parameters: .5 .0; 1 ; 1 ; 98 .0 3 2 1 = λ1; λ2; λ3; β (as shown).
  - UIP/PRIME parameters: δ1; δ2 = .3 .0;6. .0 2 1 ; γ1 = .7 .0 1
  - Expectations weights: κ = .1 ; b_π = .25 .0
  - Credibility process: ρ_c = .80 .0 ; ρ = .4 ; π^* = .5 .0 ; π^H = .8

### Policy implications and recommendations
- Establish a strong nominal anchor via FIT to reduce amplitude and pass-through of supply shocks by anchoring expectations.
- Build and preserve credibility: credible, prompt, and appropriately aggressive policy responses reduce long-run costs and improve output-inflation trade-offs.
- Strengthen monetary transmission before and during FIT implementation: address administered rates, deposit-rigidity issues, external benchmarks, statutory preemptions, and capital-flow sterilization practices.
- Communication strategy must explicitly account for high food weight and trending relative prices; publish medium-term forecast paths showing route back to headline inflation target and explain transmission channels and expected duration of relative price effects.
- Use calibrated FPAS and QPM-style models that incorporate credibility formation, weakened UIP, and non-linear Phillips curve features to evaluate policy trade-offs and timing under India-specific frictions.

*Source: wp1732 - 4.0  percent,  with  6.0  percent  and  2.0  percent  as  the  upper  and  lower  tolerance  levels (IMF working paper content).*

### Box 1. Six Principles of Inflation Targeting ...........................................................................

### Box 1. Six Principles of Inflation Targeting

### Core definition and operational implications
- Inflation-forecast targeting (IFT) is systematic, operational, flexible inflation targeting.
- The central bank’s forecast contains all information relevant to the outlook for inflation—including policymakers’ preferences regarding the short-run trade-off between output and inflation, and estimated effects of shocks—making it an ideal intermediate target over the relevant policy horizon.
- The analytical framework works back from the nominal anchor to derive feasible medium-term paths for the policy rate that guide the short-term interest rate so the inflation objective is achieved.
- In this framework the policy interest rate must be endogenous, determined ultimately by the goal—otherwise the system has no nominal anchor.
- Actual inflation may deviate from the target following shocks; due to lags in monetary transmission and concerns for output deviations from potential, it is not desirable to aim at keeping inflation exactly on target at all times.
- Occasional deviations from the glide path should not automatically be interpreted as monetary policy errors; the speed of adjustment depends on the nature and magnitude of shocks and the policy response.

### Six principles (exact wording preserved)
- The primary role of monetary policy is to provide a nominal anchor (i.e., low, stable long-run inflation expectations) for the economy; the weights given to any other objective must be consistent with this.
- Effective inflation targeting has beneficial first-order effects on welfare by reducing uncertainty, anchoring inflation expectations and reducing the incidence and severity of boom-bust cycles.
- Fiscal and other government policies may make the task of monetary policy easier and more credible, or more difficult and less credible.
- Because of
  - lags in the monetary transmission mechanism, and
  - concern for deviations of output from potential, as well as of inflation from the long-run target,
  following shocks it is not desirable to aim at keeping inflation exactly on target.
- In view of possible short-run trade-offs between the inflation targets and other objectives, the conduct of monetary policy must have sufficient independence from the political process to achieve the announced objectives.
- Effective monitoring and accountability mechanisms are required to ensure that central banks behave in a manner consistent with announced objectives and sound practice.

### Policy-relevant takeaways and institutional requirements
- A successful FIT/IFT regime provides an anchor to all nominal values, resulting in a significant reduction of uncertainty.
- The central bank should set the policy rate with the objective of keeping the short-term market rate at any desired level; in advanced economies this link is strong, while in developing economies such as India these linkages are weaker—one of the implementation challenges.
- Fiscal policy and other government interventions can materially affect the credibility and ease of achieving the inflation objective.
- Monetary policy needs sufficient independence to manage short-run trade-offs and maintain credibility.
- Monitoring and accountability mechanisms are essential to ensure central bank behavior aligns with announced objectives and sound practice.

*Source: Adapted from Freedman and Laxton (2009); content as presented in Box 1 of the source document.*

### 4.0  percent,  with  6.0  percent  and  2.0  percent  as  the  upper  and  lower  tolerance  levels

### wp1732 - 4.0  percent,  with  6.0  percent  and  2.0  percent  as  the  upper  and  lower  tolerance  levels

### Inflation framework, nominal anchor, and motivation for FIT
- Adopted operational target: 4.0 percent, with 6.0 percent and 2.0 percent as the upper and lower tolerance levels respectively, for the period up to March 31, 2021.
- Six-member MPC constituted in September 2016 by the Government and the Reserve Bank.
- Historical narrative: lack of an explicit nominal anchor before FIT allowed relative price shocks (notably fuel and food) to transmit rapidly into persistent generalized inflation.
- Large role of food price shocks and energy price shocks in Indian inflation dynamics underscores the need for a strong nominal anchor to anchor inflation and inflation expectations.

### International experience with inflation targeting (IFT)
- Countries that previously had weak price stability (New Zealand, Canada, Czech Republic) used inflation targeting to address entrenched high and variable inflation; achieved low long-run inflation and stabilized expectations, albeit with transition output and employment losses.
- United States policy evolved toward a regime resembling FIT without explicit self-identification as an inflation targeter; long-run behavior of inflation and inflation expectations over last 3 decades resembles FIT countries.
- Most central banks adopting FIT set up a forecasting and policy analysis system (FPAS) and relied on calibrated monetary policy models rather than purely equation-by-equation statistical estimation—calibration valued for embodying theoretical principles and yielding empirically plausible predictions, especially where data deficiencies make econometric estimation fragile.

### Challenges for implementing FIT in India
- Transmission mechanism weaknesses
  - Multiple channels; interest rate channel is the most important.
  - Bank lending channel exists but transmission to medium-term bank lending rates historically sluggish.
  - Asset price and exchange rate channels found to be feeble in India.
  - Impediments highlighted: administered interest rates, statutory preemptions, rigidities in deposit rate structure, lack of external benchmarks.
  - Administered small saving interest rates can act as a floor for deposit rates and impede transmission; Government announced alignment measures on February 16, 2016.
  - Large retail deposit shares and fixed-tenure deposits create rigidity in banks’ funding costs; lack of transparent external money market benchmark limits floating deposit product creation.
  - High statutory preemptions can crowd out credit and suppress long-term risk-free interest rates.
  - Exogenous capital-flow-induced volatility in domestic liquidity conditions can materially affect transmission.
  - Informal finance usage weakens monetary policy efficacy on aggregate demand.
  - Pricing structure for loans (Base Rate computed on average cost of funds historically) made lending rates less sensitive to policy rate changes; from April 2016 Base Rate mandatory on marginal cost of funds.
- Importance of food prices to CPI
  - Food group constitutes about 46 percent of the CPI basket in India.
  - High share of food implies susceptibility to supply shocks (rainfall, agricultural output) and structural shifts in relative price of food vs non-food can create secular divergence; Figure 8 reports ratio of Food Group Index to Overall CPI for Industrial Workers (source: RBI).
  - Interventions (minimum support prices, employment guarantees, minimum wages) complicate transmission and relative price adjustment.
  - Conceptual effect: monetary policy affects inflation via output gap on non-food non-fuel prices (sticky core consumption), so high food weight dilutes medium-term effect of policy rate changes on overall CPI and introduces noise into inflation signal.
  - FIT should not be rejected because of food volatility; instead, FIT provides a nominal anchor to limit pass-through of food price shocks into generalized inflation via anchored expectations and published medium-term forecast paths.
  - Trending relative prices create communication challenges: core inflation could be systematically downward-biased relative to headline inflation, complicating reassurance when target is headline inflation.

- No track record — the challenge of building credibility
  - Before FIT, RBI had no explicit overarching price stability mandate; public lacked historical record to judge RBI commitment.
  - Credibility must be earned over time by achieving announced objectives and transparent communication; inconsistency can erode credibility.
  - Expectations mechanism: credible, assertive policy response to shocks can absorb shocks (stabilize long-term expectations, raise real rate, appreciate exchange rate, open negative output gap and return inflation to target). Lack of credibility can amplify shocks and produce prolonged inflation spirals.
  - Credibility evolves gradually during FIT adoption and must be explicitly accounted for in policy model calibration.

### Quarterly Projection Model (QPM) — core model overview and calibration
- Model structure
  - Forward-looking, 4-equation, open-economy model: endogenous variables are output gap, inflation, interest rate, and exchange rate.
  - Core-QPM omits sectoral details (covered in production-QPM) and includes a quadratic loss function capturing policymakers’ aversion to large deviations and dark corners.
  - Output gap responds to real interest rate and real exchange rate.
  - Expectations-augmented Phillips curve: short-run trade-off between output and inflation; no long-run trade-off.
  - Exchange rate via uncovered interest parity with risk premium, modified for reduced sensitivity to interest differentials (to capture capital controls and market frictions).
  - Loss function penalizes deviations of inflation from target, output gaps, and interest rate variability.
  - Expectations are a mix of model-consistent (rational) and backward-looking components.
- Core-QPM behavioral equations and calibrations (as presented)
  - Output gap (notation preserved):
    - ŷ_t = α1 E_t[ŷ_{t+1}] + α2 ŷ_{t-1} + α3 r̂_{t-1} + α4 ẑ_{t-1} + ε^y_t
    - α1; α2; α3; α4 = .05;.0;08.0;60.0;07.0  (as listed in table: " .05.0;08.0;60.0;07.0  4321  = = = = α α α α")
  - Inflation (notation preserved):
    - π_t = β1 E_t[π_{t+1}] + β2 π_{t-1} + β3 ŷ_t + β4 ẑ_t + ε^π_t
    - β1; β2; β3; β4 = .005.;0;4.;0;06.;0;33.;0  (as listed: " .005 .0; 4. .0; 06. .0; 33. .0 4 3 2 1 = = = = β β β β")
  - Monetary policy loss function (parameters preserved):
    - Loss L = Σ_{i=0}^∞ β^i [ λ1 (π̂_{t+i} − π^*)^2 + λ2 ŷ_{t+i}^2 + λ3 (Δ i_{t+i})^2 ]
    - λ1; λ2; λ3; β = .5;.0;1;1;98.;0 3 2 1 = = = = λ λ λ β  (as shown: " .5 .0; 1 ; 1 ; 98 .0 3 2 1 = = = = λ λ λ β")
  - Uncovered interest parity with risk premium (as presented):
    - S_t − E_t S_{t+1} = σ_t + (i_t − i^f_t)/4 + ε^S_t  (and extended formulation in table)
    - δ1; δ2 = .3 .0;6. .0 2 1 = = δ δ (as presented)
  - Weakened uncovered interest parity with risk premium parameter:
    - γ1 = .7 .0 1 = γ
  - Inflation expectations formation (credibility and weights):
    - κ = .1 ; b_π = .25 .0  = κ π b
  - Notations explained in table (output gap ŷ_t, real interest rate gap r̂^m_t, real exchange rate gap ẑ_t, shocks ε, inflation π, inflation expectations E_t[π_{t+4}], credibility stock c_t, etc.).
  - Note: The calibration of coefficients is based on the production-QPM paper (Benes and others (2016) per text).
- Specific model features addressing Indian context
  - Phillips curve includes a non-linear output gap term implying increasing marginal effect on inflation as gap increases; becomes very flat at wide negative output gaps.
  - Expectations formation explicitly includes endogenous credibility-building: credibility stock c_t evolves with signals based on relative squared forecast errors between optimists and skeptics.
  - Credibility process calibration (Table 2):
    - c_t = ρ_c c_{t-1} + (1−ρ_c) ξ_t ; ρ_c = .80 .0
    - Signal for revision ξ_t = (ε^L_{t+1})^2 − (ε^H_{t+1})^2
    - Forecast error expected by optimists: ε^L_t = [ρ·π_{t-1} + (1−ρ)·π^*] − π^4_t with ρ = .4 ; π^* = .5 .0
    - Forecast error expected by skeptics: ε^H_t = [ρ·π_{t-1} + (1−ρ)·π^H] − π^4_t with π^H = .8
    - Boundary conditions: If π^4_t − [ρ·π^4_{t-1} + (1−ρ)·π^*] < 0, then ξ_t = 1. If π^4_t − [ρ·π^4_{t-1} + (1−ρ)·π^H] > 0, then ξ_t = 0.
  - Monetary policy minimizes quadratic loss including penalty for steep policy rate changes to reflect policymakers’ preference for gradualism and information transmission.

### Policy experiments and illustrative results from core-QPM
- Disinflation experiment (from 5 percent to 4 percent)
  - Initial equilibrium: 5 percent inflation and nominal interest rate 7 percent (real rate 2 percent).
  - Baseline with initial low credibility: central bank hikes policy rate; rupee appreciates (exchange rate drops); negative output gap opens; inflation declines via exchange rate effect first and output gap later.
  - Cost in cumulative forgone output: 2 percent of annual GDP (sacrifice ratio of 2).
  - Credibility stock starts low and builds as inflation declines; as credibility approaches 1, lagged expectation and bias terms disappear improving output-inflation trade-off.
  - Hawkish policymakers: achieve target faster but with higher policy rate increases, sharper appreciation, wider negative output gap, larger sacrifice ratio.
  - Dovish policymakers (higher weight on output): tighten less, lower sacrifice ratio.
- Disinflation with perfect credibility
  - 1-percent reduction in inflation achieved within a 6-quarter horizon at lower cumulative output cost: one-half percent of annual GDP.
  - With perfect credibility, tightening can be achieved without policy interest rate increase (real rate rise comes from lower expected inflation).
  - Policymaker preference over output gap matters little under perfect credibility.
- Demand shocks (divine coincidence)
  - Optimal policy raises (cuts) policy rate to address positive (negative) demand shocks; this generally keeps inflation close to baseline while moderating output—no major conflict between output and inflation objectives.
  - Given flat Phillips curve under excess supply, negative demand shocks require somewhat larger output gap widening than positive shocks.
  - Demand shocks have little impact on credibility when inflation is well controlled.
- Supply shocks (trade-offs and stagflation)
  - Nasty supply shock requires interest rate increase and larger negative output gap to maintain path to 4 percent target; trade-off between speed of return to target and output gap size.
  - Prompt, aggressive tightening prevents ratcheting up of long-term expectations and preserves credibility but at higher short-run output cost.
  - Favorable supply shock: inflation moderates faster, reaches 4 percent sooner, monetary policy eases, output gap closes faster.
  - Sequence of nasty supply shocks: requires more aggressive tightening and steep output gap widening; medium-term inflation can increase considerably and credibility may take a hit, but committed policy can still prevent long-term inflation expectations from ratcheting up.
- Importance of prompt versus delayed responses
  - Delays in policy response to large supply shocks require much larger subsequent interest rate hikes and lead to larger cumulative output gaps and higher inflation — substantial deterioration in medium-term output-inflation trade-off.
  - Under perfect credibility, delay does less damage initially, but repeated delays can still undermine credibility.
- Importance of credibility
  - Even with perfect credibility, long sequences of nasty shocks can worsen the policy trade-off with rising interest rates, widening negative output gaps, and higher inflation in the medium term; restoring reputation and getting inflation back to target incurs substantial output costs.

### Key quantitative points and indicators (preserved exactly as in source)
- Operational inflation target: 4.0 percent, with 6.0 percent and 2.0 percent as the upper and lower tolerance levels respectively.
- Food group weight in CPI: about 46 percent.
- Disinflation initial and target values in experiment: from 5 percent to 4 percent.
- Initial nominal interest rate in disinflation experiment: 7 percent (real rate of 2 percent).
- Sacrifice ratio in baseline disinflation experiment: cumulative forgone output is 2 percent of annual GDP (i.e., a sacrifice ratio of 2).
- Sacrifice ratio with perfect credibility: one-half percent of annual GDP for 1-percent disinflation achieved in 6 quarters.
- Expectations/credibility calibration parameters (as presented in tables):
  - Output-gap coefficients: .05.0;08.0;60.0;07.0 (α1; α2; α3; α4 as listed).
  - Inflation coefficients: .005.;0;4.;0;06.;0;33.;0 (β1; β2; β3; β4 as listed).
  - Loss-function parameters: .5 .0; 1 ; 1 ; 98 .0 3 2 1 = λ1; λ2; λ3; β (as shown).
  - UIP/PRIME parameters: δ1; δ2 = .3 .0;6. .0 2 1 ; γ1 = .7 .0 1
  - Expectations weights: κ = .1 ; b_π = .25 .0
  - Credibility process: ρ_c = .80 .0 ; ρ = .4 ; π^* = .5 .0 ; π^H = .8 ; π^* reported as .5 .0 in table and ρ reported as .4 (see Table 2).
- Note: All parameter notations and equation forms preserved exactly as in source tables and text.

### Policy implications and recommendations drawn from model experiments
- Establishing a strong nominal anchor via FIT can reduce the amplitude and pass-through of supply shocks by anchoring expectations.
- Building and preserving credibility is central: credible, prompt, and appropriately aggressive policy responses reduce long-run costs and improve output-inflation trade-offs.
- Strengthening monetary transmission is critical before and during FIT implementation: address administered rates, deposit-rigidity issues, external benchmarks, statutory preemptions, and capital-flow sterilization practices.
- Communication strategy must explicitly account for high food weight and trending relative prices; publish medium-term forecast paths showing route back to headline inflation target and explain transmission channels and expected duration of relative price effects.
- Use of calibrated FPAS and QPM-style models that incorporate credibility formation, weakened UIP, and non-linear Phillips curve features helps to evaluate policy trade-offs and timing under India-specific frictions.

*Source: wp1732 - 4.0  percent,  with  6.0  percent  and  2.0  percent  as  the  upper  and  lower  tolerance  levels (IMF working paper content).*

### References

### References

### Journal articles
- Aleem,  A.,  2010, “Transmission mechanism of monetary policy in India,” Journal  of  Asian Economics, Vol. 21, pp. 186–197.
- Basu,  K.,  2011, “Understanding  Inflation  and  Controlling It,” Economic  and  Political Weekly, Vol. 46, No.41, Oct 8–14, pp. 50–64.
- Bhaumik, S. K., V. Dang, and A. M. Kutan, 2011, “Implications of Bank Ownership for the Credit  Channel  of  Monetary  Policy  Transmission:  Evidence  from  India,” Journal  of Banking & Finance, Vol. 35, No. 9, pp. 2418–2428.
- Blanchard, O. and J. Galí, 2007, “Real Wage Rigidities and the New Keynesian Model,” Journal of Money Credit and Banking, Vol. 39 (s1), pp. 35–65.
- Gokarn, S., 2011, “The Price of Protein,” Macroeconomics and Finance in Emerging Market Economies, Vol. 4, No. 2; 327–335.
- Mohanty, D. and J. John,  2015,  “Determinants  of  inflation  in  India,” Journal  of  Asian Economics, Vol. 36, pp. 86–96.
- Singh,  B.  and  S. Pattanaik, 2012, “Monetary Policy and Asset Price Interactions in India: Should Financial   Stability   Concerns   from   Asset   Prices   be   Addressed through Monetary Policy?” Journal of Economic Integration, Vol. 27, pp. 167–194.
- Svensson, L. E. O., 1997, “Inflation Forecast Targeting: Implementing and Monitoring Inflation Targets,” European Economic Review, 41(6), pp. 1111-46.

### IMF working papers and related IMF outputs
- Alichi, A., K. Clinton, C. Freedman, M. Juillard, O. Kamenik, D. Laxton, J. Turunen, and H.  Wang, 2015, “Avoiding Dark Corners: A Robust Monetary Policy Framework for the United States,” IMF Working Paper No. 15/134.
- Anand, R., D. Ding, and V. Tulin, 2014, “Food inflation in India: The Role for Monetary Policy,” IMF Working Paper No. 14/78.
- Bhattacharya,  R.,  I.  Patnaik  and  A.  Shah,  2011,  “Monetary  Policy  Transmission  in  an Emerging Market Setting,” IMF Working Paper No. 11/5.
- Clinton, K., C. Freedman, M. Juillard, O. Kamenik, D. Laxton, and H. Wang, 2015, “Inflation-Forecast Targeting: Applying the Principle of Transparency,” IMF Working Paper No. 15/132.
- Das,  S.,  2015, “Monetary  Policy  in  India:  Transmission  to Bank  Interest  Rates,” IMF Working Paper No. 15/129.
- Freedman,  C.  and  D.  Laxton,  2009, “Why  inflation  targeting?” IMF  Working  Papers No. 09/86.
- Patra,  M. D. and  M. Kapur, 2010, “A Monetary Policy Model without  Money for India,” IMF Working Paper No. 10/183.
- Patra,  M.  D.  and  P.  Ray, 2010, “Inflation Expectations and Monetary Policy in India: An Empirical Exploration,” IMF Working Paper No. 10/84.

### Reserve Bank of India and RBI-affiliated working papers
- Benes, J., K. Clinton, A. George, P. Gupta, J. John, O. Kamenik, D.  Laxton, P. Mitra, G.V. Nadhanael, R. Portillo, H. Wang, and F. Zhang, 2016, “Quarterly Projection Model for India: Key Elements and Properties,” Reserve Bank of India Working Paper WPS 08/2016.
- Kapur, M. and H. Behera, 2012, “Monetary Transmission Mechanism in India: A Quarterly Model,” RBI Working Paper No. 09/2012.
- Khundrakpam, J. K., 2008, “How Persistent is Indian Inflationary Process, Has it Changed?,” Reserve Bank of India Occasional Papers Vol. 29, No. 2, Monsoon 2008.
- Khundrakpam,  J. K.  and  R.  Jain, 2012, “Monetary Policy Transmission in India: A  Peep Inside the Black Box,” Reserve Bank of India, Working Paper No. 11/2012.
- Mohanty, D., 2012, “Evidence on Interest Rate Channel of Monetary Policy Transmission in India,” RBI Working Paper No. 6/2012.
- Nadhanael,  G. V., 2012, “Recent Trends  in  Rural  Wages:  An  Analysis  of  Inflationary Implications,” Reserve Bank of India Occasional Papers, Vol. 33, No. 1 & 2.
- Pandit, B. L., A. Mittal, M. Roy, and S. Ghosh, 2006, “Transmission of monetary policy and the  bank  lending  channel:  analysis  and  evidence  for  India,”  DRG  Study  No. 25, Reserve Bank of India.
- Patra,  M. D.,  J.  K. Khundrakpam, and A. T. George, 2014, “Post-Global  Crisis  Inflation Dynamics  in  India:  What  has  Changed?” in Shekhar  Shah,  Barry  Bosworth  and Arvind Panagariya eds.  India Policy  Forum 2013-14, Volume 10, Sage Publications, July.
- Reserve Bank of India, 2005, Report on currency and finance, 2003–04.
- Reserve  Bank  of  India,  2014, Report  of  the  Expert  Committee  to  Revise  and  Strengthen  the Monetary Policy Framework, January.
- Sonna,  T.,  H.  Joshi,  A.  Sebastian, and U. Sharma, 2014, “Analytics of Food Inflation in India,” RBI Working Paper Series (DEPR): 10/2014.

### Working papers, discussion papers, and chapters (non-IMF/RBI)
- Bhatt,  V.  and  K. N. Kishor,  2013, “Bank  Lending  Channel  in  India:  Evidence  from  State-Level Analysis,” Empirical Economics, Vol. 45, No.3.
- Bhattacharya,  R. and A. S. Gupta, 2015, “Food Inflation in India: Causes and Consequences,” NIPFP Working Paper No. 2015-151, June.
- Bhattacharya,  R.,  I.  Patnaik,  and  A.  Shah,  2008, “Exchange  rate  pass-through in  India,” Macro/Finance Group at NIPFP.
- Darbha,  G.  and  U.  R.  Patel,  2012,  “Dynamics  of  Inflation  ‘Herding’:  Decoding  India's Inflationary   Process,” Working   Paper   48,   Global   Economy   and   Development, Brookings.
- Gulati, A., S. Jain, and S. Nidhi, 2013. “Rising Farm Wages in India: The ‘Pull’ and ‘Push’  Factors,” Commission for Agricultural Costs and Prices Discussion Paper No. 5.
- Khundrakpam, J. K., 2007, “Economic reforms and exchange rate pass-through to domestic prices in India,” BIS Working Papers 225, Bank for International Settlements.
- Kletzer,  K., 2012,  “Financial  Friction  and  Monetary  Policy  Transmission  in  India,”  in Chetan Ghate, ed., The Oxford Handbook of the Indian Economy, Oxford/New Delhi: Oxford University Press.
- Mohan, R., 2008, “Monetary policy transmission in India,” in Transmission Mechanisms For Monetary Policy In Emerging Market Economies, Bank for International Settlements 2008, Vol. 35, pp 259–307.
- Patra,  M. D.  and  P.  Ray, 2010, “Inflation Expectations and Monetary Policy in India: An Empirical Exploration,” IMF Working Paper No. 10/84.
- Rajan,  R.,  2014,  “Fighting  Inflation,”  speech  delivered  at  FIMMDA–PDAI   Annual Conference, February 26.

### Government and institutional documents
- Government of India, 2015, “Agreement on Monetary Policy Framework between the Government of India and the Reserve Bank of India,” February.
- Government of India, 2016, “Amendments to The Reserve Bank of India Act, 1934, Chapter XII, Miscellaneous, Part I, The Finance Act 2016,” pp. 82-87, May.

*wp1732 - References*

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_Source: https://www.imf.org/-/media/files/publications/wp/wp1732.pdf_
