Page 102 - Azerbaijan State University of Economics
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THE                 JOURNAL OF ECONOMIC SCIENCES: THEORY AND PRACTICE, V.82, # 2, 2025, pp. 96-116


                    3.  Issuance / redemption: SDC is issued on demand at par and freely redeemable for
                       central-bank  liabilities  (no  frictions  in  issuance/redemption  in  the  baseline).
                       Operational constraints and KYC/AML can be modeled via holding caps or tiering
                       (see below).

                    4.  Tiering / holding limits: To capture pragmatic policy choices we model a simple
                       tiered remuneration rule: households earn     on SDC holdings up to   ; balances
                                                                   
                                              
                                       
                       above    earn            ≤    . Tiering is used in comparative statics to show how caps
                       mitigate deposit substitution.

                    5.  Cross-border  usability:  Baseline  assumes  limited  cross-border  use  (a  small
                       parameter ψ captures foreign demand). We run sensitivity experiments with larger
                       ψ to show spillovers when the SDC becomes internationally attractive.

                    Monetary policy rule
                    We represent the central-bank policy instrument it with a standard partial-adjustment
                    Taylor rule augmented by a financial-stability term and persistence:

                                                                      
                       =        + (1 −    )(      +       +       ) +    ,              (6)
                               −1
                                                                 
                      
                                          
                                                         
                                                                      
                                                 
                    where     is inflation,     the (log) output gap, and     a short-run financial-stability
                                             
                              
                                                                         
                    indicator (we use the bank spread or the credit gap as stand-ins). Baseline numerical
                    values are    = 0.80,    = 1.50,    = 0.50,    = 0.25; we report sensitivity to   
                                             
                                                        
                                                                    
                                                                                                      
                                 
                    in Section 5.

                                                        
                    The  central  bank  can  also  set       (SDC  remuneration)  independently;  welfare
                                                        
                                        
                    experiments treat     as an operational parameter. When we report “remuneration near
                                                 
                    the policy rate” we refer to     approaching    in steady state.

                    Central-bank balance-sheet and recycling
                    In nominal terms the central bank balance sheet satisfies

                       =          +    ,                                                                                                                              (7)
                            
                       
                                   
                                                                          
                    where       denotes  outstanding  SDC  liabilities,       denotes  central-bank  assets
                                                                        
                              
                    (government bonds and foreign reserves) and     denotes other liabilities (reserves,
                                                                     
                    capital). We introduce a recycling parameter γ in [0,1] that captures the fraction of net
                    SDC inflows the central bank uses to (i) purchase assets or (ii) extend targeted lending
                    that  restores  bank  funding.  Operationally,  γ  =  0  denotes  no  offset  (full
                    disintermediation) while γ = 1 denotes full offset of flows into SDC (no net funding
                    loss to banks).
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