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### 3.1 Rapid increase in USD exposures driven by non-banks

- Trends in USD exposures
  - USD-denominated assets amounted to 42 trillion in 2024.
  - USD-denominated assets nearly doubled from 19 trillion in 2013.
  - Foreign holdings of USD bonds and equities increased sixfold in the last two decades (from $5.5 trillion in 2002) (Du et al. (2024) cited).
  - As a share of GDP, the average for countries in the sample rose from 132% in 2013 to 195% in 2024.
  - USD-denominated liabilities are much smaller relative to assets—about forty percent less as of 2024.
  - Absolute USD liabilities increased over the past decade but less than assets; foreign holdings of USD-denominated liabilities relative to GDP remained roughly unchanged, peaking in 2015 and declining steadily thereafter.

- Investor composition: banks vs non-banks
  - Growth in USD-denominated assets is primarily driven by rising non-banks’ holdings; USD assets held by the banking sector have remained stable.
  - For USD-denominated liabilities, both banks and non-banks show stable patterns.
  - Increase in non-banks’ USD assets aligns with Du et al. (2024), which documents greater allocation to USD securities across insurance, pensions and mutual funds.
  - Drivers of non-bank increases: higher allocations to non-domestic investments and active rebalancing within non-domestic investments toward USD-denominated assets.

- Cross-country heterogeneity (advanced economies vs emerging markets)
  - Emerging market economies (EMs) exhibit more balanced USD assets and USD liabilities; these have remained aligned over the past decade.
  - In advanced economies (AEs), USD assets noticeably exceed USD liabilities; the gap widened due to a rapid increase in USD assets.
  - The rise in global USD exposure has been primarily driven by advanced economies.
  - Non-banks’ dominance in AEs:
    - In 2013, banks and non-banks each held roughly half of USD assets.
    - By 2024, non-banks accounted for over 65 percent of USD assets in AEs, leaving banks with about 35 percent.
  - In EMs, banks and non-banks hold similar amounts of USD assets.
  - USD liabilities composition: non-banks constitute a larger share of liabilities than banks in both AEs and EMs, especially in EMs; liability composition has remained relatively stable.
  - Net dollar positions:
    - In AEs, both banks and non-banks are net holders of dollar assets (more dollar assets than liabilities).
    - In EMs, only banks are net dollar asset holders; non-banks have more dollar liabilities than assets.

- Marginal investors of USD asset growth (regression evidence)
  - Regression setup (following Fang et al. (2025)): changes in USD assets by investor type scaled by lagged total USD assets regressed on changes in total USD assets (coefficients for banks and non-banks sum to one); country fixed effects included; Driscoll-Kraay standard errors used.
  - Key estimates (Table (1) summary):
    - Advanced economies: non-banks drive 83% of the increase in USD assets; banks drive 18%.
    - Emerging markets: non-banks account for 27% of the increase; banks account for 73%.
  - Conclusion: non-bank investors are the primary marginal investors in USD assets in advanced economies; banks are the primary marginal investors in EMs.

- USD exposures scaled by FX market depth
  - USD exposures scaled using BIS Triennial Survey daily FX turnover figures converted to monthly; total USD assets divided by corresponding monthly FX turnover volumes.
  - Scaling by FX turnover measures exposure relative to FX market depth; deeper FX markets can accommodate hedging demands more easily.
  - The level of USD assets scaled by GDP does not perfectly correlate with USD assets scaled by FX turnover.
  - Country examples:
    - Luxembourg: relatively high USD assets to GDP, but comparatively lower USD assets scaled by FX turnover due to the depth of the Euro FX market.
    - Taiwan: substantial USD assets relative to the size of its FX market (high when scaled by FX turnover) but smaller ratio when scaled by GDP, reflecting a relatively shallow FX market for the Taiwanese dollar.
  - Note: BIS Triennial Survey numbers for year t are applied to years t−1 and t+1 as approximations.

- CIP deviations: definition and measurement
  - One-period CIP condition (cash vs FX swap markets) and introduction of CIP deviation x_{i/$t} as a wedge when equality does not hold.
  - In log terms, CIP deviation:
    - x_{i/$t} = y_{$t} − y_{i t} + ρ_{i/$t}, where ρ_{i/$t} is the forward premium (log difference between forward and spot).
  - Sign interpretation:
    - Negative CIP deviation: USD borrowing costs more in the FX swap market (forward rate too low); investors selling dollar forwards incur a cost.
    - Positive CIP deviation: USD borrowing more expensive in the cash market; investors buying dollar forwards incur a cost.
  - Focus on 3-month CIP deviations:
    - Chosen to mitigate credit risk contamination and because short-term forwards and interbank lending markets are more liquid.
    - Correlation between 3-month CIP deviations and sovereign CDS spreads in the sample is near zero, supporting that the short-term measure does not reflect sovereign default risk.
  - Summary statistics (Table (2)): CIP deviations are mostly negative in the sample; the median for both AEs and EMs is below zero.

- Empirical relationships between USD exposures and CIP deviations
  - Baseline cross-sectional regression: CIP_it = γ_t + β DollarExp_it + ν_it, where DollarExp_it is net dollar exposure (dollar assets minus liabilities) divided by monthly FX turnover; time fixed effects included; Driscoll-Kraay standard errors used.
  - Main findings (Table (5)):
    - Advanced economies: relationship between net dollar exposures and CIP deviations is statistically and significantly negative.
    - Emerging markets: relationship is statistically and significantly positive.
    - Interpretation for AEs: higher net dollar exposures increase hedging demand, pushing up dollar borrowing cost in the FX swap market and making CIP deviations more negative.
    - For EMs: positive coefficient partly aligns with Dao and Gourinchas (2025) who find a weak positive correlation due to measurement challenges; robustness to inclusion of sovereign CDS spreads is confirmed in Appendix.
  - Banks vs non-banks analysis (regression CIP_it = γ_t + β1 DollarExp_bk,it + β2 DollarExp_nb,it + ν_it):
    - Advanced economies (Table (6)): coefficients on net dollar exposures for both banks and non-banks are significantly negative.
    - Emerging markets (Table (6)): coefficient on banks’ net dollar exposure is statistically insignificant; coefficient on non-banks’ net dollar exposure is statistically positive.
    - Robustness: findings remain robust to inclusion of sovereign credit risk as a control.
  - Interpretation for EMs: non-banks typically have more dollar liabilities than assets; under the hedging demand channel, hedging of open dollar liability positions by non-banks would supply dollars into the FX swap market and lower dollar borrowing costs (implying a negative relationship). The empirically observed significantly positive coefficient for non-banks in EMs suggests an alternative mechanism—linked to substantial dollar-denominated debt held by non-bank sectors in EMs—is driving CIP deviations in these countries.

### 4.3 Divergent relations between CIP deviations and dollar exposures

- Overview and objective
  - Explain why CIP deviations can be positively related to non-banks’ net dollar exposure in emerging markets by linking CIP deviations to firms’ currency choice for debt issuance and asset holdings.
  - Approach: illustrative example of dollar debt issuance and a formal model (inspired by Liao (2020)) that endogenizes CIP deviations via firms’ currency choices and constrained-capital traders who arbitrage CIP deviations.
  - Focus: rationalize cross-sectional variation in CIP deviations across countries driven by the stock of net dollar exposures.

- CIP deviations and dollar debt issuance (illustrative example)
  - Local-currency borrowing cost: r_i^t (equation (7) in source).
  - USD borrowing cost (hedged via forward/swap): (1/S_{i/$}^t)(1 + r_ $^t)F_{i/$}^t − 1 (equation (8) in source).
  - Borrowing-cost differential Φ defined (equation (9) in source) and log-linearized:
    - Φ = r_i^t − r_ $^t − f_t + s_t (equation (10) in source).
  - Decomposition with risk-free yields (equation (11) in source):
    - Φ = (r_i^t − y_i^t) − (r_ $^t − y_ $^t) − (y_ $^t − y_i^t + ρ_{i/$}^t)
  - Interpretation: A more negative CIP deviation increases Φ, making USD borrowing cheaper; firms issuing USD liabilities benefit from negative CIP deviations by effectively providing dollar funding where there is a dollar shortage.
  - Mechanism implication: More negative CIP deviations incentivize firms to increase dollar debt issuance → higher USD liabilities → smaller net USD exposures (potential positive cross-sectional relation when driven by supply factors).

- Model: firm choices, trader arbitrage, and equilibrium CIP deviations
  - Firm liabilities: representative firm issues debt D, chooses USD debt share μ_d given hedging ratio h_d, maximizes CRRA expected utility (equations (12)-(13) in source).
    - End-of-period wealth W expression (equation (13) in source) distinguishes components: locally funded debt, hedged USD portion (cost r_ $^d + x), and unhedged USD portion (cost r_ $^d + φ) where φ has mean φ̄ and variance V.
    - Optimal USD debt share (first-order/Taylor expansion) (equation (14) in source):
      - μ*_d = [r_i^d − (r_ $^d + h_d x + (1−h_d) φ̄)] / [ρ_d (1−h_d)^2 V]
      - Comparative statics: larger ρ_d or larger V → smaller μ*_d. Higher x raises USD hedging cost → reduces μ*_d; negative x lowers USD funding cost → increases μ*_d.
  - Firm assets: dollar asset holder funded by LC debt chooses USD asset share μ_a with analogous setup (equations (15)-(17) in source).
    - Optimal USD asset share (equation (17) in source):
      - μ*_a = [r_ $^a + h_a x + (1−h_a) φ̄ − r_i^a] / [ρ_a (1−h_a)^2 V]
      - Negative x (x < 0) implies a hedging cost that reduces dollar asset returns, lowering μ*_a ceteris paribus.
  - Trader supply: constrained-capital forward/swap trader allocates capital between exploiting CIP deviations x and alternative investment I, with haircut H = γ s (equations (18)-(20) in source).
    - Trader objective (equation (19) in source) leads to optimal forward position s (equation (21) in source) and, under assumption W = φ_0 / φ_1 (from Liao (2020)), simplified relations:
      - s = − x / (γ^2 φ_1) (equation (23) in source)
      - Equivalently x = − γ^2 φ_1 s (equation (24) in source)
  - Market clearing for forwards (equation (25) in source):
    - μ_d D h_d − μ_a A h_a + s = 0
    - Substituting optimal μ*_d, μ*_a, and s yields equilibrium condition (equation (26) in source):
      - D h_d [r_i^d − (r_ $^d + h_d x + (1−h_d) φ̄)] / [ρ_d (1−h_d)^2 V] − A h_a [r_ $^a + h_a x + (1−h_a) φ̄ − r_i^a] / [ρ_a (1−h_a)^2 V] − x / (γ^2 φ_1) = 0
    - Interpretation: First two terms = net hedging demand from dollar debt and dollar asset holders (functions of x); last term = limited-capital traders’ supply of forwards. Equilibrium x determined by interaction of demand and supply.

- Equilibrium intuition and cross-sectional implications
  - Demand-driven variation:
    - More dollar assets (higher A) raise hedging demand for selling dollar forwards → CIP deviation must become more negative to clear market → ∂x*/∂A < 0.
    - More dollar liabilities (higher D) increase demand for buying dollar forwards → x must be less negative / more positive → ∂x*/∂D > 0.
    - Net implication: Demand-side driven variation produces a negative cross-sectional correlation between CIP deviations and net dollar exposures.
  - Supply-driven variation:
    - If supply of arbitrage (traders) is constrained (higher haircut γ → traders supply fewer swaps), then ∂x*/∂γ < 0 (higher γ pushes x more negative).
    - More negative x reduces μ*_a (fewer dollar assets) and increases μ*_d (more dollar debt) → country’s net dollar exposure falls.
    - Net implication: Supply-side driven variation can produce a positive cross-sectional correlation between CIP deviations and net dollar exposures.
  - Institutional interpretation:
    - Advanced economies: CIP deviations largely shaped by hedging demand (shared global bank suppliers), producing a negative correlation between net dollar exposures and CIP deviations.
    - Emerging markets: cross-border arbitrage constrained by capital controls, taxation, legal/regulatory differences, and higher haircuts; supply-side differences dominate, producing a positive correlation.

- Empirical findings (selected quantitative results)
  - Cross-sectional relationships (Table 3; regression of CIP deviations on DollarExp):
    - All countries (column (1)): coefficient = −0.15 (standard error 0.245)
    - Advanced economies (column (2)): coefficient = −1.06*** (standard error 0.243)
    - Emerging markets (column (3)): coefficient = 3.43*** (standard error 0.639)
    - Observations: 210 (all), 139 (advanced), 71 (emerging). Time Fixed Effects: Yes.
  - Banks vs non-banks (Table 4; regressions of CIP deviations on bank and non-bank DollarExp):
    - DollarExp_bk (banks):
      - All: −0.78* (0.366)
      - Advanced: −1.36** (0.514)
      - Emerging: 1.14 (0.942)
    - DollarExp_nb (non-banks):
      - All: 0.32 (0.512)
      - Advanced: −0.76*** (0.078)
      - Emerging: 6.10*** (0.961)
    - Observations: 210, 139, 71. Time Fixed Effects: Yes.
  - Robustness with CDS controls (Tables 5 and 6 in Appendix B):
    - Table 5 (CIP deviations on DollarExp, control=CDS):
      - Advanced economies coefficient = −1.06*** (0.243); Emerging = 4.69*** (0.985)
      - Observations: 210, 139, 57.
    - Table 6 (banks/non-banks with CDS control):
      - DollarExp_bk (advanced) = −1.36** (0.514); (emerging) = 1.18 (1.148)
      - DollarExp_nb (advanced) = −0.76*** (0.078); (emerging) = 7.23*** (1.200)
      - Observations: 210, 139, 57.
  - Summary statistics of CIP deviations (Table 2; annual CIP deviations 2013–2024):
    - All countries (Obs 236): P10 = −90.11, P25 = −59.48, P50 = −33.09, P75 = −8.32, P90 = 3.18
    - Advanced economies (Obs 142): P10 = −69.58, P25 = −50.56, P50 = −23.51, P75 = −9.73, P90 = −4.3
    - Emerging markets (Obs 94): P10 = −108.42, P25 = −75.49, P50 = −44.73, P75 = −2.09, P90 = 53.21

- Main conclusions and policy-relevant implications
  - The cross-sectional sign of the correlation between net dollar exposures and CIP deviations depends on whether variations in CIP deviations originate from demand-side or supply-side factors.
    - Demand-side dominated (typical of advanced economies with common global bank suppliers): negative correlation between net dollar exposures and CIP deviations.
    - Supply-side dominated (typical of emerging markets with heterogeneous arbitrage capacity, capital controls, and differing haircuts γ): positive correlation between net dollar exposures and CIP deviations.
  - Practical implication: Determining whether observed CIP deviations across countries are driven primarily by hedging demand or by local supply frictions (e.g., higher haircuts, limited cross-border arbitrage) is crucial for interpreting the link between CIP deviations and countries’ dollar exposures and for designing policies that affect dollar funding and hedging markets.

*Source: wpiea2026169-source-pdf*

### 3.1  Rapid increase in USD exposures driven by non-banks

### 3.1  Rapid increase in USD exposures driven by non-banks

### Trends in USD exposures
- USD-denominated assets amounted to 42 trillion in 2024.
- USD-denominated assets nearly doubled from 19 trillion in 2013.
- Foreign holdings of USD bonds and equities increased sixfold in the last two decades (from $5.5 trillion in 2002) (Du et al. (2024) cited).
- As a share of GDP, the average for countries in the sample rose from 132% in 2013 to 195% in 2024.
- USD-denominated liabilities are much smaller relative to assets—about forty percent less as of 2024.
- Absolute USD liabilities increased over the past decade but less than assets; foreign holdings of USD-denominated liabilities relative to GDP remained roughly unchanged, peaking in 2015 and declining steadily thereafter.

### Investor composition: banks vs non-banks
- Growth in USD-denominated assets is primarily driven by rising non-banks’ holdings; USD assets held by the banking sector have remained stable.
- For USD-denominated liabilities, both banks and non-banks show stable patterns.
- Increase in non-banks’ USD assets aligns with Du et al. (2024), which documents greater allocation to USD securities across insurance, pensions and mutual funds.
- Drivers of non-bank increases: higher allocations to non-domestic investments and active rebalancing within non-domestic investments toward USD-denominated assets.

### Cross-country heterogeneity (advanced economies vs emerging markets)
- Emerging market economies (EMs) exhibit more balanced USD assets and USD liabilities; these have remained aligned over the past decade.
- In advanced economies (AEs), USD assets noticeably exceed USD liabilities; the gap widened due to a rapid increase in USD assets.
- The rise in global USD exposure has been primarily driven by advanced economies.
- Non-banks’ dominance in AEs:
  - In 2013, banks and non-banks each held roughly half of USD assets.
  - By 2024, non-banks accounted for over 65 percent of USD assets in AEs, leaving banks with about 35 percent.
- In EMs, banks and non-banks hold similar amounts of USD assets.
- USD liabilities composition: non-banks constitute a larger share of liabilities than banks in both AEs and EMs, especially in EMs; liability composition has remained relatively stable.
- Net dollar positions:
  - In AEs, both banks and non-banks are net holders of dollar assets (more dollar assets than liabilities).
  - In EMs, only banks are net dollar asset holders; non-banks have more dollar liabilities than assets.

### Marginal investors of USD asset growth (regression evidence)
- Regression setup (following Fang et al. (2025)): changes in USD assets by investor type scaled by lagged total USD assets regressed on changes in total USD assets (coefficients for banks and non-banks sum to one); country fixed effects included; Driscoll-Kraay standard errors used.
- Key estimates (Table (1) summary):
  - Advanced economies: non-banks drive 83% of the increase in USD assets; banks drive 18%.
  - Emerging markets: non-banks account for 27% of the increase; banks account for 73%.
- Conclusion: non-bank investors are the primary marginal investors in USD assets in advanced economies; banks are the primary marginal investors in EMs.

### USD exposures scaled by FX market depth
- USD exposures are scaled by FX turnover using BIS Triennial Survey daily FX turnover figures converted to monthly; total USD assets divided by corresponding monthly FX turnover volumes.
- Scaling by FX turnover provides a measure of exposure relative to FX market depth; deeper FX markets can accommodate hedging demands more easily.
- The level of USD assets scaled by GDP does not perfectly correlate with USD assets scaled by FX turnover.
- Country examples highlighting disparity:
  - Luxembourg: relatively high USD assets to GDP, but comparatively lower USD assets scaled by FX turnover due to the depth of the Euro FX market.
  - Taiwan: substantial USD assets relative to the size of its FX market (high when scaled by FX turnover) but smaller ratio when scaled by GDP, reflecting a relatively shallow FX market for the Taiwanese dollar.
- Note on BIS Triennial Survey timing: since the Triennial Survey is conducted every three years, reported numbers for year t are applied to years t−1 and t+1 as approximations.

### CIP deviations: definition and measurement
- One-period CIP condition (cash vs FX swap markets) and introduction of CIP deviation x_{i/$t} as a wedge when equality does not hold.
- In log terms, CIP deviation:
  - x_{i/$t} = y_{$t} − y_{i t} + ρ_{i/$t}, where ρ_{i/$t} is the forward premium (log difference between forward and spot).
  - Sign interpretation:
    - Negative CIP deviation: USD borrowing costs more in the FX swap market (forward rate too low); investors selling dollar forwards incur a cost.
    - Positive CIP deviation: USD borrowing more expensive in the cash market; investors buying dollar forwards incur a cost.
- Focus on 3-month CIP deviations:
  - Chosen to mitigate credit risk contamination and because short-term forwards and interbank lending markets are more liquid.
  - Correlation between 3-month CIP deviations and sovereign CDS spreads in the sample is near zero, supporting that the short-term measure does not reflect sovereign default risk.
- Summary statistics (Table (2)):
  - CIP deviations are mostly negative in the sample; the median for both AEs and EMs is below zero.

### Empirical relationships between USD exposures and CIP deviations
- Baseline cross-sectional regression: CIP_it = γ_t + β DollarExp_it + ν_it, where DollarExp_it is net dollar exposure (dollar assets minus liabilities) divided by monthly FX turnover; time fixed effects included; Driscoll-Kraay standard errors used.
- Main findings (Table (5)):
  - Advanced economies: relationship between net dollar exposures and CIP deviations is statistically and significantly negative.
  - Emerging markets: relationship is statistically and significantly positive.
  - Interpretation for AEs: higher net dollar exposures increase hedging demand, pushing up dollar borrowing cost in the FX swap market and making CIP deviations more negative.
  - For EMs: positive coefficient partly aligns with Dao and Gourinchas (2025) who find a weak positive correlation due to measurement challenges; robustness to inclusion of sovereign CDS spreads is confirmed in Appendix.
- Banks vs non-banks analysis (regression CIP_it = γ_t + β1 DollarExp_bk,it + β2 DollarExp_nb,it + ν_it):
  - Advanced economies (Table (6)): coefficients on net dollar exposures for both banks and non-banks are significantly negative.
  - Emerging markets (Table (6)): coefficient on banks’ net dollar exposure is statistically insignificant; coefficient on non-banks’ net dollar exposure is statistically positive.
  - Robustness: findings remain robust to inclusion of sovereign credit risk as a control.
- Interpretation for EMs: non-banks typically have more dollar liabilities than assets; under the hedging demand channel, hedging of open dollar liability positions by non-banks would supply dollars into the FX swap market and lower dollar borrowing costs (implying a negative relationship). The empirically observed significantly positive coefficient for non-banks in EMs suggests an alternative mechanism—linked to substantial dollar-denominated debt held by non-bank sectors in EMs—is driving CIP deviations in these countries.

*Source: wpiea2026169-source-pdf - 3.1  Rapid increase in USD exposures driven by non-banks*

### 4.3  Divergent relations between CIP deviations and dollar exposures

### 4.3  Divergent relations between CIP deviations and dollar exposures

### Overview
- Purpose: Explain why CIP deviations can be positively related to non-banks’ net dollar exposure in emerging markets by linking CIP deviations to firms’ currency choice for debt issuance and asset holdings.
- Approach: Provide an illustrative example of dollar debt issuance, then present a formal model (inspired by Liao (2020)) that endogenizes CIP deviations via firms’ asset/liability currency choices and constrained-capital traders who arbitrage CIP deviations.
- Focus: Rationalize cross-sectional variation in CIP deviations across countries driven by the stock of net dollar exposures, rather than high-frequency time-series dynamics.

### CIP deviations and dollar debt issuance (illustrative example)
- Local-currency borrowing cost: r_i^t (equation (7) in source).
- USD borrowing cost (hedged via forward/swap): (1/S_{i/$}^t)(1 + r_ $^t)F_{i/$}^t − 1 (equation (8) in source).
- Borrowing-cost differential Φ defined (equation (9) in source) and log-linearized to:
  - Φ = r_i^t − r_ $^t − f_t + s_t (equation (10) in source).
- With risk-free yields included, Φ decomposes into (equation (11) in source):
  - Φ = (r_i^t − y_i^t) − (r_ $^t − y_ $^t) − (y_ $^t − y_i^t + ρ_{i/$}^t)
  - Interpretation: A more negative CIP deviation increases Φ, making USD borrowing cheaper; firms issuing USD liabilities benefit from negative CIP deviations by effectively providing dollar funding where there is a dollar shortage.
- Mechanism implication: More negative CIP deviations incentivize firms to increase dollar debt issuance → higher USD liabilities → smaller net USD exposures (i.e., a potential positive relationship between CIP deviations and net dollar exposures across countries when driven by supply factors).

### Model: firm choices, trader arbitrage, and equilibrium CIP deviations
- Firm side (liabilities): Representative firm issues debt D, chooses USD debt share μ_d given hedging ratio h_d, maximizes CRRA expected utility (equations (12)-(13) in source).
  - End-of-period wealth W expression (equation (13) in source) distinguishes locally funded debt, hedged USD portion (cost r_ $^d + x), and unhedged USD portion (cost r_ $^d + φ) where φ has mean φ̄ and variance V.
  - Optimal USD debt share (first-order/Taylor expansion) (equation (14) in source):
    - μ*_d = [r_i^d − (r_ $^d + h_d x + (1−h_d) φ̄)] / [ρ_d (1−h_d)^2 V]
    - Comparative statics: larger ρ_d or larger V → smaller μ*_d. Higher x (more positive CIP deviation) raises USD hedging cost → reduces μ*_d; negative x lowers USD funding cost → increases μ*_d.
- Firm side (assets): Dollar asset holder funded by LC debt chooses USD asset share μ_a with analogous setup (equations (15)-(17) in source):
  - Optimal USD asset share (equation (17) in source):
    - μ*_a = [r_ $^a + h_a x + (1−h_a) φ̄ − r_i^a] / [ρ_a (1−h_a)^2 V]
    - Negative x (x < 0) implies a hedging cost that reduces dollar asset returns, lowering μ*_a ceteris paribus.
- Trader (supply) side: Constrained-capital forward/swap trader allocates capital between exploiting CIP deviations x and alternative investment I, with haircut H = γ s (equations (18)-(20) in source).
  - Trader objective (equation (19) in source) leads to optimal forward position s (equation (21) in source) and, under assumption W = φ_0 / φ_1 (from Liao (2020)), simplified relations:
    - s = − x / (γ^2 φ_1) (equation (23) in source)
    - Equivalently x = − γ^2 φ_1 s (equation (24) in source)
- Market clearing for forwards (equation (25) in source):
  - μ_d D h_d − μ_a A h_a + s = 0
  - Substituting optimal μ*_d, μ*_a, and s yields equilibrium condition (equation (26) in source):
    - D h_d [r_i^d − (r_ $^d + h_d x + (1−h_d) φ̄)] / [ρ_d (1−h_d)^2 V] − A h_a [r_ $^a + h_a x + (1−h_a) φ̄ − r_i^a] / [ρ_a (1−h_a)^2 V] − x / (γ^2 φ_1) = 0
  - Interpretation: First two terms = net hedging demand from dollar debt and dollar asset holders (functions of x); last term = limited-capital traders’ supply of forwards. Equilibrium x determined by interaction of demand and supply.

### Equilibrium intuition and cross-sectional implications
- Demand-driven variation:
  - If cross-country differences in x stem from demand: more dollar assets (higher A) raise hedging demand for selling dollar forwards → CIP deviation must become wider (more negative) to clear market, so ∂x*/∂A < 0.
  - More dollar liabilities (higher D) increase demand for buying dollar forwards → x must be less negative / more positive, so ∂x*/∂D > 0.
  - Net implication: Demand-side driven variation produces a negative cross-sectional correlation between CIP deviations and net dollar exposures (illustrated in first panel of Figure (12) in source).
- Supply-driven variation:
  - If cross-country differences stem from supply (e.g., higher haircut γ → constrained traders supply fewer swaps), then ∂x*/∂γ < 0 (higher γ pushes x more negative).
  - More negative x (wider negative CIP) reduces μ*_a (fewer dollar assets) and increases μ*_d (more dollar debt) → country’s net dollar exposure falls.
  - Net implication: Supply-side driven variation can produce a positive cross-sectional correlation between CIP deviations and net dollar exposures (illustrated in second panel of Figure (12) in source).
- Institutional interpretation:
  - Advanced economies: CIP deviations largely shaped by hedging demand (shared global bank suppliers), producing a negative correlation between net dollar exposures and CIP deviations.
  - Emerging markets: Cross-border arbitrage constrained by capital controls, taxation, legal/regulatory differences, and higher haircuts; supply-side differences dominate, producing a positive correlation.

### Empirical findings (selected quantitative results from tables and figures in source)
- Cross-sectional relationships (Table 3 in source; regression of CIP deviations on DollarExp):
  - All countries (column (1)): coefficient = −0.15 (standard error 0.245)
  - Advanced economies (column (2)): coefficient = −1.06*** (standard error 0.243)
  - Emerging markets (column (3)): coefficient = 3.43*** (standard error 0.639)
  - Observations: 210 (all), 139 (advanced), 71 (emerging). Time Fixed Effects: Yes.
- Banks vs non-banks (Table 4 in source; regressions of CIP deviations on bank and non-bank DollarExp):
  - DollarExp_bk (banks):
    - All: −0.78* (0.366)
    - Advanced: −1.36** (0.514)
    - Emerging: 1.14 (0.942)
  - DollarExp_nb (non-banks):
    - All: 0.32 (0.512)
    - Advanced: −0.76*** (0.078)
    - Emerging: 6.10*** (0.961)
  - Observations: 210, 139, 71. Time Fixed Effects: Yes.
- Robustness with CDS controls (Tables 5 and 6 in Appendix B):
  - Table 5 (CIP deviations on DollarExp, control=CDS):
    - Advanced economies coefficient = −1.06*** (0.243); Emerging = 4.69*** (0.985)
    - Observations: 210, 139, 57 (note: sample differences when adding controls).
  - Table 6 (banks/non-banks with CDS control):
    - DollarExp_bk (advanced) = −1.36** (0.514); (emerging) = 1.18 (1.148)
    - DollarExp_nb (advanced) = −0.76*** (0.078); (emerging) = 7.23*** (1.200)
    - Observations: 210, 139, 57.
- Summary statistics of CIP deviations (Table 2 in source; annual CIP deviations 2013–2024):
  - All countries (Obs 236): P10 = −90.11, P25 = −59.48, P50 = −33.09, P75 = −8.32, P90 = 3.18
  - Advanced economies (Obs 142): P10 = −69.58, P25 = −50.56, P50 = −23.51, P75 = −9.73, P90 = −4.3
  - Emerging markets (Obs 94): P10 = −108.42, P25 = −75.49, P50 = −44.73, P75 = −2.09, P90 = 53.21

### Main conclusions and policy-relevant implications (from model and empirical results)
- Cross-sectional sign of correlation between net dollar exposures and CIP deviations depends on whether CIP deviations’ variations originate from demand-side or supply-side factors.
  - Demand-side dominated (typical of advanced economies with common global bank suppliers): negative correlation between net dollar exposures and CIP deviations.
  - Supply-side dominated (typical of emerging markets with heterogeneous arbitrage capacity, capital controls, and differing haircuts γ): positive correlation between net dollar exposures and CIP deviations.
- Practical implication: Understanding whether observed CIP deviations across countries are driven primarily by hedging demand or by local supply frictions (e.g., higher haircuts, limited cross-border arbitrage) is crucial for interpreting the link between CIP deviations and countries’ dollar exposures, and for designing policies that affect dollar funding and hedging markets.

*Source: Excerpt from "4.3 Divergent relations between CIP deviations and dollar exposures" (wpiea2026169-source-pdf).*

### References

### wpiea2026169-source-pdf - References

### Covered interest parity, CIP deviations, and international capital market frictions
- Avdjiev, S., Du, W., Koch, C., and Shin, H. S. (2019).   The dollar, bank leverage, and deviations from covered interest parity. American Economic Review: Insights, 1(2):193–208.
- Baba, N. and Packer, F. (2009).   Interpreting deviations from covered interest parity during the financial market turmoil of 2007–08. Journal of Banking & Finance, 33(11):1953–1962.
- Cerutti, E. M., Obstfeld, M., and Zhou, H. (2021). Covered interest parity deviations: Macrofinancial determinants. Journal of International Economics, 130:103447.
- Cerutti, E. and Zhou, H. (2024).   Uncovering cip deviations in emerging markets:  Distinctions, determinants, and disconnect. IMF Economic Review, 72(1):196–252.
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- Du, W., Hèbert, B., and Huber, A. W. (2023).  Are intermediary constraints priced? The Review of Financial Studies, 36(4):1464–1507.
- Du, W., Huber, A. W., et al. (2024). Dollar asset holdings and hedging around the globe. Technical report, National Bureau of Economic Research.

### Dollar funding, bank leverage, and global banking behavior
- Avdjiev, S., Du, W., Koch, C., and Shin, H. S. (2019).   The dollar, bank leverage, and deviations from covered interest parity. American Economic Review: Insights, 1(2):193–208.
- Ivashina, V., Scharfstein, D. S., and Stein, J. C. (2015).  Dollar funding and the lending behavior of global banks. The Quarterly Journal of Economics, 130(3):1241–1281.
- McCauley, R. N., McGuire, P., and Sushko, V. (2015). Dollar credit to emerging market economies. BIS Quarterly Review December.
- Sushko, V., Borio, C. E., McCauley, R. N., and McGuire, P. (2016).  The failure of covered interest parity: Fx hedging demand and costly balance sheets.
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### Currency composition of reserves, external balance sheets, and sovereign debt
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### Measurement, data sources, and cross-border positions
- Judson, R. and Kim, N. (2026).  Measuring cross-border securities positions: Explaining asymmetries between us treasury tic and imf pip (formerly cpis) data.
- Benetrix, A., Gautam, D., Juvenal, L., and Schmitz, M. (2019). Cross-border currency exposures. International Monetary Fund.
- Du, W., Huber, A. W., et al. (2024). Dollar asset holdings and hedging around the globe. Technical report, National Bureau of Economic Research.

*Global Dollar Exposure and Its Relationship with CIP Deviations Working Paper No. WP/2026/169*

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_Source: https://www.imf.org/-/media/files/publications/wp/2026/english/wpiea2026169-source-pdf.pdf_
