A Decomposition of International Capital Flows

Gao Meng; Eric van Wincoop

doi:10.1057/s41308-019-00094-0

IMF Economic Review

pp 1–28 | Cite as

A Decomposition of International Capital Flows

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Gao Meng
Eric van Wincoop

RESEARCH ARTICLE

First Online: 21 November 2019

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Abstract

We propose a method to break down capital flows into portfolio growth and portfolio reallocation components and apply it to data on US equity and bond outflows. The decomposition is part of an integrated approach that decomposes purchases of any asset into portfolio growth and reallocation components. US equity and bond outflows depend not just on portfolio growth and the reallocation between US and foreign equity and bonds, but also on reallocation decisions higher up on the decision tree. This includes reallocation between portfolio and non-portfolio assets and between equity and bonds. We also consider the decomposition of US equity and bond outflows to individual foreign countries. The data shed light on the importance of the various components in accounting for capital flows over both the short and long run.

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Supplementary material

41308_2019_94_MOESM1_ESM.pdf (125 kb)

Supplementary material 1 (pdf 124 KB)

41308_2019_94_MOESM2_ESM.zip (2.6 mb)

Supplementary material 2 (zip 2612 KB)

Appendix A: Equity Outflow Decomposition

In this Appendix, we derive the decompositions (15) and (18) of equity outflows. First consider the decomposition in Sect. 2.2. Differentiating (14), we have

$$\begin{aligned} Q_{t}^{e,F} \Delta X_{t+1}^{e,F}+X_{t}^{e,F} \Delta Q_{t+1}^{e,F}= k_{t}^{e,F} \Delta A_{t+1}+\left( \frac{\Delta k_{t+1}^{p}}{k_{t}^{p}}+\frac{\Delta k_{t+1}^{e|p}}{k_{t}^{e|p}}+\frac{\Delta k_{t+1}^{F|e}}{k_{t}^{F|e}}\right) k_{t}^{e,F} A_{t} \end{aligned}$$

(A.1)

Using (3) we have

$$\begin{aligned} \Delta A_{t+1}=(1-k_{t}^{p}) \left( \frac{\Delta Q_{t+1}^{np}}{Q_{t}^{np}}-\frac{\Delta Q_{t+1}^{p}}{Q_{t}^{p}} \right) A_{t}+ \frac{\Delta Q_{t+1}^{p}}{Q_{t}^{p}} A_{t} +S_{t+1} \end{aligned}$$

(A.2)

Using (5)–(7), this can be written as

$$\begin{aligned} \Delta A_{t+1}= & {} (1-k_{t}^{p}) \left( \frac{\Delta Q_{t+1}^{np}}{Q_{t}^{np}}-\frac{\Delta Q_{t+1}^{p}}{Q_{t}^{p}} \right) A_{t}+ (1-k_{t}^{e|p}) \left( \frac{\Delta Q_{t+1}^{b}}{Q_{t}^{b}} -\frac{\Delta Q_{t+1}^{e}}{Q_{t}^{e}} \right) A_{t} \nonumber \\&+\, (1- k_{t}^{F|e}) \left( \frac{\Delta Q_{t+1}^{e,H}}{Q_{t}^{e,H}}- \frac{\Delta Q_{t+1}^{e,F}}{Q_{t}^{e,F}} \right) A_{t}+ \frac{\Delta Q_{t+1}^{e,F}}{Q_{t}^{e,F}}+S_{t+1} \end{aligned}$$

(A.3)

We can use the definition of changes in passive portfolio shares to write this as

$$\begin{aligned} \Delta A_{t+1}=-\frac{\Delta {\tilde{k}}_{t+1}^{p}}{k_{t}^{p}} A_{t}-\frac{\Delta {\tilde{k}}_{t+1}^{e|p}}{k_{t}^{e|p}} A_{t}- \frac{\Delta {\tilde{k}}_{t+1}^{F|e}}{k_{t}^{F|e}}A_{t}+ \frac{\Delta Q_{t+1}^{e,F}}{Q_{t}^{e,F}}A_{t}+S_{t+1} \end{aligned}$$

(A.4)

Substituting this into (A.1), using that $X_{t}^{e,F} \Delta Q_{t+1}^{e,F}=k_{t}^{e,F} A_{t} \Delta Q_{t+1}^{e,F}/Q_{t}^{e,F}$, we obtain the decomposition of equity outflows $Q_{t}^{e,F} \Delta X_{t+1}^{e,F}$ in (15).

We can similarly derive the decomposition of equity outflows to individual countries. Differentiating (17), we have

$$\begin{aligned}&Q_{t}^{e,F,n} \Delta X_{t+1}^{e,F,n}+X_{t}^{e,F,n} \Delta Q_{t+1}^{e,F,n}= k_{t}^{e,F,n} \Delta A_{t+1}\nonumber \\&\quad + \left( \frac{\Delta k_{t+1}^{p}}{k_{t}^{p}}+\frac{\Delta k_{t+1}^{e|p}}{k_{t}^{e|p}}+\frac{\Delta k_{t+1}^{F|e}}{k_{t}^{F|e}}+\frac{\Delta k_{t+1}^{n|e,F}}{k_{t}^{n|e,F}} \right) k_{t}^{e,F,n} A_{t} \end{aligned}$$

(A.5)

We can write $X_{t}^{e,F,n} \Delta Q_{t+1}^{e,F,n}=k_{t}^{e,F,n} A_{t} \Delta Q_{t+1}^{e,F,n}/Q_{t}^{e,F,n}$. From (A.4) we have

$$\begin{aligned} k_{t}^{e,F,n} \Delta A_{t+1}-k_{t}^{e,F,n} A_{t} \frac{\Delta Q_{t+1}^{e,F,n}}{Q_{t}^{e,F,n}}= & {} -\frac{\Delta {\tilde{k}}_{t+1}^{p}}{k_{t}^{p}}k_{t}^{e,F,n} A_{t}-\frac{\Delta {\tilde{k}}_{t+1}^{e|p}}{k_{t}^{e|p}} k_{t}^{e,F,n}A_{t}\nonumber \\&-\, \frac{\Delta {\tilde{k}}_{t+1}^{F|e}}{k_{t}^{F|e}}k_{t}^{e,F,n}A_{t}- \frac{\Delta {\tilde{k}}_{t+1}^{n|e,F}}{k_{t}^{n|e,F}}k_{t}^{e,F,n}A_{t}+k_{t}^{e,F,n} S_{t+1} \end{aligned}$$

(A.6)

Substituting this into (A.5) gives the decomposition of equity outflows $Q_{t}^{e,F,n} \Delta X_{t+1}^{e,F,n}$ to country n shown in (18).

Appendix B: Portfolio Reallocation and Portfolio Rebalancing

As pointed out in Sect. 2.4, the relationship between portfolio rebalancing and portfolio reallocation depends on the nature of the shocks and parameters. A couple of examples will help illustrate the point. First consider an increase in the relative supply of country n equity. This will lower its relative price. There will then be a demand shift toward country n for two reasons: The lower price raises its expected return and the lower price creates a desire to rebalance the portfolio toward country n. Which of these dominate depends on how sensitive portfolios are to expected returns, which depends for example on risk aversion. If portfolios are not very sensitive to expected returns, almost all of the reallocation is associated with portfolio rebalancing. If portfolios are very sensitive to expected returns, equilibrium prices change very little and very little of the portfolio reallocation is associated with rebalancing.

A different type of shock is one where asset supplies do not change, but instead there is a portfolio demand shift toward country n by all investors, for example as a result of reduced risk of country n equity. Since asset supplies do not change, in equilibrium portfolio demand will not change either. There will be no portfolio reallocation toward or away from country n. But this is because rebalancing away from country n (due to a higher equity price) is offset by a higher equilibrium portfolio share invested in country n (supply has not changed and the price has increased).

As a final example, consider a portfolio shift toward foreign equity and away from domestic equity by investors in all countries. For each country, foreigners want to hold more of its equity and domestic investors less. If total equity demand (by domestic and foreign investors) does not change in any country, equity prices do not change either. In this case there is positive reallocation toward foreign equity, but no portfolio rebalancing as equity prices do not change.

The reported results on the relationship between portfolio reallocation and rebalancing vary by type of reallocation as well. Portfolio–non-portfolio reallocation is more closely associated with rebalancing than is the case for the other reallocation components. When two assets are not close substitutes, investors are less willing to change their allocation between the assets. A change in relative asset supplies will then lead to greater rebalancing. Portfolio rebalancing plays a less important role when agents for various reasons wish to change their allocation across the assets a lot. Since portfolio and non-portfolio assets are very different in nature (non-portfolio assets include for example real estate and bank deposits), they are not close substitutes, explaining the larger importance of rebalancing.

References

Ahmed, Shaghil, Stephanie E. Curcuru, Francis E. Warnock and Andrei Zlate. 2017. Decomposing international portfolio flows, working paper.Google Scholar
Albuquerque, Rui, Gregory H. Bauer, and Martin Schneider. 2007. International equity flows and returns: A quantitative equilibrium approach. Review of Economic Studies 74(1): 1–30.CrossRefGoogle Scholar
Albuquerque, Rui, Gregory H. Bauer, and Martin Schneider. 2009. Global private information in international equity markets. Journal of Financial Economics 94(1): 18–46.CrossRefGoogle Scholar
Avdjiev, Stefan, Bryan Hardy, Sebnem Kalemli-Ozcan and Luis Serven. 2017. Gross capital flows by banks, Corporates and Sovereigns, working paper.Google Scholar
Bacchetta, Philippe and Eric van Wincoop. 2017. Gradual portfolio adjustment: Implications for global equity portfolios and returns. working paper, University of Virginia.Google Scholar
Bertaut, Carol C. and Ruth Judson. 2014. Estimating U.S. cross-border securities positions: New data and new methods. Board of Governors of the Federal Reserve System (U.S.), International Finance Discussion Paper 1113.Google Scholar
Bertaut, Carol C. and Ralph W. Tryon 2007. Monthly estimates of U.S. cross-border securities positions. Board of Governors of the Federal Reserve System (U.S.), International Finance Discussion Paper 910.Google Scholar
Broner, Fernando, Tatiana Didier, Aitor Erce, and Sergio L. Schmukler. 2013. Gross capital flows: Dynamics and crises. Journal of Monetary Economics 60: 113–133.CrossRefGoogle Scholar
Bruno, Valentina, and Hyun Song Shin. 2015. Cross-border banking and global liquidity. Review of Economic Studies 82: 535–564.CrossRefGoogle Scholar
Burger, John D., Francis E. Warnock, and Veronica C. Warnock. 2018. Benchmarking portfolio flows. IMF Economic Review 66 (3): 527–563.CrossRefGoogle Scholar
Cerutti, Eugenio, Stijn Claessens, and Lev Ratnovski. 2017. Global liquidity and cross-border bank flows. Economic Policy 32 (89): 81–125.CrossRefGoogle Scholar
Cerutti, Eugenio, Stijn Claessens and Andrew K. Rose 2017. How important is the global financial cycle? evidence from capital flows. NBER Working Paper 23699.Google Scholar
Cerutti, Eugenio, Stijn Claessens, and Damien Puy. 2019. Push factors and capital flows to emerging markets: Why knowing your lender matters more than variables. Journal of International Economics. (forthcoming)Google Scholar
Curcuru, Stephanie E., Tomas Dvorak, and Francis E. Warnock. 2008. Cross-border return differentials. Quarterly Journal of Economics 123(4): 1495–1530.CrossRefGoogle Scholar
Curcuru, Stephanie E., Charles P. Thomas, Francis E. Warnock, and Jon Wongswan. 2011. US international equity investment and past and prospective returns. American Economic Review 101: 3440–3455.CrossRefGoogle Scholar
Curcuru, Stephanie E., Tomas Dvorak, and Francis E. Warnock. 2010. Decomposing the U.S. external returns differential. Journal of International Economics 80(1): 22–32.CrossRefGoogle Scholar
Davis, J. Scott, Giorgio Valente and Eric van Wincoop. 2019. The global capital flows cycle: Impact on gross and net capital flows. NBER Working Paper 25721.Google Scholar
Davis, J.Scott, and Eric van Wincoop. 2018. Globalization and the increasing correlation between capital inflows and outflows. Journal of Monetary Economics 100: 83–100.CrossRefGoogle Scholar
Devereux, Michael B., and Alan Sutherland. 2007. Monetary policy and portfolio choice in an open economy macro model. Journal of the European Economic Association 5: 491–499.CrossRefGoogle Scholar
Devereux, Michael B., and Alan Sutherland. 2010. Country portfolio dynamics. Journal of Economic Dynamics and Control 34: 1325–1342.CrossRefGoogle Scholar
Didier, Tatiana, and Alexandre Lowenkron. 2012. The current account as a dynamic portfolio choice problem. Journal of The Japanese and International Economies 26: 518–541.CrossRefGoogle Scholar
Dou, Winston W. and Adrien Verdelhan. 2017. The volatility of international capital flows and foreign assets. working paper.Google Scholar
Evans, Martin D.D., and Viktoria V. Hnatkovska. 2014. International capital flows, returns and world financial integration. Journal of International Economics 92(1): 14–33.CrossRefGoogle Scholar
Fratzscher, Marcel. 2012. Capital flows, push versus pull factors and the global financial crisis. Journal of International Economics 88: 341–356.CrossRefGoogle Scholar
Gabaix, Xavier, and Matteo Maggiori. 2015. International liquidity and exchange rate dynamics. The Quarterly Journal of Economics 130(3): 1369–1420.CrossRefGoogle Scholar
Guo, Kai, and Keyu Jin. 2009. Composition and growth effects of the current account: A synthesized portfolio view. Journal of International Economics 79: 31–41.CrossRefGoogle Scholar
Hau, Harald, and Helene Rey. 2006. Exchange rates, equity prices, and capital flows. Review of Financial Studies 19(1): 273–317.CrossRefGoogle Scholar
Hnatkovska, Viktoria V. 2010. Home bias and high turnover: Dynamic portfolio choice with incomplete markets. Journal of International Economics 80(1): 113–128.CrossRefGoogle Scholar
Koepke, Robin. 2015. What drives capital flows to emerging markets: A survey of the empirical literature. IIF Working Paper.Google Scholar
Milesi-Ferretti, and Cedric Tille. 2011. The great retrenchment: International capital flows during the global financial crisis. Economic Policy 26(66): 289–346.CrossRefGoogle Scholar
Sarno, Lucio, Ilias Tsiakas, and Barbara Ulloa. 2016. What drives international portfolio flows? Journal of International Money and Finance 60: 53–72.CrossRefGoogle Scholar
Tille, Cédric, and Eric van Wincoop. 2010a. International capital flows. Journal of International Economics 80(2): 157–175.CrossRefGoogle Scholar
Tille, Cédric, and Eric van Wincoop. 2010b. A new perspective on the “new rule” for the current account. Journal of International Economics 80(1): 89–99.CrossRefGoogle Scholar
Tille, Cédric, and Eric van Wincoop. 2014. International capital flows under dispersed private information. Journal of International Economics 93(1): 31–49.CrossRefGoogle Scholar
Warnock, Francis E., and Veronica Cacdac Warnock. 2009. International capital flows and U.S. interest rates. Journal of International Money and Finance 28: 903–919.CrossRefGoogle Scholar

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Authors and Affiliations

Gao Meng
- 1
Eric van Wincoop
- 1
- 2
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1.University of VirginiaCharlottesvilleUSA
2.NBERCambridgeUSA

A Decomposition of International Capital Flows

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