Index

Abstract

Using signal extraction, this study identifies leading indicators of financial crisis over the period 1980-2015 in developing and advanced economies. The study evaluates vulnerability in the external, public and financial sector in developing countries. The results postulate that the level of imports is the principal leading indicator for detecting a forthcoming crisis in developing nation’s external sector. In the public sector, the best indicators for predicting a crisis in South Africa are in the order: maturity of debt; external debt; debt-GDP ratio; interest rate payments; short-term debt and government expenditure. In Namibia, the best indicator for predicting crisis is total expenditure and interest rate payments. Comparatively, Russia’s crises are better predicted by the following variables: debt ratio; interest rate payments; short-term debt; expenditure and external debt. The two best indicators were debt ratio and interest rate payments. In the financial sector, the common risk indicator among developing economies is the lending rate. The external balance sheet assessment shows that in developed countries, predictors of a financial emanate from portfolio investments and direct investments. For the UK, the best indicators of a looming financial crisis are: direct investment liabilities; portfolio debt liabilities and direct investment debt instruments.  

Keywords: Signal extraction, Financial crisis, Threshold,Indicator.

Received: 15 October 2018 / Revised: 21 November 2018 / Accepted: 24 December 2018/ Published: 2 January 2019

Contribution/ Originality

This study is one of the first contributions in early warning systems that assesses vulnerability in multiple sectors of an economy which are external, public and financial sectors. To the best of the author’s knowledge, this study is also the first to determine external balance sheet assessment in developed nations.


1. INTRODUCTION

The 1997 Asian currency crises which began in Thailand sparked interest in developing early warning systems. The lack of foreign currency to  support high foregin debt by the Thai government raised curiosity as to whether the crises could have been predicted. Kaminsky et al. (1998) postulate that there is a need to develop a warning system to monitor whether the country is on the brink of a crisis. Theoretical foundation of indicators of loooming crises is indicated by Krugman (1979) highlighting weaknesses in economic fundamentals. Krugman’s model stipulate that under a fixed exchange rate regime, an increase in credit causes a decline in international reserves. A government attempting to prevent its currency from appreciating will experience high inflation.The loss in reserves causes a speculative attack on the local currency due to risk aversion and loss avoidance of investors charaterised by high capital outflows. Therefore the loss in international  reserves is an indicator of a imminent crisis.

Simultaneously, an increase in domestic credit is a good signal for imminent crisis. The indicators of a looming currency are not limited to these factors only. High government expenditure induces domestic demand for money and this causes fiscal imbalances. Following Krugman, there have been many developments attempting to predict a crisis. Further studies show that when monetary policy implementation is transparent and predictable, a change in the exchange rate regime from fixed to float is led by a speculative attack since fixed exchange rates are backed with large reserves (Agenor et al., 1991). The change is an alarm to investors that the currency could collapse due to overvaluation. Nonetheless crisis vulnerability may develop without major changes in the trends of economic fundamental for example the subprime bubble during the 2007-2008 Global Financial Crisis (Kaminsky et al., 1998).  Krugman also did not account for external conditions that can contribute to a crisis outbreak. Gulcin and Sutherland (1995) devised  a model where under a fixed ecxchange rate regime, an increase in foreign interest rates induced high domestic interest rates  and declining output. If the interest rate differential increases beyond the threshold, domestic output declines sharply therefore a change in regime is necessary. Therefore the output, and interest rate differential are indicators of a imminent crisis. Similary in the financial sector high interest rates disrupts the banking system by reducing lending. This may necessitate authorities to devalue the domestic currency or drastically reduce interest rates (Velasco, 1987; Kaminsky et al., 1998). The signals of a collapsing banking sytem include significant number of nonperforming loans, high central bank credit to banks and a sharp decline in deposits (Kaminsky et al., 1998). Expectations of a collapse of the fixed exchange rate regime, causes a decline in unemployment, higher wages and lagging output necessitating a change in regime for higher productivity (Obstfeld, 1994). In the course of the development of early warning systems, there is consensus that no matter the advancement of the model, the crises forecasts will be inaccurate (Abiad, 2003). Early procedures for prospecting a crisis are signal extraction and probit models.  The signal approach is based on examining the trend of indicators (Kaminsky et al., 1998; Kaminsky, 1999; Kaminsky and Reinhart, 1999). The definition of a crisis is based on significant decline in reserves and depreciation of the domestic currency.

2. LITERATURE REVIEW

In the aftermath of the 2008 global financial crisis, which affected major advanced economies and developing countries, governments were forced to bail out and recapitalize their failing banking systems. Such intervention resulted in large fiscal deficits at the same time as their economies slowed after the burst of the property bubble. Due to failure to finance debt, many economies have find it increasingly important to construct financial monitoring tools that can forewarn the build-up of such financial turmoil (Dawood et al., 2017). Research on early warning sectors generally focuses on the vulnerabilities to the banking sector (Oet et al., 2013; Ionela, 2014; Kimmel et al., 2016; Coudert and Idier, 2017). Financial imbalance theory is the principal theory used to explain financial stress (Borio and Lowe, 2002a;2002b;2004; Borio and Drehmann, 2009; Oet et al., 2013). Financial imbalances are defined as deviations of financial variables from their mean, so they represent pressures in the financial system (Gramlich and Oet, 2011).

A systemic banking crisis could cost a significant portion of a country’s Gross Domestic Product (GDP) (Davis and Karim, 2008). An Early Warning System (EWS) should assist policy makers in avoiding or reducing the effects of such a crisis (Dabrowski et al., 2016). A leading indicator is a variable that exhibits unusual behavior in the periods preceding a crisis (Kaminsky et al., 1998). Leading indicators are used in EWS for providing a warning of an imminent crisis. Various indicators include credit levels, asset prices, financial regulation, interest rates, exchange rates and GDP (Lainà et al., 2015). Ponomarenko (2013) applied recently developed early warning indicator systems to a cross section of emerging markets. The author employed the standard approach to the assessment of performance (Kaminsky et al., 1998). The signal was issued when the indicator of interest exceeds a threshold. According to the estimates, credit growth and investment turned out to be particularly reliable indicators for forecasting asset price cycle. Early warning indicator systems for emerging countries should account for capital flows (Ponomarenko, 2013). According to Ari (2012) there are three main elements of an early warning system model: methodology, crisis index and explanatory variables. The logit/ probit models (Eichengreen et al., 1995; Frankel and Rose, 1996; Demirgüç-Kunt and Detragiache, 1998;2000; Tsai, 2013; Guru, 2016) the signal approach (Kaminsky et al., 1998; Kaminsky, 1999; Kaminsky and Reinhart, 1999; Oka, 2003) and the Markov-switching approach (Martinez-Peria, 2002) are the most common methods used in the literature. Other studies utilize a regression tree for example (Ghosh and Ghosh, 2003). The multivariate logit-probit seems to be more adequate for the construction of an EWS since it directly evaluates the conditional probability of a crisis given a set of early warning indicators (Abiad, 1999). Frost and Saiki (2014) postulates that capital account openness is associated with a lower probability of currency crises but not in emerging market economies.

Obstfeld et al. (2009a;2009b) found that reserves/M2 ratio predicted depreciations but not financial crises. There is evidence that reserves did not predict the 2008 Global Financial Crisis (Blanchard et al., 2009; Rose and Spiegel, 2009;2010;2011). Only Frankel and Saravelos (2012) support foreign currency reserves as an early warning signal for the 2008 financial crisis. Zigraiova and Jakubik (2015) postulates that early warning systems are better predictors of a looming crisis in the long-run over the short horizon. Potential crisis in financial markets  were better predicted using the stock market instability index (Kim et al., 2009). While there has been significant progress predicting forthcoming crisis, there is a gap in the literature in evaluating crisis from a multi-sectoral perspective. Previous studies crisis prediction is often unrealiabe due to limited scope and not assessing various sectors of the economy. This study contributes by assessing three sectors of selected economies which are external, public and financial. To the best of the author’s knowledge, this study is also the first to carry external balance sheet assessment for developed nations using the signal extraction approach.

2.1. The Real Effective Exchange Rate (REER) as an Ideal Indicator

The vulnerability of to a financial crisis is escalated in an economy with misaligned real exchange rates (Pastor, 1990). Edwards (1989) highlights the detrimental effect of the real exchange rate misalignment on macroeconomic stability. The author notes that exchange rate misalignment generates massive capital flight. Cuddington (1986) refers to capital flight as short-term speculative capital outflows. Dornbusch (1984) associated capital flight with the growth of debt. Macroeconomic instability anticipations causes capital outflows and repatriation induce large and rapid adjustments in both interest and exchange rates. The extent of the situation may lead to depletion of international reserves in defence of the domestic currency, which reduces domestic money supply (Cuddington, 1986). Capital flight also reduces tax base and this increases budget deficit and high costs of foreign borrowing (Cuddington, 1986). The ramifications of high capital flight is that it may not be possible to bring a reflow of capital by altering the domestic policies (Cuddington, 1986). Gouider and Nouira (2014) show that a strong undervaluation may discourage capital flight while a strong overvaluation can stimulate it. The results are similar to previous investigation by Hermes et al. (2002). The author noted that overvaluation of the real exchange rate creates expectations of depreciation of the domestic currency thereby increasing capital outflows.

The Smithsonian Agreement formulated in 1971 necessitated that developed nations should peg their currencies to the US dollar. The Nixon shock caused the collapse of the Bretton Woods System of fixed exchange rates among developed nations. The change led many developing countries to avoid their currencies to be determined by the market  (Coudert and Couharde, 2009). To stimulate economic growth by stabilizing the REER, developing economies adopted crawling pegs and managed floating. The major concern for trade is to avoid instances of REER misalignment, which has economic growth implications. Misalignment is a common occurrence where the RER deviate substantially from the ideal or the equilibrium exchange rate. Lopez-Villavicencio et al. (2012) defines exchange rate misalignment as the gap in percentage between the observed exchange rates and the equilibirum exchange rate.Incidents of misalignment are escalated by globalisation and increasing financial and economic integration. For example, major currency crises in developing nations were instigated by the deviation of the RER from the equilibrium such as 1994 Mexican Currency Crisis; 1997 Asian Currency Crises; and the 1999 Brazilian devaluation. Asian economies’ currencies were significantly misaligned before the currency crisis (Jeong et al., 2010; El‐Shagi et al., 2016).

In developed nations the RER is measured as “the ratio of the foreign to the domestic values of a broad-based price index such as CPI or the deflator for Gross Domestic Product (GDP) expressed in a common currency” (Hinkle and Montiel, 1999). Hinkle and Montiel (1999) define the RER in developing counties as “the relative price of traded goods in terms of non-traded (two good internal real exchange rate), or as the relative prices of exportable and importable goods in terms on non-traded goods (three-good internal real exchange rate) Hinkle and Montiel (1999). The real exchange rate is determined by both internal and external factors (Doroodian et al., 2002; Agbola and Kunanopparat, 2005). The equilibrium real exchange rate depends on the supply-side factors within the economy. Hinkle and Montiel (1999) argue that when accounting for the Balassa-Samuelson effect, rising demand of non-traded improves the trade balance, which eventually appreciates the real exchange rate. Government spending has the potential to appreciate the equilibrium exchange rate. For example, marginal spending of tax income on non-traded goods induces demand, which causes the real exchange rate to appreciate (Dumrongrittikul and Anderson, 2016). The effect changes in the case of traded goods as higher spending from tax income the real exchange rate to depreciate. Rising terms of trade improve the trade balance, which necessitate appreciation of the real exchange rate. Comparatively lower world interest rate causes the currency to depreciate.  Trade policies such as liberalization create an excess supply in the non-traded-goods markets resulting in real exchange rate depreciation.

According to Kaminsky et al. (1998) the deviation of the real exchange rate has the best track record in anticipating an imminent crisis. When applying the Kaminsky et al. (1998) approach the variable also provides signals sufficiently in advance.  The real exchange rate issues less bad signals and provides a higher percentage of goods signal as a percentage of all possible signals issued.

3. METHODOLOGY

3.1. Review of the Ari (2012) Probit Model

In order to determine the predictive power of capital flight for a forthcoming financial crisis, it is imperative to develop an early warning system. An effective early warning system should incorporate a broad variety of indicators since a financial crisis is usually preceded by multiple economic and political factors (Kaminsky et al., 1998). A disadvantage of probit analysis is that it lacks a signalling horizon. Ari (2012) proposed a probit model of the form:

These variables capture the dynamics of a common financial currency crisis, which is characterized by speculative attack, devaluation of the currency and declining reserves due to selling the domestic currency and raising domestic interest rates (Ari, 2012). The crisis index was specified as:

Due to a large selection of explanatory variables, there is a high chance of collinearity between the financial sector explanatory variables. Ari (2012) proposed a financial fragility index composed measuring credit risk, currency risk and a fall in bank deposits. The financial fragility index was expressed as:

3.2. The Signal Extraction Model and Data

The study uses annual data from 1980 to 2015 from various sectors of the economy (see Appendix). Developing nations under this analysis are South Africa, China, Russia and Namibia. Advanced economies include Germany, Belgium, Switzerland, United States, United Kingdom and Norway. The signal extraction proposed by Andreou et al. (2009) will be followed to predict a forthcoming financial crisis. The signal extraction approach is chosen because the model develops earlier studies proposed by Kaminsky et al. (1998); Berg and Patillo (1999); Goldstein et al. (2000) and Edison (2003). The paper contributes by evaluating in-depth crisis vulnerability in multiple sectors of selected developing economies. We further examine external balance sheet exposures in developed nations.   Kaminsky et al. (1998) defines a crisis as a situation characterized by a sharp depreciation of the currency and a large decline in international reserves. Following Andreou et al. (2009) the market pressure is observed when the real exchange rate depreciates and there are reserve losses. Thus a crisis is defined is defined as:

A signal horizon of two years is considered in this study due to ease of access of annual data. Andreou et al. (2009) defines a signal horizon as the time at which a variable is expected to predict a crisis.The effectiveness of individual indicator’s performance would be determined by the performance matrix below (Kaminsky et al., 1998).

Indicator Performance Matrix

Crisis (within 2 years)
No Crisis (within 2 years)
Signal was issued
A
B
No signal was issued
C
D

Following Kaminsky et al. (1998) element A is the number of years where the indicator issued a good signal (signal issued, crisis) while B is the number of years in which the indicator issued a bad signal or noise (signal issued, no crisis). Component C represents the number of years in which the indicator failed to issue a good signal (no signal issued, crisis) and D is the number of months in which the indicator refrained from issuing a signal (no signal issued, no crisis). An ideal indicator would only have elements A and D of the performance matrix. This would mean they are no instances where the indicator issued a false signal (B) and or fails to signal a forthcoming crisis (C).

The first evaluation measures the tendency of individual indicators to issue good signals (A= signal issued, crisis). The performance measure evaluates the number of good signals issued by the indicator as a percentage of the number of years in which good signals could have been issued. The evaluation is depicted as A/(A+C).  The frequency of bad indicators produced by a signal is critical for predicting a forthcoming crisis. This will be evaluated by the ratio B/ (B+D), which shows the number of bad signals issued as a percentage of all possible bad signals. The ratio of bad signals to good signals can be expressed as a ratio to evaluate the extent to which an indicator produces false alarms in proportion to good signals.  This ratio is B/ (B+D)/A/ (A+C). The unconditional probability of a crisis less the unconditional (A/ (A+B) will be used in the evaluation of the best indicators that predict a crisis (A+C)/ (A+B+C+D). The expression is A/ (A+B)-(A+C)/ (A+B+C+D). The criteria for selecting the best indicator is that the indicator should have the lowest percentage of bad signals (B/ (B+D)) and noise-to signal ratio B/ (B+D)/A/ (A+C). In addition, the ideal indicator would also have a high conditional probability over unconditional probability. Three sectors are examined in this study, which are external, public and financial.

The External Sector

Following Ahuja et al. (2017) this sector aims to detect exchange rate misalignments; external imbalances and external balance sheet exposures in emerging markets. Economic variables to be examined here are current account balance; external debt to exports; reserve coverage.

Public Sector

This sector will examine the solvency of an emerging market economy by evaluating liquidity and expenditure. Variables to be examined in this sector are public debt; average maturity of debt; interest expense and public external debt.

Financial Sector

This sector evaluates the stability of the financial sector. An unstable banking sector raises the probability of a financial breakdown. Indicators to be evaluated are foreign liability capital adequacy ratio; return on assets; loan to deposit ratio and credit to GDP. Each sector’s vulnerability index will be constructed as a weighted average of individual indicators, with weights derived from the indicator’s signal-noise ratio. The index ranges between zero (low vulnerability) and one (high vulnerability) for each economy.

4. EMPIRICAL RESULTS

The results of the signal extraction postulate that in the external sector the primary indicator for detecting a forthcoming crisis is imports. The indicator has predicted 100% of crisis events registered in 2 years for South Africa and Namibia. In Russia, the indicator correctly predicted 85% of the crises.  The adjusted noise to signal ratio ranged between 0.10 and 0.20 for South Africa, Russia and Namibia, which depicts a high intrinsic predictive power. In comparison, China has no ideal indicators to predict an imminent crisis in the external sector.

In the public sector the best indicators for predicting a crisis in South Africa are in the order: maturity of debt; external debt; debt-GDP ratio; interest rate payments; short-term debt and expenditure as a percentage of GDP. In comparison to the external sector, the public sector has more indicators that are viable for crisis prediction in all the economies examined. The average maturity of debt in South Africa is the best indicator with no record of bad signals or noise. The indicator also has a significantly low noise to signal ratio due to a zero record of bad signals. Therefore, the indicator has high predictive capabilities of a crisis.

Comparatively, the best indicators for predicting financial crises in China were in the order external debt; short-term debt and maturity of debt. External debt demonstrated the lowest percentage of bad signals and lowest noise-signal ratio of 0.11534 thus exhibiting strong intrinsic predictive power. In Namibia, the best indicator for predicting crisis was total expenditure and interest rate payments. Comparatively, Russia’s crises are better predicted by the following variables: debt ratio; interest rate payments; short-term debt; expenditure and external debt. The two best indicators were debt ratio and interest rate payments.

In the financial sector, the common risk indicator among the economies examined is the lending rate.  The key risk indicators for South Africa are the risk premium, lending rate and the real interest rate. The ideal indicator for risks in the financial sector for China was the lending rate followed by the interest rate spread whereas in Russia the refinancing rate was the best indicator. Comparatively, Namibia’s interest rate spread is the ideal indicator with the lowest noise-signal ratio. Other significant indicators are the risk premium, real interest rate and the lending rate.

Signal Extraction – Public Sector Results

Number of crises for which there are data 
Percentage of crises calleda
Good signals as percentage of possible good signals 
Bad signals as percentage of possible bad signals 
Noise/
P(crisis
P(crisis
signal 
/signal)c
/signal)-
(adjusted)b
P(crisis)d
In terms of the matrix in the text
A/(A+C)
B/(B+D)
B/(B+D)/
A/(A+B)
A/(A+B)-(A+C)/
A/(A+C)
(A+B+C+D)
GDP
26
7.69
15.39
100
6.5
28.57
-43.65
Terms of Trade
27
3.7
7.41
100
13.5
18.18
-56.82
Imports
10
100
100
11.54*
0.12*
76.92
49.15*
Exports
25
20
28
100
3.55
38.9
-11.11
Openness
26
26.92
23.08
100
4.33
37.5
-34.72
Reserves
28
28.57
21.43
100
4.7
42.86
-34.92
Current Account
26
96.15
100
100
1
72.22
0
REER
31
38.71
35.48
100
2.82
68.75
-17.36

GDP (A= 4 B=10 C=22 D=0); Terms of Trade (A= 2 B=9 C=25 D=0); Imports (A=26 B=10 C=0 D=0); Exports (A=7 B=11 C=18 D=0); Openness (A=6 B=10 C=20 D=0);  Reserves (A=6 B=8 C=22 D=0); REER (A=11 B=5 C=20 D=0). aPercentage of crises in which the indicator issued at least one signal in the previous 2 years, out of the total number of crises for which data are available. bRatio of false signals (measured as a proportion of months in which false signals could have been issued) to good signal (measured as a proportion of months in which good signals could have been issued). cPercentage of the signals issued by the indicator that were followed by at least one crisis. dP(crisis) is the unconditional probability of a crisis, (A+C)/ (A+B+C+D) in terms of the matrix.

Tables-2. Performance of Indicators under the Signal Approach China (1982-2015)

Number of crises for which there are data 
Percentage of crises calleda
Good signals as percentage of possible good signals 
Bad signals as percentage of possible bad signals 
Noise
P(crisis/signal)c
P(crisis/signal)-P(crisis)d
/signal (adjusted)b
In terms of the matrix in the text
A/(A+C)
B/(B+D)
B/(B+D)/A/(A+C)
A/(A+B)
A/(A+B)-(A+C)/(A+B+C+D)
Terms of Trade
28
39.29
35.71
100
2.8
62.5
-19.85
GDP
16
0
0
66.7
0
0
-47.06
Current Account
26
7.69
11.54
100
8.67
27.27
-49.2
REER
30
20
20
100
5
60
-28.24
Reserves
26
7.69
11.54
100
8.67
27.27
-49.2
Openness
25
20
28
100
3.57
43.75
-29.78

Terms of Trade: (A=10 B=6 C=18 D=0); GDP (A=0 B=12 C=16 D=6); Current Account (A=3 B=8 C=23 D=0); REER (A=6 B=4 C=24 D=0); Reserves (A=3 B=8 C=23 D=0); Openness (A=7 B=9 C=18 D=0). aPercentage of crises in which the indicator issued at least one signal in the previous 2 years, out of the total number of crises for which data are available. bRatio of false signals (measured as a proportion of months in which false signals could have been issued) to good signal (measured as a proportion of months in which good signals could have been issued). cPercentage of the signals issued by the indicator that were followed by at least one crisis. dP(crisis) is the unconditional probability of a crisis, (A+C)/ (A+B+C+D) in terms of the matrix.

Table-3. Performance of Indicators Under the Signal Approach Russia (1994-2015)

Number of crises for which there are data
Percentage of crises calleda
Good signals as percentage of possible good signals
Bad signals as percentage of possible bad signals
Noise/signal (adjusted)b
P(crisis/signal)c
P(crisis
/signal)-P(crisis)d
In terms of the matrix in the text
A/(A+C)
B/(B+D)
B/(B+D)/A/(A+C)
A/(A+B)
A/(A+B)-(A+C)/(A+B+C+D)
Imports
7
85.71
100
20*
0.20*
70
38.18*
GDP
15
13.33
26.67
100
3.75
36.36
-31.82
Current Account
17
29.41
35.29
100
2.83
54.55
-22.73
REER
16
18.75
31.25
100
3.2
45.45
-27.27
Reserves
19
36.84
42.11
100
2.38
72.73
-13.64
Openness
17
35.29
29.41
100
3.4
50
-27.27
Exports
14
14.29
28.57
100
3.5
33.33
-30.3

Imports (A=7 B=3 C=0 D=12); GDP(A=4 B=7 C=11 D=0); Current Account (A=6 B=5 C=11 D=0); REER (A=5 B=6 C=11 D=0); Reserves (A=8 B=3 C=11 D=0); Openness (A=5 B=5 C=12 D=0); Exports (A=4 B=8 C=10 D=0). aPercentage of crises in which the indicator issued at least one signal in the previous 2 years, out of the total number of crises for which data are available. bRatio of false signals (measured as a proportion of months in which false signals could have been issued) to good signal (measured as a proportion of months in which good signals could have been issued). cPercentage of the signals issued by the indicator that were followed by at least one crisis. dP(crisis) is the unconditional probability of a crisis, (A+C)/ (A+B+C+D) in terms of the matrix.

Table-4. Performance of Indicators Under the Signal Approach Namibia (1990-2015)

Number of crises for which there are data 
Percentage of crises calleda
Good signals as percentage of possible good signals 
Bad signals as percentage of possible bad signals 
Noise
P(crisis
P(crisis
/signal 
/signal)c
/signal)-
(adjusted)b
P(crisis)d
In terms of the matrix in the text
A/(A+C)
B/(B+D)
B/(B+D)/A/(A+C)
A/(A+B)
A/(A+B)-(A+C)/(A+B+C+D)
Openness
21
23.81
23.81
100
4.2
50
-30.77
Terms of Trade
16
0
6.25
100
16
9.09
-52.45
Exports
17
5.88
17.65
100
5.67
25
-40.38
Imports
7
100
100
10.53*
0.11*
77.78
50.85*
GDP
20
20
30
100
3.33
50
-26.92
Current Account
23
91.3
100
100
1
88.42
-0.05
Reserves
24
91.67
100
100
1
92.31
0

Openness (A=5 B=5 C=16 D=0); Terms of Trade (A=1 B=10 C=15 D=0); Exports (A=3 B=9 C=14 D=0); Imports (A=7 B=2 C=0 D=17); GDP (A=6 B=6 C=14 D=0); Current Account (A=23 B=3 C=0 D=0); Reserves (A=24 B=2 C=0 D=0). aPercentage of crises in which the indicator issued at least one signal in the previous 2 years, out of the total number of crises for which data are available. bRatio of false signals (measured as a proportion of months in which false signals could have been issued) to good signal (measured as a proportion of months in which good signals could have been issued). cPercentage of the signals issued by the indicator that were followed by at least one crisis. dP(crisis) is the unconditional probability of a crisis, (A+C)/ (A+B+C+D) in terms of the matrix.

Signal Extraction – Public Sector Results

Table-1. Performance of Indicators Under the Signal Approach South Africa (1975-2015)

Number of crises for which there are data 
Percentage of crises calleda
Good signals as percentage of possible good signals 
Bad signals as percentage of possible bad signals 
Noise/signal (adjusted)b
P(crisis/signal)c
P(crisis/signal)-P(crisis)d
In terms of the matrix in the text
A/(A+C)
B/(B+D)
B/(B+D)/A/(A+C)
A/(A+B)
A/(A+B)-(A+C)/(A+B+C+D)
Debt-GDP
14
78.57
100
14.81*
0.13*
77.78
43.63*
External Debt
9
100
100
12.50*
0.13*
69.23
47.28*
Short-term Debt1
12
83.33
100
34.48*
0.34*
54.55
25.28*
Interest Payments2
10
100
100
32.26*
0.32*
50
25.61*
Maturity of Debt
10
60
100
0*
0*
100
75.61*
Expenditure3
8
87.5
100
48.48*
0.48*
33.33
13.82*
Tax Revenue4
30
33.33
36.67
100
2.73
50
-23.17

1as % of total external debt; 2 as % of total expenses; 3, 4as % of GDP; Debt-GDP (A=14 B=4 C=0 D=23); External Debt (A=9 B=4 C=0 D=28); Interest Payments (A=10 B=10 C=0 D=21); Short-term Debt (A=12 B=10 C=0 D=19); Average Maturity (A=10 B=0 C=0 D=31); Expenditure (% GDP) (A=8 B=16 C=0 D=17); Tax Revenue (A=11 B=11 C=10 D=0). aPercentage of crises in which the indicator issued at least one signal in the previous 2 years, out of the total number of crises for which data are available. bRatio of false signals (measured as a proportion of months in which false signals could have been issued) to good signal (measured as a proportion of months in which good signals could have been issued). cPercentage of the signals issued by the indicator that were followed by at least one crisis. dP(crisis) is the unconditional probability of a crisis, (A+C)/ (A+B+C+D) in terms of the matrix.

Table-2. Performance of Indicators Under the Signal Approach China (1984-2015)

 
Number of
crises for
which there are data
Percentage
of crises
calleda
Good signals
as percentage
of possible
good signals
Bad signals
as percentage
of possible
bad signals
Noise/signal
(adjusted)b
P(crisis
/signal)c
P(crisis
/signal)-
P(crisis)d
In terms of the matrix in the text
A/(A+C)
B/(B+D)
B/(B+D)/A/(A+C)
A/(A+B)
A/(A+B)-(A+C)/(A+B+C+D)
Short-term Debt1
9
100
100
26.09*
0.26*
60
31.88*
Debt-GDP
7
100
100
56
0.56*
33.33
11.46*
Maturity of Debt
7
57.14
100
28*
0.28*
50
28.13*
External Debt
6
100
100
11.54*
0.12*
66.67
47.92*

1as % of total external debt; Short term Debt (A=9 B=6 C=0 D=17); Debt-GDP (A=7 B=14 C=0 D=11); Average Maturity of Debt (A=7 B=7 C=0 D=18); External Debt (A=6 B=3 C=0 D=23). aPercentage of crises in which the indicator issued at least one signal in the previous 2 years, out of the total number of crises for which data are available. bRatio of false signals (measured as a proportion of months in which false signals could have been issued) to good signal (measured as a proportion of months in which good signals could have been issued). cPercentage of the signals issued by the indicator that were followed by at least one crisis. dP(crisis) is the unconditional probability of a crisis, (A+C)/ (A+B+C+D) in terms of the matrix.

Table-3. Performance of Indicators Under the Signal Approach Russia (1995-2015)

 
Number of crises for which there are data
Percentage of crises calleda
Good signals as percentage of possible good signals
Bad signals as percentage of possible bad signals
Noise/signal
(adjusted)b
P(crisis
/signal)c
P(crisis
/signal)-
P(crisis)d
In terms of the matrix in the text
A/(A+C)
B/(B+D)
B/(B+D)/A/(A+C)
A/(A+B)
A/(A+B)-(A+C)/(A+B+C+D)
Debt-GDP
3
33.33
100
14.29*
0.14*
60
42.35*
Maturity of Debt
1
0
100
62.50
0.63
9.91
4.03*
Short-term Debt1
3
33.33
100
21.43*
0.21*
50
32.35*
Interest Payments2
3
33.33
100
14.29*
0.14*
60
42.35*
External Debt
4
100
100
38.46
0.38*
44.44
20.91*
Expenditure3
3
33.33
100
21.43*
0.21
50
32.35*
Tax Revenue4
12
25
0
100
0
0
0

1as % of total external debt; 2 as % of total expenses; 3, 4as % of GDP. Debt-GDP (A=3 B=2 C=0 D=12); Average Maturity of Debt (A=1 B=10 C=0 D=6); Short-term Debt (A=3 B=3 C=0 D=11); Interest Payments (A=3 B=2 C=0 D=12); External Debt (A=4 B=5 C=0 D=8); Expenditure (% of GDP) (A=3 B=3 C=0 D=11); Tax Revenue (A=0 B=5 C=12 D=0). aPercentage of crises in which the indicator issued at least one signal in the previous 2 years, out of the total number of crises for which data are available. bRatio of false signals (measured as a proportion of months in which false signals could have been issued) to good signal (measured as a proportion of months in which good signals could have been issued). cPercentage of the signals issued by the indicator that were followed by at least one crisis. dP(crisis) is the unconditional probability of a crisis, (A+C)/ (A+B+C+D) in terms of the matrix

Table-4. Performance of Indicators Under the Signal Approach Namibia (1999-2015)

 
Number of
crises for
which there are data
Percentage
of crises
calleda
Good
signals as percentage of possible good signals
Bad signals as percentage of possible bad signals
Noise/signal
(adjusted)b
P(crisis
/signal)c
P(crisis
/signal)-
P(crisis)d
In terms of the matrix in the text
A/(A+C)
B/(B+D)
B/(B+D)/A/(A+C)
A/(A+B)
A/(A+B)-(A+C)/(A+B+C+D)
Debt-GDP
3
66.67
100
50
0.50
30
12.35
Interest Payments1
4
100
100
38.46*
0.38*
44.44
20.91*
Expenditure2
4
75
100
30.77*
0.307692*
50
26.47*
Tax Revenue3
13
23.08
30.77
100
3.25
50
-26.47

1 as % of total expenses; 2,3as % of GDP; Debt-GDP (A=3 B=7 C=0 D=7); Interest Payments (A=4 B=5 C=0 D=8); Expenditure (%GDP) (A=4 B=4 C=0 D=9); Tax Revenue (A=4 B=4 C=9 D=0). aPercentage of crises in which the indicator issued at least one signal in the previous 2 years, out of the total number of crises for which data are available. bRatio of false signals (measured as a proportion of months in which false signals could have been issued) to good signal (measured as a proportion of months in which good signals could have been issued). cPercentage of the signals issued by the indicator that were followed by at least one crisis. dP(crisis) is the unconditional probability of a crisis, (A+C)/ (A+B+C+D) in terms of the matrix.

Signal Extraction – Financial Sector Results

Table-5. Performance of Indicators Under the Signal Approach South Africa (1980-2015)

Number of crises for which there are data 
Percentage of crises calleda
Good signals as percentage of possible good signals 
Bad signals as percentage of possible bad signals 
Noise/signal (adjusted)b
P(crisis/signal)c
P(crisis/signal)-P(crisis)d
In terms of the matrix in the text
A/(A+C)
B/(B+D)
B/(B+D)/A/(A+C)
A/(A+B)
A/(A+B)-(A+C)/(A+B+C+D)
Risk Premium1
9
66.67
100
25.93*
0.26*
56.25
31.25*
R. Interest Rate2
6
100
100
40*
0.40*
33.33
16.67*
Treasury Bill R3
27
37.04
25.93
100
3.86
43.75
-31.25
MMR4
27
33.33
22.22
100
4.5
40
-35
Lending Rate
10
80
100
30.77*
0.31*
55.56
27.78*

1Risk Premium on lending (A=9 B=7 C=0 D=20); 2Real Interest Rate (A= 6 B=12 C=0 D=18); 3Treasury Bill Rate (A=7 B=9 C=20 D=0); 4Money Market Rate (A=6 B=9 C=21 D=0); Lending Rate (A=10 B=8 C=0 D=18). aPercentage of crises in which the indicator issued at least one signal in the previous 2 years, out of the total number of crises for which data are available. bRatio of false signals (measured as a proportion of months in which false signals could have been issued) to good signal (measured as a proportion of months in which good signals could have been issued). cPercentage of the signals issued by the indicator that were followed by at least one crisis. dP(crisis) is the unconditional probability of a crisis, (A+C)/ (A+B+C+D) in terms of the matrix.

Table-6. Performance of Indicators Under the Signal Approach China (1980-2015)

Number of crises for which there are data 
Percentage of crises calleda
Good signals as percentage of possible good signals 
Bad signals as percentage of possible bad signals 
Noise/signal (adjusted) b
P(crisis/signal)c
P(crisis/signal)-P(crisis)d
In terms of the matrix in the text
A/(A+C)
B/(B+D)
B/(B+D)/A/(A+C)
A/(A+B)
A/(A+B)-(A+C)/(A+B+C+D)
I.R. Spread1
13
100
100
30.43*
0.30*
65
28.89*
R. Interest Rate2
8
62.5
100
67.86
0.68
29.63
7.41
Lending Rate
7
100
100
24.14*
0.24*
50
30.56*
Deposit Rate
27
33.33
33.33
100
3
50
-25

1Interest Rate Spread (A= 13 B=7 C=0 D=16); 2Real Interest Rate (A=8 B=19 C=0 D=9); Lending Rate (A=7 B=7 C=0 D=22); Deposit Rate (A=9 B=9 C=18 D=0); aPercentage of crises in which the indicator issued at least one signal in the previous 2 years, out of the total number of crises for which data are available. bRatio of false signals (measured as a proportion of months in which false signals could have been issued) to good signal (measured as a proportion of months in which good signals could have been issued). cPercentage of the signals issued by the indicator that were followed by at least one crisis. dP(crisis) is the unconditional probability of a crisis, (A+C)/ (A+B+C+D) in terms of the matrix.

Table-7. Performance of Indicators under the Signal Approach Russia (1995-2015)

Number of crises for which there are data 
Percentage of crises calleda
Good signals as percentage of possible good signals 
Bad signals as percentage of possible bad signals 
Noise/signal (adjusted) b
P(crisis/signal)c
P(crisis/signal)-P(crisis)d
In terms of the matrix in the text
A/(A+C)
B/(B+D)
B/(B+D)/A/(A+C)
A/(A+B)
A/(A+B)-(A+C)/(A+B+C+D)
Deposit Rate
19
21.05
10.53
100
9.5
50
-40.48
Refinancing Rate
3
66.67
100
11.11*
0.11*
60
45.71*
Lending Rate
2
0
100
10.53*
0.11*
50
40.48*
MMR1
20
1
1
100
0
0
-95.24

Deposit Rate (A=2 B=2 C=17 D=0); Refinancing Rate (A=3 B=2 C=0 D=16); Lending Rate (A=2 B=2 C=0 D=17); 1Money Market Rate (A=0 B=1 C=20 D=0). aPercentage of crises in which the indicator issued at least one signal in the previous 2 years, out of the total number of crises for which data are available. bRatio of false signals (measured as a proportion of months in which false signals could have been issued) to good signal (measured as a proportion of months in which good signals could have been issued). cPercentage of the signals issued by the indicator that were followed by at least one crisis. dP(crisis) is the unconditional probability of a crisis, (A+C)/ (A+B+C+D) in terms of the matrix.

Table-8. Performance of Indicators Under the Signal Approach Namibia (1992-2015)

Number of crises for which there are data 
Percentage of crises calleda
Good signals as percentage of possible good signals 
Bad signals as percentage of possible bad signals 
Noise/signal (adjusted) b
P(crisis/signal)c
P(crisis/signal)-P(crisis)d
In terms of the matrix in the text
A/(A+C)
B/(B+D)
B/(B+D)/A /(A+C)
A/(A+B)
A/(A+B)-(A+C)/(A+B+C+D)
I.R. Spread1
10
60
100
7.69*
0.07*
90
49.09*
R. Interest Rate2
6
50
100
25*
0.25*
60
32.73*
Lending Rate
7
71.43
100
26.67*
0.27*
63.64
31.82*
Deposit Rate
16
31.25
25
100
4
40
-32.73
Risk Premium
6
50
100
25*
0.25*
60
32.73*
Treasury Bill Rate
16
37.5
31.25
100
3.2
45.45
-27.27

1Interest Rate Spread (A=9 B=1 C=0 D=12); 2Real Interest Rate (A=6 B=4 C=0 D=12); Lending Rate (A=7 B=4 C=0 D=11); Deposit Rate (A=4 B=6 C=12 D=0); Risk Premium (A=6 B=4 C=0 D=12); Treasury Bill Rate (A=5 B=6 C=11 D=0); aPercentage of crises in which the indicator issued at least one signal in the previous 2 years, out of the total number of crises for which data are available. bRatio of false signals (measured as a proportion of months in which false signals could have been issued) to good signal (measured as a proportion of months in which good signals could have been issued). cPercentage of the signals issued by the indicator that were followed by at least one crisis. dP(crisis) is the unconditional probability of a crisis, (A+C)/ (A+B+C+D) in terms of the matrix.

Following Ahuja et al. (2017) for each sector a vulnerability index is constructed as a weighted average of individual indicators from the indicator’s signal-to noise ratio. This index ranges between 0 and 1 with 1 depicting high vulnerability.  The weights are given by each indicator’s signal-to noise ratio. A high aggregate risk index depicts high of a capital account crisis. The countries evaluated here are faced with low capital account risks.

Table-9.  Risk Index Aggregation

Country
Sector
Sectoral Index
Aggregate Index
South Africa
External
0.38
0.3
Public
0.27
Financial
0.26
China
External
0.8
0.43
Public
0.22
Financial
0.28
Russia
External
0.44
0.25
Public
0.18
Financial
0.12
Namibia
External
0.4
0.34
Public
0.24
Financial
0.38

Source: Author’s calculations

External Balance Sheet Exposures in Developed Countries

The signal extraction approach is also applied to evaluate vulnerabilities to external and financial crises by examining balance sheet indicators that provide early warning of past crisis in advanced economies. The focus is on financial assets and liabilities from the financial account. According to Ahuja et al. (2017) these indicators are significant predictors of a crisis. The variables examined include assets and liabilities of net foreign assets, direct investment; portfolio investment; equity and debt instruments.

The external balance sheet assessment shows that in developed countries predictors of a financial emanate from portfolio investments and direct investments. For UK, the best indicators are in the order: direct investment liabilities; portfolio debt liabilities and direct investments debt instruments. The three indicators registered the lowest noise to signal ratio. Similarly, in Norway, portfolio debt liabilities, direct investment debt instruments liabilities and direct investment equity liabilities were registered significant indicators. In comparison, direct investment debt instrument liabilities were the best predictors of a financial crisis in Germany and Belgium.  However, in the US, portfolio debt instrument liabilities and direct investment debt instrument liabilities were the best risk indicators. Ideal indicators for risk assessment in Switzerland were direct investment equity liabilities and total direct investment liabilities.  However, in the US, portfolio debt instrument liabilities and direct investment debt instrument liabilities were the best risk indicators.

Signal Extraction: External Balance Sheet Exposure

Table-10. External Balance Sheet Exposure Assessment-Germany (1980-2015)

Number of crises for which there are data 
Percentage of crises called
Good signals as percentage of possible good signals 
Bad signals as percentage of possible bad signals 
Noise/signal (adjusted)
P(crisis/signal)
P(crisis/signal)-P(crisis)
In terms of the matrix in the text
A/(A+C)
B/(B+D)
B/(B+D)/A/(A+C)
A/(A+B)
A/(A+B)-(A+C)/(A+B+C+D)
Portfolio Invest.  (PL)
8
75
100
32.14*
0.32*
47.06
24.84*
Equity & Invest. (PL)
5
80
100
35.48*
0.35*
31.25
17.36*
Debt Instrument (PL)
6
83.33
100
43.33*
0.43*
31.58
14.91*
Direct Invest. (DL)
5
20
100
29.03*
0.29*
35.71
21.83*
Equity & Invest. (DL)
6
66.67
100
23.33*
0.23*
46.15
29.49*
Debt Instrument (DL)
9
77.78
100
22.22*
0.22*
60
35*
Portfolio Invest. (PA)
27
29.62
22.22
100
4.5
40
-35
Equity & Invest. (PA)
29
31.03
27.59
100
3.63
53.33
-27.22
Debt Instruments (PA)
28
32.14
21.43
100
4.67
42.86
-34.92
Direct Invest. (DA)
24
12.5
16.67
100
6
25
-41.67
Equity & Invest. (DA)
26
23.08
19.23
100
5.2
33.33
-38.88
Debt Instrument (DA)
27
25.93
29.63
100
3.38
47.06
-27.94
Net foreign Assets
6
0
0
100
0
0
-40
Other Invest. Assets
29
34.48
34.48
100
2.9
58.82
-21.73

PL= Portfolio Investment Liabilities; DL= Direct Investment Liabilities; PA= Portfolio Investment Assets; DA= Direct Investment Assets. Portfolio Invest. (PL) (A=8 B=9 C=0 D=19); Equity & Invest. (PL) (A=5 B=11 C=0 D=20); Debt Instrument (PL) (A=6 B=13 C=0 D=17); Direct Invest. (DL) (A=5 B=9 C=0 D=22); Equity & Invest. (DL) (A=6 B=7 C=0 D=23); Debt Instrument (DL) (A=9 B=6 C=0 D=21); Portfolio Invest. (PA) (A=6 B=9 C=21 D=0); Equity & Invest. (PA) (A=8 B=7 C=21 D=0); Debt Instruments (PA) (A=4 B=12 C=20 D=0); Direct Invest. (DA) (A=4 B=12 C=20 D=0); Equity & Invest. (DA) (A=5 B=10 C=21 D=0); Debt Instrument (DA) (A=8 B=9 C=19 D=0); Net foreign Assets (A=0 B=9 C=6 D=0); Other Invest. Assets (A=10 B=7 C=19 D=0).

Table-11. External Balance Sheet Exposure Assessment-Belgium (2002-2015)

Number of crises for which there are data 
Percentage of crises called
Good signals as percentage of possible good signals 
Bad signals as percentage of possible bad signals 
Noise/signal (adjusted)
P(crisis/signal)
P(crisis/signal)-P(crisis)
In terms of the matrix in the text
A/(A+C)
B/(B+D)
B/(B+D)/A/(A+C)
A/(A+B)
A/(A+B)-(A+C)/(A+B+C+D)
Portfolio Invest.  (PL)
4
75
100
70
0.7
36.36
7.79
Equity & Invest. (PL)
4
100
100
80
0.8
33.33
4.76
Debt Instrument (PL)
4
50
100
60
0.6
40
11.43
Direct Invest. (DL)
3
100
100
37.50*
0.38*
50
28.57*
Equity & Invest. (DL)
3
66.67
100
45.45*
0.45*
37.5
16.07*
Debt Instrument (DL)
2
50
100
33.33*
0.33*
33.33
19.05*
Portfolio Invest. (PA)
11
45.45
36.36
100
2.75
57.14
-21.57
Equity & Invest. (PA)
10
40
50
100
2
55.56
-15.87
Debt Instruments (PA)
10
70
63.63
100
1.57
70
-8.57
Direct Invest. (DA)
12
33.33
25
100
4
60
-25.71
Equity & Invest. (DA)
11
18.18
0
100
0
0
0
Debt Instrument (DA)
11
45.45
54.54
100
1.83
66.67
-11.9
Net foreign Assets
11
36.36
54.54
100
1.83
54.54
-24.02
Other Invest. Assets
11
63.64
63.64
100
1.57
70
-8.57

PL= Portfolio Investment Liabilities; DL= Direct Investment Liabilities; PA= Portfolio Investment Assets; DA= Direct Investment Assets. Portfolio Invest. (PL) (A=4 B=7 C=0 D=3); Equity & Invest. (PL) (A=4 B=8 C=0 D=2); Debt Instrument (PL) (A=4 B=6 C=0 D=4); Direct Invest. (DL) (A=3 B=3 C=0 D=8); Equity & Invest. (DL) (A=3 B=5 C=0 D=6); Debt Instrument (DL) (A=2 B=4 C=0 D=8); Portfolio Invest. (PA) (A=4 B=3 C=7 D=0); Equity & Invest. (PA) (A=5 B=5 C=5 D=0); Debt Instruments (PA) (A=7 B=3 C=4 D=0); Direct Invest. (DA) (A=3 B=2 C=9 D=0); Equity & Invest. (DA) (A=0 B=3 C=11 D=0); Debt Instrument (DA) (A=6 B=3 C=5 D=0); Net foreign Assets (A=6 B=3 C=5 D=0); Other Invest. Assets (A=7 B=3 C=4 D=0).

Table-12. External Balance Sheet Exposure Assessment- Switzerland (1985-2015)

Number of crises for which there are data 
Percentage of crises called
Good signals as percentage of possible good signals 
Bad signals as percentage of possible bad signals 
Noise/signal (adjusted)
P(crisis/signal)
P(crisis/signal)-P(crisis)
In terms of the matrix in the text
A/(A+C)
B/(B+D)
B/(B+D)/A/(A+C)
A/(A+B)
A/(A+B)-(A+C)/(A+B+C+D)
Portfolio Invest.  (PL)
5
60
100
53.84
0.54
26.32
10.19
Equity & Invest. (PL)
4
25
100
51.85
0.52
22.22
9.1
Debt Instrument (PL)
1
0
100
100
1
4.35
1.11
Direct Invest. (DL)
5
60
100
23.08*
0.23*
45.45
29.36*
Equity & Invest. (DL)
4
25
100
18.52*
0.19*
44.44
31.54*
Debt Instrument (DL)
3
66.67
100
42.86*
0.43*
20
10.32*
Portfolio Invest. (PA)
24
33.33
29.17
100
3.42
50
-27.42
Equity & Invest. (PA)
22
27.27
18.18
100
5.5
30.77
-40.2
Debt Instruments (PA)
23
21.74
17.39
100
5.75
33.33
-40.86
Direct Invest. (DA)
25
28
24
100
4.17
50
-30.65
Equity & Invest. (DA)
24
25
12.5
100
8
30
-37.42
Debt Instrument (DA)
27
22
18.52
100
5.4
55.56
-31.54
Net foreign Assets
26
34.62
32.26
100
3.1
66.67
-33.33
Other Invest. Assets
2
100
100
74.07
0.74
22.22
15.77

PL= Portfolio Investment Liabilities; DL= Direct Investment Liabilities; PA= Portfolio Investment Assets; DA= Direct Investment Assets. Portfolio Invest. (PL) (A=5 B=14 C=0 D=12); Equity & Invest. (PL) (A=4 B=14 C=0 D=13); Debt Instrument (PL) (A=1 B=22 C=0 D=8); Direct Invest. (DL) (A=5 B=6 C=0 D=20); Equity & Invest. (DL) (A=4 B=5 C=0 D=22); Debt Instrument (DL) (A=3 B=12 C=0 D=16); Portfolio Invest. (PA) (A=7 B=7 C=17 D=0); Equity & Invest. (PA) (A=4 B=9 C=18 D=0); Debt Instruments (PA) (A=4 B=8 C=19 D=0); Direct Invest. (DA) (A=6 B=6 C=19 D=0); Equity & Invest. (DA) (A=3 B=7 C=21 D=0); Debt Instrument (DA) (A=5 B=4 C=22 D=0); Net foreign Assets (A=10 B=5 C=16 D=0); Other Invest. Assets (A=2 B=20 C=0 D=7).

Table-13. External Balance Sheet Exposure Assessment- US (1980-2015)

Number of crises for which there are data 
Percentage of crises calleda
Good signals as percentage of possible good signals 
Bad signals as percentage of possible bad signals 
Noise/signal (adjusted)b
P(crisis/signal)c
P(crisis/signal)-P(crisis)d
In terms of the matrix in the text
A/(A+C)
B/(B+D)
B/(B+D)/A/(A+C)
A/(A+B)
A/(A+B)-(A+C)/(A+B+C+D)
Portfolio Invest.  (PL)
7
100
100
24.14*
0.24*
50
30.56*
Equity & Invest. (PL)
7
85.71
100
31.03*
0.31*
43.75
24.31*
Debt Instrument (PL)
9
88.89
100
15.38*
0.15*
71.43
43.65*
Direct Invest. (DL)
10
70
100
19.23*
0.19*
66.67
38.89*
Equity & Invest. (DL)
10
90
100
23.08*
0.23*
62.5
34.72*
Debt Instrument (DL)
8
62.5
100
17.86*
0.18*
61.54
39.31*
Portfolio Invest. (PA)
30
30
31
100
3.22
56.25
-24.31
Equity & Invest. (PA)
31
29.03
32.26
100
3.1
66.67
-19.44
Debt Instruments (PA)
30
26.67
30
100
3.33
60
-23.33
Direct Invest. (DA)
25
16
20
100
5
31.25
-38.19
Equity & Invest. (DA)
25
12
12
100
8.33
21.43
-48.01
Debt Instrument (DA)
28
35.71
17.86
100
5.6
38.46
-39.32
Net foreign Assets
28
96.42
100
100
1
77.78
0
Other Invest. Assets
30
56.67
56.67
100
1.76
73.91
-9.42

PL= Portfolio Investment Liabilities; DL= Direct Investment Liabilities; PA= Portfolio Investment Assets; DA= Direct Investment Assets. Portfolio Invest. (PL) (A=7 B=7 C=0 D=22); Equity & Invest. (PL) (A=7 B=9 C=0 D=20); Debt Instrument (PL) (A=10 B=4 C=0 D=22); Direct Invest. (DL) (A=10 B=5 C=0 D=21); Equity & Invest. (DL) (A=10 B=6 C=0 D=20); Debt Instrument (DL) (A=8 B=5 C=0 D=23); Portfolio Invest. (PA) (A=9 B=7 C=20 D=0); Equity & Invest. (PA) (A=10 B=5 C=21 D=0); Debt Instruments (PA) (A=9 B=6 C=21 D=0); Direct Invest. (DA) (A=5 B=11 C=20 D=0); Equity & Invest. (DA) (A=3 B=11 C=22 D=0); Debt Instrument (DA) (A=5 B=8 C=23 D=0); Net foreign Assets (A=28 B=8 C=0 D=0); Other Invest. Assets (A=17 B=6 C=13 D=0).

Table-14. External Balance Sheet Exposure Assessment- UK (1980-2015)

Number of crises for which there are data 
Percentage of crises calleda
Good signals as percentage of possible good signals 
Bad signals as percentage of possible bad signals 
Noise/signal (adjusted)b
P(crisis/signal)c
P(crisis/signal)-P(crisis)d
In terms of the matrix in the text
A/(A+C)
B/(B+D)
B/(B+D)/A/(A+C)
A/(A+B)
A/(A+B)-(A+C)/(A+B+C+D)
Portfolio Invest.  (PL)
8
62.5
100
21.43*
0.21*
57.14
34.92*
Equity & Invest. (PL)
6
50
100
23.33*
0.23*
46.15
29.49*
Debt Instrument (PL)
6
85.71
100
13.79*
0.14*
63.64
44.19*
Direct Invest. (DL)
6
66.67
100
13.33*
0.13*
60
43.33*
Equity & Invest. (DL)
6
66.67
100
23.33*
0.23*
46.15
29.49*
Debt Instrument (DL)
7
71.43
100
17.24*
0.17*
58.33
38.89*
Portfolio Invest. (PA)
31
48.39
45.16
100
2.21
73.68
-12.43
Equity & Invest. (PA)
24
25
16.67
100
6
25
-41.67
Debt Instruments (PA)
31
51.61
48.39
100
2.07
75
-11.11
Direct Invest. (DA)
30
26.67
26.67
100
3.75
57.14
-26.19
Equity & Invest. (DA)
30
26.67
25
100
4
46.67
-31.11
Debt Instrument (DA)
33
42.42
42.42
100
2.36
82.35
-9.31
Net foreign Assets
30
50
56.67
100
1.76
73.91
-9.42
Other Invest. Assets
31
35.48
38.71
100
2.58
70.58
-15.52

PL= Portfolio Investment Liabilities; DL= Direct Investment Liabilities; PA= Portfolio Investment Assets; DA= Direct Investment Assets. Portfolio Invest. (PL) (A=8 B=6 C=0 D=22); Equity & Invest. (PL) (A=6 B=7 C=0 D=23); Debt Instrument (PL) (A=7 B=4 C=0 D=25); Direct Invest. (DL) (A=6 B=4 C=0 D=26); Equity & Invest. (DL) (A=6 B=7 C=0 D=23); Debt Instrument (DL) (A=7 B=5 C=0 D=24); Portfolio Invest. (PA) (A=14 B=5 C=17 D=0); Equity & Invest. (PA) (A=4 B=12 C=20 D=0); Debt Instruments (PA) (A=15 B=5 C=16 D=0); Direct Invest. (DA) (A=8 B=6 C=22 D=0); Equity & Invest. (DA) (A=7 B=8 C=21 D=0); Debt Instrument (DA) (A=14 B=3 C=19 D=0); Net foreign Assets (A=17 B=6 C=13 D=0); Other Invest. Assets (A=12 B=5 C=19 D=0).

Table-15. External Balance Sheet Exposure Assessment- Norway (1980-2015)

Number of crises for which there are data 
Percentage of crises calleda
Good signals as percentage of possible good signals 
Bad signals as percentage of possible bad signals 
Noise/signal (adjusted)
P(crisis/signal)
P(crisis/signal)-P(crisis)
In terms of the matrix in the text
A/(A+C)
B/(B+D)
B/(B+D)/A/(A+C)
A/(A+B)
A/(A+B)-(A+C)/(A+B+C+D)
Portfolio Invest.  (PL)
8
75
100
10.71*
0.11*
72.73
50.51*
Equity & Invest. (PL)
5
80
100
29.03*
0.29*
35.71
21.83*
Debt Instrument (PL)
8
75
100
10.71*
0.11*
72.72
50.51*
Direct Invest. (DL)
5
80
100
22.58*
0.23*
41.67
27.78*
Equity & Invest. (DL)
7
42.86
100
20.69*
0.21*
53.85
34.40*
Debt Instrument (DL)
5
100
100
19.35*
0.19*
45.45
31.57*
Portfolio Invest. (PA)
36
30.56
36.11
0
0
100
0
Equity & Invest. (PA)
31
9.68
12.9
100
7.75
44.44
-41.67
Debt Instruments (PA)
30
23.33
30
100
3.33
60
-23.33
Direct Invest. (DA)
28
14.29
14.29
100
7
33.33
-44.44
Equity & Invest. (DA)
28
14.29
14.29
100
7
33.33
-44.44
Debt Instrument (DA)
32
34.75
31.25
100
3.2
71.43
-17.46
Net foreign Assets
30
60
100
100
1
83.33
0
Other Invest. Assets
24
25
16.67
100
6
25
-41.67

PL= Portfolio Investment Liabilities; DL= Direct Investment Liabilities; PA= Portfolio Investment Assets; DA= Direct Investment Assets. Portfolio Invest. (PL) (A=8 B=3 C=0 D=25); Equity & Invest. (PL) (A=5 B=9 C=0 D=22); Debt Instrument (PL) (A=8 B=3 C=0 D=25); Direct Invest. (DL) (A=5 B=7 C=0 D=24); Equity & Invest. (DL) (A=7 B=6 C=0 D=23); Debt Instrument (DL) (A=5 B=6 C=0 D=25); Portfolio Invest. (PA) (A=13 B=0 C=23 D=0); Equity & Invest. (PA) (A=4 B=5 C=27 D=0); Debt Instruments (PA) (A=9 B=6 C=21 D=0); Direct Invest. (DA) (A=4 B=8 C=24 D=0); Equity & Invest. (DA) (A=4 B=8 C=24 D=0); Debt Instrument (DA) (A=10 B=4 C=22 D=0); Net foreign Assets (A=30 B=6 C=0 D=0); Other Invest. Assets (A=4 B=12 C=20 D=0).

5. DISCUSSION AND CONCLUSION

This study applied the signal extraction approach to evaluate leading indicators for a financial crisis over the period 1980-2015. The results of the signal extraction postulate that in the external sector the primary indicator for detecting a forthcoming crisis is imports. The indicator has predicted 100% of crisis events registered in 2 years for South Africa and Namibia. In Russia, the indicator correctly predicted 85% of the crises. This suggests that even though developing nations need imports for economic growth, a high level of imports is incompatible with sustainable economic growth. Unsustainable level of imports is related to high external debt in the public sector, which signals a crisis. Developing nations such as China, South Africa and Russia depend on exports for economic growth and internal and external balance. In comparison, China has no ideal indicators to predict an imminent crisis in the external sector. The average maturity of debt in South Africa is the best indicator with no record of bad signals or noise. The indicator also has a significantly low noise to signal ratio due to a zero record of bad signals. Therefore, the indicator has high predictive capabilities of a crisis. Comparatively, the best indicators for predicting financial crises in China were in the order external debt; short-term debt and maturity of debt.  Comparatively, Russia’s crises are better predicted by the following variables: debt ratio; interest rate payments; short-term debt; expenditure and external debt. The two best indicators were debt ratio and interest rate payments. Debt is a concern in developing due to capital flight. A high external debt causes high budget deficits and need inflationary financing. The government will be inclined to impose strict tax obligations on income, profits and capital gains. As a result, investors returns will be drastically reduced leading to capital flight to low-tax rate economies.

In the financial sector, the common risk indicator among the economies examined is the lending rate.  The key risk indicators for South Africa are the risk premium, lending rate and the real interest rate. The ideal indicator for risks in the financial sector for China was the lending rate followed by the interest rate spread whereas in Russia the refinancing rate was the best indicator. Comparatively, Namibia’s interest rate spread is the ideal indicator with the lowest noise-signal ratio. Low lending rates allows consumers to borrow more money resulting in high consumption expenditure. Investment spending relies on low lending rates. If the lending rate is too high, economic agents have no incentive to borrow funds, which will eventually diminish economic growth.

The external balance sheet assessment shows that in developed countries predictors of a financial emanate from portfolio investments and direct investments. For UK, the best indicators are in the order: direct investment liabilities; portfolio debt liabilities and direct investments debt instruments. The three indicators registered the lowest noise to signal ratio. Similarly, in Norway, portfolio debt liabilities, direct investment debt instruments liabilities and direct investment equity liabilities were registered significant indicators. In comparison, direct investment debt instrument liabilities were the best predictors of a financial crisis in Germany and Belgium.  However, in the US, portfolio debt instrument liabilities and direct investment debt instrument liabilities were the best risk indicators. Ideal indicators for risk assessment in Switzerland were direct investment equity liabilities and total direct investment liabilities. The results suggest that developed countries should guard against asset bubbles. Asset bubbles occur when asset prices rise substantially without the underlying economic fundamentals. When the bubble bursts, a recession follows causing internal and external imbalance. While the results are essential for crisis prediction, there are some limitations in early warning systems. For example there are other factors that may increase vulnerability to a crisis that are not captured by the early warning system such as the change of government regime, the level of development of financial instructions, and capital controls (Kaminsky et al., 1998). Research on early warning should also evaluate qualitative factors that may increase exposure to a financial crisis.

Funding: This study received no specific financial support.   
Competing Interests: The author declares that there are no conflicts of interests regarding the publication of this paper.

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APPENDIX

List of Variables

External Sector

Variable
Description
Source
Terms of Trade
Net barter terms of trade index (2000-100)
WDI
Imports 
Imports of goods and services  (constant 2010 U$)
WDI
Exports
Exports of goods and services (constant 2010 U$)
WDI
Openness
Trade (% GDP)
WDI
Reserves
Balance of Payments (BOP) reserves and related items
WDI
Current Account
Balance of Payments current account balance
WDI
REER
Real Effective Exchange Rate (Consumer Price Index)
IFS
GDP
Gross Domestic Product (constant 2010 U$ prices)
WDI

Signal Extraction Indicators (Public Sector)

Variable
Description
Source
Debt-GDP
Debt to GDP ratio
WDI
External Debt
Total external debt stocks 
WDI
Short-term debt
Short-term debt as a percentage of total external debt
WDI
Interest Payments
Interest payments as a percentage of total expenditure
WDI
Maturity of Debt
Average maturity on new external debt commitment (official years)
WDI
Expenditure
Expenditure as a percentage of GDP
WDI
Tax Revenue
Tax revenue as a percentage of GDP
WDI

Financial Sector

Variable
Description
Source
Real Interest Rate
Lending rate adjusted for inflation as measured by the GDP deflator
WDI
Risk Premium
Risk premium on lending
WDI
Interest Rate Spread
Lending rate minus deposit rate
WDI
Deposit Rate
IFS
Lending Rate
IFS
Treasury Bill Rate
IFS
Refinancing Rate
IFS
Money Market Rate
IFS

External Balance Sheet

Variable
Description
Source
Direct Investment
Direct Investment Assets
IFS
Equity and Investment Fund Share
Direct Investment Assets
IFS
Debt Instrument
Direct Investment Assets
IFS
Direct Investment
Direct Investment Liabilities
IFS
Equity and Investment Fund Shares
Direct Investment Liabilities
IFS
Debt Instrument
Direct Investment  Liabilities
IFS
Portfolio Investment 
Portfolio Investment Assets
IFS
Equity and Investment Fund Shares
Portfolio Investment Assets
IFS
Debt Instrument
Portfolio Investment Assets
IFS
Portfolio Investment 
Portfolio Investment Liabilities
IFS
Equity and Investment Fund Shares
Portfolio Investment Liabilities
IFS
Debt Instrument
Portfolio Investment Liabilities
IFS
Other Investment
Assets
IFS
Net Foreign Assets
Assets
WDI

 

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