Country Risk Premium (CRP): What It Is and How To Calculate It

Definicion de Country Risk Premium (CRP): What It Is and How To Calculate It

El Country Risk Premium (CRP) es el riesgo extra que los inversionistas deben considerar al invertir en un país diferente al suyo. Se calcula tomando en cuenta los factores económicos, políticos y sociales del país, así como también su solidez financiera y la probabilidad de incumplimiento de deuda. Calcularlo implica evaluar diferentes variables y métodos, como el riesgo soberano y los diferenciales de tasas de interés.

What Is Country Risk Premium (CRP)?

Country Risk Premium (CRP) is the additional return or premium demanded by investors to compensate them for the higher risk associated with investing in a foreign country than in the domestic U.S. market. Overseas investment opportunities are accompanied by higher risk because of the plethora of geopolitical and macroeconomic risk factors that must be considered. These increased risks make investors wary of investing in foreign countries, so they demand a risk premium for investing in them. The country risk premium is generally higher for developing markets than developed nations.

Key Takeaways

  • Country Risk Premium is the additional premium required to compensate investors for the higher risk of investing overseas.
  • CRP is a key factor to be considered when investing in foreign markets.
  • CRP is generally higher for developing markets than for developed nations.
  • CRP estimates the premium investors ask for—it is not a definitive figure.

Calculating Country Risk Premium

The most reliable method for calculating a CRP that equity investors can use includes a country’s spread on sovereign debt, the annualized standard deviation of one of its equity indexes, and the annualized standard deviation for its sovereign bond market index. The generally accepted formula for country risk premium is:

Spread on Sovereign Bond Yield (Annualized Standard Deviation on Equity Index / Annualized Standard Deviation on Bond Index)

Note that for the purposes of this calculation, a country’s sovereign bonds should be denominated in a currency where a default-free entity exists, such as the U.S. dollar or Euro.

Annualized standard deviation is a measure of volatility. The rationale behind comparing the stock and sovereign bond market volatility for a specific country in this method is that they compete with each other for investor funds. Thus, if a country’s stock market is significantly more volatile than the sovereign bond market, its CRP would be on the higher side, implying that investors would demand a larger premium to invest in the country’s equity market (compared to the bond market) as it would be deemed riskier.

Example

It’s best (and easiest) to use work already done by experts to calculate premium risk spread. Damodoran uses average relative volatility to determine a multiplier for calculating CRP. The image below shows his results:

Aswath Damodoran


Using information from Damodoran’s spreadsheet and the website, you’ll find that as of information published on June 14, 2023, Angola had a default spread of 6.95%, and the risk premium for a mature market was 5.00%. The average relative volatility multiplier for the period was 1.42.

Since the risk premium calculated in this manner is applicable to equity investing, CRP, in this case, is synonymous with Country Equity Risk Premium, and the two terms are often used interchangeably.

The formula, in this case, to solve for the Equity Risk Premium would be:

(Default Spread x Average Relative Volatility Multiplier) + Risk Premium for a Mature Market

For the country of Angola, this equation solves as follows:

(6.95% x 1.42) + 5.00% = 9.86% + 5.00% = 14.86%

Factors Affecting Risk Premium

Country risk encompasses numerous factors, including:

  • Political instability
  • Economic risks such as recessionary conditions or higher inflation
  • Sovereign debt burden and default probability
  • Currency fluctuations
  • Adverse government regulations (such as expropriation or currency controls)

Country risk is a key factor when investing in foreign markets. Most national export development agencies have in-depth dossiers on the risks associated with doing business in various countries around the world.

Country Risk Premiums can significantly impact valuation and corporate finance calculations. The calculation of CRP involves estimating the risk premium for a mature market such as the United States and adding a default spread to it.

Concerns About CRP

CRP for a particular country can be estimated by comparing the spread on sovereign debt yields between the country and a mature market like the U.S. It can also be estimated using the Equity Risk Method, as demonstrated previously, which is measured on the basis of the relative volatility of equity market returns between a specific country and a developed nation.

However, there are drawbacks to both methods. If a country is perceived to have an increased risk of defaulting on its sovereign debt, yields on its sovereign debt would soar, as was the case for several European countries in the second decade of the current millennium. In such cases, the spread on sovereign debt yields may not necessarily be a useful indicator of the risks faced by investors in such countries.

As for the equity risk method, it may significantly understate CRP if a country’s market volatility is abnormally low because of market illiquidity and fewer public companies, which may be characteristic of some frontier markets.

Countries With the Highest CRP

Aswath Damodaran, a finance professor at NYU’s Stern School of Business, maintains a public database of his CRP estimates that are widely used in the finance industry. As of August 2023, the countries with the highest CRPs are shown in the table below. The table displays equity risk premium in the second column and CRP in the third column. As noted earlier, CRP calculation entails estimating the risk premium for a mature market and adding a default spread to it.

Damodaran assumes the risk premium for a mature equity market is 5.00% (as of July 14, 2023). So, using that figure, you can see that each country’s equity risk premium is 5% higher than its country risk premium.

Countries With the Highest CRP
CountryEquity Risk PremiumCountry Risk Premium
Belarus29.82%24.82%
Lebanon29.82%24.82%
Sudan29.82%24.82%
Syria29.82%24.82%
Venezuela29.82%24.82%
Argentina23.21%18.21%
Cuba23.21%18.21%
Ghana23.21%18.21%
Haiti23.21%18.21%
Korea, D.P.R.23.21%18.21%

Incorporating CRP into the CAPM

The Capital Asset Pricing Model (CAPM) can be adjusted to reflect the additional risks of international investing. The CAPM details the relationship between systematic risk and expected return for assets, particularly stocks. The CAPM model is widely used throughout the financial services industry for the purposes of pricing risky securities, generating subsequent expected returns for assets, and calculating capital costs.

CAPM Function:


r a = r f + β a ( r m − r f ) where: r f = risk-free rate of return β a = beta of the security r m = expected market return \begin{aligned} &\text{r}_\text{a} = \text{r}_\text{f} + \beta_\text{a} ( \text{r}_\text{m} – \text{r}_\text{f} ) \\ &\textbf{where:} \\ &\text{r}_\text{f} = \text{risk-free rate of return} \\ &\beta_\text{a} = \text{beta of the security} \\ &\text{r}_\text{m} = \text{expected market return} \\ \end{aligned}
​ra​=rf​+βa​(rm​−rf​)where:rf​=risk-free rate of returnβa​=beta of the securityrm​=expected market return​

There are three approaches for incorporating a Country Risk Premium into the CAPM so as to derive an Equity Risk Premium that can be used to assess the risk of investing in a company located in a foreign country.

The first approach assumes that every company in the foreign country is equally exposed to country risk. While this approach is commonly used, it makes no distinction between any two companies in the foreign country, even if one is a huge export-oriented firm and the other is a small local business. In such cases, CRP would be added to the mature market expected return so that CAPM would be:


R e = R f + β ( R m − R f ) + CRP \begin{aligned} &\text{R}_\text{e} = \text{R}_\text{f} + \beta ( \text{R}_\text{m} – \text{R}_\text{f} ) + \text{CRP} \\ \end{aligned}
​Re​=Rf​+β(Rm​−Rf​)+CRP​

The second approach assumes that a company’s exposure to country risk is similar to its exposure to other market risk. Thus,


R e = R f + β ( R m − R f + CRP ) \begin{aligned} &\text{R}_\text{e} = \text{R}_\text{f} + \beta ( \text{R}_\text{m} – \text{R}_\text{f} + \text{CRP} ) \\ \end{aligned}
​Re​=Rf​+β(Rm​−Rf​+CRP)​

The third approach considers country risk as a separate risk factor, multiplying CRP with a variable (generally denoted by lambda or λ). In general terms, a company that has significant exposure to a foreign country—by virtue of getting a large percentage of its revenues from that country or having a substantial share of its manufacturing located there—would have a higher λ value than a company that is less exposed to that country.

Example

If a company considering setting up a project in Country A had the following parameters, its cost of equity calculation would look like:


CRP for Country A = 7.0 % R f = risk-free rate = 2.5 % R m = expected market return = 7.5 % Project Beta = 1.25 Cost of equity = R f + β ( R m − R f + CRP ) Cost of equity = 2.5 % + 1.25   ( 7.5 % − 2.5 % + 7.0 ) Cost of equity = 17.5 % \begin{aligned} &\text{CRP for Country A} = 7.0\% \\ &\text{R}_\text{f} = \text{risk-free rate} = 2.5\% \\ &\text{R}_\text{m} = \text{expected market return} = 7.5\% \\ &\text{Project Beta} = 1.25 \\ &\text{Cost of equity} = \text{R}_\text{f} + \beta ( \text{R}_\text{m} – \text{R}_\text{f} + \text{CRP} ) \\ &\phantom{\text{Cost of equity}} = 2.5\% + 1.25 \ ( 7.5\% – 2.5\% + 7.0 )\\ &\phantom{\text{Cost of equity}} = 17.5\% \end{aligned}
​CRP for Country A=7.0%Rf​=risk-free rate=2.5%Rm​=expected market return=7.5%Project Beta=1.25Cost of equity=Rf​+β(Rm​−Rf​+CRP)Cost of equity=2.5%+1.25 (7.5%−2.5%+7.0)Cost of equity=17.5%​

Pros and Cons of Country Risk Premium

While most would agree that country risk premia help by representing that a country, such as Myanmar, would present more uncertainty than Germany, for instance, some opponents question the utility of CRP. Some suggest that country risk is diversifiable. With regard to the CAPM described above, along with other risk and return models—which entail non-diversifiable market risk—the question remains as to whether additional emerging market risk can be diversified away. In this case, some argue no additional premia should be charged.

Others believe the traditional CAPM can be broadened into a global model, thus incorporating various CRPs. In this view, a global CAPM would capture a single global equity risk premium, relying on an asset’s beta to determine volatility. A final argument rests on the belief that country risk is better reflected in a company’s cash flows than the utilized discount rate. Adjustments for possible negative events within a nation, such as political and/or economic instability, would be worked into expected cash flows, therefore eliminating the need for adjustments elsewhere in the calculation.

Special Considerations

BlackRock, the world’s largest asset manager, has a «Geopolitical Risk Dashboard» that analyzes leading risks. As of Jul 2023, these risks included:

  • U.S.-China Relations
  • Russia-NATO Conflict
  • Major Cyberattacks
  • Gulf Tensions
  • Major Terror Attacks
  • Emerging Markets Political Crisis
  • North Korea Conflict
  • Climate Policy Gridlock
  • European Fragmentation

While some of these issues may be resolved in time, it would seem prudent to account for these risk factors in evaluating returns from a project or investment located in a foreign country.

What Are the Three Types of Risk Premium?

There are five generally assumed risk premiums—business risk, financial risk, liquidity risk, exchange-rate risk, and country-specific risk.

How Do You Calculate the Country risk Premium?

You estimate a country’s risk premium by multiplying the default spread by the equity market volatility.

What Is the CAPM Country Risk Premium?

A country’s equity risk premium is used in the Capital Asset Pricing Model to estimate the cost of equity.

The Bottom Line

Overall, the CRP serves a useful purpose by quantifying the higher return expectations for investments in foreign jurisdictions, which undoubtedly have an additional layer of risk compared with domestic investments. As of 2023, the risks of overseas investing appear to be somewhat constant, given trade tensions and other global concerns.

Preguntas Frecuentes

Preguntas frecuentes:

1. ¿Qué es el Country Risk Premium (CRP)?
El Country Risk Premium (CRP) es la prima adicional o rendimiento exigido por los inversores para compensar el mayor riesgo asociado con la inversión en un país extranjero en comparación con el mercado doméstico de Estados Unidos.

2. ¿Cómo se calcula el Country Risk Premium?
El método más confiable para calcular el CRP que los inversores de acciones pueden utilizar incluye la diferencia en el rendimiento de los bonos soberanos de un país, la desviación estándar anualizada de uno de sus índices de acciones y la desviación estándar anualizada de su índice de bonos soberanos. La fórmula generalmente aceptada para el CRP es: Diferencia en el rendimiento de los bonos soberanos (Desviación estándar anualizada del índice de acciones / Desviación estándar anualizada del índice de bonos).

3. ¿Qué factores afectan el Country Risk Premium?
El riesgo del país abarca numerosos factores, como la inestabilidad política, los riesgos económicos como condiciones recesivas o mayor inflación, la carga de la deuda soberana y la probabilidad de incumplimiento, las fluctuaciones de la moneda y las regulaciones gubernamentales adversas. Estos factores pueden aumentar o disminuir el CRP de un país.

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