Abstract

The buy-back equivalent price (BEP) is defined as the ratio of the upfront costs associated with a given debt operation to the amount of debt and debt-service reduction achieved through that operation. This measure provides a convenient benchmark for assessing the relative efficiency of alternative options within a menu, and for comparing the overall terms of a package with conditions in the secondary market. For example, if the buy-back equivalent price of an option in a given menu is lower than the prevailing secondary market price, the debtor is able to obtain more debt or debt-service reduction through the option than would have been possible by using the same amount of resources for a buy-back at the prevailing secondary market price.

Annex I: Evaluation of Debt Exchanges

The buy-back equivalent price (BEP) is defined as the ratio of the upfront costs associated with a given debt operation to the amount of debt and debt-service reduction achieved through that operation. This measure provides a convenient benchmark for assessing the relative efficiency of alternative options within a menu, and for comparing the overall terms of a package with conditions in the secondary market. For example, if the buy-back equivalent price of an option in a given menu is lower than the prevailing secondary market price, the debtor is able to obtain more debt or debt-service reduction through the option than would have been possible by using the same amount of resources for a buy-back at the prevailing secondary market price.

Calculating the BEP is relatively straightforward. It is the ratio of the initial costs of the operation to the expected amount of reduction in contractual claims payable by the debtors to banks.

BEP = Cost/ Debt Reduction,

where

Cost=Costofguarenteesforprincipalandinterest+Castfordownpaymentsandbuybacks

DeptReduction=Debtcancelledthroughdownpaymentsandbuybacks+Debtcanceledthroughdiscounts+Presentvalueofdebtservicereduction+Prepaymentsofprincipaland/orinterestthroughguaranteeaccounts

The initial costs would include the cost of funding any principal and/or interest guarantees required under the terms of a given debt exchange. To obtain a summary statistic for a whole menu, cost calculations would also include any associated downpayments against arrears, as well as upfront costs for any buy-backs included in the menu. The reduction in contractual claims is the sum of the outright reduction in claims implied by the operation (that is, for a buy-back, the amount of debt repurchased; in the case of a discount exchange, the discount multiplied by the amount of debt exchanged; and in the case of a par exchange, the present value of the interest reduction) plus any effective prepayments of principal and interest resulting from the attachment of the guarantee accounts to the new instruments. In cases involving value recovery clauses, the estimated debt reduction should be adjusted downward by an estimate of the future payments arising from the provisions of the value recovery clause.

The inclusion of the guarantee accounts in the calculation of the reduction in contractual claims reflects the fact that if the debtor discharges its obligations on the new debt, the amounts committed to the guarantee accounts will be returned to the debtor. Thus, the debtor does not bear any further net cost corresponding to obligations covered by such a guarantee. With principal guarantees, the interest earned by the guarantees is reinvested so that when the amortization comes due, it can be paid out of the accumulated proceeds of the account. With rolling interest guarantees, the funds initially placed in escrow are typically returned only once the bond matures, but the debtor usually receives the interest earned by the guarantee account so long as it remains current on the debt. Therefore, the debtor again receives a stream of refunds equal in present value to the amount initially deposited.1

To illustrate, consider the case of a discount exchange where $100 of old debt is exchanged for $65 of new bonds backed by principal and interest guarantees which cost $6.5 and $8.5, respectively, to fund. The total cost is $15 while the debt reduction achieved is $35 (= $100 ‒ 65) + $15 or $50, since the $15 will ultimately be returned to the debtor with interest if the debtor services the $65 of new debt. Hence, the BEP would be 15 divided by 50, giving 30 cents. At a price of 30 cents, a similar $50 debt cancellation could be achieved through a buy-back at a cost of $15.

In cases where debt relief is obtained through the establishment of a fixed sub-market interest rate (or interest rate path), the amount of debt reduction depends on the future path of interest rates. Estimation of the expected amount of debt reduction ex ante then requires deriving a benchmark against which to compare the fixed interest rate path. Therefore, the amount of debt-service relief achieved includes an element of subjectivity. In the calculations presented in Table 2, the amount of interest reduction is calculated by comparing interest rates specified on the par bonds with the fixed interest rate the borrower would have attained if it had been able to convert its floating-rate obligations (paying LIBOR + ) into a long-term fixed-rate bond paying a similar premium over the long-term risk-free rate. Specifically, the interest reduction in a given period is calculated as the difference between the interest rate agreed for the period and the sum of the long-term bond yield prevailing when the agreement was reached, the prevailing per period market premium over the treasury yield for converting floating-rate debt to fixed-rate debt, and the spread over LIBOR prevailing on the old syndicated debt (usually ). This difference is then discounted to the present at the long-term risk-free bond rate and aggregated with the differences for all the other periods to arrive at the overall degree of interest relief.

It is important to recognize that while buy-backs and debt exchanges are similar, in that they involve upfront costs for the debtor and result in lower debt or debt-service obligations, they differ in a number of important respects that are not captured by the concept of buy-back equivalence. The debt exchange entails the rescheduling of the debtor’s remaining obligations, sometimes over a period as long as thirty years, and their transformation from syndicated loans into less easily rescheduled securities. Also, in some cases, the obligations are changed from floating- to fixed-rate obligations—reducing the debtor’s exposure to interest risk—and additional obligations contingent on export performance or growth may be introduced. Moreover, debt exchanges differ since they preserve a portion of creditors’ claims, whereas buy-backs can potentially be used to retire all of a given exposure. These differences can have important implications for the appropriateness of a given option or menu for a country’s circumstances. It is not necessarily the case that an option with a lower BEP is better for borrowers (or worse for creditors) than one with a higher BEP, and vice versa.

Annex II Stripped Prices

The existence of a discount on the secondary market for a bank claim on a sovereign borrower reflects the market’s perception of a risk that the claim will not be serviced. Accordingly, the secondary market price for a country’s bank debt provides a broad indicator of a country’s creditworthiness. The interpretation of secondary market prices is complicated, however, after a bank claim has been restructured and securitized. In particular, the secondary market price of a partially collateralized discount or par bond reflects not only the market’s assessment of the likelihood the borrower will service the claim, but also the incremental value that creditors expect to receive from the associated guarantee. Moreover, in the case of a reduced-interest par bond, the price reflects the degree of interest reduction compared with prevailing market rates. Hence, to construct a measure of the country’s perceived payment risk, it is necessary to “strip off” the contribution to the bond’s market value by the attachment of a payment guarantee, and to normalize the price for the degree of interest reduction.

The approach to “stripping” adopted here is based on the realization that a partially collateralized security can be characterized as a portfolio of two different payment streams: one that is guaranteed and carries no default risk, and another that is unguaranteed and subject to country risk. By subtracting the value of the guaranteed obligations from the secondary market price, one can derive the market value of the “risky” claims. The stripped price, a measure of a country’s perceived payment risk, is subsequently derived from the ratio of the market value of the risky claims to their hypothetical value in the absence of payment risk. As a result of this “normalization,” stripped prices are comparable across different types of instruments.

Turning to the actual calculations, the stripped price (ps) is defined as the ratio of the market value of the risky payment obligations (MVr) to the present value of these same obligations (PVr).2

ps=MVr/PVr.(1)

The market value of the risky obligations is estimated by subtracting the current value of the collaterals MVc (the present discounted value of the future income stream that creditors expect to receive directly or indirectly from the collateral account) from the observed market value of the bond (MVb), that is,

MVr=MVbMVc.(2)

Similarly, the present value of the risky obligations is estimated by calculating the present value of the total obligations on the bond less the present discounted value of the obligations covered by the principal guarantee:

PVr=PVbPVc.(3)

Since the prepaid obligations are riskless, their present discounted value equals their market value. Hence,

PVr=PVbMVc.(4)

Combining equations (1), (2), and (4) gives the result:

Ps=(MVbMVc)(PVbMVc).(5)

If the stripped price equals one, this implies that MVb = PVb, that is, the borrower could issue new debt with a maturity similar to the bond with a yield equal to the market discount rate.

Movements in market interest rates will be reflected in the price of the bond to the extent that they affect the value of the guarantees and the present value of the obligations. However, such movements will affect the stripped price only to the extent that they change the country’s perceived payment risk. For example, an increase in market interest rates will decrease the value of the principal guarantee which, other things being equal, should decrease the market value of the bond. Similarly, higher market interest rates should lower the present value of a fixed interest par bond, and thus decrease the hypothetical present value of the bond. The stripped price should not, however, be directly affected by changes in the value of the guarantee or the present value of the bond.

Stripped prices are more volatile than the quoted market price of the bond. Movements in stripped prices only affect the value of the risky component of the bond; the value of the payment guarantee remains unaffected. Thus, movements in stripped prices affect the value of the bond less than proportionally. The degree of correlation between the bond’s market price and the stripped price is inversely related to the share of the value of the bond covered by the payment guarantee.

Statistical Appendix

Table A1.

Amounts of Medium- and Long-Term Bank Debt Restructured, 1985–September 19921

(In millions of U.S. dollars; by year of agreement in principle)

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Sources: Restructuring agreements, and IMF staff estimates.

Including short-term debt converted into long-term debt and debt exchanges involving interest or principal reduction. Amounts represent face value of old claims restructured. Does not include the March 1991 preliminary agreement with Nigeria and the May 1991 arrears agreement with Brazil.

Multiyear rescheduling agreement (MYRA) entailing the restructuring of all eligible debt outstanding as of a certain date.

Financing packages involving debt and debt-service reduction.

Estimates of eligible debt.

Excluding $9.6 billion in deferments corresponding to maturities due in 1986.

Amendments to previous restructuring agreements.

Deferment agreement.

Agreements in 1985 and 1987 modified debt-service profiles on debt rescheduled under the 1984 agreements; the amounts involved are not shown because repayments made during 1985–87 have not been identified.

Agreement was reached with creditor banks in this year to amend certain terms of previous restructuring agreements. The amounts involved, however, were not modified in relation to those shown for the previous year.

Face value of debt extinguished in buy-back.

Totals exclude amounts deferred, given in parentheses.

Table A2.

Terms and Conditions of Bank Debt Restructurings and Financial Packages, 1989–September 19921

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Sources: Restructuring agreements, and IMF staff estimates.

Arrangements approved in principle before January 1, 1989 are reported in previous background papers.

Voluntary amortization payments made during the grace period would be matched on a 1:1 basis by debt forgiveness (equivalent to a buy-back option at 50 cents on the dollar).

Interest rate would be increased by a maximum of 3 percentage points if GDP growth exceeds a threshold rate.

Seventy percent of these arrears to be forgiven in 1990 upon downpayment equal to 5 percent of these arrears. Beginning at the end of 1990 and provided that Honduras remains current on interest due on all rescheduled amounts under the agreement, the creditor bank would further forgive interest arrears by a yearly amount equal to 5 percent of the arrears outstanding at end-October 1989.

New money options include medium-term loan, new money bonds, on-lending facility, and medium-term trade facility. As of end-March 1992, $952 million had been disbursed.

Includes $112 million of previously capitalized interest arrears on letters of credit.

Allowance for re-lending for up to 366 days of up to 20 percent of the new money on a revolving basis, of which one half would be available in any one calendar year and one half would be available to the private sector.

Committed to the new money option at end-June 1992, with 95 percent of eligible debt tendered under the package.

Payment is to be deferred until December 30, 1991. Alternatively, banks may receive payments according to the original schedule in return for an equal increase in the short-term revolving trade facility.

Payment was deferred until the second quarter of 1990.

The interest rate of LIBOR plus ⅞ applies to the new money bonds issued by the central bank (as opposed to the Republic of Venezuela).

Table A3.

Debt and Debt-Service Reduction in Commercial Bank Agreements, 1987–September 19921

(By year of agreement in principle)

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Sources: Debt restructuring agreements, and IMF staff estimates. Note: BCEAO = Banque Centrale des Etats de l’Afrique de l’Ouest; IDA = International Development Association.

Includes $2,447 million of debt of domestic commercial banks, for which no enhancements were provided (the Gurria bonds).

Commitments at end-July 1992, at which time 95 percent of eligible bank debt tendered.

Including about $210 million used to offer comparable collateral for bonds issued prior to 1990.

Table A4.

Debt-For-Development Conversions

(Completed through end-June 1992)1

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Sources: The Debt for Development Coalition, The Nature Conservancy, the World Bank, and UNICEF. Note:

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CABEI: Central American Bank for Economic Integration
CI: Conservation International
DDC: Debt-For-Development Coalition
FONAMA: Bolivian National Environmental Fund
FUNATURA: Fundaçao Pro Natureza, a Brazilian private conservation group.
IFESH: International Fund for Education and Self-Help
MBG: Missouri Botanical Garden
MCL: Monteverde Conservation League
MUCIA: Midwest Universities Consortium for International Activities
NCF: Nigerian Conservation Fund
NPF: National Parks Foundation of Costa Rica
PRCT: Puerto Rican Conservation
RA: Rainforest Alliance
TNC: The Nature Conservancy
WWF: World Wildlife Fund

The list is not comprehensive.

Does not include interest earned over the life of the bonds.

Funds donated.

Conversion included debt of CABEI.

Debt exchanged for cash.

Includes a donation.

Table A5.

International Bond Issues by Selected Developing Country Borrowers, July 1991–June 1992

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Sources: International Financing Review, Euroweek, Latin Finance, and Financial Times. Note: S = Austrian schilling; bn = billion; Can$ = Canadian dollar; DM = deutsche mark; ECU = European currency unit; F = French franc; £ = pound sterling; mn = million; Ptas = Pesetas; SwF = Swiss franc; US$ = U.S. dollar; ¥ = Japanese yen.
Table A6.

International Bond Issues by Developing Countries, 1987–First Half 19921

(In millions of U.S. dollars)

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Source: Organization for Economic Cooperation and Development, Financial Statistics Monthly.

Foreign bonds and Eurobonds.

Excludes offshore banking centers.

Table A7.

International Bond Issues by Developing Countries by Type of Borrower1

(In millions of U.S. dollars)

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Sources: International Financing Review, Euroweek, and Financial Times.

Excluding the four newly industrialized countries: Hong Kong, Singapore, South Korea, and Taiwan.

Table A8.

Yield Spread at Launch for Unenhanced Bond Issues by Developing Countries1

(In basis points)

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Sources: International Financing Review, Euroweek, and Financial Times.

Yield spread measured as the difference between the bond yield at issue and the prevailing yield for industrial country government bonds in the same currency and of comparable maturity. All figures are weighted averages. Excludes the four newly industrialized countries: Hong Kong, Singapore, South Korea, and Taiwan.

Table A9.

International Bond Issues by Developing Countries by Currency of Denomination1

(In millions of U.S. dollars)

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Sources: International Financing Review, Euroweek, and Financial Times.

Excluding the four newly industrialized countries: Hong Kong, Singapore, South Korea, and Taiwan.

Table A10.

Issues Under Euro-Medium-Term Note Programs April 1991–June 1992

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Sources: International Financing Review, Euroweek, and Financial Times.
Table A11.

International Borrowing Facilities for Developing Countries1

(In millions of U.S. dollars)

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Sources: Organization for Economic Cooperation and Development, Financial Market Trends.

Total commitments under committed borrowing facilities, Euro-commercial programs, and other nonunderwritten facilities.

Includes Euro-medium-term note programs.

Table A12.

Bank Credit Commitments by Country of Destination, 1987–First-Half 1992

(In billions of U.S. dollars)

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Sources: Organization for Economic Cooperation and Development, Financial Statistics Monthly.

Excludes offshore banking centers.

Table A13.

Concerted Lending: Commitments and Disbursements, 1983–July 19921

(In millions of U.S. dollars; by year of agreement in principle)

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Sources: Restructuring and new money agreements, and IMF staff estimates.

These data exclude bridging loans.

New money commitments in the context of bank debt restructuring agreements.

Estimate.

Table A14.

Terms of Long-Term Bank Credit Commitments, 1986–May 19921

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Sources: Organization for Economic Cooperation and Development, Financial Market Trends; and IMF, International Financial Statistics (for Eurodollar and prime rates).

The country classification and loan coverage are those used by the OECD.

Table A15.

Terms on Syndicated Bank Credits for Selected Developing Countries, 1989–May 19921

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Source: Organization for Economic Cooperation and Development.

Excludes concerted commitments.

Table A16.

Provisioning Regulations Against Claims on Developing Countries

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Source: National authorities, press reports, and World Bank Technical Paper No. 158.

In percent of relevant exposure; numbers indicate range for major banks.

Indicates under what circumstances the assessment of exposure is adjusted for collateralized claims for provisioning purposes.

Indicates which regulatory authorities assess the exposure base by individual country performance.

The time period can be reduced to two years if the country can demonstrate an ability to raise new funds on a voluntary unsecured basis on the international capital markets.

A one-for-one adjustment is made (that is, if collateral only partially covers asset, the uncovered portion is factored into the calculation for total exposure requiring provisioning).

Mandatory target is set by industry average of previous fiscal year.

Adequacy judged against industry average.

Banks individually determine the requirement for provisions in liaison with their external auditors. In this context, allowance can be made by credit type and by country risk.

Until March 1991, the 25 percent level represented a maximum statutory cap. Although this is no longer the case, level is set to provide an indicative guideline.

The Bank of England does not instruct provisioning against a set list of countries; this is left up to individual banks to determine using the Banks matrix criteria.

Table A17.

Gross Public-Sector Disbursements

(In percent of GDP)1

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Sources: World Bank, World Debt Tables (1978–90), and IMF staff estimates (1991–92).

Dollar GDP is calculated on the basis of fixed purchasing-power-parity with the United States.

Table A18.

Nonfinancial Public-Sector Balances

(In percent of GDP)

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Sources: National authorities, and IMF staff estimates.

1979–82 for Argentina, Brazil, Chile, Mexico.

1990–91 for Chile, Venezuela.

Operational deficit.

Deficit of the national government.

Table A19.

Gross National Savings and Investment

(In percent of GDP)

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Source: IMF, World Economic Outlook, October 1992.
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Note: For information on the titles and availability of World Economic and Financial Surveys published prior to 1988, please consult the most recent IMF Publications Catalog or contact IMF Publication Services.
1

Clark, John, “Evaluation of Debt Exchanges,” Working Paper 90/9 (Washington: IMF, February 1990).

2

The risky payments are discounted at the expected long-term interest rate for LIBOR plus . The long-run yield for LIBOR is estimated as the prevailing long-term treasury bond rate plus a swap premium. The choice of a long-term yield has only a secondary impact on the present value of floating-rate interest stream (since it also used to project the contractual interest obligations). The choice of discount rate, however, is important for the normalization of the fixed interest stream for a reduced interest par bond; that is, the higher the counterfactual long-term rate, the lower the present value of the contractual obligations.

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