Mini-course 5 of 6

Technical reserves in Mexico

The methods in the earlier mini-courses are tools; Mexico's Insurance and Surety Institutions Law (LISF) and the Single Insurance and Surety Circular (CUSF) say which reserves must be held, on what principles and under which controls. This mini-course walks through that framework with exact references to each article and provision.

35 min
Estimated time
4
Lessons
5
Questions
ObjectivesLessonsWorked exampleSelf-assessmentReadings
01

Objectives

By the end of this mini-course you will be able to:

  • Locate the technical reserves listed in LISF article 216 and the purpose of each under article 217.
  • Explain the valuation principles in article 218: best estimate plus risk margin, calculated separately.
  • Describe method registration under article 219 and the role of the statutory method.
  • Compute a risk margin with the CUSF Chapter 5.4 procedure and know the requirements for the actuarial opinion.
02

Lessons

Lesson 1

The legal map: LISF articles 216 and 217

Article 216 requires insurers to hold seven types of technical reserves: unearned premium (risks in force); outstanding obligations; special mathematical, investment fluctuation and contingency reserves (these three for pension insurance under the social security laws, with the contingency reserve also required of mutual insurers); catastrophic risk reserves; and any others the National Insurance and Surety Commission (CNSF) determines.

Article 217 sets the purpose of each. The outstanding obligations reserve covers the expected value of claims, benefits, guaranteed values or dividends once the insured event has occurred, and has four parts: matured policies and incurred claims pending payment; dividends and profit sharing; claims incurred but not reported, together with allocated adjustment expenses; and the operations in article 118, section XXI. The IBNR from the earlier mini-courses lives in the third part.

Lesson 2

Valuation principles: article 218 and CUSF Chapter 5.2

For unearned premium and outstanding obligation reserves, article 218 requires prudent, reliable and objective valuation, using actuarial methods based on the standards of practice set by the Commission. The amount is the sum of a best estimate and a risk margin, calculated separately.

The best estimate is the probability-weighted mean of future cash flows, discounted with the market risk-free yield curves published by the Commission; it considers all inflows and outflows gross, expense and claims inflation, policyholder options and segmentation into homogeneous risk groups. The insurer must also periodically compare the best estimate with its experience and adjust methods or assumptions if it finds a systematic deviation.

CUSF Chapter 5.2 applies this to outstanding obligations: for claims incurred but not reported or not fully reported, the best estimate is the present value of future claim payments, including adjustment expenses, salvage and recoveries, plus the Chapter 5.4 risk margin. The applicable standards of practice are in Annex 4.3.1-b, under Chapter 5.17.

Lesson 3

Method registration: article 219 and Title 5

Article 219 requires insurers to register with the Commission the actuarial methods for unearned premium and outstanding obligation reserves. Methods must comply with article 218, be prepared and signed by an actuary holding a professional license and current certification from the professional college for the specialty (or who demonstrates the required knowledge to the Commission), and carry a favorable opinion from an independent actuary who meets the same requirements.

If the Commission determines that a method does not reflect a sufficient reserve level, the insurer has thirty days to adjust it; otherwise, the Commission requires a regularization plan and assigns an actuarial method. The registration procedure is in CUSF Chapter 5.5 and the statutory method in Chapter 5.3. Using third-party methods or data does not relieve the insurer of its responsibility.

Lesson 4

Risk margin and actuarial opinion

CUSF Chapter 5.4 sets the net cost of capital rate at 10% (provision 5.4.3). The margin is calculated separately for the unearned premium reserve and for the IBNR reserve, by line and type of insurance, using the solvency capital requirement (RCS) as of the close of the previous month. For each, provision 5.4.4 defines it as the product of three elements:

\[MR=CoC\times BC\times D,\qquad CoC=10\%\]

where \(BC\) is the capital base, that is, the share of the RCS allocated to that reserve according to its deviation risk, and \(D\) is the duration of the obligations, calculated with the risk-free curve. Reserve adequacy is certified at each year end by an independent actuary, who must be engaged no later than June 30 of the year under review (Chapter 23.2) and must follow the standard of practice in Annex 23.3.1 (Chapter 23.3, under LISF article 311).

03

Worked example

We take the chain ladder IBNR from mini-course 2 (3,339.9 million pesos, undiscounted) as the cash flow estimate for one line's IBNR reserve. We assume a payment pattern, illustrative risk-free rates and a capital base of 400 million allocated to this reserve. Adjustment expenses are excluded for simplicity.

Step 1. Discounted best estimate

Payment yearPatternExpected cash flowIllustrative ratePresent value
145%1,503.08.0%1,391.6
230%1,002.08.2%855.9
315%501.08.4%393.3
410%334.08.5%241.0
Total100%3,339.92,881.8
Cash flows at the end of each year. Rates are illustrative and do not correspond to the risk-free curve published by the CNSF.

Step 2. Duration and risk margin

  1. Duration, weighting each year by its present value, is (1 × 1,391.6 + 2 × 855.9 + 3 × 393.3 + 4 × 241.0) / 2,881.8 = 1.8208 years.
  2. Risk margin = 10% × 400 × 1.8208 = 72.8 million.
  3. Reserve = best estimate + risk margin = 2,881.8 + 72.8 = 2,954.6 million. Discounting reduces the undiscounted figure by 458.1 and the margin adds 72.8.

Teaching simplification: the CUSF requires duration and capital base to be calculated with the methodology each insurer registers as part of its method; here we use a present-value-weighted duration and an assumed capital base.

Key point: In Mexico the reserve is not just an IBNR figure: it is a discounted best estimate plus a cost-of-capital risk margin, under a registered method signed by a certified actuary and reviewed every year by an independent actuary.
04

Self-assessment

Choose one answer per question: you will see right away whether it is correct and why. At the end, check your score. Nothing is stored or sent.

1. Under LISF article 217, which part of the outstanding obligations reserve holds IBNR?
2. Under article 218, how is the amount of unearned premium and outstanding obligation reserves made up?
3. What net cost of capital rate does the CUSF set for the risk margin?
4. Who must sign the actuarial method registered with the CNSF?
5. What happens if the CNSF finds the registered method does not produce sufficient reserves and the insurer does not adjust it within thirty days?
05

Readings

Primary sources and reference texts, all publicly accessible at the time of publication.

On actuaria.mx

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