Tuesday, July 4, 2017

Measuring election risks: What’s the best way to bet on mid-term elections?

The election race has begun and investors look optimistic

The purpose of this article is to go through the scenarios opened last week after official candidates for the PASO election were presented. This election will be the main driver for Argentinean bond returns up to year-end, so it’s good timing to do some math and introduce different election outcomes. Besides defining the Congress composition, the more relevant aspect of this election is how strong each candidate will come out for the 2019 presidential election, with particular attention on the former president Cristina Kirchner and the incumbent president Mauricio Macri. Three scenarios could be considered in this sense: i) Cambiemos, Macri’s party, achieves a good election in the Buenos Aires province and Cristina Kirchner doesn’t get a seat for the Senate. This scenario will put Macri on a great position for a re-election in 2019; ii) Cristina Kirchner comes up with a great election, raising her as the main peronist candidate for 2019; iii) Cristina Kirchner does badly in this election, losing most of her political power, but at the same time Cambiemos doesn’t stand out either, leaving the door open to a return of the Peronist party under a different candidate.


Along the article you’ll find an estimation of current default probabilities implied in sovereign bond prices, which will be useful to estimate expected bond returns under the different scenarios in consideration. Once we estimate the expected returns for each scenario, we can guess the probability that matches expected returns with current bond prices. Presently, investors are giving around 40% chances to the first scenario, Macri’s victory, and around 30% to the other two scenarios. The market looks a bit more optimistic than polls around the election, and giving expected returns under these probabilities, the Argentina 2026 bond provides the best weighted average capital gain. However, my view is that Cambiemos will a have a tough election and it’s not obvious that the division of the Peronist party benefits the ruling party. In addition, the social mood has been heating up, and this could hurt Cambiemos chances in the election. I would like to see how the campaign develops before taking an aggressive position towards the election. As a result, I prefer a conservative approach with a long position in Arg21, which offers better carry than Arg19 and similar weighted average capital gains.

Calculating default probabilities

To estimate default probabilities from bond prices I have used the methodology presented in chapter 23 of the seventh edition of Hull’s book[1]. The methodology basically consists in finding a default probability that matches current bond prices with the present value of the expected loss from a default along the bond life. This expected loss is calculated by the difference between the bond market price and the value of its cash flows discounted by the risk free rate. By applying this calculation to bonds of different maturities, we can construct a term-structure of default probabilities, where each point of the curve represents the chance that a default will occur in that particular period. I call these points “forward default probabilities”. For simplicity reasons we use Argentina 2019, Argentina 2021, Argentina 2026, and Argentina 2046, but the job could be extended to the whole universe of Argentinean bonds. I have chosen default probabilities instead of spreads because the latter includes not only default probabilities but also other premiums. In fact, this methodology is useful to obtain the implied value of different bond characteristics such as liquidity, legislation, or even to estimate the fair value of bonds in different currencies. Furthermore, it is a better methodology to set up scenarios because restrictions can be placed on forward default probabilities, leading to more consistent scenarios along the curve.

Defining scenarios, calculating expected returns, and assessing what’s priced in

The Argentinean term-structure of default probabilities shows a jump between 2019 and 2021, signaling that investors are concerned about the 2019 presidential election, especially when some sectors among the opposition have been challenging the legitimacy of this debt. The forward default probability for 2021, at 4.8%, is more than twice the one for 2019, 1.8% (see Figure 1). After 2021, the term-structure of default probabilities is increasing but shows a flatter slope, with implied forward default probabilities of 5.25% and 6.15 for 2026 and 2046, respectively. A good mid-term election for Cambiemos will put Macri on a good path to a re-election in 2019, and this will be reflected by a fall in default probabilities across the curve but specially in the term between 2019-2023. In particular, I would expect a fall in the default probability for 2021 to the levels close to the ones currently observed for 2019. The rationale behind this expectation is that investors will start to price in a second term in office for Mauricio Macri, and according to current prices, a probability of default under his administration shouldn’t be above 2% or 2.5%. This probability would lead to a 4.2% positive return in the Arg21 bond.



Figure 1: Implied default probabilities in Argentinean bonds

Source: Bolsar, Own estimate. Forward default probability is the chance of facing a default in that particular period. Data from June 28th.

Default probabilities in the long-end of the curve would also fall in my view, but by a smaller amount, in a range of 60pp to 90pp. A more significant reduction might be observed, but I believe the long-end of the curve is more highly anchored on expectations of macroeconomic fundamentals and in a lower degree on politics. Structural changes that put public accounts in order and lead to a sustainable economic growth would be needed before a larger reduction in long term forward default probabilities is observed. I believe that after the election, if Mauricio Macri wins, investors will start to demand not only signs but also facts showing a reduction in fiscal deficit, a deceleration in inflation, and a sustainable economic growth, before validating spreads below 300bp in the long-end of the curve. In this scenario I expect positive returns of 6.5% and 14.5% in Arg26 and Arg46, respectively, but the return is mostly related to the fall in the short-end of the forward default probability curve, as long-end is expected to remain near current levels.


On the opposite side, good election results for Cristina Kirchner will bring her back to the political scene, placing her as the main peronist candidate for 2019. This scenario will not be welcomed by investors, and a sharp fall in bond prices should be expected. I imagine an increase in default probabilities to at least an annual rate of 5% to 6%, leading to negative returns in short term bonds between 1% and 7%, and of more than 10% in long term bonds. To estimate this scenario I have looked at bond prices in 2013. I don’t believe this situation will be comparable to those times because we are far away from the next presidential election, but I use those valuations as a floor to my estimations. I have also looked at valuations on Brazil’s bonds at the time of Dilma’s impeachment, to see how investor mood behaves under political uncertainty in the region. In this scenario, Arg19 will provide good protection as it reaches maturity within Macri’s presidential term.

Table 1: Expected returns under different election scenarios
Source: Own estimates.

The third and last scenario is one in which Cristina Kirchner does badly in this election, losing most of her political power, but at the same time Cambiemos doesn’t stand out either, leaving the door open to a return of the Peronist party under a different candidate. I view this scenario as an intermediate one between the other two, and I expect a positive response from investors. Having Cristina Kirchner out of the scene for the 2019 election would be good news for investors, and the focus will turn to who will become the new leader of the Peronist party. Under this scenario, I would expect some reduction in default probabilities, mostly among short term bonds. A relevant reduction in long term bonds is not expected, as in this scenario the Government will have to keep dealing with the opposition in Congress, reducing the chances to put the economy on a growing path and correct current macroeconomic imbalances.

Figure 2: Expected term structure of spreads

After having estimated expected returns for the established scenarios, we are ready to guess from bonds prices the probability that investors are giving to each of them. According to my calculations investors are giving around 40% chances to the first scenario, a Macri’s victory, and around 30% to the other two scenarios. To estimate these probabilities, I solve the following system of equations for pi:

















p1, p2, and p3 are the chances of each scenario, while E(Py,1), E(Py,2), E(Py,3) are the expected prices for each bond under each scenario presented on Table 1, and E(PArg19), E(PArg21), E(PArg26), E(PArg46), are the expected weighted average price of each bond. I find that Arg26 provides the best weighted average capital gain[1], 0.37%, followed by Arg21 and Arg19, 0.26%, whereas Arg46 provides an expected capital loss of -1%[2].


Strategy: A conservative approach, long Argentina 2021

The market looks a bit more optimistic than polls around the election. My view is that Cambiemos will a have a tough election, and it’s not obvious that the division of the Peronist party will benefit them in the election, like most people think. In addition, the social mood has been heating up over the last months, and this could hurt Cambiemos chances in the election. Under current implied probabilities and expected returns, the Argentina 2026 bond provides the best weighted average capital gain, however I would like to see how the campaign develops before taking an aggressive position towards the election. We are facing binary outcomes with a lot space for upside and downside, but for now I prefer a conservative approach with a long position in Arg21, which offers better carry than Arg19 and similar weighted average capital gains..




[1] Hull, John C. “Options, Futures, and other derivatives”. Pearson, 2009

[2] This is the ratio between the expected weighted average price and current price.
[3] Although there are a lot of combinations for pi that solve this system depending on initial conditions, results are similar in most cases.