Internalizing CO2-Equivalent Emissions Issued From Agricultural Activities

The aim of this article is to consider the market-based instruments, such as the ETS system, for the internalization of the CO2-equivalent emissions issued from the agricultural sector. We use a hypothetical market valuation of the emissions and we extend the analysis to the optional pricing with double barriers. According to our results, the purpose of attaining the levels of carbon emissions recommended by the French public authorities, with a level of reductions down by 50.00% in 2030, could be successful would the terminal range of optional prices stand between 76.35 and 89.56 Eur.


INTRODUCTION
The sustainability of agricultural systems is a complex issue involving multiple factors that fit broadly within economic, social, and environmental areas (Talukder et al., 2020). This article does not address the question of what types of agricultural systems are sustainable, having in mind that agriculture has impacts on ecosystems through land clearing, habitat fragmentation, desertification, soil erosion, eutrophication, loss of biodiversity, and pollution (Burney et al., 2010;Conway and Barbier, 2013). What this article tries to emphasize on is how putting a price on carbon footprints from the agricultural activities can contribute-among many other necessary devices within the reach of public decision-makers-to saving the climate as a global public good.
The EU aims to be climate-neutral by 2050: An announcement made by the European Commission in 2020 (European Commission, 2020). Unfortunately, when it comes to agriculture, this goal is rather unattainable with current measures. On the basis of the study by Lóránt and Allen (2019), we know that improving the efficiency of production, changing what, and how commodities are produced, as well as increasing the sequestration capacity, are all options available to the sector. Yet, none of these approaches can deliver the mitigation level necessary for a net-zero future. Without major changes in land use, these options used together could lead to emission reductions of at most 46% by 2050. That is why carbon neutral scenarios rely on the land sparing approach, according to which tremendous increases in agricultural yields (up to 30%) enable to free up land that would be afforested or used to produce biomass energy (Aubert et al., 2019) 1 . This line of reasoning is very questionable. We thus have to envisage other devices, such as the market-based mechanisms.
Regardless of the economic sector at stake, effective allocation of depollution efforts requires a complex coordination of agents and stakeholders. This can be achieved by introducing a mechanism that gives a price to the environmental damage at the margin, that is, a price for the occurrence of the additional unit of what is socially considered to be an environmental damage, or, equivalently, a price that compensates for the offset of the additional unit of the environmental damage at stake (Bureau, 2005). The interest of market mechanisms is then to rely on the decentralized behavior of economic agents for internalizing the negative externalities such as the emissions of GHGs. For the public policies guidance, this approach is a means to undertake interventions that are coherent at a sector-based level. It ensures that all agents are subjected to the same economic valorization of marginal damages (Bureau and Hourcade, 1998).
The international community has decided to limit the worldwide temperature rise to at most 2 • C (MEEM, 2016). In detail, the Paris Agreement aims to substantially reduce global GHG emissions in an effort to limit the global temperature increase in this century to 2 • C above preindustrial levels, while pursuing the means to limit the increase to 1.5 • C. One of the major challenges is to maintain the level of social wealth, generated within the economic activities, without emitting more GHGs into the atmosphere. Indeed, the additional emissions do not permit attaining the carbon neutrality that is usually endorsed through natural or technological processes. The economic and financial instruments that lead to an implicit or explicit carbon price make it possible to diffuse clear signals on the benefits to emit less GHGs or, symmetrically, to warn of their costs to the society. For instance, the 2015 French energy transition law for the environmentally oriented economic growth opted for a growing carbon tax. Its amount was projected to be of 56.00 Eur in 2020 and 100.00 Eur in 2030 2 . The internalization of negative externalities can equally be implemented via the emission allowance market, in an equivalent monetary metric, such as the European Emissions Trading System (ETS).
The negative externalities are typically assessed by means of the environmental standards. The latter must be related to the costs of protection that they jointly impose on the economy and the society. The search for the least cost means that agents have an interest in minimizing these costs. This leads us to focus on the regulation by economic instruments such as the ecotaxation or the market for emission permits (Dragicevic and Sinclair-Desgagné, 2010). These send the signal of the real price, pollution included, of the economic activities. Within the carbon emissions trading, polluters that emit more than the quota of CO 2 -equivalent emissions set by the regulator are financially penalized, for which they are required to buy allowances for their excessive emissions. On the contrary, polluters that achieve to reduce their emissions below the quota can sell their surplus allowances and can thus benefit from the sales revenues. They will therefore choose between abating an additional pollution unit, if the cost of doing it is lower than the carbon price, and paying the tax or buying an emission permit, if the marginal 2 The public authorities currently in place want to legislate the goal of carbon neutrality in 2050 (Wakim, 2019). cost of depollution turns out to be costly. Based on these facts, environmental taxation and emission permit markets bring us to the Pigouvian analysis (Bureau and Mougeot, 2004). The flexibility and incentives provided by economic instruments are therefore the guarantee to enact the least cost abatement system. In turn, any savings in costs can be re-oriented toward other public policy concerns.
ETS considers four main economic sectors, which are aviation, manufacturing, and construction industries with combustion of fuels, stationary installations in the energy and industrial sectors, as well as the industrial installations (EEA, 2018). As pointed out by Verschuuren (2018), the agricultural sector faces three challenges: reducing GHG emissions, adapting to the climate change, and producing enough food for a growing population. In 2019, agriculture produced 19% of total GHG emissions in France, be it the second highest source of emissions in the country (REE, 2021). Reducing the GHG emissions issued from the agricultural sector is thus of prime importance. Agriculture being a non-ETS sector, the agricultural emissions are solely covered by the Effort Sharing Decision/Regulation 3 , at least as far as the emissions from livestock are concerned (Official Journal of the European Union (OJ), 2009). Although the cornerstone of the European climate policy relies on ETS, which covers about half of the European emissions, policy discussions on pricing agricultural emissions have been relatively absent to date. To achieve the EU's long-term cost-effective mitigation targets, Grosjean et al. (2018) first estimated that agriculture should reduce its emissions by 36.00% in 2030, and by 42.00% to 49.00% in 2050. What is more, to reduce the agricultural emissions, the last authors suggest to opt for market-based instruments. With regard to the recent revision of the objectives made by the European bodies, we plan to go further and target carbon neutrality in 2050 by fixing a lofty 50% reduction in emissions, as compared to 1990 levels, as early as 2030.
That being said, the integration of agriculture and land use into the emissions trading is challenging. As a matter of fact, ETS is considered problematic because of the difficulty of measuring emissions and emission reductions at the farm level (Verschuuren, 2021). And yet, solutions exist (Brandt and Svendsen, 2010). In any case, such an undertaking can help shape the political architecture. Indeed, unlike the EU-ETS where the emissions reduction is on track, reductions in the non-ETS sectors have so far been far behind the objectives of the climate policy. Therefore, the extension of carbon pricing to non-ETS areas is an opportunity to make climate policy more effective. Besides, the inclusion of agriculture into the EU-ETS gives it market economy virtues, that is, climate protection revenues or higher emission rights can be generated through such a mechanism (Isermeyer et al., 2021).
The purpose of this article is to consider the marketbased instruments at disposal, such as the ETS system, for the internalization of the CO 2 -equivalent emissions issued from the agricultural sector. We use a hypothetical market valuation of the emissions and we extend the analysis, issued from the literature on derivative contracts (Black and Scholes, 1973), to the optional pricing with double barriers. Our approach is motivated by the fact that the derivative pricing mechanism contains information on the density of pricing of the underlying assets. Thereby, combining time-series data with information extracted from options is highly useful for the market forecasting (Christoffersen et al., 2013). Furthermore, the issue of missing markets for negative externalities, for the Pareto or socially optimal allocation of resources, can be overridden through the study of the artificial market (Oyevaar et al., 2016). Albeit the fact that the carbon market is already operational, imagining a derivatives market for agricultural-based pollution can be included as a useful artifact for the monetary internalization of external diseconomics.
Our methodology permits the French agricultural sector to reduce emissions from sectors outside the EU-ETS, for the 2021-2030 period, in the absence of carbon taxes. Indeed, governments now work on emission pricing schemes to meet their contributions under the Paris Agreement on climate change. In a previous paper, Daskalakis et al. (2009) valued a call option written on emission allowances. We extend their work in considering double barriers as a way to incorporate targeted levels of the internalization of negative externalities. Actually, taking into account solely the option prices would have given the market assessment of pollution without knowing whether it fully acknowledges the severity of GHG damages needed to be offsetted. And we know that carbon markets often produce prices that are deemed too low relative to the social cost of carbon (Bayer and Aklin, 2020). Working with targeted levels of emissions enables us to set France on a responsible path to becoming climate neutral by 2050.
According to our results, the purpose of attaining the levels of carbon emissions recommended by the French public authorities, with a level of reductions down by 50.00% in 2030, could be successful would the hypothetical range of prices stand between 76.35 and 89.56 Eur. This should lead to a pattern in which calls and puts follow the same quasi-linear increase until reaching, in 2024, the optional market equilibrium. Afterward, the levels of calls should continue to follow a similar trajectory, whereas the levels of puts ought to be, until the final time step, on a diminishing growing path. In the long-run perspective, buying allowances is more onerous while selling them is moderately valuable, such that the economic internalization of agricultural polluting turns into an inevitable punitive incentive. Yet, in regard to the beginning of the time series, the gradual increase of put values ends up with high rewarding.
The paper proceeds as follows. Section 2 shortly recalls the Black-Scholes pricing model applied to the ETS carbon pricing system. Section 3 illustrates our simulation examples. In section 4, concluding remarks are given.

BLACK-SCHOLES PRICING MODEL
The EU-ETS is a cornerstone of the EU's policy to combat climate change and its key tool for reducing GHG emissions costeffectively (European Commission, 2021a). According to Uhrig-Homburg and Wagner (2008), there is trading potential for a standardized option-style CO 2 derivative contract on carbon electronic marketplaces. Therefore, we shall mobilize the wellknown Black-Scholes derivatives pricing model in order to see what it could teach us on the severity of pollution that needs to be offsetted.
Although derivatives are mostly used to hedge against investment risks, that is, they allow offsetting the risk of any adverse price movements of the underlying entities, trading is more intensive on the derivatives markets than on the spot markets, and we know how much liquidity is a precondition for the success of ETS (Ibikunle and Gregoriou, 2018). The result of greater intensity in trading is that derivatives markets have taken the lead over their underlying market in the price discovery process (Arrata et al., 2013). The optional pricing should therefore provide us with the real cost of pollution coming from the agricultural sector.
The Black-Scholes model is a mathematical model simulating the dynamics of a financial market containing derivative financial instruments such as options. The key property of the model is that an option has a unique correct price regardless of the risk of the underlying security and its expected return. An options contract offers the buyer the opportunity to buy or sell the underlying asset (Dragicevic, 2018). In our case, we are not strictly interested in buying or selling emission allowances. What interests us is whether the market price for options will rise or decline based on the related allowances' performance. By adding both upper and lower trigger prices placed on the underlying asset, we wish to see to what extent the carbon market price is close to efficiently internalizing the negative externalities due to the agricultural pollution. Traders use double-barrier options when they have an opinion on volatility but not on the direction of the underlying asset's next price move. We instead transform them into a price tunnel in which carbon neutrality is on the right path.
Let us first recall the Black-Scholes options pricing formula (Black and Scholes, 1973). Although the model makes a certain number of assumptions, like the payment of dividends or the absence of transaction costs, we shall focus on the principal model variables. Indeed, the emission allowances do not pay any interest or dividends and their purpose is not to achieve the appreciation value but to comply with regulatory requirements (Uhrig-Homburg and Wagner, 2008). Likewise, transaction costs have no significant influence on the option prices when traders do not adjust their trading positions frequently (Dong, 2021). The formula for call options-the right but not the obligation to purchase the underlying asset, which in the present study matches with the right to possess the emission allowances -is as follows 4 : with and where C corresponds to the call premium, that is, the amount paid for a call option; S is the stock price which, in our case, corresponds to the market value of the CO 2 -equivalent emission allowance; N is the cumulative standard normal distribution of prices calculated with respect to d 1 , that is,the probability that a random variable will be less than or equal to the actual price value; K is the option striking price, which we transpose into the time-evolving carbon prices estimated by the public authorities as of enabling to reach a targeted level of internalization of the emissions of GHGs; r is the risk-free interest rate, which we set to 0.04 5 and corresponds to the interest one gets from a non-risky investment; σ reflects the standard deviation of the carbon prices, meaning how widely spread the carbon prices are; and t is the time to expiration in years, that is, the specific time an option contract expires. The left part of the above-expression provides information on the expected benefit obtainable by purchasing the underlying asset. The right part corresponds to the present value of paying the exercise price upon expiration. Even if the Black-Scholes model is meant to assess European-style options, that can be only exercised on the terminal date, the optional pricing is considered to be a very good indicator of the future values of an asset. For instance, the future value of the impending negative externalities to be offsetted by the agricultural stakeholders can be considered as an illustrative example.
With the purpose of refining the analysis built from the standard Black-Scholes formalization, we decide to extend the pricing model by injecting two preset barriers. This gives rise to derivatives termed barrier options (Andersen et al., 2002), the existence of which usually depends upon the price of the underlying asset. In short, double barrier optional pricing is a more sophisticated financial tool, with fixed upper and lower bounds 6 , of the current asset price. Provided the hypothetical nature of the market valuation of agricultural pollution and the prognosis carried out in the present study, we have decided to compute optional discounted barrier values instead.
The lower barrier expresses the minimum value of the carbon price enabling the market to correctly penalize the emitters of CO 2 -equivalent emissions. Let us recall that we are in search of the least-cost solution. The upper boundary simply corresponds to the implied volatility of an emission permit one might expect over the life of the option. As expectations rise, implied volatility rises as well. Departing from the impending pricing of CO 2equivalent emissions expressed by the public authorities, which is assumed to enable reaching the desired carbon offsetting, our aim 5 Provided the existence of the public recommendations on carbon pricing until 2030 (MEEM, 2016), we can consider a rather high risk-free rate, for potential buyers and sellers of emission allowances are aware of the upcoming cost of pollution. In addition, the rate fits with that recommended by Lebègue (2005) for public long-term investment projects. 6 A multitude of strategies-such as knock-in and knock-out contracts-exist both in literature on barrier options (Hull, 2011) and in real-world finance. We shall not focus on those, for we borrow the instrument to obtain a point of reference, or a focal point (Schelling, 1960), regarding some public policy target.
is to see the distance that separates the non-linear price dynamics from the linear price evolution of double barrier options.

SIMULATIONS
Our study deals with the minimization of CO 2 -equivalent emissions, if the polluter pays principle-such as the ETS carbon pricing system-be applied to agricultural activities in France. For that purpose, we have decided to put into use the wellknown Black-Scholes pricing model and to apply it to the public data at disposal. The time series of carbon prices from 2009 until 2018, that is, the European Emission Allowances (EUA) from which the option prices have been computed, have been obtained from the online database held by the English think-tank Sandbag (Sandbag, 2019). The total quantities of CO 2 -equivalent emissions, going from 1990 up to 2016, have been downloaded from the website of the Food and Agriculture Organization Corporate Statistical Database (FAOSTAT, 2019).
Provided the objectives of reductions in emissions recommended by the French authorities, which can be translated into having a CO 2 -equivalent emission allowance value of 100.00 Eur per ton in 2030, we have calculated the carbon prices from 2020 until 2030 as follows: where t corresponds to the yearly time step. Through the introduction of the square root of a point in time augmented by the random function, the evolution of carbon prices is considered to be subjected to non-linear dynamics in uncertainty. We thus take account of the option pricing model assumption according to which markets are efficient, such that their evolution cannot be predicted with certainty. In other words, policy makers have neither a preference for early nor for late resolution of uncertainty in a way that market-based calibration is needed (van der Ploeg, 2021). Through a linear regression of the tons recorded between 1990 and 2016, we have then calculated the CO 2 -equivalent emissions. The following equation results: q t = −37, 450 × t + 80, 000, 000, where t corresponds to the yearly time step. At a 95% confidence level, the coefficient of determination is of R 2 = 0.82, which implies that, in comparison to the available data, the goodness of the regression fit is high. This formula enables us to make projections on the emissions until 2030 as well as to incorporate, as compared to 1990 levels, the scenario of reductions in emissions of 50% in 2030. Figure 1A depicts the discounted price dynamics of CO 2equivalent emission allowances. With respect to the public decision-aid tools (MEEM, 2016)  With a relatively small absolute value of the difference between the levels of puts and of calls-from −4.88 (± 0.00) to 3.28 (± 0.00) Eur ( Figure 1B)-it can be noticed that the hypothetical option prices have been relatively close between 2009 and 2015. Nevertheless, it can also be mentioned that, after being relatively close to the down-barrier in 2009, both call and put values evolve below the carbon corridor prices. Let us recall that the purpose of the former is to efficiently internalize the carbon emissions. In 2016, the gap widens up to −16.05 (± 0.00) Eur. It then falls progressively down to 2.65 (± 1.19) Eur in 2024, with a linearized average decline of 12.04%. According to the extrapolation of the levels of calls and puts conducted from 2020, the gap between the optional selling and buying prices increases from −2.43 (± 1.11) Eur in 2025 to a significant gap of −27.85 (± 2.65) Eur in 2030. This corresponds to a linearized average difference enlargement of 61.23%. Therefore, the distance ought to widen steadily until 2030, be it the year experiencing the greatest gap in absolute terms. Figure 2 corresponds to a zoomed picture of the price dynamics where the intersection between calls and puts takes place, that is, where the optional market equilibrium is supposed to occur. The equilibrium market value between the option prices is encountered on two occasions, that is, at a value of 8.09 (± 0.00) in 2012 as well as at a value of 73.09 (± 1.11) Eur in 2025. It depicts the Pareto pricing or the social optimum for internalizing the GHG emissions issued from the agricultural activities. Beyond these dates, the call value of carbon emission allowances is found to be greater than the put value, such that the pollution fee exceeds the financial compensation for reducing the tons of CO 2 -equivalent emissions. What can also be mentioned is that the option market equilibrium price is inside the corridor with double barriers, which implies that the public recommendations on the future carbon pricing match well the extrapolated trend of the optional assessment. Figure 3A illustrates the cost dynamics of CO 2 -equivalent emission allowances, that is, the values of calls and puts multiplied by the quantities of both the emissions recorded between 2009 and 2019, as well as their projections estimated until 2030. Those give rise to optional cost and benefit values. The pattern of differences between benefits and costs Figure 3B is dissimilar to that of prices, with intersections between the optional cost and benefit values on four occasions, that is at the value of 547, 125, 729 (± 0.00) Eur in 2012, 1, 267, 056, 990 (± 18, 880, 460) Eur in 2020, 2, 020, 796, 874 (± 31, 819, 893) Eur in 2022 and that of 2, 689, 586, 677 (± 47, 469, 260) Eur in 2024. They are supposed to depict the social optimum with respect to both prices and quantities. For carbon neutrality to be reachable in 2050, the down-barrier now corresponds to the cost dynamics respectful of the recommended reductions in emissions of 50.00% in 2030. Until 2020, the optional benefit value follows tightly the down-barrier, whereas the cost value oscillates around it. While exceeding the barrier in regard to the targeted emissions, both benefit and cost values follow, until 2024, a convergent trend. Beyond that date, the cost dynamics then enters into a trend of moderate increase, when in fact the benefit dynamics continues, until 2030, its course in form of a sharp quasi-linear increase. Figure 4 corresponds to the enlargement of the benefitcost dynamics from the previous figure. In spite of the balance between optional benefit and cost values, the outlook of which occurs in 2024, the cost call value of carbon emission allowances exceeds that of the cost put value from that year. In that respect, the theoretical agricultural cost of polluting turns into a punitive-policy incentive, for rewarding the reduction of CO 2 -equivalent emissions is less valued by the optional market indicators. Indeed, in 2030, a 50.00% cut in emissions ought to lead to a total cost value of 1, 954, 351, 684 Eur, which is below the forecasted cost value by 43.49% and below the prognosed benefit value by 54.87%. Put differently, although selling emission allowances provides with a multiplicative benefit of 3.84, buying emission permits corresponds to a multiplicative penalty of 4.84. In turn, the public recommendations on the reductions of carbon emissions should lead to a long-term context in which buying allowances becomes much more onerous and selling them becomes (1) moderately valuable, as compared to the market assessment of optional calls, and nonetheless (2) becomes highly valuable with regard to the beginning of the time series under review.
If we now add up the discounted cost dynamics between 2009 and 2030, the total optional cost of the time-line under consideration amounts to 40,263,271,131 Eur, while the total optional benefit reaches the value of 37, 152, 358, 701 Eur. If the reduction by 50.00% in CO 2 -equivalent emissions be attained, the total cost would be of 26,885,426,256 Eur 8 . The analysis at an aggregated level thus leads to a similar conclusion than that previously stated. Although selling emission allowances provides a total multiplicative benefit of 1.38, buying emission permits corresponds to a total multiplicative penalty of 1.49. Nevertheless, multiplicative factors with respect to those taken into account at an average yearly basis are lower by 49.76% in buying and by 38.19% in selling. Accordingly, the shortterm perspective accentuates the soundness of optional pricing and, by the same occasion, the artificial market valuing of negative externalities.

CONCLUSION
Microeconomic principles describe the objective of the economic actors as that of the maximization of their profits. Despite the costly internalization of environmental damages and frequent distortion of producers on their real costs (Weitzman, 1974), companies-whatever the sector under consideration-are no longer able to obviate the internalization of negative externalities; simply because the GHG emissions, also known as non-market public bads, have well and truly become environmentally and socially harmful. Internalization takes place under the impetus of environmental policies, which are intended to create stimulants that modify the behavior of firms vis-à-vis the damages endorsed by the community.
In the event of severe damages, the emissions trading market approach is considered to ensure that the overall quantitative emission constraint is met. In contrast, when the damage is constant, the eco-tax approach is preferable because it avoids exorbitant effort costs (Criqui and Bureau, 2009). Nevertheless, Requate and Unold (2003) and Saint-Paul (2004) conclude that there is no irrevocable hierarchy between the two instruments. Assuming that it is impossible for the regulatory authority to transmit ideal prices or quantities (Weitzman, 1974), the attempt of this paper is to approach the problem by considering the hypothetical market valuation of emission allowances (Nicholls and Murdock, 2012).
In order to assess the cost of internalizing the negative externalities issued from the agricultural activities, we have employed, by applying the Black-Scholes optional pricing model with a double-barrier, a theoretical optional carbon pricing. Provided that, since 1990, the emissions recorded in France follow a decreasing trend that might not be a long-term steady state, addressing the issue within the context of an existing market, while being tackled through an optional pricing setting, seems to be a reasonable way to approach this ongoing problem. In point of fact, the market-design is to be considered as fictive, for the agricultural sector is currently not subject to any marketbased internalization system. Furthermore, the problem is not only in choosing the right discount factor, which has been profusely discussed in the literature on climate change (Nordhaus, 2007;Stern, 2007), but also in choosing the time length under consideration. With regard to the public policy target of reaching a 20.00% cut in GHG emissions compared with those recorded in 1990 (European Commission, 2019), France achieved, in 2016, a reduction in emissions by 13.54%, with respect to 1990, and by 1.62%, in comparison to 2009, which corresponds to an expected excess of the annual CO 2 -equivalent emissions by 3.00% (Roussel, 2018). We have thus imposed an ambitious target of emission reductions, as compared to 1990 levels, of 50% by 2030. Otherwise, net-zero agriculture in 2050 would be simply out of reach.
Would the public authorities make use of the optional pricing as a frame of reference or as a focal point (Schelling, 1960), that is, as a decision-aid tool that creates convergent expectations on which social optimum to strive for, the eventual discrepancieswith respect to the objective in emissions reduction-could be minimized. All the more so as the absence of market trading keeps the public policy from being fully implemented. In that manner, the progressive subsidy tightening under the European Common Agricultural Policy (CAP) (de La Hamaide, 2018) could be monetarily valued in reference to the scheme proposed in this article. Indeed, the CAP has three clean environmental goals one of which is tacking climate change. In the 2014-2020 period, 25% of the CAP funding went toward actions relevant for the climate (European Commission, 2021c). Nevertheless, the carbon pricing enables to give additional incentives to reduce the GHG emissions, because the economic agents are strongly encouraged to make necessary efforts should the pollution control be insufficient. In case the agricultural sector does not provide enough efforts to combat climate change, the European authorities could reduce subsidies proportionally to how far the sector is to achieving its environmental objectives. We are typically in a framework of conditional payments.
The European Green Deal aims to make Europe the world's first climate-neutral continent by 2050 and the EU can use the CAP as a tool to influence policy-making in the area of climate change (McEldowney, 2020). Despite the fact that environmental concerns are present in the agenda of the CAP, agricultural GHG emissions sill account for 10% of the EU total emissions (EUROSTAT, 2018). Therefore, there is an urgency to fundamentally restructure the European agricultural policy because a strict alignment of the conditional payments with the goals of the Paris Agreement is not established (Heyl et al., 2021). Although the CAP shapes the EU's agricultural sector (Hodge et al., 2015), such as fighting against climate change (Alliance Environment, 2019), the CAP programs have been found to be insufficient (Alliance Environment, 2019;Pe'er et al., 2019). This indicates the need of a much more fundamental change of the CAP to deliver on environmental challenges (Pe'er et al., 2020). By connecting the EU-ETS with the French agriculture through a derivatives market, we are able to tackle the pressing issue of carbon neutrality through a real price signal, which will encourage emissions abatement and low-carbon investments (Delbosc and de Perthuis, 2009).
In summary, let us point out that our methodology, based on the theoretical optional market evaluation, is meant to measure the upcoming costs and benefits of complying both with the environmental standards and with the regulatory stringency. It could-just as much-be applied to the industrial sectors already subject to the carbon pricing. Let us recall that the EU-ETS has been severely criticized for years in view of the fact that, due to an abundance of carbon credits and exemptions for major emitters, carbon prices were too low to reduce emissions (Storrow, 2018). Introducing an artificial market pricing, such as a derivatives market with preset barriers, could solve this problem by imposing levels of internalization that reflect on the true severity of damages. This is especially so since the issue of GHG emissions is now considered to be among the main priorities of the public and private decision-makers.

DATA AVAILABILITY STATEMENT
The original contributions presented in the study are included in the article/supplementary materials, further inquiries can be directed to the corresponding author/s.