Instituto Tecnológico Autónomo de México

About: Instituto Tecnológico Autónomo de México is a education organization based out in Mexico City, Mexico. It is known for research contribution in the topics: Politics & Population. The organization has 1098 authors who have published 2532 publications receiving 39083 citations. The organization is also known as: Instituto Tecnologico Autonomo de Mexico & Mexico Autonomous Institute of Technology.

Claims Reserving When There Are Negative Values in the Runoff Triangle

Abstract: This paper is concerned with the situation that occurs in claims reserving when there are negative values in the development triangle of incremental claim amounts. Typically these negative values will be the result of salvage recoveries, payments from third parties, total or partial cancellation of outstanding claims due to initial overestimation of the loss or to a possible favorable jury decision in favor of the insurer, rejection by the insurer, or just plain errors. Some of the traditional methods of claims reserving, such as the chain-ladder technique, may produce estimates of the reserves even when there are negative values. However, many methods can break down in the presence of enough (in number and/or size) negative incremental claims if certain constraints are not met. Historically the chain-ladder method has been used as a gold standard (benchmark) because of its generalized use and ease of application. A method that improves on the gold standard is one that can handle situations where...

Minimum Advertised Price

Abstract: This paper examines minimum advertised price (MAP), a vertical restraint that is observed in manufacturer-retailer interactions. Under MAP, the manufacturer announces that it will reimburse retailers for a fraction of their advertising expenditures if retailers do not advertise the product at below a specified price. MAP can be considered a combination of resale price maintenance (RPM) and a cooperative advertising subsidy. Current antitrust law treats RPM as illegal per se, whereas MAP is judged according to a rule of reason. A framework is presented within with neither a minimum retail price nor a cooperative advertising subsidy is individually sufficient to enable maximization of profits in the complete manufacturer-retailer structure, but the two instruments together are. MAP is therefore a sufficient instrument for the maximization of joint profits. We argue that MAP can also be designed as a second-best instrument that replicates RPM.

An application of mellin transform techniques to a black–scholes equation problem

Abstract: In this article, we use a Mellin transform approach to prove the existence and uniqueness of the price of a European option under the framework of a Black–Scholes model with time-dependent coefficients. The formal solution is rigorously shown to be a classical solution under quite general European contingent claims. Specifically, these include claims that are bounded and continuous, and claims whose difference with some given but arbitrary polynomial is bounded and continuous. We derive a maximum principle and use it to prove uniqueness of the option price. An extension of the put-call parity which relates the aforementioned two classes of claims is also given.