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This paper aims to consolidate and review the literature in the field of market-calibrated option pricing analysis. By doing so, the paper brings out the gaps in the extant literature and makes suggestions for future researchers in the field.

The methodology used in this research is inspired by the works of Ferreira et al. (2016), Jabbour (2013), Lage Junior and Godinho Filho (2010), Seuring (2013) and Sharma et al. (2018). A total of 1,500 papers written on the pricing of options globally are collated from the Web of Science ranging across 2010-2018.

Most of the research papers present mathematical proposals to value options; without calibrating it with real market data points. The authors bring out five important gaps in the extant literature.

This is arguably the first study that consolidates the literature in the field of market calibrated option pricing analysis with a view to suggest directions for future researchers.

This paper aims to explore the ways in which religious tourism in India fosters religious tolerance.

The paper uses a conceptual apparatus derived from the basic structure of religious tourism comprising motivation, journey and destination, to understand various aspects of tolerance. Tolerance, with the implicit meaning of diversity and pluralism, is examined at two levels – intra-religion and inter-religion – using field investigations from three Hindu pilgrimage sites, namely, Vrindavan, Tuljapur, Shegaon and review of one Muslim site called Ajmer Sharif. These sites exhibit a range of combinations, sectarian traditions within Hindu and their interactions with others, including Muslims and foreigners.

Each of the sites provides different sets of opportunities for the “others” to get exposed to religious and cultural aspects. It is found that tolerance within the Hindu sects and with non-Hindus from other religious faiths is a function of their engagement with cultural performances and participation in the religious tourism economy in a pilgrimage site.

On a broader level, this paper argues that conceptualising tolerance within a social and cultural sphere helps in a better understanding of tolerance and identifying areas within religious tourism where it can be promoted. A conscious effort to promote tolerance through religious tourism will add value to religious tourism and help it thrive.

The paper aims at developing a novel algorithm to estimate high-order derivatives of rotorcraft angular rates to break the contradiction between bandwidth and filtering performance because high-order derivatives of angular rates are crucial to rotorcraft control. Traditional causal estimation algorithms such as digital differential filtering or various tracking differentiators cannot balance phase-lead angle loss and high-frequency attenuation performance of the estimated differentials under the circumstance of strong vibration from the rotor system and the rather low update rate of angular rates.

The algorithm, capable of estimating angular rate derivatives to maximal second order, fuses multiple attitude signal sources through a first-proposed randomized angular motion maneuvering model independent of platform dynamics with observations generated by cascaded tracking differentiators.

The maneuvering flight test on 5-kg-level helicopter and the ferry flight test on 230-kg-level helicopter prove such algorithm is feasible to generate higher signal to noise ratio derivative estimation of angular rates than traditional differentiators in regular flight states with enough bandwidth for flight control.

The decrease of update rate of input attitude signals will weaken the bandwidth performance of the algorithm and higher sampling rate setting is recommended.

Rotorcraft flight control researchers and engineers would benefit from the estimation method when implementing flight control laws requiring angular rate derivatives.

A purely kinematic randomized angular motion model for flight vehicle is first established, combining rigid-body Euler kinematics. Such fusion algorithm with observations generated by cascaded tracking differentiators to estimate angular rate derivatives is first proposed, realized and flight tested.