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                                  Thailand Natural Rubber Price Simulation:


                                          Continuous vs. Jumps Behaviors





                                  Chakkraphong Tomood  , Rattikan Saelim  and Pakwan Riyapan
                                                        1,*,†
                                                                                                  3
                                                                            2,†

                            1,2,3 Department of Mathematics and Computer Science, Faculty of Science and Technology,
                                               Prince of Songkla University, Pattani Campus
                              2 Centre of Excellence in Mathematics, CHE, Si Ayutthaya Rd., Bangkok 10400, Thailand
                                                                                3
                                      1 chakkraphong.tomood@gmail.com,  rattikan.s@psu.ac.th,  pakwan.r@psu.ac.th
                                                                2
                                                              Abstract


                                          Natural rubber is one of the most important agricultural products

                                     of Thailand. Since the movement of the natural rubber price is similar
                                     to the stock price, it is interesting to study its behavior. Most of the

                                     work considered prices as continuous processes which are modeled
                                     based  on  Brownian  motion  which  has  continuous  sample  paths.

                                     However, many small and large changes of the price observed by eyes

                                     brought to the question of jumps. This study aims to simulate the
                                     Unsmoked Sheet Rubber (USS) price in Hat Yai market starting from

                                     January 3, 2007 to February 27, 2015 with two models. One is when

                                     the price is assumed to be continuous, the other is when it is assumed
                                     to have jumps. The results show that the simulation obtained by the

                                     continuous  model  provided  an  approximately  better  fit  than  the

                                     model  with  jumps.  It  indicated  that  those  large  changes  observed
                                     does not affect the continuous behavior of the studied USS price.


                       Mathematics Subject Classification: 58J65, 91B25, 91B70
                       Keywords: price simulation, model with jumps, natural rubber price


                       *  Corresponding author
                       †  The author is supported by the Centre of Excellence in Mathematics
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