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"Mathematical finance requires the use of advanced mathematical techniques drawn from the theory of probability, stochastic processes and stochastic differential equations. These areas are generally introduced and developed at an abstract level, making it problematic when applying these techniques to practical issues in finance"

"Modern financial mathematics relies on the theory of random processes in time, reflecting the erratic fluctuations in financial markets.This book introduces the fascinating area of financial mathematics and its calculus in an accessible manner geared toward undergraduate students. Using little high-level mathematics, the author presents the basic methods for evaluating financial options and building financial simulations."

"This is a thorough exploration of the models and methods of financial econometrics by one of the world's leading financial econometricians and is for students in economics, finance, statistics, mathematics, and engineering who are interested in financial applications. Based on courses taught around the world, the up-to-date content covers developments in econometrics and finance over the last twenty years while ensuring a solid grounding in the fundamental principles of the field. Care has been taken to link theory and application to provide real-world context for students, worked exercises and empirical examples have also been included to make sure complicated concepts are solidly explained and understood."

"The book develops the capabilities arising from the cooperation between mathematicians and statisticians working in insurance and finance fields. It gathers some of the papers presented at the conference MAF2010, held in Ravello (Amalfi coast), and successively."

"Penentuan harga opsi (option pricing) memegang peranan penting pada perdagangan saham agar dapat membuat keputusan yang dapat memperoleh keuntungan yang optimal baik untuk pembeli maupun penjual opsi. Salah satu model pasar yang dapat digunakan pada option pricing ini adalah model Black-Scholes dengan volatilitas stokastik dari harga saham yang berdasarkan proses Ornstein-Uhlenbeck. Model ini digunakan agar dapat menggambarkan sifat dari volatilitas yang ada pada pasar saham sesungguhnya. Untuk mengaproksimasi harga opsi call Eropa berdasarkan model tersebut, digunakan metode Euler-Maruyama. Diteliti juga laju konvergensi dari aproksimasi tersebut. Kemudian, dilakukan analisis terhadap hasil simulasi harga opsi menggunakan beberapa fungsi volatilitas harga saham yang berdasarkan proses Ornstein-Uhlenbeck. Hasil simulasi menunjukkan bahwa pemilihan fungsi volatilitas pada model pasar perlu dipertimbangkan lebih lanjut karena berkaitan dengan konsep mean-reversion yang diharapkan dari volatilitas pasar saham di dunia nyata.

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Option pricing holds a crucial role in trading to make decision that would lead to the best benefit for both the option buyer and seller. The market model that could be used for option pricing is Black-Scholes model with stochastic stock prices volatility driven by Ornstein-Uhlenbeck process. This model is used in order to reflect the properties of the volatility in the real market. In this short thesis, Euler-Maruyama method is used to approximate the price of the European call option based on that model. The rate of convergence of the approximation is also determined. The simulation of the option price approximation is performed with some Ornstein-Uhlenbeck-driven volatility functions for the stock price model. The result of the simulation shows that the choice of the volatility function for the stock price model needs to be scrutinized since it is related to the mean-reversion concept that is expected from the stock prices volatility in real market."

"Model Cox, Ingersol and Ross (CIR) merupakan salah satu model stokastik yang menggambarkan perubahan tingkat bunga untuk jangka waktu yang pendek. Model ini mempunyai sifat mean reversion. Untuk jangka waktu yang lama, diperoleh bahwa mean dan variansi dari tingkat bunga pada saat jatuh tempo mendekati suatu nilai. Pada skripsi ini akan dihitung harga dari zero ? coupon bond untuk tingkat bunga mengikuti model CIR. Diperoleh bahwa jika tingkat bunga naik, harga dari zero ? coupon bond akan turun."

"Radikalisasi pemahaman agama Islam yang terjadi di kalangan pelajar SMA menunjukkan lemahnya identitas kebangsaan sebagai identitas utama yang dapat memfasilitasi terbentuknya pemahaman agama Islam yang inklusif. Upaya kontra radikalisasi yang dilakukan pada pelajar SMA saat ini masih terfokus pada sosialisasi terhadap bahaya terorisme dan belum secara strategis berusaha memperkuat identitas kebangsaan sebagai identitas sosial yang dapat dikapitalisasi menjadi identitas utama. Fokus penelitian ini adalah upaya intervensi memperkuat identitas kebangsaan dengan menggunakan Appreciative Inquiry sebagai teknik. Intervensi diberikan dalam bentuk workshop ?Pelajar Hebat Untuk Indonesia Hebat? selama enam jam dalam satu hari. Pengukuran dampak Intervensi dilakukan dengan uji hasil pre-test post test skala Identitas Kebangsaan menggunakan Wilcoxon Signed-Rank Test sebagai statistika nonparametrik. Uji tersebut menghasilkan nilai p sebesar 0.034 yang menunjukkan bahwa intervensi memperkuat identitas kebangsaan pelajar SMA.

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The radicalization process of understanding Islam as a religion which occurred among high school students has showed how weak national identity is as a primary identity that can facilitate the formation of an inclusive understanding of Islam. Counter-radicalization efforts conducted on high school students are still focused on the socialization of the danger of terrorism and yet strategically trying to strengthen national identity as a social identity that can be capitalized into the main identity. The focus of this research is an intervention to strengthen national identity by using Appreciative Inquiry as its technique. Interventions are given in the form of workshop titled 'Pelajar Hebat untuk Indonesia Hebat? for six hours in one day. Measuring the impact of the intervention carried out by testing the results of pre-test post-test of national identity scale using the Wilcoxon Signed-Rank Test as nonparametric statistics. The test produces a p-value of 0.034 which indicates that the intervention strengthens the national identity of high school students."

"Meskipun Kementerian BUMN telah memiliki suatu alat untuk mengukur tingkat kesehatan BUMN Non Jasa Keuangan yaitu berdasarkan Keputusan Menteri BUMN Nomor Kep-100/MBU/2002 Tentang Penilaian Tingkat Kesehatan BUMN, namun belum banyak penelitian yang menguji tingkat akurasi motede penilaian tersebut. Dikarenakan keterbatasan data, maka pengujian yang dilakukan dalam penelitian ini adalah dengan membandingkan hasil penilaian kesehatan berdasarkan Keputusan Menteri BUMN Nomor KEP-100/MBU/2002 dengan hasil penilaian tingkat kesehatan berdasarkan Emerging Market Scoredengan melakukan uji korelasi Rank Spearman dan menganalisa faktor-faktor yang menyebabkan perbedaan antara kedua metode tersebut. Metode Emerging Market Score dipilih karena metode ini diciptakan untuk dapat diterapkan baik perusahaan terbuka maupun tertutup di negara berkembang, dimana karakteristik ini sesuai dengan karakteristik BUMN di Indonesia.Hasil pengujian menunjukkan bahwa penilaian kesehatan berdasarkan Keputusan Menteri BUMN Nomor Kep-100/MBU/2002 cenderung lebih optimisdibandingkan kondisi BUMN Non Jasa Keuangan sebenarnya.Penelitian ini merekomendasikan penelitian lebih lanjut untuk membangun suatu model penilaian kesehatan dengan menggunakan data BUMN di Indonesia sehingga memiliki tingkat akurasi yang lebih baik.

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Although The Ministry of State Owned Enterprises of Indonesia already had a tool in assessing Non Financial Service State Owned Enterprises‟ financial health as stated in Keputusan Menteri BUMN Number: KEP-100/MBU/2002, appropriate tests of whether the method really accurate in practice is lacking. Since there is no sufficient data available to do a sophisticated accuracy tests, the test in this research is done by comparing the assessment results using The Ministry of State Owned Enterprises‟ method with Emerging Market Score‟s results with Spearman‟s Rank Correlation test. The Emerging Market Score method is chosen because it was specifically developed to be applied in public companies as well as private companies in emerging markets, which is appropriate with the characteristic of Indonesian State Owned Enterprises. The findings from this research provide evidence that the method developed by The Ministry of State Owned Enterprises tends to generate overvalued financial health conditions of the Non Financial Service SOEs. This thesis recommends further research to build a model based on Indonesian SOEs financial performances to have a higher degree of accuracy."