Coursework 2 Mathematical Finance Group 27 Q1. Hedging in Complete and Incomplete market Solution: Complete market Suppose we have m states. A complete market A is one with the marketed subspace Span(A.1‚A.2‚ ⋯‚ A.n) includes all possible payoffs over the m states‚ i.e.‚ if it contains all possible m-dimensional vectors. Incomplete market Suppose we have m states. An incomplete market corresponds to a market with fewer linear independent
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APPENDIX A Individual Self Reflection Form (Max. 2 A4 pages) Student Name: Leung Wing Tung Student No.: 53051150 Part A What are individual goals and how are they achieved through this project? Since this is a group project‚ so the most important goal to me is to co-operate well with my group mates. We discuss every detail together and respect the opinions of each other‚ so that our project can be done smoothly. Moreover‚ another goal to me is to have a good time management. Since there are plenty
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the following in scientific notation. a 8000000 b 13400000000 c 0.00003451 5. a 1 Move the decimal point after the first significant figure. a 8 000 000 = 8 ⋅ 106 2 The decimal point has been moved 6 places left. 6. b 1 Move the decimal point after the first significant figure. b 13 400 000 000 = 1.34 ⋅ 1010 2 The decimal point has been moved 10 places left. 7. c 1 Move the decimal point after the first significant figure. c 0.000 034 51 = 3.451 ⋅ 10-5 2 The decimal point has been moved
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THE IMPORTANCE OF MATHEMATICS W. T. Gowers It is with some disbelief that I stand here and prepare to address this gathering on the subject of the importance of mathematics. For a start‚ it is an extraordinary honour to be invited to give the keynote address at a millennium meeting in Paris. Secondly‚ giving a lecture on the significance of mathematics demands wisdom‚ judgment and maturity‚ and there are many mathematicians far better endowed than I am with these qualities‚ including several
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Check your answers if you have time at the end. Turn over P40658A ©2012 Pearson Education Ltd. 6/6/6/4/6/3 *P40658A0120* FORMULAE SHEET – FOUNDATION TIER Area of a trapezium = 1 (a + b)h 2 Pythagoras’ Theorem a2 + b2 = c2 c a b h a b hyp opp adj = hyp cos opp = hyp sin opp = adj tan opp hyp adj hyp tan or sin cos adj Volume of prism = area of cross section opp adj cross section h lengt Circumference of circle
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deposit. Determine the equivalent discount rate for a period length of a. Six months. b. One year. c. One month. a. Since 6 months is [pic] of 2 years‚ using our rule [pic] So the equivalent 6 month rate is 4.66%. b. Since one year is half of 2 years [pic] So the equivalent 1 year rate is 9.54%. c. Since one month is [pic] of 2 years‚ using our rule [pic] So the equivalent 1 month rate is 0.763%. 5-2. Which
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Sing Yin Secondary School First Term Examination‚ 2009 – 2010 Mathematics 1 Form 3 Full marks: 100 Answer ALL questions. Unless otherwise specified‚ all working must be clearly shown. The diagrams in this paper are not necessarily drawn to scale. Unless otherwise specified‚ numerical answers should either be exact or correct to 3 significant figures. 1. 2. Time allowed: 1.5 hours Simplify 2 8 + 24 . x 2 − 5x − 6 ‚ x 3 − 27 . ( ) (4 marks) Factorize (a) (b) (4 marks) (4
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Suppose you work at a music store and have four CDs you wish to arrange from left to right on a display shelf. The four CDs are hip-hop‚ country‚ rock‚ and alternative (shorthand: H‚ C‚ R‚ A). How many options do you have? Solution: If you select H first then you still have three options remaining. If you then pick C‚ you have two CDs to choose from. You can find the number of ways to arrange your display by the factorial rule: for the first choice (event) you have 4 choices; for the second‚ 3;
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Vitamin C –A Natural Antioxidant Concept: Vitamin C (ascorbic acid) is an antioxidant. The amount of vitamin C content in food can be found out by titrating with an oxidising agent‚ e.g. iodine. In the reaction‚ vitamin C is oxidised‚ while iodine is reduced to iodide ions. The endpoint is determined by the formation of blue-black starch-iodine complex when all vitamin C is oxidised and excess iodine is free to react with the starch solution added as indicator. Introduction Vitamin C is an important
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History of C+ The creation of C++ was first put into motion in 1979 by its creator Bjarne Stroustrup. Bjarne was working on his PhD thesis at Cambridge University. He was using a large and detailed simulator‚ that he had written in Simula‚ to simulate running software over a network of computers. He found programming in Simula enjoyable and was impressed by how the programs class structure helped him organize his code. As the size of his program increased‚ he found that the language became increasingly
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