Question 93 - In thin layer chromatography (TLC), let retention factor Rf = (distance traveled by solute) / (distance traveled by solvent). Silica gel is used as stationary phase which is more polar than the hexane solvent as mobile phase. If the Rf values of 3 solutes A, B and C are 1.5, 0.75 and 1 respectively, compare the polarities of A, B and C with reasons.
Polarities : A < C < B. A is least polar since it travels farthest with the mobile phase, whereas B is most polar as it is attracted to the stationary phase and travels least. The answer is given by Kang Chuen Tat; PO Box 6263, Dandenong, Victoria VIC 3175, Australia; SMS +61405421706; chuentat@hotmail.com; http://kangchuentat.wordpress.com.
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ACCOUNTING AND FINANCIAL ENGINEERING - EXAMPLE 34.1 : (i) In the pricing of engineering bonds, 3 sets of data for Portfolio Value, Probability, Senior Tranche and Junior Tranche are : $2000, 81 %, $1000, $1000; $1000, 18 %, $1000, $0; $0, 1 %, $0, $0. By assuming independent defaults, find the price for : (a) Senior Tranche; (b) Junior Tranche. (ii) Assuming statistical independence of the values in the sample, the standard deviation of the mean (S) is related to the standard deviation of the distribution (s) by : N x S x S = s x s, where N is the number of observations in the sample used to estimate the mean. In a drug development project, let s = 1. Find the value of S if such a similar project is performed 100 times.
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ACCOUNTING AND FINANCIAL ENGINEERING - EXAMPLE 34.18 : An investor is planning to purchase a small office for biochemical engineering consultancy on loan. In the calculation of the discount of payment in arrears, the following formula is used : y = 1 / (1 + r) ^ 1 + 1 / (1 + r) ^ 2 + 1 / (1 + r) ^ 3 + ... + 1 / (1 + r) ^ n where y = present value, r = interest rate of discount, n = number of payment, ^ = power used in certain computer languages for mathematics. (a) What is the meaning of : arrears? (b) Find a mathematical equation of y (1 + r). (c) Calculate, in less than 3 terms, y as a function of r and n.
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