B.Com In Investment Management SEM I 2019 2020 Nov 2020 INV. MGT QUANTITATIVE TECHNIQUES Question Paper - Mumbai University | munotes

Questions asked in this paper

• 2. Figures to the right indicate maximum marks allotted to the sub-questions

1. Q1 A] Attempt any eight multiple choice questions: For first year simple interest and compound interest are 8 marks
   • 2. The point at which there is no profit and no loss is called the
   • 3. The median of a given frequency distribution is found graphically with the
   • 4. In case of extreme values the best measure of central
   • a) A.M. b) Median c) Mode d)None of the above For finding correlation between two attributes we consider
   • c) Both a and b
   • d) None of the above
   • 6. Two samples A and B have the same standard deviation but the mean of A is greater than that B the coefficient of variation of A is
   • a) Greater than that of B b) Less than that of B
   • c) Equal to that of B d) None of these f the demand is called inelastic if the price elasticity of demand is ‘ N
   • a) Greater than one b) Zero
   • c) one d) between Zero and One
   • c) Both A and B d) None of the above
   • 9. A statistical measure, calculate for all objects in the population is called as Parameter b) Attribute c) Variable d) None of these
   • 10. A function of the form f(x) = 2x — 3 is called function
   • B] Attempt any seven True or False: 7
   • 1. Two regression lines do not have any common point
   • 2. Demand function is an increasing function
   • 3. Range calculates the difference between two middle observations
   • 4. Increase in frequency of compounding within a year with decrease in maturity amount
   • 5. Correlation coefficient is not affected by change of scale and origin
   • 6. An annuity in which the number of payments are fixed is called certain annuity
   • 7. Standard deviation is equal to the square root of the variance
   • 8. Derivative of constant function is always zero
   • 9. Any finite set of objects selected from a population is called sample. =
   • 10. The difference between extreme values of a class interval is called length of class interval
2. Q2 A] The following data gives the consumption of electricity. Represent it by Histogram and frequency polygon. [7] the Mean and Mode for following data: [8]
   • C] Draw ‘less than’ curve for the following data. 7
   • D] The distribution of height of 100 children is given below. Find the D, and P37. 8
3. Q3 A] The following data gives the frequency of divorces of couples in America
   • B] Calculate Karl Pearson’s coefficient of correlation from the following data: 8
   • C] Calculate the quartile deviation and coefficient of quartile deviation for the following data giving the life of 500 tubes. [7]
   • D] Find two regression equations for the following data and hence estimate Y when X=15
4. Q4 A] The simple interest on Rs.6,000 for 4 years at 10% p.a. is same as interest on Rs.10,000 for a number of years at 8% p.a. Find the number of years. [7]
   • B] A company decides to set up a small production plant for manufacturing shoes. The fixed cost for the set-up is Rs. 9 lakhs. The variable cost per pair of shoes is Rs. 300. Each pair of shoes is sold at Rs. 750. Find the total function, total revenue function, the profit function and
   • C] A TV set is purchased for Rs.25,00 down payment and 4 equal instalment of Rs.20,000 at the end of each of the next 4 years. If the compound interest charged is at 12% p.a., Find the present cash price of the TV set. [7]
   • D] The cost function is given by C = 3x? + 5x? + 4. Find the average cost, the marginal cost and average marginal cost when x = 4. [8]
5. Q5 A] What are the requisites of a good measure of dispersion? 7 marks
   • B] Define the annuity and explain types of annuity. 8
6. Q5 Write short note on any three: 15 marks
   • i) Primary data
   • ii) Merits & Demerits of Median
   • iii) EMI
   • iv) Types of function
   • v) Properties of regression

Read from the scan above, so a character or two may differ. The scan is the original.