B.Com In Investment Management SEM I 2022 2023 Dec 2023 INV. MGT. QUANTITATIVE TECHNIQES Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q1 Attempt Both (A) and(B):
   • A) Write the appropriate answer (Answer any eight) 8
   • 1.The data collected by investigation using questionnaire is called
   • a) Secondary Primary datac) Analysis d) None of these
   • 2.To calculate the rank correlation coefficient , we find between the ranks
   • a) Sum b) Mean c) difference d) none of these
   • 3. is not used for future Value
   • 4. The Present value is always the future Value
   • a) more than b) less than c) equal to d) independent of
   • 5. An annuity in which all payments are equal is called
   • 6.An annuity is
   • a)an annual payment of interest a sequence of payments made at successive time period
   • c) payment passed in the annual general d) None of these
   • 8.EMI stand for
   • 10. At maxima, second order derivative is
   • a) less then zero b) zero c) Greater than zero d) None of these
   • B)State whether the following statement are true or False (Answer any 7) 7
   • 1. takes into account all the observation in the data
   • 2. If r=1,then there is correlation between the two variables
   • 3. If the interest is charged only on principal . it is called simple greater than the compound
   • 4. Mode can be obtained using a Histogram
   • 5. Range is determined only by two point in the data set
   • 6. Simple interest is always less then compound interest
   • 7. Mean deviation is based on all observations < 0, then the function f(x) is increasing at x=c
   • 9. If = 7 It elasticity is between zero and one, the demand is inelastic
2. Q2 A) A person is supposed to pay a bank Rs. 5000, Rs 6000 and Rs. 7000 at the end of 1,2 and 3 yearrespectively .He offer to settle the payments now itself . How much will he have to pay now ,with rate of Compounding at 12% P.a 8 marks
   • B) Calculate the mode of the following data . 7
   • C) The arithmetic mean of work of 30 students was calculated as 65 with standard deviation of 11. However ,it was later noted that the marks of two students were wrongly taken 23 and 15 instead.of their correct marks 32 and 5] . Gnd corrected arithmetic mean and Standard deviation 8
   • D) Calculate Mean deviation from median for the following data : 7
3. Q3 A) the derivative of the following function : 8 marks
   • a) find y = log(x + — 3x + 4)
   • b) find y =x — + Vx If D = 25- 3p- p 2 be demand function elasticity of demand ,when p=3. (7)
   • C) A workshop company is to produce toy cars .the total cost function is given by C=2000 +.50x , where C is total cost of producing x toys cars. The total revenue R is given by R= 100x. find the point at which the workshop will have Break-even 8
   • D) Find the maturity amount of a deposit of Rs.4,00,900 compounded semi-annually for one year at
4. Q4 A)Calculate Coefficient between marks in Mathematics and marks in English of 6 students 8 marks
   • B) Two judge X and Y awarded the following ranks to 7 contestants at a beauty contest Calculate Coefficient of Correlation. (7)
   • C) Find the two regression equation from the following data 8
   • D) Calculate the standard deviation of the data giving the number of defected in 50 units If the value of a car gets depreciated by 20% per year ,what would be its value at (8) the end of 5 year . if its present value is if the car has an estimated life Gi vear find its 7
   • B) What dose a measure of dispersion add your knowledge of a statistical distribution? 7
   • C) Write the short note on (any three) 15
   • 1. Explain the application of Derivatives in business management
   • 2. Write difference between compound interest and simple interest
   • 3. Define annuity and its types 4, State limitation of Statistic
   • 5. What are the merits and demerits of range?

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