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Introduction to Financial Mathematics
DSC1630 Assignment 4 (COMPLETE ANSWERS) Semester 2 2024 (234769)
- DUE 26 September 2024 ; 100% TRUSTED Complete, trusted solutions and
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Question 1 Complete Mark 1.00 out of 1.00 QUIZ Sophie wants to buy the
Ever-so-Young shop around the corner. The following cash fl ows are involved
Time in years Cash fl ows (R) 2 200 000 3 –500 000 7 700 000 8 850 000 9 –
210 000 Sophie can borrow money at 19% per annum while she can invest at
17,5% per annum. The present value of the cash outfl ows is a. R340 590,94.
b. R357 407,06. c. R524 888,51. d. R535 703,05. Question 2 Complete Mark
1.00 out of 1.00 Question 3 Complete Mark 1.00 out of 1.00 The following is
the price equation for Bond 733: The yearly yield to maturity is a. 7,87%. b.
15,74%. c. 16,55%. d. 19,39%. 96, 80770 = 7, 5a1¬5 i + 32, 09888 An estate
agent suspects that a linear relationship exists between the number of houses
sold ( y ) and the monthly loan payments ( x ). Heanalyses the following data
over the past fi ve months: Monthly loanpayments inR1 000's ( x ) Number of
housessold ( y ) 3,7 16 5,6 25 7,5 80 18,9 45 28,4 12 The slope of the linear
regression line is approximately a. −0,66. b. −0,25. c. −0,09. d. 10,53.
Question 4 Complete Mark 1.00 out of 1.00 Question 5 Complete Mark 1.00
out of 1.00 Question 6 Complete Mark 1.00 out of 1.00 An estate agent
suspects that a linear relationship exists between the number of houses sold (
y ) and the monthly loan payments ( x ). Heanalyses the following data over
the past fi ve months: Monthly loanpayments inR1 000's ( x ) Number of
housessold ( y ) 3,7 16 5,6 25 7,5 80 18,9 45 28,4 12 The correlation coeffi
cient is approximately a. −0,66. b. −0,25. c. −0,09. d. +1,40. The standard
deviation is a. the square root of the variance. b. a measure of variability. c. an
approximate indicator of how numbers vary from the mean. d. all of the other
options. A linear correlation coeffi cient of r = −0,95 that has been calculated
for a data set means a. the linear relationship between two variables is weak.
b. the non-linear relationship between two variables is strong. c. the linear
relationship between two variables is strong but negative. d. the linear
relationship between two variables is strong and positive. Question 7
Complete Mark 1.00 out of 1.00 Question 8 Complete Mark 1.00 out of 1.00 A
banker has collected the following sample data of the number of loans he
approved per day, in the past week: 3 5 12 3 2 The variance of the data set,
rounded off to one decimal place, is a. 4,1. b. 13,2. c. 16,5. d. 80,0. Sophie
