Answer:
Variance = 0.02141851
Explanation:
We first calculate the mean for the stocks
Mean = (0.1858 - 0.0558 + 0.2081) / 3
Mean = 0.3381 / 3
Mean = 0.1127
Variance = [(0.1858 - 0.1127)^2 + (- 0.0558 - 0.1127)^2 + (0.2081 - 0.1127)^2] / 3 -1
Variance = [0.0731^2 + (-0.1685^2) + 0.0954^2] / 2
Variance = 0.00534361 + 0.02839225 + 0.00910116 / 2
Variance = 0.04283702 / 2
Variance = 0.02141851
The variance of returns is 0.02141851
<u>Solution and Explanation:</u>
<u>
Answer:1</u> The total annual cash inflows associated with the new machine for capital budgeting purposes is:

=$10000
<u>Answer:2 </u>The internal rate of return promised by the new machine to the nearest whole percent is:
Particulars Year Amount ($)
Cash outflow 0 -40000
Cash inflow 1 10000
2 10000
3 10000
4 10000
5 10000
6 10000
IRR 13%
=13% using IRR function in excel.
<u>Answer:3</u> IRR=17%
with salvage value
Particulars Year Amount ($)
Cash outflow 0 -40000
Cash inflow 1 10000
2 10000
3 10000
4 10000
5 10000
6 22000
IRR 17%
using IRR function in excel.
Answer:
The given statement is FALSE.
Explanation:
It will only be till sustainable growth rate that the firm will not require external financing. The debt /ratio demands resources to sustain the operation, which are not powered by the profit margin.
Answer:
Total utility is 50
Explanation:
Mathematically;
TU = U1+MU2+MU3+MU4+MU5
TU = Total utility
U1= utility of 1st product of good Y
MU2= Marginal utility of 2nd product of good Y.............
MU5= Marginal utility of 5th product of good Y
Solution:
TUy= 15+15+10+7+3
TUy= 50.
Answer: 0.48
Explanation:
P(A/B) = P(AnB)/P(B) where:
P(A/B) = The probability of event A occurring given that B has occurred.
P(AnB) = The probability of both events A and B occurring.
P(B) = the probability that event B occurs.
So let
P(A) = Probability that the residents of a household own 2 cars.
P(B) = Probability that the annual household income is greater than $25,000.
The question tells us that
P(A/B) = 0.8
Note that: P(A) = 0.7, P(B) = 0.6.
Since we want to work out P(AnB), because it gives the probability that residents have an annual household income over $25,000 and own 2 cars.
We would Rearrange our initial equation to make P(AnB) the subject formula becoming;
P(A/B) = P(AnB)/P(B)
P(B)*P(A/B) = P(AnB)
So, inserting our probabilities into this equation gives:
0.6*0.8 = 0.48