Answer and Explanation:
The computation of the net present value is presented in the attachment below:
For project A, the net present value is $91,771.53 and for project B, the net present value is $79,390.69
It is computed after considering the discounting factor that comes from
= 1 ÷ (1 + discount rate)^number of years
for year 1, it is
= 1 ÷ (1 + 0.06)^1
The same applied for the remaining years
Answer:
Answer is explained in the explanation section.
Explanation:
Note: First of all, this question is incomplete and lacks necessary data to calculate this question. However, I have found the similar question on the internet with complete data given. Additionally, I have shared that data as well in the attachment below for your convenience, Thanks.
Solution:
SD = Standard Deviation
Using utility function, E(R) = Rp - 0.005 x A x = 1.34 - 0.005 x 3x
Using utility function, E(R) = 1.093%
If the weight in the risky portfolio is let's say, "a" then,
weight in the risk-free asset = 1 - a
So,
E(R) = a x Rp + (1 - a) x Rf
1.093% = a x 1.34% + (1 - a) x 0.50%
Solving for "a"
a = 70.56% - weight in risky portfolio
and 1 - a = 29.44% - weight in risk-free asset.
Similarly, if you want a return of 1.10%,
we can follow the above steps and get
1.1% = a x 1.34% + (1 - a) x 0.5%
Weight in risky portfolio,
a = 71.43%
weight in risk-free asset,
1 - a = 28.57%
