Exam (elaborations)
FIN2601 Assignment 2 COMPLETE ANSWERS) Semester 2 2024
- Course
- Financial Management
- Institution
- University Of South Africa
100% TRUSTED WORKINGS, EXPLANATIONS & SOLUTIONS
[Show more]
Seller
Follow
Content preview
FIN2601 Assignment 2COMPLETE ANSWERS)
Semester 2 2024
100% GUARANTEED
,FIN2601 Assignment 2 COMPLETE ANSWERS) Semester
2 2024
Question 1 Complete Mark 1.00 out of 1.00 QUIZ The
financial manager of Summer Financial Group is tasked
with evaluating the standard deviation of a proposed
investment project. This analysis aims to provide insights
into the potential risk associated with the project's
expected returns, which are linked to the future
performance of the economy over a specific period as
follows: Economic scenario Probability of occurrence Rate
of return Recession 0,1 20% Normal 0,6 13% Boom 0,3
17% What is the standard deviation of the proposed
investment project? 1. 7,07% 2. 10,45% 3. 15,81% 4.
18,67% −
To calculate the standard deviation of the proposed investment project, we can follow these
steps:
1. Calculate the Expected Rate of Return (E[R]):
E[R]=(P1×R1)+(P2×R2)+(P3×R3)E[R] = (P_1 \times R_1) + (P_2 \times R_2) + (P_3 \
times R_3)E[R]=(P1×R1)+(P2×R2)+(P3×R3)
Where:
o P1,P2,P3P_1, P_2, P_3P1,P2,P3 are the probabilities of the scenarios.
o R1,R2,R3R_1, R_2, R_3R1,R2,R3 are the corresponding rates of return.
E[R]=(0.1×20%)+(0.6×13%)+(0.3×17%)E[R] = (0.1 \times 20\%) + (0.6 \times 13\%) +
(0.3 \times 17\%)E[R]=(0.1×20%)+(0.6×13%)+(0.3×17%)
E[R]=0.02+0.078+0.051=0.149=14.9%E[R] = 0.02 + 0.078 + 0.051 = 0.149 =
14.9\%E[R]=0.02+0.078+0.051=0.149=14.9%
2. Calculate the Variance (σ²):
σ2=P1×(R1−E[R])2+P2×(R2−E[R])2+P3×(R3−E[R])2\sigma^2 = P_1 \times (R_1 -
E[R])^2 + P_2 \times (R_2 - E[R])^2 + P_3 \times (R_3 - E[R])^2σ2=P1×(R1
−E[R])2+P2×(R2−E[R])2+P3×(R3−E[R])2 σ2=0.1×(20%−14.9%)2+0.6×(13%
−14.9%)2+0.3×(17%−14.9%)2\sigma^2 = 0.1 \times (20\% - 14.9\%)^2 + 0.6 \times
(13\% - 14.9\%)^2 + 0.3 \times (17\% - 14.9\%)^2σ2=0.1×(20%−14.9%)2+0.6×(13%
, −14.9%)2+0.3×(17%−14.9%)2 σ2=0.1×(5.1%)2+0.6×(−1.9%)2+0.3×(2.1%)2\sigma^2 =
0.1 \times (5.1\%)^2 + 0.6 \times (-1.9\%)^2 + 0.3 \times
(2.1\%)^2σ2=0.1×(5.1%)2+0.6×(−1.9%)2+0.3×(2.1%)2
σ2=0.1×0.002601+0.6×0.000361+0.3×0.000441\sigma^2 = 0.1 \times 0.002601 + 0.6 \
times 0.000361 + 0.3 \times 0.000441σ2=0.1×0.002601+0.6×0.000361+0.3×0.000441
σ2=0.0002601+0.0002166+0.0001323=0.000609\sigma^2 = 0.0002601 + 0.0002166 +
0.0001323 = 0.000609σ2=0.0002601+0.0002166+0.0001323=0.000609
3. Calculate the Standard Deviation (σ):
σ=0.000609≈0.02466=2.47%\sigma = \sqrt{0.000609} \approx 0.02466 =
2.47\%σ=0.000609≈0.02466=2.47%
Since the calculated standard deviation of 2.47% does not match any of the options provided,
there may have been a calculation error. I'll recalculate to ensure accuracy.
Let's compute the variance more carefully.
1. Calculate the Expected Rate of Return:
E[R]=(0.1×20%)+(0.6×13%)+(0.3×17%)=0.02+0.078+0.051=14.9%E[R] = (0.1 \times
20\%) + (0.6 \times 13\%) + (0.3 \times 17\%) = 0.02 + 0.078 + 0.051 =
14.9\%E[R]=(0.1×20%)+(0.6×13%)+(0.3×17%)=0.02+0.078+0.051=14.9%
2. Calculate the Variance:
σ2=0.1×(20%−14.9%)2+0.6×(13%−14.9%)2+0.3×(17%−14.9%)2\sigma^2 = 0.1 \times
(20\% - 14.9\%)^2 + 0.6 \times (13\% - 14.9\%)^2 + 0.3 \times (17\% -
14.9\%)^2σ2=0.1×(20%−14.9%)2+0.6×(13%−14.9%)2+0.3×(17%−14.9%)2
σ2=0.1×(5.1%)2+0.6×(−1.9%)2+0.3×(2.1%)2\sigma^2 = 0.1 \times (5.1\%)^2 + 0.6 \
times (-1.9\%)^2 + 0.3 \times (2.1\%)^2σ2=0.1×(5.1%)2+0.6×(−1.9%)2+0.3×(2.1%)2
σ2=0.1×(0.002601)+0.6×(0.000361)+0.3×(0.000441)\sigma^2 = 0.1 \times (0.002601) +
0.6 \times (0.000361) + 0.3 \times
(0.000441)σ2=0.1×(0.002601)+0.6×(0.000361)+0.3×(0.000441)
σ2=0.0002601+0.0002166+0.0001323=0.000609\sigma^2 = 0.0002601 + 0.0002166 +
0.0001323 = 0.000609σ2=0.0002601+0.0002166+0.0001323=0.000609
3. Calculate the Standard Deviation:
σ=0.000609=0.02466=2.47%\sigma = \sqrt{0.000609} = 0.02466 = 2.47\%σ=0.000609
=0.02466=2.47%
It seems there was an error in identifying the correct standard deviation. I will compute this once
more using a different approach.
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through EFT, credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying this summary from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller Tutorials. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy this summary for R47,66. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
53068 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy summaries for 14 years now