Week4_FIN2062a_Feb2_PracticeQs_Ch1516_Answers
.docx
keyboard_arrow_up
School
George Brown College Canada *
*We aren’t endorsed by this school
Course
2102
Subject
Finance
Date
Feb 20, 2024
Type
docx
Pages
9
Uploaded by MegaIbexMaster927
QUIZ #2
FINANCIAL CALCULATION REVIEW
CHAPTER 15: INTRODUCTION TO PORTFOLIO MANAGEMENT
Rate of Return (Individual Security)
Question #1
:
On January 1, 2020, an investor purchases one share of Canadian Pacific Ltd on the TSX for $20.00. On January 1, 2021, the share was sold at a price
of $22.00. It’s dividend yield for the most recent period is 3%. What is the rate of return for the investor?
Formula:
Rate of Return (%)
= Cash Flow ($) +
(Sale Price – Purchase Price)
Purchase Price
Rate of Return (%)
=
$0.60
+ ($22.00 - $20.00)
$20.00
Rate of Return (%)
=
$0.60
+ $2.00
$20.00
Rate of Return (%)
=
$2.60
= 13.0%
$20.00
Question #2
:
On October 12, 2019, an investor purchases a bond with a face value of $100.00 with one year to maturity. It pays an interest rate of 6% annually and the purchase price is $101.50. What is the rate of return for the investor?
Formula:
Rate of Return (%)
=
Face Value ($) + Interest ($) - Sale Price
Purchase Price
Rate of Return (%)
=
$100.00 + $6 - $101.50
$101.50
Rate of Return (%)
=
$106.00 - $101.50
$101.50
Rate of Return (%)
=
$4.50
=
4.43%
$101.50
“Real” Rate of Return (Individual Security)
Formula:
“Real” Rate of Return (%)
= “Nominal” Rate of Return - Inflation
Rate of Return (Portfolio)
Question #3
:
Michael and Terry are comparing the rates of return on their stock portfolios to see whose advisor is doing a better job. They have exactly the same rates of return for the equities (10%), fixed income (6%) and cash (3%) in each of their portfolios. But Michael’s portfolio has a 70% equity, 25% fixed income and 5% cash allocation while Terry’s portfolio has a 30% equity, 60% fixed income and 10% cash allocation. Which advisor has generated a better rate of return? Formula:
Rate of Return (%)
= (r-1 x w-1) + (r-2 x w-2) + …. (r-n x w-n)
Michael
= (70% x .10) + (25% x .06) + (5% x .03)
= (0.07) + (0.015) + (0.0015)
= (0.087)
=
8.7%
Terry
= (30% x .10) + (60% x .06) + (10% x .03)
= (0.03) + (0.036) + (0.003)
= (0.069)
=
6.9%
Sharpe Ratio
Question #4
:
So, we now know that Michael’s portfolio generated the higher rate of return last year. But, we have also learned that we should take into account the level of “risk” that each portfolio is subject to. If Michael’s advisor tells him that the “standard deviation” for his portfolio = 20 and Terry learns that the “standard deviation” for his portfolio = 10, then which advisor has constructed the better portfolio based on a current “risk-free rate of return”
of 1.5%?
Formula:
Sharpe Ratio
=
Portfolio Return (%) - “Risk Free” Return)
Standard Deviation Michael
=
(0.087) - (0.015)
20 =
0.072
=
0.0036
20 Terry
=
(0.069) - (0.015)
10 =
0.054
=
0.0054 (Larger is better!!)
10
Portfolio Re-Balancing
Question #5
:
Following this discussion, Michael decides to talk with his advisor (who he hasn’t seen in 3 years). Together they decide that Michael’ portfolio needs to be re-balanced.
Remember that his base portfolio is 70% equity, 25% fixed income and 5% cash and the annual rates of return for each asset class has been: equities 10%, fixed income 6% and cash (3%). Michael’s original investment 3 years ago was $100,000.
What is the process for re-balancing Michael’s portfolio?
Step #1:
Determine the original
dollar value invested in each asset class.
Equities
= $100,000 X 70%
= $ 70,000.00
Fixed Income
= $100,000 X 25%
= $ 25,000.00
Cash
= $100,000 X 5%
= $ 5,000.00
Total
= $100,000.00
Step #2:
Determine the current
weighting and dollar value in each asset class.
Equities
= $70,000 X 10%
= $ 77,000.00
Fixed Income
= $25,000 X 6%
= $ 26,500.00
Cash
= $5,000 X 3%
= $ 5,150.00
Total
= $108,650.00
Step #3:
Using the base portfolio allocation, determine what the proper amount of money should be
in each asset class for the current portfolio value.
Equities
= $108,650 X 70%
= $ 76,055.00
Fixed Income
= $108,650 X 25%
= $ 27,162.50
Cash
= $108,650 X 5%
= $ 5,432.50
Total
= $108,650.00
Step #4:
Determine necessary adjustments by asset class.
Current
Target
Value
Value
Action
Equities
$77,000.00
$76,055.00
Sell $945.00
Fixed Income
$26,500.00
$27,162.50
Buy $662.50
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
Related Questions
Problem 1
Suppose your company wants to place an investment with a private equity firm with an
amount of Php 200,000 for 2021. Considering all the risks involved, the prevailing
discount rate is 12% and with a revenue stream/dividends below:
2022
5000
2023
6000
2024
7000
2025
8000
2026
9000
2027
10000
2028
11000
Determine the following:
a. NPV for the period 2022 through 2028;
b. Total NPV using manual computation;
c. Total NPV using the Excel function; and
d. IRR rate.
arrow_forward
Questions 6
The performance (%) of one stock and one bond over the past four years is as follows:
Return
Return
Return in 2018 Return in 2019 Return in 2020
Average
standard
in 2017
return
deviation
Stock
Bond
20
-30
25
15
25.33
1
3
3.75
?
a) What is the average return of the stock?
b) What is the standard deviation of the bond?
c) What are the two lessons from the capital market history?
arrow_forward
2 What is the Present Value of $10,000 invested in a 10-year US Treasury Note
(semi-annual coupon) issued Oct. 1, 2018 with a coupon of 3.225 pct. if the
Settlement Date was Oct. 4, 2018? Assume that the Maturity Date is
Sept. 30, 2028, and that the current yield on securities of this type is 1.4810
pct. Show me your math (or your calculator entries).
arrow_forward
Assume the risk-free rate on long-term Treasury bonds is 6.04%. Assume also that the average annual return on the Winslow 5000 is 11% as the expected return on the market. Use the SML equation (i.e., CAPM) to calculate the two companies' required returns.
Bartman Industries
Reynolds Inc.
Year
Stock Price
Dividend
Holding period return
Stock Price
Dividend
Holding period return
2020
$17.25
$1.15
$48.75
$3.00
2019
14.75
1.06
52.30
2.90
2018
16.50
1.00
48.75
2.75
2017
10.75
0.95
57.25
2.50
2016
11.37
0.90
60.00
2.25
2015
7.62
55.75
arrow_forward
QUESTION 2.b
Consider you are ready to make your first investment in the following three investment alternatives:
Alternative 1: Maxis bond that pays 10% on its par value in interest, sells for RM850, and matures in 12 years. For bonds of this risk class, you believe that a 12% rate of return should be required.
Alternative 2: Axiata preferred stock paying a dividend of RM6 and selling for RM40. Your required rate of return is 14%
Alternative 3: Digi common stock selling for RM50. The stock recently paid a RM5 dividend. The company’s return on equity is 16% and the company keeps 60% of the profits for reinvestment. You think a reasonable required rate of return for the stock is 18%.
Required:
b. Based your answer in (a) choose the best alternative(s) for your investment and provide the reason.Note: No need excle formula , thank you
arrow_forward
QUESTION 1
Suppose you purchased a stock a year ago. Today, you receive a dividend of $16 and you sell the
stock for $99. If your return was 11%, at what price did you buy the stock?
QUESTION 2
A stock's risk premium is equal to the:
a. risk-free rate plus the expected market risk premium
b. expected market risk premium times beta
c. expected market return times beta
d. treasury bill yield plus the expected market return.
arrow_forward
Question is in the screen shot
arrow_forward
(a)As an investor, you are holding the following investments:
Stock
Amount invested
beta
A
$40 million
1.4
B
$30 million
1.0
C
$60 million
0.8
You are planning to sell the holdings of Stock B. The money from the sale will be used topurchase another $20 million of Stock A and another $10 million of Stock C. The risk-free rateis 7 percent and the market risk premium is 6.5 percent. How many percentage points higherwill the required return on the portfolio be after you complete this transaction?
arrow_forward
Give typing answer with explanation and conclusion
You are considering investing in DPN stock. Your broker reports to you the following information on retrospective returns Ri, and the stock Pi. What was the dividend receiced in 2017? Year i Ri Pi 2016 0.10 $2.20 2017 0.05 $2.10 2018 -0.10 $1.08 2019 0.025 $1.05 What was the dividend received in 2017?
arrow_forward
Question 3: You are an active investor in the securities market and you have established an investment portfolio of two stock A and B five years ago. Required:
a) If your portfolio has provided you with returns of 9.7%, -6.2%, 12.1%, 11.5% and 13.3% over the past five years, respectively. Calculate the geometric average return of the portfolio for this period?b) AssumethatexpectedreturnofthestockAinyourportfoliois14.6%.The risk premium on the stocks of the same industry are 5.8%, the risk-free rate of return is 5.9% and the inflation rate was 2.7. Calculate beta of this stock using Capital Asset Pricing Model (CAPM)?
D) Assume that the following data available for the portfolio, calculate the expected return, variance and standard deviation of the portfolio given stock A accounts for 45% and stock B accounts for 55% of your portfolio?AB 12.5% 18.5%Expected returnStandard Deviation of return Correlation of coefficient (p) 0.415% 20%
arrow_forward
Need answer the financial accounting
arrow_forward
Need a solution to this Financial Accounting Question
arrow_forward
Problem Illustration 1: Valuing Bond Issue
Consider a P1,000 par value bond issued by MERALCO with maturity date of 2026
and a stated coupon rate of 8.5%. On January 1, 2007, the bond had 20 years left to
maturity, and the market's required yield to maturity for similar rated debt was 7.5%.
Based on the market's required yield to maturity, what is the value of the bond?
STEP 1: Timing and Amount of cash flows
STEP 2: Determine the YTM discount rate
STEP 3: Compute for the PV of cash flows
1
Bond
Value
= Interest
(1 + YTM Market) + Principal (1 + YTM Market)"
YTM Market
arrow_forward
I need answer of this question solution general finance
arrow_forward
Answer the first question
arrow_forward
A reputable company plans to place an investment with a private equity firm with an amount of Php 10M for 2023. Considering all the risks involved, the prevailing discount rate is 12% and with a revenue stream/dividends below:
2019: 995,000.00
2020: 1.380,000.00
2021: 1.575,000.00
2022: 1,930,000.00
2023: 2,954,000.00
2024: 3.408,644.00
2025: 6,354.941.00
What is the NPV?
arrow_forward
Risk and return
You are considering an investment in the stock market and have identified three potential stocks, they are Shanghai Fosun Pharmaceutical Group (HKG: 2196), China Petroleum & Chemical Corporation (HKG: 386) and Commonwealth Bank (ASX: CBA). The historical prices between 2013 and 2020 in the table below, note that these prices are recorded on the 1st day of the year, for example, 1st of January 2020. Students assume no dividend is distributed during this period and ignore the exchange rate conversion
1.Calculate the return and risk (standard deviation) of each stock.
Explain the relation (positive or negative) between risk and return based on your answers
2.Calculate the correlation coefficient between (a) Fosun and China Petroleum and (b) China Petroleum and CBA.
3.Calculate the expected (annual) return and standard deviation if you owned a portfolio consisting of 50% in Fosun and 50% in China Petroleum.
4.Calculate the expected (annual) return and…
arrow_forward
Q. 1
£4.50, was held for a year and then sold for £6.20, and which
paid a dividend at the end of the holding period of 20p?
Q. 2 The risk-free return is 11 per cent, Company J has a beta of
1.8 and an expected return of 21 per cent. Calculate the risk
premium for the market index over the risk-free rate
assuming J is on the security market line.
What is the holding- period return for a share which cost
Q. 3 What is Probability Analysis?
arrow_forward
Want the Correct answer from bellow options
arrow_forward
1.John owns shares of Tesla valued at $100,000 and shares of Amazon valued at $300,000 on Jan 1, 2021. Assume Tesla s expected return in 2021 is 22% and Amazon s is 18%. What is the expected return on the portfolio
19.40%
18.75%
21.00%
19.00%
20.25%
arrow_forward
Sir please help me sir urgently
arrow_forward
An investor who bought money-market securities at a yield of 5.50% p.a. and sold the parcel for a few weeks later at a yield of 5.85% p.a. would earn:
a interest
b a capital loss
c a capital gain
d. interest and a capital loss
e. interest and capital gain.
arrow_forward
You have the following share price of XYZ.
DATE
Price
2-Mar-2021
$100
3-Mar-2021
$60
4-Mar-2021
$40
5-Mar-2021
$100
Investor A bought 100 shares of XYZ on 2-Mar-2021 and sold all the shares on 5-Mar-2021. Which answer is the closest value to the geometric average rate of return for the investor?
A.
15%
B.
20%
C.
25%
D.
0%
arrow_forward
SEE MORE QUESTIONS
Recommended textbooks for you
Pfin (with Mindtap, 1 Term Printed Access Card) (...
Finance
ISBN:9780357033609
Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Publisher:Cengage Learning
Financial Reporting, Financial Statement Analysis...
Finance
ISBN:9781285190907
Author:James M. Wahlen, Stephen P. Baginski, Mark Bradshaw
Publisher:Cengage Learning
Fundamentals Of Financial Management, Concise Edi...
Finance
ISBN:9781337902571
Author:Eugene F. Brigham, Joel F. Houston
Publisher:Cengage Learning
Related Questions
- Problem 1 Suppose your company wants to place an investment with a private equity firm with an amount of Php 200,000 for 2021. Considering all the risks involved, the prevailing discount rate is 12% and with a revenue stream/dividends below: 2022 5000 2023 6000 2024 7000 2025 8000 2026 9000 2027 10000 2028 11000 Determine the following: a. NPV for the period 2022 through 2028; b. Total NPV using manual computation; c. Total NPV using the Excel function; and d. IRR rate.arrow_forwardQuestions 6 The performance (%) of one stock and one bond over the past four years is as follows: Return Return Return in 2018 Return in 2019 Return in 2020 Average standard in 2017 return deviation Stock Bond 20 -30 25 15 25.33 1 3 3.75 ? a) What is the average return of the stock? b) What is the standard deviation of the bond? c) What are the two lessons from the capital market history?arrow_forward2 What is the Present Value of $10,000 invested in a 10-year US Treasury Note (semi-annual coupon) issued Oct. 1, 2018 with a coupon of 3.225 pct. if the Settlement Date was Oct. 4, 2018? Assume that the Maturity Date is Sept. 30, 2028, and that the current yield on securities of this type is 1.4810 pct. Show me your math (or your calculator entries).arrow_forward
- Assume the risk-free rate on long-term Treasury bonds is 6.04%. Assume also that the average annual return on the Winslow 5000 is 11% as the expected return on the market. Use the SML equation (i.e., CAPM) to calculate the two companies' required returns. Bartman Industries Reynolds Inc. Year Stock Price Dividend Holding period return Stock Price Dividend Holding period return 2020 $17.25 $1.15 $48.75 $3.00 2019 14.75 1.06 52.30 2.90 2018 16.50 1.00 48.75 2.75 2017 10.75 0.95 57.25 2.50 2016 11.37 0.90 60.00 2.25 2015 7.62 55.75arrow_forwardQUESTION 2.b Consider you are ready to make your first investment in the following three investment alternatives: Alternative 1: Maxis bond that pays 10% on its par value in interest, sells for RM850, and matures in 12 years. For bonds of this risk class, you believe that a 12% rate of return should be required. Alternative 2: Axiata preferred stock paying a dividend of RM6 and selling for RM40. Your required rate of return is 14% Alternative 3: Digi common stock selling for RM50. The stock recently paid a RM5 dividend. The company’s return on equity is 16% and the company keeps 60% of the profits for reinvestment. You think a reasonable required rate of return for the stock is 18%. Required: b. Based your answer in (a) choose the best alternative(s) for your investment and provide the reason.Note: No need excle formula , thank youarrow_forwardQUESTION 1 Suppose you purchased a stock a year ago. Today, you receive a dividend of $16 and you sell the stock for $99. If your return was 11%, at what price did you buy the stock? QUESTION 2 A stock's risk premium is equal to the: a. risk-free rate plus the expected market risk premium b. expected market risk premium times beta c. expected market return times beta d. treasury bill yield plus the expected market return.arrow_forward
- Question is in the screen shotarrow_forward(a)As an investor, you are holding the following investments: Stock Amount invested beta A $40 million 1.4 B $30 million 1.0 C $60 million 0.8 You are planning to sell the holdings of Stock B. The money from the sale will be used topurchase another $20 million of Stock A and another $10 million of Stock C. The risk-free rateis 7 percent and the market risk premium is 6.5 percent. How many percentage points higherwill the required return on the portfolio be after you complete this transaction?arrow_forwardGive typing answer with explanation and conclusion You are considering investing in DPN stock. Your broker reports to you the following information on retrospective returns Ri, and the stock Pi. What was the dividend receiced in 2017? Year i Ri Pi 2016 0.10 $2.20 2017 0.05 $2.10 2018 -0.10 $1.08 2019 0.025 $1.05 What was the dividend received in 2017?arrow_forward
- Question 3: You are an active investor in the securities market and you have established an investment portfolio of two stock A and B five years ago. Required: a) If your portfolio has provided you with returns of 9.7%, -6.2%, 12.1%, 11.5% and 13.3% over the past five years, respectively. Calculate the geometric average return of the portfolio for this period?b) AssumethatexpectedreturnofthestockAinyourportfoliois14.6%.The risk premium on the stocks of the same industry are 5.8%, the risk-free rate of return is 5.9% and the inflation rate was 2.7. Calculate beta of this stock using Capital Asset Pricing Model (CAPM)? D) Assume that the following data available for the portfolio, calculate the expected return, variance and standard deviation of the portfolio given stock A accounts for 45% and stock B accounts for 55% of your portfolio?AB 12.5% 18.5%Expected returnStandard Deviation of return Correlation of coefficient (p) 0.415% 20%arrow_forwardNeed answer the financial accountingarrow_forwardNeed a solution to this Financial Accounting Questionarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Pfin (with Mindtap, 1 Term Printed Access Card) (...FinanceISBN:9780357033609Author:Randall Billingsley, Lawrence J. Gitman, Michael D. JoehnkPublisher:Cengage LearningFinancial Reporting, Financial Statement Analysis...FinanceISBN:9781285190907Author:James M. Wahlen, Stephen P. Baginski, Mark BradshawPublisher:Cengage LearningFundamentals Of Financial Management, Concise Edi...FinanceISBN:9781337902571Author:Eugene F. Brigham, Joel F. HoustonPublisher:Cengage Learning
Pfin (with Mindtap, 1 Term Printed Access Card) (...
Finance
ISBN:9780357033609
Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Publisher:Cengage Learning
Financial Reporting, Financial Statement Analysis...
Finance
ISBN:9781285190907
Author:James M. Wahlen, Stephen P. Baginski, Mark Bradshaw
Publisher:Cengage Learning
Fundamentals Of Financial Management, Concise Edi...
Finance
ISBN:9781337902571
Author:Eugene F. Brigham, Joel F. Houston
Publisher:Cengage Learning