Module 4 Q&A
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Chapter 10: Investment Return an
d Risk
Which of the following is not true with respect to IPOs?
A. The return on IPOs is commonly high over the first day.
B. Individual investors normally have the first shot at purchasing shares of an IPO.
C. Many IPOs have performed poorly over the long term.
D. All of the above are true with respect to IPOs.
1.
Olaf Anu owns shares in a stock where the market value of the firm is $600 million and the number of shares outstanding is 130,000. What is the value of the stock on a per share basis?
Solution
Value of stock per share = Market value per share / # of share Outstanding
= 600milllion/130000 = $4615.38 per share
2.
Joel purchased 100 shares of stock for $19 per share. During the year, he received dividend cheques amounting to $146. After three years, Joel sold the stock for $29 per share. What was his holding period return? What is the dollar amount of Joel's return?
Solution
HPR= (end. Value – Begin. Value + income) / begin. Value = (29-19+(146/100)) / 19 = 60.32%
Dollar returns per share = Begin. Value * HPR = 19*60.32% = $11.46 per share
Dollar amount = shares owned * Dollar returns per share = 100*$11.46 = 1146
3.
John purchased 100 shares of Toronto Dominion Bank in December 2019 at a total cost of $1,724. He held the shares for 15 months and then sold them for $2,226. During the period he held the stock, the company paid him $3 per share in dividends. Calculate John's holding period return.
Solution
End. = 2226/100 = $22.26 per share; Begin. = 1724/100 = $17.24 per share
HPR= (end. Value – Begin. Value + income) / begin. Value = (22.26-17.24+3)/17.24 = 46.52%
4.
The current 3-month Government of Canada Treasury Bill rate is 0.5 percent. If Anne requires 7 percent extra yield on Stock A, what is her required rate of return?
Solution
R = R(f) + RP = 0.5% + 7% = 7.5%
5.
Abigail expects inflation to be 2 percent over the next 9 months. She would like to earn a real rate of
return of 3 percent on her bond investment. If the bond is expected to provide a return of 8 percent,
what was the additional return beyond the risk-free rate that she earned on her investment?
Solution
R = RR + IP + RP 8% = 3% + 2% +RP
RP= 3%
6.
Emma bought 100 shares of stock a year ago for $55 per share. She received no dividends on the stock and sold the stock today for $35 per share. What is Emma's annualized return on the stock?
Solution
HPR = (End. Value – Begin. Value) / Begin. Value = (35-55) / 55 = -36.36%
7.
Value of Investment. Tammy has $2,850 that she wants to invest in stock. She believes she can earn
a 12% annual return. What would be the value of Tammy's investment in 10 years if she is able to achieve her goal?
Solution
8.
Value of Investment.
Dawn decides to invest $1,480 each year in stock at the end of each of the
next five years. She believes that she can earn an 8% return over that time period. How much will Dawn's investment be worth at the end of five years?
Solution
9.
Value of Investment.
Bob purchased stock in a new social media company for $37 per share shortly after the stock's IPO. The stock had been heavily publicized on the Internet. Over the next three years, the stock price declined by 13
% each year. What is the company's stock price after three years?
Solution
Future stock price = present stock price (1+ i)^n = 37(1-0.13)^3 = 24.36
10.
Value of Investment.
Morris will start investing $1,530 a year in stocks. He feels he can average a 9% return. If he follows this plan, how much will he accumulate in 10 years? In 20 years? In 30 years?
Solution
change N(20, 30) to get the other results.
11.
Thomas purchased 400 shares of stock A for $25 per share and sold them more than a year later for $18 per share. He purchased 480 shares of stock B for $41 per share and sold them for $56 per share after holding them for the same time period. If Thomas is in a 30 percent tax bracket, what will his owing on taxable capital gains be for the year?
Solution
Stock A Capital Gain = 400(18-25) = -$2800
Allowable capital loss/gain = -2800/2 = -$1,400
Stock B Capital Gain = 480(56-41) = $7200
Allowable capital loss/gain = 7200/2 = $3,600
Owing on Tax = Net Capital Gain * Tax Rate = (3600+(-1400)) * 30% = $660
12.
Floyd wants to invest the $14,500 he received from his grandfather's estate. He wants to use the money to finance his education when he pursues his doctorate in five years. What amount will he have in five years if he earns a 10 percent return? If he receives a 12 percent return? A 13 percent return? All rates of return are compounded monthly.
Solution
Effective Interest Rate = (1+ i/12)^12 -1 Floyd’s real value of earnings = (1+ (0.1/12))^12 -1= 0.104713
Floyd’s real value of earnings = (1+ (0.12/12))^12 -1= 0.12682
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Floyd’s real value of earnings = (1+ (0.13/12))^12 -1= 0.13803
13.
Odell pays $8,200 for a bond that pays an annual dividend of $300. The bond has a par value of $10,000. If Odell holds the bond until it matures in exactly three years' time, what will be his return on investment? What will be the annualized return on his investment?
Solution
Income for 3years= 300*3 = 900
HPR= (end. Value – Begin. Value + income) / begin. Value
= (10000-8200+900)/ 8200 = 32.93%
14.
Refer to the accompanying table. Between Investor A and Investor B, which is more likely to represent a retired couple? Why?
Mutual fund ▼
A/B is the higher risk mutual fund since it has a ▼
smaller
/larger beta. This means that investor ▼
A / B is more likely to represent the retired couple because they have ▼
less / more of their assets
allocated into the riskier mutual fund.
15.
___________ is not
a common investment mistake made by individuals. (Select the best answer below.)
A.
Borrowing to invest
B.
Making decisions based on unrealistic goals
C.
Taking risks to recover losses from previous investments
D.
All of the above are common investment mistakes made by individuals.
16.
In the secondary
market,
stock prices
are: determined by supply and demand
17.
Which of the following statements is
correct? Ans: Portfolio managers are the employees of financial institutions who make investment decisions.
Mutual Fund AMutual Fund B
Beta
1.7
1.1
Asset allocation - Investor A
25%
75%
Asset allocation - Investor B
75%
25%
18.
Investing in growth stocks usually refers
to: younger companies with potential for large capital gains.
19.
The difference between common and preferred stock is that preferred
stock
: has predictable income and more safety.
20.
If you wish to have a direct voice in the running of a
company,
you should
purchase: c
ommon stock.
21.
Fernando purchased 1500 shares of Johnson Enterprises Inc. for
$23
per share in 2006. During
2007,
Johnson Enterprises paid a dividend of
$1
per share. Fernando sold his shares in Johnson Enterprises for
$26
per share at the end of 2007. What was his investment return during the holding
period?
Round your answer to one decimal place.
ANS: HPR= (26-23)/23 = 13.0%
22.
Investment risk refers
to: volatility in investment returns.
23.
Which of the following statements regarding the trade-off between risk and return is incorrect? The risk of your investment is that the firm may be unable to make its dividend payment if its financial condition deteriorates
.
24.
You can reduce your investment risk most effectively through: asset allocation.
25.
With respect to investment return, the benefits of portfolio diversification include:
A.
an equally weighted portfolio of two stocks will have a rate of return that is equal to the average return of the two stocks combined.
B.
all of the above.
C.
on average, the range of returns of a portfolio of investments is less than the range of returns
of any individual investment.
D.
a portfolio of investments will result in a smoother trend of returns since returns are averaged among the investments in the portfolio.
26.
When investment A performs
well,
investment E does poorly. When A performs
poorly,
E does well. This is referred to
as: negative correlation.
27.
To diversify your portfolio against weak economic conditions in
Canada,
it is important to diversify your stocks
across: countries.
28.
Lee Ann would like to diversify her individual stock portfolio with other investments.
Currently,
she owns a portfolio of five stocks. Which of the following investments would you be least likely to recommend to Lee Ann in order to help her achieve her
goal? Real estate
29.
Your current investment portfolio is equally diversified across
stocks,
bonds, and real estate. You have decided to reposition your portfolio based on your expectations about economic conditions. For the upcoming
year,
you expect stock market conditions to be
weak,
interest rates to
decrease,
and real estate conditions to be unfavourable. Which of the following investments would you most likely add to your
portfolio? A bond mutual fund containing bonds with long maturities.
30.
True or
False
?
Common stock refers to a certificate issued by a firm to raise funds that entitles shareholders to first priority to receive dividends.
31.
True
or
False?
The secondary market facilitates the trading of existing securities by enabling investors to sell their shares at any time.
32.
True or
False
?
Value stocks represent the stocks of firms with substantial growth opportunities.
33.
True or
False?
The price of preferred stock is not as volatile as the price of common stock.
34.
True or False? Real estate can be rented to generate income in the form of rent payments. In addition, investors may earn a capital gain if they sell the property for a higher price than they paid for it.
35.
True or
False?
A poorly managed company that suffers a decrease in its stock price is an example of
systematic risk.
36.
True or
False
?
An investment with a high standard deviation is more likely to experience a large gain or a small loss in a given period.
37.
True or
False?
Investors expect a higher return for taking on additional risk.
38.
True or
False
?
Portfolio construction involves the selection of investments that exhibit positive correlation.
39.
True or
False
?
The returns on stocks and the returns on bonds are highly correlated.
40.
True
or False? To reduce your exposure to stock market risk, you could invest in either long−term debt securities or money market securities.
Chapter 11: Investing In Stock
1.
Becky short sells 200 shares of a stock for $7 per share. Refer to the margin requirements below to answer the following questions. (Assume that she incurs no additional costs.)
a.
How much does she need to deposit in her margin account to complete this short sale?
b.
How much does she need to deposit in her margin account if the original stock price was $1.50?
Solution
a.
The total value of the short sale = 200*$7*150%= $2,100
Margin Requirement = 2100 – (200*$7) = $700
b.
The total value of the short sale = 200*$3.00= $600
Margin Requirement = 600 – (200*$1.50) = $300
2.
Jin buys 300 shares of a stock at $70 per share in his margin account. Refer to the margin requirements below to answer the following questions.
(Assume that he incurs no additional
costs.)
a.
What is his margin requirement in dollars?
b.
What is his return on investment if the stock price rises to $90 per share and he sells his shares?
c.
If the stock price decreases to $60 and Jin decides to sell the stock, what is his return on investment? What is the most amount of money that he could lose on this investment?
Solution
a.
The margin requirement
= 300*70*50% = $10,500
b.
Total investment = 10,500+10,500 = $21,000 (the most amount of money that could lost here)
Sale price = 300*$90 = $27,000
Initial investment = $10,500
Return on investment
= (27,000 – 21,000)/10,500 = 57.14%
c.
Sale price = 300*$60 = $18,000
Initial investment = $10,500 Return on investment
= (18,000 – 21,000)/10,500 = -28.57%
3.
Denise has a choice between two stocks. Stock A has a current stock price of $33.25 and earnings per share of $2.51. Stock B has a current stock price of $30.65 and earnings per share of $2.92. Both
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stocks are in the same
industry, and the average
P/E ratio for the industry is 13. Using the
P/E ratio, which stock is the better
choice? Solution
Stock A: P/E= 33.35/2.51= 13.29
Stock B: P/E= 30.65/2.92 = 10.50
Therefore, stock B would be better because it may be undervalued relative to the industry.
4.
Accounts receivable turnover = sales / accounts receivable.
Inventory turnover = cost of goods sold / inventory.
Total asset turnover = sales / total assets.
5.
When aggregate demand increases (decreases), unemployment decreases (increases)
6.
In
general, stocks perform
_____Better_____ when interest rates are
______low_____.
7.
An industry analysis is often necessary because a
firm's stock price is also susceptible to industry conditions. True
/ False
8.
Omega stock is currently selling at $
60 per share. For each of the following
situations, (ignoring any additional
costs), calculate the percentage gain or loss that Felix realizes if he makes a 300-share transaction.
a.
He short sells the stock and repurchases the borrowed shares at $65 per share.
b.
He buys the stock and sells the stock at $70 per share.
c.
He short sells the stock and repurchases the borrowed shares at $30 per share.
d.
He buys the stock and sells the stock at $55 per share.
Solution
a.
Margin required = 300*60*150% - 300*60 = $9,000
Gain/loss(%)
= (300($
60
-65)) / 9,000 = -16.67%
b.
Margin required = 300*60*150% - 300*60 = $9,000
Gain/loss(%)
= (300($70-
60
)) / 9,000 = 33.33%
c.
Gain/loss(%)
= (300($
60
-30)) / 9,000 = 100%
d.
Gain/loss(%)
= (300($55-
60
)) / 9,000 = -16.67%
9.
Balance Sheet for Polly Corporation (in millions)
Income Statement for Polly Corporation (in millions)
Assets
Revenue
$5,000
Cash and marketable securities
$175 Cost of goods sold
$2,200
Accounts receivable
$340
Gross profit $2,800
Inventories
$430 Operating expenses
$1,200
Net fixed assets
$600
Earnings before interest costs and taxes (EBIT)
$1600
Total assets
$1,545 Interest $75
Liabilities and Shareholders' Equity
Earnings before taxes $1525
Accounts payable
$350 Taxes
$250
Short-term debt $125
Earnings after taxes
$1275
Long-term debt
$325
Shareholders' equity
$745
Total liabilities and shareholders' equity
$1,545
The current ratio averages 2.5 in Polly's industry. Which of the following statements is true?
Solution
Current ratio
=
current assets
(cash
and marketable securities
+
accounts receivable
+
inventories) / current liabilities
(accounts
payable
+
short-term
debt
) = (175+340+430) / (340+125) = 2.0
A firm is considered liquid if their current ratio is more than the industry average. Polly
Corp.'s current ratio is
less than the industry average of 2.5
, so Polly is
not considered very liquid.
10.
Balance Sheet for Polly Corporation (in millions)
Income Statement for Polly Corporation (in millions)
Assets
Sales
$4,800
Cash and marketable securities
$175 Cost of goods sold
$2,700
Accounts receivable
$360
Gross profit $2,100
Inventories
$430 Operating expenses
$1,400
Net fixed assets
$800
Earnings before interest costs and taxes (EBIT)
$700
Total assets
$1,765 Interest $50
Liabilities and Shareholders' Equity
Earnings before taxes $650
Accounts payable
$375 Taxes
$250
Short-term debt $125
Earnings after taxes
$400
Long-term debt
$350
Shareholders' equity
$915
Total liabilities and shareholders' equity
$1,765
Two measure that can be used to determine Polly's financial leverage are the debt ratio and the times interest earned ratio.
- A firm with a high debt ratio relative to the similar companies in its industry has a high degree of financial
leverage and therefore may have a relatively high risk of default on its future debt payments. - A high times interest earned ratio means that the firm should be more capable of covering its debt payments than an average firm in its industry.
Debt ratio = total debts/total assets = (accounts payable + short term debt + long term debt) / (total assets)
= ($375+$125+$350)/$1,765 = 48.2% of Polly's assets are financed using debt.
Polly's times interest earned ratio = EBIT/interest payments
= $700/$50 = 14
11.
net profit margin = earnings after
taxes / sales
assets = earnings after
taxes / assets return on equity i= earnings after
taxes / equity
12.
A year
ago, Rebecca purchased 100 shares of Havad stock for $20 per share.
Yesterday, she placed
a limit order to sell her stock at a price of $25 per share before the market opened. The
stock's price opened at $23 and slowly increased to $26 in the middle of the
day, before declining to $22 by the end of the day. The stock did not pay any dividends over the period in which Rebecca held it. The limit order would have been executed because the stock price increased above the limit price.
Given
Rebecca's initial investment of $20 per
share, her return is ($25−$20
)/$20 ×100 = 25 percent.
13.
A year ago, Rebecca purchased 100 shares of Havad stock for $25 per share. Yesterday, she placed
a limit order to sell her stock at a price of $33 per share before the market opened. The stock's price
opened at $28 and slowly increased to $32 in the middle of the day, before declining to $27 by the end of the day. The stock did not pay any dividends over the period in which Rebecca held it. Part 1
The stock price did not reach $33. No sale would have occurred.
Part 2
Therefore, Rebecca would still own the stock, her return is 0 percent. 14.
Trey purchases 200 shares of Turner stock for $40 per share. Trey pays $4,000 in cash and borrows $4,000 from his broker at 15 percent interest to complete the purchase. One year later, Trey sells the stock for $50 per share. Part 2
Trey's return from selling the stock will be R
= ((
SP
+ D
)−(
BP
+ I
))/margin deposit per share,
Where:
SP
= selling price = $50 D
= dividends per share = $0 BP
= purchase price = $40 I
= interest paid per share on the loan = ((
$4,000
×
0.15) ÷ 200) = $3.00
Part 3
Margin deposit/share = $4,000 ÷ 200 = $20
Part 4
Trey's return if the stock paid no dividends during the year is R
= ((
$50 + $0)−(
$40 +
$3.00))/
$20 = 35.0%
15.
Trey purchases 200 shares of Turner stock for $50 per share. Trey pays $5,000 in cash to complete the purchase. One year later, Trey sells the stock for $60 per share. Part 2
Trey's return from selling the stock will be R
= ((
SP
+ D
)−(
BP
+ I
))/margin deposit per share
,
Where:
SP
= selling price = $60 D
= dividends per share = $0 BP
= purchase price = $50 I
= interest paid per share on the loan = $0
Margin deposit/share = $5,000÷200=
$25
Return computation: R
= ((
$60 + $0)−(
$50 + $0))/
$25 = 40.0 percent Chapter 12
1.
Bernie purchased 52 bonds with par values of $1000 each. The bonds carry a coupon rate of 6.8% payable semi-annually. How much money will Bernie receive for his first interest payment from these
bonds?
Solution
Total
Annual
Interest
Payment=Total
Par
Value × Coupon
Rate
= (52*1000) * 0.068 = $3536
Semi-annual interest Payment = $3536 / 2 = $1768
2.
Two bonds have par values of $1,000. Bond A is a 5 percent, 15
-year bond priced to yield 6.5 percent. Bond B is a 7 percent, 20-year bond priced to yield 6 percent. Which of these has the lower
price? (Assume annual compounding in both
cases.)
Solution
Bond A PMT= 1,000* 0.05 = $50
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Bond B
PMT= 1000*0.07 = $70
Therefore,
Bond A has the lower price.
3.
A bond that is priced in the market at $1,160 and has a coupon of 5.4 percent. Calculate the bond's current yield. Assume the bond has a par value of $1,000.
Solution
Bond current yield = Annual coupon payment / current market price
= (1000*0.054) / 1160 = 4.66%
4.
Assume that an investor is looking at two
bonds: Bond A is a $
1,000 20
-year, 9.5 percent bond that pays coupons
semi-annually. The bond is priced to yield
11 percent, compounded
semi-
annually. Bond B is a $1,000 20
-year, 8.5 percent bond that pays coupons annually. The bond is priced to yield 7.5 percent, compounded annually. Both bonds are callable after 5 years at a price
of $1,045.
a. Which bond has the higher current
yield?
b. Which bond has the higher yield to maturity
(YTM)?
c. Which bond has the higher yield to call
(YTC)?
Solution
a.
Bond A
PMT= $1000 * 9.5% * ½ = $47.5
N= 20 *2 = 40
(Note: semi-annually
) (Where: P/Y is payment per year, C/Y is the
compounding periods per year)
Current Yield = (1000*9.5%) /879.65 = 10.8%
Bond B
PMT= 1000*8.5% = $85
(Note: Annually
)
Current yield= (1000*85) / 1,101.94
= 7.71%
Notice that the current yield for Bond A is
greater than the current yield for Bond B.
b.
Since Bond A is priced to yield at 11 percent, the yield to maturity for Bond A is 11 percent.
Since Bond B is priced to yield at 7.5 percent, the yield to maturity for Bond B is 7.5 percent.
Notice that the yield to maturity for Bond A is greater than the yield to maturity for Bond B.
c.
Bond A
Bond B
5.
Bonnie paid $9,2000 for corporate bonds that have a par value of $1,000 and a coupon rate of 10.1 percent, payable quarterly. Bonnie received her first interest payment after holding the bonds for three months and then sold the bonds for $9,408. If Bonnie is in a 33 percent marginal tax bracket for federal income tax
purposes, what are the tax
consequences of her ownership and sale of the
bonds?
Solution
Taxable coupon payment ($10,000 × 0.101 × 0
.25) + Taxable capital gain ($9,408−$9,200
)×0.50
= Taxable income
($
356.5)
Taxable income ×0.33 = Tax on sale of bonds (117.65)
6.
Fran is evaluating ATT Ltd. bonds using the following
information: $30,000 par
value, maturity December
22 2023, , semi-annual coupon 7.5 percent, price $106.00
, and yield 7.15 percent. How much interest would this bond pay Fran on an annual
basis?
Solution
amount of interest = bond's par value / annual coupon rate = 30,000/7.5% = $2250
7.
Delia purchases a $9,500 real return bond that has a coupon of 3.5 percent with interest payable semi-annually. If inflation increases by 1.7 percent in the next six
months, what is the effect on the
bond's par value and
semi-annual coupon payment.
What is the effect on the
bond's par
value?
Solution
Bond inflated-Adjusted semi-annually.
Increase by 1.7% >>> $
9,500
+1.7
%
×
$
9,500
=
$9,662
3.5%/2 = 1.75%
Adjusted Value>>> 9,662*1.75% = 169.09
Original value >>> 9,500*1.75%= 166.25
Notice that the
inflation-adjusted semi-annual coupon payment is higher than the original
semi-
annual coupon payment of $ 169.09.
8.
Katie paid $9,100 for an Ontario Hydro bond with a par value of $10,000 and a coupon rate of 6.9
percent, compounded
semi-annually. Two years later Katie sold the bond for $9,325. What are her total tax consequences if she is in a 28 percent marginal tax
bracket?
Solution
Taxable coupon payment ($10,000 × 0.069×
2) + Taxable capital gain ($9,325−$9,100
)×0.50
= Taxable income
Taxable income ×0.33 = Tax on sale of bonds (417.9)
9.
Melissa purchases a
one-year $50,000 Government of Canada real return bond that has a coupon rate of 8 percent, payable
semi-annually. Inflation increases 3 percent over the next six months and then 2.5 percent in the following
six-month period.
Solution
Inflation-adjusted par value
= $50,000×
(1 + 0.03
) = 51500
1
st
coupon payment is calculated as:
Inflation-adjusted semi-annual coupon payment
=(Inflation-adjusted par value×
(0.08
/2)) = $2060
The par value of the bond at maturity is calculated as the initial
inflation-adjusted par value of $51,500 times
(1 +0.025
) = $52,788.
The final coupon payment is calculated as:
Inflation-adjusted semi-annual coupon payment
=(Inflation-adjusted par value×
(0.08
/2)) = $2111.52
10.
What is the annual yield on a $9,000
, 15
-year, 7.0% bond that makes annual coupon payments and was purchased at 107.5
? The bond has 11 years remaining until maturity.
Solution
The value of a bond today is $9,000×107.5 percent=
$9,675.
A coupon payment would be $9,000×8.5
%=
$765.
The annual yield on the bond is 7.48
%.
11.
Brady purchased a $24,000
, 10 percent bond
redeemable at par with
semi-annual coupon
payments. He purchased the bond 10 years
before maturity to yield 11 percent compounded
semi-annually. Six years after purchasing the
bond
(four years before
maturity), what would be
his selling price if the yield to maturity has not
changed?
Solution
PMT= 24000*10%* ½ = $1,200
N= 4*2 =8 12.
Risk Premium. Sandy has a choice between purchasing $5,000 in Government of Canada bonds paying 4.6 percent interest or purchasing $5,000 in
BB-rated corporate bonds with a coupon rate of 6.9 percent. Solution
Coupon rate on corporate bonds - Coupon rate on Government of Canada bonds = Risk premium
6.9-4.6= 2.3%
13.
Timothy has an opportunity to buy a $3,000 par value municipal bond with a coupon rate of 9 percent and a maturity of five years. The bond pays interest annually. If Timothy requires a return of 11 percent, what should he pay for the
bond?
Solution
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PMT = 3,000*0.09 = 270
14.
Mia wants to invest in Government of Canada bonds that have a par value of $20,000 and a coupon rate of 6.6 percent. The bonds have a 15
-year maturity, and Mia requires a 9 percent return. How much should Mia pay for her
bonds, assuming interest is paid
annually?
Solution
PMT= 20,000*6.6% = 1320 15.
Emma is considering purchasing bonds with a par value of $10,000. The bonds have an annual coupon rate of 8 percent and six years to maturity. The bonds are priced at $9,868. If Emma requires a 9 percent
return, she should buy these bonds if the price exceeds___
Pmt= 10,000 * 8% =800 16.
Mark has a Government of Canada bond that has a par value of $30,000 and a coupon rate of 7 percent. The bond has 20 years to maturity. Mark needs to sell the bond and new bonds are currently carrying coupon rates of 11 percent. At what price could Mark sell the
bond?
PMT
=
($30,000
×
0.07
)
=$2,100
. 17.
Mark has a Government of Canada bond that has a par value of $20,000 and a coupon rate of 12
percent. The bond has 10 years to maturity. Mark needs to sell the bond and new bonds are currently carrying coupon rates of 10 percent. What price can Mark expect to receive for the bond?
PMT
=($20,000
×
0.12)=$2,400. Chapter 13
1.
_____Open-end_____
mutual funds sell shares directly to investors and repurchase those shares whenever investors wish to sell them.
2.
The value of
_____Closed end____
fund is usually not measured by its net asset value
(NAV).
3.
The market value of securities and the current liabilities for a mutual fund are $483,550,000 and $18,000,000, respectively. What is the net asset value per share (NAVPS) for this mutual fund if there
are 30 million shares outstanding?
Solution
The net asset value per share (NAVPS) for this mutual fund is calculated using the following formula. NAVPS=Net Asset Value / Number of Shares Outstanding
= ($483,550,000−$18,000,000) / 30,000,000 = $15.52
4.
Calculate the net asset value per share (NAVPS) for a mutual fund with the following values.
Market value of securities in the portfolio
$1.5 billion
Liabilities of the fund
$35 million
Shares outstanding
55 million
NAVPS=Net Asset Value / Number of Shares Outstanding
= (1.5billion – 35million) / 55 million = $26.64
5.
Amount of Shares Purchased.
Hope invested $14,000 in a mutual fund at a time when the price per share was $20. The fund has a load fee of $400. How many shares did she purchase?
Number of Shares Purchased = (Investment−Load Fee) / Price per Share
= ($14,000 - $400) /$20 = 680 shares
6.
Amount of Shares Purchased
.
Hope had invested $14,000 in a
no-load fund with price per share of $20. How many shares could she have
purchased?
Number of Shares Purchased = Investment / Price per Share = 14,000 / 20 = 700 shares
7.
Estimating Returns.
Hope invested $14,000 in a mutual fund at a time when the price per share was $20. The fund has a load fee of $400. As a result, she purchased 680 shares in the mutual fund. Hope later sold her shares in the mutual fund for $28 per share. What would her return be? If it had been a no-load fund and she purchased 700 shares, what would her return be?
To calculate the return for the load
fund, use the following
formula:
Return Load = ((Number
of
Shares × Selling
Price) −Investment) / Investment×100
Return Load= ((680×$28) −$14,000) / $14,000 × 100=36.00%
Hope's return on the load fund would be 36.00
%
To calculate the return for the
no-load fund, use the following
formula:
Return No-Load= (Number
of
Shares × Selling
Price) −InvestmentInvestment×100
Return No-Load= (700×$28) −$14,000$14,000×100=40.00%
Hope's return on the
no-load fund would be 40.00
%
8.
Estimating Returns.
Hunter invested $10,500 in shares of a load mutual fund. The load of the fund
is 11%. When Hunter purchased the
shares, the NAV per share was $93. A year
later, Hunter sold
the shares at a NAV of $89 per share. What is
Hunter's return from selling his shares in the mutual fund?
Number of Shares Purchased = (Investment−Load Fee) / Price per Share
= 10,500(1-11%) / 93 =100 shares
Return = ((Number of shares * Selling price) – investment) / investment = (100*89)-10500) / 10,500 = -15.24%.
9.
Almost three years
ago, Forrest purchased shares in Numera Canadian Equity
Fund, a
back-end load mutual fund.
Forrest's investment is currently worth $35,000. He has decided that he would like to sell his shares. Using the declining redemption schedule (DSC) provided to determine the
back-
end load fee that Forrest will have to pay and how much he will receive after paying the fee.
NOTE: The amount of the fee is based on the value of the fund when it is redeemed.
Back-end load fee = fund value at redemption * 3
rd
year (DSC) = 35,000 *
4% = $1,400
Net proceeds = fund value at redemption – back-end load fee = 35,000 – 1,400 = 33,600
10.
Expense Ratio.
Mark owns a mutual fund with a NAV of $80.00 per share and expenses of $1.90
per share. What is the expense ratio for
Mark's mutual
fund?
To calculate the expense
ratio, use the following
formula:
Expense
Ratio= (Expenses
per
Share / NAV) × 100
Expense
Ratio= ($1.90 / $80.00) ×100=2.38%
The expense ratio for
Mark's mutual fund is 2.38
%.
11.
Rena purchased 300 shares of an equity mutual fund. During the year she received $5 per share in dividend
distributions, $3 in capital gain
distributions
, and capital gains of $1,200 when she sold the stock after owning it eight months. What are the tax consequences of
Rena's ownership of this equity fund? Rena is in a 29% marginal tax bracket.
Taxable Capital Gain = 50% of capital Gain = (300*3 + 1200) *0.5 = 1050
Tax on capital gain = 1050 * 29% = aprox. $305
Complete the table.
Eligible Dividends
(A) Income Earned
300*5 = $1,500
(B) Enhanced Dividend Gross-up (38% of A)
$570
(C) Taxable Income (A+B)
$2070
(D) Federal Tax Payable (
29% of C)
$600.3
(E) Enhanced Dividend Tax Credit (15.0198% of C)
$310.91
(F) Total Federal Tax Payable (D−E)
$289.39
The federal tax consequences of
Rena's ownership of this stock fund are 305 +289.39 = $593.89
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12.
Zenia invested in the
no-load Romaine Mutual Fund one year ago by purchasing 1,400 shares of the fund at a net asset value of $20 per share. The fund distributed $1.40 per share in dividends and $1.85 per share in capital gains. The net asset value of the fund today is $30 per share. What was her holding period return
(HPR)?
Solution The holding period return
(HPR) can be found used the following formula. Notice that the dividends and capital gains are income.
HPR= (ending
value−beginning
value
+income) / beginning
value
= ((30-20)+(1.85+1.40)) / 20 = 66.25%
13.
Zenia invested in the
no-load Romaine Mutual Fund one year ago by purchasing 1,500 shares of the fund at a net asset value of $20 per share. The fund distributed $1.45 per share in dividends and $2.15 per share in capital gains. The net asset value of the fund today is $30 per share. If Romaine Mutual Fund had a
front-end load charge of 3 percent, what would be the holding period return (HPR)? Assume the purchase price was $20 per share.
Beg. Value = $20*1.03 = $20.60
HPR= (ending
value−beginning
value
+income) / beginning
value
= ((30-20.60) + (2.15+1.45)) / 20.60 = 63.11%
14.
Which of the following is not a motive for investing in mutual
funds? A.
Investing in a broadly diversified portfolio with a small initial investment
B.
The expertise of the portfolio managers who decide how to invest the money you provide
C.
A mutual fund is designed to meet specific investment goals
D.
All of the above are motives for investing in mutual funds.
15.
The
_____________ is a document that provides financial information about a mutual fund.
a.
indenture
b.
debenture
c.
prospectus
d.
subordinated debenture
16.
All of the following are advantages of owning a mutual
fund, except:
A.
mutual funds simplify the process of record keeping because the mutual fund company will send you a statement on a regular basis.
B.
your investments reflect the decisions of experienced professionals who have access to the best research available.
C.
mutual funds are designed for sophisticated investors seeking shortterm capital gains only.
D.
you can invest in a broadly diversified portfolio with a small initial investment.
17.
Mutual
funds,
which sell units directly to investors and repurchase units from investors who want to
sell,
are
called: Open-end funds.
18.
Which of the following is true about
MERs?
A.
MERs only include manager and sales expenses.
B.
All types of mutual funds have similar MERs.
C.
You need to subtract the MER from the posted return to figure out performance.
D.
Mutual funds with lower MERs tend to outperform those with higher MERs.
19.
A mutual fund that aggressively seeks capital
growth:
A.
will have an MER similar to that of a fixedincome fund.
B.
will have an MER that is higher than a global fund.
C.
will have an MER that is approximately the same as a Tbill fund.
D.
will have an MER that reflects the increased costs of research.
20.
__
Open-end
_
mutual funds sell shares directly to investors and redeem those shares whenever investors wish to redeem them.
21.
'Since they engage in less trading than most other mutual
funds, they generate a limited amount of capital gains that must be distributed to
shareholders.' This statement refers to which of the following types of
funds?
A.
Growth funds
B.
Dividend funds
C.
Index funds
D.
Bond funds
22.
If Raymond does not want to pay any fees to invest in mutual
funds, he should
pick:
A.
Front-end load mutual funds.
B.
Back-end load mutual funds.
C.
Zero-fee mutual funds.
D.
No-load mutual funds
.
23.
If
Rebecca's mutual fund has a sales charge schedule saying that if the fund is sold within the first year, the sales charge is 6 percent and if it is sold in the third
year, the sales charge becomes 4.5 percent, Rebecca's mutual fund has
a:
A.
broker commission.
B.
low load.
C.
discount fee.
D.
declining redemption schedule.
24.
When you initially purchase a mutual
fund, a Fund Facts document must be provided to you within ___ of your purchase.
A.
48 hours
B.
24 hours
C.
seven days
D.
three business days
25.
In order to select appropriate mutual funds for
yourself, you should determine your investment objectives and evaluate your risk tolerance.
Then, the final step is
to:
A.
review and compare key information from the simplified prospectuses.
B.
review and compare key information from the relevant Fund Facts documents.
C.
consult a certified financial planner.
D.
open an account with a broker.
26.
A mutual fund that invests only in shares of gold mining companies would be called
a:
A.
sector fund.
B.
small cap fund.
C.
growth fund.
D.
Canadian equity fund.
27.
Given the following mutual fund price
quotation, determine which of the following statements most accurately reflects the data. ABC Health Care Fund has a net asset value per share of
$21.95. The net change in the NAVPS during the previous day was
+0.11. The fund has generated a return of −1.1 percent since the start of
the calendar year
.
28.
Your return from investing in
___ is primarily affected by
___.
A.
a Canadian equity
fund; Canadian interest rates
B.
a Canadian equity
fund; Canadian money markets
C.
an Australian bond
fund; Australian interest rates and the value of the Australian dollar
D.
a European equity
fund; European stock markets and the value of the Canadian dollar
29.
What is the most important difference between an index mutual fund and an exchange traded fund (ETF)? ETFs trade like stocks
30.
The potential benefits of investing in a segregated fund include all of the
following, except:
A.
segregated funds are more expensive than similar mutual funds.
B.
segregated funds offer a guarantee on your deposits when the policy owner dies.
C.
segregated fund contracts are normally exempt from seizure by creditors in the event that the policy owner declares bankruptcy.
D.
segregated funds offer a guarantee on your deposits when the contract matures.
31.
True
or
False? One disadvantage of mutual funds is that you could invest in a well-diversified mutual fund that is invested in a group of poorly performing companies rather than good ones.
32.
True or
False
? The NAVPS is determined by dividing the number of shares outstanding by the NAV.
33.
True
or
False? Unlike an open-end fund, shares of a closed-end fund are purchased and sold on stock exchanges.
34.
True
or
False? A declining redemption schedule is associated with a back-end load mutual fund.
35.
True or
False
? Recent studies on mutual funds have found that no-load funds outperform load funds on
average, even when ignoring the fees paid on a load fund.
36.
True
or
False? Mutual funds with relatively lower expenses tend to outperform other funds.
37.
True or
False
?
Index funds have become more popular because of very low transaction costs.
38.
True
or
False?
Exchange rate risk is the result of a decrease in the value of a foreign bond because the currency denominating the bond weakens against the Canadian dollar.
39.
True or
False
? Short-term bonds are more sensitive to changes in interest rates than long-term bonds.
40.
True
or
False? Equity mutual funds that have a lower expected return are also likely to have lower expected risk.
41.
True or
False
? The most important expense statistic mentioned in the Fund Facts document is the back-end load.
42.
True
or
False?
When investors want to assess the performance of a mutual
fund,
one technique is to compare the return on that mutual fund to the average return for the same type of mutual fund.
43.
True
or
False?
Diversification among bond funds is not an effective means of reducing exposure to interest rate risk.
44.
True or
False
?
Similar to a mutual
fund,
ETFs are purchased in real time.
45.
True or
False
? With respect to segregated
funds, the determination of the value of the death benefit guarantee is similar to that of the maturity guarantee.
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