FINAL FIN 3710 SHEET
docx
keyboard_arrow_up
School
Baruch College, CUNY *
*We aren’t endorsed by this school
Course
3610
Subject
Finance
Date
Jan 9, 2024
Type
docx
Pages
1
Uploaded by CoachDolphinPerson1012
A municipal bond issued by the state of California is currently yielding 5.75%. If you are in the 25%
tax bracket, what would be the equivalent taxable yield for this bond?
0.0575 / (1-0.25) *100 = R = 7.67%
If the face value of a T-bill is $10,000, T-bill has 120-day and quotes with a 4.60 ask and a 4.55 bid.
This T bill could sell for:
$10,000 * (1-5.61% * (120/360)) = 9,813.00
You invest $10,000 in a complete portfolio. The complete portfolio is composed of a risky asset with
an expected rate of return of 15% and a standard deviation of 21% and a treasury bill with a rate of
return of 5%. How much money should be invested in the risky asset to form a portfolio with an
expected return of 11%?
11% = (15% * R) + (5% * (1-R))
R=60%
0.6 * 10000 = 6000
The risk-free rate is 10%. The return on the risky portfolio is 15%. The standard deviation of return
on the risky portfolio is 20%. What is the expected return on the complete portfolio is if the
standard deviation on the complete portfolio is 25%.
0
.25 / 0.20 = 1.25
(1 - 1.25) * .10 + 1.25 *0.15 = 0.1625
0.1625 * 100 = 16.25
Your firm invested $2,504,600 in 350-day commercial paper today. At the end of the investment
period (in 350 days) the firm will receive $2,592,400. What is the 350-day holding period rate of
return on the investment?
The HPR equals (2,592,400 – 2,504,600) / 2,504,600 = 3.51%.
What is the APR?
(350/365*APR=3.51%)
APR=365/350*3.51%=3.66%
What is the effective annual rate (EAR)?
(1 + 0.035) ^365/350 - 1= 1.0366-1, EAR = 3.66%
David bought 250 shares of common stock on a margin of $25 per share. The stock does not pay
dividends and the initial margin is 65%. If Marie sells the stock at $32 per share, what would be her
rate of return?
(25*250) – (25*250*0.35) = 4062.5
((32-25)*250)/4062.5 = 43%
You are evaluating an investment with three potential outcomes:
Outcome A has a 40% probability
and yields a 12% return. Outcome B has a 30% probability and yields a 5% return. Outcome C has a
30% probability and yields a -2% return.
(0.40 * 0.12) + (0.30 * 0.05) + (0.30 * -0.02) =5.7%
Suppose you pay $9,800 for a $10,000 par Treasury bill maturing in 2 months. What is the annual
percentage rate of return for the investment?
($10,000 − $9,800)/$9,800 × 12/2 = 0.1224 = 12.24%
Your investment has a 20% chance of earning a 30% rate of return, a 50% chance of earning a 10%
rate of return, and a 30% chance of losing 6%. What is your expected return on this investment?
(20%*30%) + (50%*10%) – (30%*6%) = 9.2%
You short-sell 300 shares of Rock Creek Fly Fishing Company, now selling for $36 per share. If you
want to limit your loss to $3,630, you should place a stop-buy order at ___.
300 × $36 = $10,800
$3,630 = 300
P
− $10,800
$14,430 = 300
P
, so
P
= $48.10
A T-bill quote sheet has 90-day T-bill quotes with a 4.92 bid and a 4.86 ask. If the bill has a $10,000
face value, an investor could sell this bill for:
P0 = $10,000 × (1−0.0486 × 90360) = $9,878.50
You purchased 200 shares of ABC common stock on margin at $50 per share. Assume the initial
margin is 50% and the maintenance margin is 30%. You will get a margin call if the stock drops
below:
(200 × P − $5,000)/200 × P = 0.30, P=35.71
You purchased 600 shares of XYZ common stock on margin at $35 per share from a broker. If the
initial margin is 60%, the amount borrowed from the broker is:
600($35) (0.40) = $8,400
An investor puts up $5,000 but borrows an equal amount of money from his broker to double the
investment to $10,000. The broker charges 7% on the loan. The stock was originally purchased at
$25 per share, and in 1 year the investor sells the stock for $28. The investor's rate of return was?
Number of shares purchased: 10000/25=400
((28-25) * 400-0.07*5000)/5000=0.17
Stock X has an expected return of 12% and a beta of 1. Stock Y has expected return of 13%
and a beta of 1.5. The market return is 11% and riskfree rate is 5%. According to CAPM,
which is a better buy?
X: 5%+(11%-5%)*1=11%
Alpha X: 12%-11%=1%
Y: 5%+(11%-5%)*1.5=14%
Alpha Y: 13%-14%=-1%
If the expected market return is 12% and the estimated beta for Google is 1.23, then what is
the expected return of Google per CAMP model. The risk-free rate is 5%
Expected return = 5% + 1.23 * (12% - 5%) = 13.61%
According to the CAPM, what is the market risk premium given an expected return on a
security of 19.6%, a stock beta of 1.2, and a risk-free interest rate of 10%?
19.6% = 10% + 1.2 × (MRP); MRP = 8.00%
A pension fund manager is considering three mutual funds. The first is stock fund A, the second is
another stock fund B, and the third is a T-bill money market fund that yields a sure rate of 5%. The
correlation between the fund returns is 0.
Suppose now that your complete portfolio must yield an
expected return of 9% and be efficient, that is, on the best feasible CAL. The optimal risky portfolio
proportion for stock B is 70% of the risky optimal portfolio.
The probability distributions of the
risky funds are: (Fund A: (ER) = 10%; (SD) = 15%)
(Fund B: (ER) = 20%; (SD) = 25%)
Find the expected return of optimal risky portfolio
and standard deviation
of the whole portfolio:
Standard Deviation:
( (70% * 25% )^2 + (30% * 15%)^2 ) = 18%
Expected return of risky portfolio:
30%*10%+20%*70% =17%
Y of the risky portfolio: 9% =
Y * 17% + (1-Y) * 5%
Y = 33%
Standard deviation of the whole portfolio:
33% * 18% = 6%
.
Geometric average return
offers the most accurate reflection of the
true historical performance
for an
investment, considering reinvestment of dividends and interest. Dollar-weighted return
is best suited for
assessing specific portfolio’s performance
?
. How is the
S&P 500 Index
and the
Dow Jones
constructed? Market
capitalization-weighted
average of
500 large-cap stocks; Price-weighted average of
30 large industrial stocks
.
.
Short sale of a stock
: Max potential gain is limited
to initial investment; max potential loss is unlimited.
.
Security on margin:
Max potential gain is unlimited
, max potential loss is limited to initial investment.
.
Kurtosis
refers to the number of extreme returns in a distribution
in the context of investment returns
.
Standard Deviation
measures the risk or volatility of an investment
when applied to investment returns
. Adding additional
risky assets
to the investment opportunity set will generally move the efficient
frontier up and to the left.
.
Degree of risk aversion
will determine their optimal mix of the risk-free asset and risky asset
. How can we
determine the optimal risky portfolio
among investment choices: By locating the point
where the capital market line intersects with the efficient frontier. By tracing the line with the most
pronounced incline that connects the risk-free rate to the efficient frontier
. The
most representative example of systematic risk
is a nationwide economic recession leads to a
decline in consumer spending and affects multiple industries
. If enough
investors decide to purchase stocks
, they are likely to
drive up stock prices
, thereby causing
expected return to fall
and risk premiums to fall
.
. As you
extend the time horizon of your investment
and choose to invest over multiple years, you can
expect: The average risk per year may decrease over longer investment horizons. The overall risk of your
investment will accumulate and increase over time.
. To construct a
riskless portfolio using two risky stocks
, one would need to find two stocks with a
correlation coefficient of -1.0
. In a
well-diversified portfolio
, unsystematic
risk is
negligible
. According to the
capital asset pricing model
,
a security with
a positive alpha is considered underpriced
plot above the SML
. According to the
CAPM
,
investors are compensated
for all except the degree of diversification
.
.
Proponents of the EMH
think technical analysts are wasting their clients’ time
. In a market that is
semi-strong form efficient
: Stock prices incorporate all publicly available information,
such as news reports and financial statements
. Most people would
readily agree
that the stock market is not
strong-form efficient
. Stocks that
exhibit stability
over time suggest that the market has not yet factored in new information
. Which is not a method employed by
fundamental analysts
: Relative strength analysis
. According to
EMH
, what
investment approach is implied to investors:
A passive investment approach,
such as index investing or ETFs
. What are some key
characteristics of market efficiency
: There are no arbitrage opportunities
. Which of the following would
violate the efficient market
hypothesis: Investors earn abnormal returns
months after a firm announces surprise earnings
. In behavioral finance, the concept of
"loss aversion"
refers to: The tendency of investors to be more
concerned about losses than equivalent
. The behavioral finance concept of
"overconfidence bias"
suggests that individuals: Overestimate their
knowledge and abilities, leading to suboptimal investment choices
. Following a
period of falling prices
, the moving average will be above the current price
.
Conventional finance theory
assumes investors are rational
and behavioral finance assumes some
systematic irrationality
. In
prospect theory
within behavioral finance, the concept of
"diminishing marginal utility"
suggests
that: The utility of gains increases at a decreasing rate
. When the
market breaks through the moving average line
from below, a technical analyst would
probably suggest that it is a good time to buy the stock
.
"Relative strength,"
means that in the recent past a stock has outperformed the market index
. In a simple
CAPM world
: Investors choose to hold the market portfolio, includes all risky assets. Their
complete portfolio will vary depending on their risk aversion. Return per unit of risk will be identical for
all individual assets. Market portfolio will be on the efficient frontier, it will be the optimal risky portfolio.
A higher
Sharpe Ratio
indicates higher risk-adjusted returns in a portfolio
An investor who prefers safe low-risk bonds will have strong risk aversion in their portfolio choices
T-bill earns interest by
buying the bill at a discount from the face value to be received at maturity
Real assets
generate income to economy,
financial assets
define allocation of income to investors
Nominal interest rates
account for inflation, while
real interest rates
do not
The risk that can be diversified away is
Unsystematic Risk.
In
capital asset pricing model
, the systematic measure of risk is best captured by
beta
The graph of the relationship between expected return and beta in the CAPM is called the
SML
The
SML
is valid for
both well-diversified portfolios and individual assets
and the
o
CML
is valid for
well-diversified portfolios only
Choosing stocks by searching for predictable patterns in stock prices is called
technical analysis
Diversification is most effective when security returns are
Negatively Correlated
Conventional finance theory
assumes investors are
rational
, and
behavioral finance
assumes
some systematic
irrationality
Stock A has an expected rate of return of 14% and a beta of 1.3. The market expected rate of return is
9%, and the risk-free rate is 4%. The alpha of the stock is:
0.14 – (0.09 + 1.3 × (0.09−0.04)) = 0.035 = 3.5%
Using the CAPM formula, if an expected return on a security is 12.5%, the risk-free interest rate is 4%,
and the stock's beta is 1.2, the market return is:
12.5% = 4% + 1.2*(Erm-4%), Erm=11.08%
You short-sell 200 shares of Tuckerton Trading Company, now selling for $46 per share. What is your
maximum possible gain, ignoring transactions cost?
200 × ($46) − 200 × ($0) = 9,200
A stock quote indicates a stock price of $72 and a dividend yield of 3%. The latest quarterly dividend
received by stock investors must have been ______ per share.
($72 × 0.030)/4 = $0.54
A T-bill quote sheet has 90-day T-bill quotes with a 5.32 bid and a 5.26 ask. If the bill has a $10,000 face
value, an investor could sell this bill for:
$10,000 × [1−((0.0526×90)/360) ]= $9,868.50
Discover more documents: Sign up today!
Unlock a world of knowledge! Explore tailored content for a richer learning experience. Here's what you'll get:
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
Related Documents
Related Questions
Suppose that short-term municipal bonds currently offer yields of 4%, while comparable taxable bonds pay 5%. Required: Which gives you the higher after-tax yield if your combined tax bracket is: Higher After-Tax Yield a. Zero Municipal bond b. 10% Taxable bond c. 20% Municipal bond d. 30% Neither
arrow_forward
Short-term municipal bonds currently offer yields of 4%, while comparable taxable bonds pay 5%. Which gives you the higher after-tax yield if your tax bracket is:a. Zerob. 10%c. 20%d. 30%
arrow_forward
Suppose your marginal federal income tax rate is 25 percent.
1. What is your after-tax return from holding a one-year corporate bond with a yield of 5.25 percent? (1
pt)
2. What is your after-tax return from a holding a one-year municipal bond with a yield of 4 percent? (1 pt)
3. How would you decide which bond to hold? (Assume that Both bonds carry the same risk.) (1 pt)
arrow_forward
A 5-year corporate bond yields 10.70%. A 5-year municipal bond of equal risk yields 6.50%. Assume that the state tax rate is zero. At what federal tax rate are you indifferent between the two bonds? (Round your final answer to two decimal places.)
arrow_forward
The current yield on a municipal bons is 6%. What would the equivalent taxable yield of this bond to a taxpayer in a 35% tax bracket? Enter your answer as a decimal not percentage and round your answer to 4 decimal places
arrow_forward
An investor is comparing the following two bonds: a bond from ABC Corp which pays an interest rate of 9
percent per year and a municipal bond which pays an interest rate of 7.9 percent per year. The investor is in
the 15 percent tax bracket. Which bond will give the investor a higher after-tax interest rate and for which
reason? Question options:
The ABC bond because it pays a 9 percent interest rate, while the municipal bond only pays 7.9 percent.
The ABC bond because it pays an equivalent after-tax rate of 10.6 percent, while the municipal bond pays
out an equivalent after-tax rate of 9.3 percent.
The municipal bond because it pays an equivalent after-tax rate of 9.3 percent, while the ABC bond pays
out a 9 percent interest rate.
The municipal bond because it pays an equivalent after-tax rate of 7.9 percent, while the ABC bond pays
out an equivalent after-tax rate of 7.65 percent. None of the above is correct.
arrow_forward
An 8.4 percent coupon bond issued by the state of Indiana sells for $1,000. What coupon rate on a corporate bond selling at its $1,000 par value would produce the same after-tax return to the investor as the municipal bond if the investor is in:
a. the 15 percent marginal tax bracket?
b. the 25 percent marginal tax bracket?
c. the 35 percent marginal tax bracket?
arrow_forward
Municipal bonds are yielding 4.4 percent if they are insured and 4.7 percent if they are uninsured. Your marginal tax rate is 28 percent and the inflation rate is 1.645%. Your equivalent taxable yield on the insured bonds is _____ percent and on the uninsured bonds is _____ percent. How would your answers change if your marginal tax rate falls to 13.5% and the inflation rate increases to 2.0639%? What would happen to the YTM of the uninsured bond if negative news was announced resulting in a decline in its credit rating? What would happen to the YTM of the insured bond if it suddenly lost its insurance?
arrow_forward
A municipal bond carries a coupon rate of 4.25% and is trading at par. What would be the equivalent taxable yield of this bond to a taxpayer in a 35% combined tax bracket? (Round your answer to 2 decimal places.)
arrow_forward
a. Using the cost-of-debt approximation formula, determine the pre-tax cost for a bond that sells at $ 925 par value and that pays a coupon of $ 85 for 20 years. The flotation costs are $ 5 per bond. You will have to show the counts.
b. For the above case, calculate the cost of debt after taxes if the company's tax liability is 40%. You will have to show the counts.
arrow_forward
You pay $5600 for a municipal bond. When it matures after 15 years, you receive $11,000
The total return is ___%.
arrow_forward
Kelly Phillips, an investor who resides in Livingston NJ, has a marginal tax rate of 28%. If a NJ municipal bond has a coupon rate of 5.83% and a YTM of 5.53%, what is the equivalent pretax yield on a taxable bond?
a. 7.68%
b. 8.10%
c. 4.20%
d. 3.98%
e. 5.94%
arrow_forward
Find the equivalent taxable yield of a short-term municipal bond currently offering yields of 4% for tax brackets of (a) zero, (b) 10%, (c) 20%, and (d) 30%.
arrow_forward
A tax-free municipal bond provides a yield of 4.3%. What is the equivalent taxable bond given a 35% tax bracket?
4.3%
5.4%
6.6%
2.8%
arrow_forward
1. Consider the decision to purchase either a 5-year corporate bond or a 5-year municipal bond. The corporate bond is a 12% annual coupon bond with a par value of $1,000. It is currently yielding 5%. The municipal bond has an 8.5% annual coupon and a par value of $1,000. It is currently yielding 7%. Which of the two bonds would be more beneficial to you? Assume that your marginal tax rate is 35%.
2. Calculate the duration of a $1,000 6% coupon bond with three years to maturity. Assume that all market interest rates are 7%.
arrow_forward
Jake Baldwin is looking for a fixed-income investment. He is considering two bond issues:
a. A Treasury with a yield of 5.99%
b. An in-state municipal bond with a yield of 4.46%
Jake is in the 32% federal tax bracket and the 6% state tax bracket. Which bond would provide him with a higher tax-adjusted yield?
The taxable equivalent yield on the Treasury bond is. (Round to two decimal places.)
(...)
arrow_forward
SEE MORE QUESTIONS
Recommended textbooks for you

Essentials Of Investments
Finance
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Mcgraw-hill Education,



Foundations Of Finance
Finance
ISBN:9780134897264
Author:KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher:Pearson,

Fundamentals of Financial Management (MindTap Cou...
Finance
ISBN:9781337395250
Author:Eugene F. Brigham, Joel F. Houston
Publisher:Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i...
Finance
ISBN:9780077861759
Author:Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor
Publisher:McGraw-Hill Education
Related Questions
- Suppose that short-term municipal bonds currently offer yields of 4%, while comparable taxable bonds pay 5%. Required: Which gives you the higher after-tax yield if your combined tax bracket is: Higher After-Tax Yield a. Zero Municipal bond b. 10% Taxable bond c. 20% Municipal bond d. 30% Neitherarrow_forwardShort-term municipal bonds currently offer yields of 4%, while comparable taxable bonds pay 5%. Which gives you the higher after-tax yield if your tax bracket is:a. Zerob. 10%c. 20%d. 30%arrow_forwardSuppose your marginal federal income tax rate is 25 percent. 1. What is your after-tax return from holding a one-year corporate bond with a yield of 5.25 percent? (1 pt) 2. What is your after-tax return from a holding a one-year municipal bond with a yield of 4 percent? (1 pt) 3. How would you decide which bond to hold? (Assume that Both bonds carry the same risk.) (1 pt)arrow_forward
- A 5-year corporate bond yields 10.70%. A 5-year municipal bond of equal risk yields 6.50%. Assume that the state tax rate is zero. At what federal tax rate are you indifferent between the two bonds? (Round your final answer to two decimal places.)arrow_forwardThe current yield on a municipal bons is 6%. What would the equivalent taxable yield of this bond to a taxpayer in a 35% tax bracket? Enter your answer as a decimal not percentage and round your answer to 4 decimal placesarrow_forwardAn investor is comparing the following two bonds: a bond from ABC Corp which pays an interest rate of 9 percent per year and a municipal bond which pays an interest rate of 7.9 percent per year. The investor is in the 15 percent tax bracket. Which bond will give the investor a higher after-tax interest rate and for which reason? Question options: The ABC bond because it pays a 9 percent interest rate, while the municipal bond only pays 7.9 percent. The ABC bond because it pays an equivalent after-tax rate of 10.6 percent, while the municipal bond pays out an equivalent after-tax rate of 9.3 percent. The municipal bond because it pays an equivalent after-tax rate of 9.3 percent, while the ABC bond pays out a 9 percent interest rate. The municipal bond because it pays an equivalent after-tax rate of 7.9 percent, while the ABC bond pays out an equivalent after-tax rate of 7.65 percent. None of the above is correct.arrow_forward
- An 8.4 percent coupon bond issued by the state of Indiana sells for $1,000. What coupon rate on a corporate bond selling at its $1,000 par value would produce the same after-tax return to the investor as the municipal bond if the investor is in: a. the 15 percent marginal tax bracket? b. the 25 percent marginal tax bracket? c. the 35 percent marginal tax bracket?arrow_forwardMunicipal bonds are yielding 4.4 percent if they are insured and 4.7 percent if they are uninsured. Your marginal tax rate is 28 percent and the inflation rate is 1.645%. Your equivalent taxable yield on the insured bonds is _____ percent and on the uninsured bonds is _____ percent. How would your answers change if your marginal tax rate falls to 13.5% and the inflation rate increases to 2.0639%? What would happen to the YTM of the uninsured bond if negative news was announced resulting in a decline in its credit rating? What would happen to the YTM of the insured bond if it suddenly lost its insurance?arrow_forwardA municipal bond carries a coupon rate of 4.25% and is trading at par. What would be the equivalent taxable yield of this bond to a taxpayer in a 35% combined tax bracket? (Round your answer to 2 decimal places.)arrow_forward
- a. Using the cost-of-debt approximation formula, determine the pre-tax cost for a bond that sells at $ 925 par value and that pays a coupon of $ 85 for 20 years. The flotation costs are $ 5 per bond. You will have to show the counts. b. For the above case, calculate the cost of debt after taxes if the company's tax liability is 40%. You will have to show the counts.arrow_forwardYou pay $5600 for a municipal bond. When it matures after 15 years, you receive $11,000 The total return is ___%.arrow_forwardKelly Phillips, an investor who resides in Livingston NJ, has a marginal tax rate of 28%. If a NJ municipal bond has a coupon rate of 5.83% and a YTM of 5.53%, what is the equivalent pretax yield on a taxable bond? a. 7.68% b. 8.10% c. 4.20% d. 3.98% e. 5.94%arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Essentials Of InvestmentsFinanceISBN:9781260013924Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.Publisher:Mcgraw-hill Education,
- Foundations Of FinanceFinanceISBN:9780134897264Author:KEOWN, Arthur J., Martin, John D., PETTY, J. WilliamPublisher:Pearson,Fundamentals of Financial Management (MindTap Cou...FinanceISBN:9781337395250Author:Eugene F. Brigham, Joel F. HoustonPublisher:Cengage LearningCorporate Finance (The Mcgraw-hill/Irwin Series i...FinanceISBN:9780077861759Author:Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan ProfessorPublisher:McGraw-Hill Education

Essentials Of Investments
Finance
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Mcgraw-hill Education,



Foundations Of Finance
Finance
ISBN:9780134897264
Author:KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher:Pearson,

Fundamentals of Financial Management (MindTap Cou...
Finance
ISBN:9781337395250
Author:Eugene F. Brigham, Joel F. Houston
Publisher:Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i...
Finance
ISBN:9780077861759
Author:Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor
Publisher:McGraw-Hill Education