Suppose you have the following three zero-coupon bond (ZCB) available: a 1-year ZCB that costs $97, a 2-year ZCB that costs $95, and a 3-year ZCB that costs $92. Assume that the par values are $100.

a. What must the price of a 3-year coupon bond with at 8% coupon rate?
b. How would you make an arbitrage profit if the coupon bond was trading at $100?
c. How much arbitrage profit would you make per $100 of the 3-year coupon bond trade?

Answers

Answer 1

Answer:

Bond price = Par value / (1 + 1 year spot rate)1

$97 = $100 / (1 + 1 year spot rate)^1

(1 + 1 year spot rate)^1 = $100 / $97

(1 + 1 year spot rate) = 1.030928

1 year spot rate = 3.0928%

Bond price = Par value / (1 + 2 year spot rate)^2

$95 = $100 / (1 + 2 year spot rate)^2

(1 + 2 year spot rate)^2 = $100 / $95

(1 + 2 year spot rate)^2 = 1.052632

(1 + 2 year spot rate) = (1.052632)(1 / 2)

(1 + 2 year spot rate) = 1.025978

2 year spot rate = 2.5978%

Bond price = Par value / (1 + 3 year spot rate)^3

$92 = $100 / (1 + 3 year spot rate)^3

(1 + 3 year spot rate)^3 = $100 / $92

(1 + 3 year spot rate)^3 = 1.086957

(1 + 3 year spot rate) = (1.086957)(1 / 3)

(1 + 3 year spot rate) = 1.028184

3 year spot rate = 2.8184%

Coupon per period = (Coupon rate / No of coupon payments per year) * Par value

Coupon per period = (8% / 1) * $100

Coupon per period = $8

a) Bond price = Coupon / (1 + 1 year spot rate)^1 + Coupon / (1 + 2 year spot rate)^2 + (Coupon + Par value) / (1 + 3 year spot rate)^3

Bond price = $8 / (1 + 3.0928%)^1 + $8 / (1 + 2.5978%)^2 + ($8 + $100) / (1 + 2.8184%)^3

Bond price based on spot rates = $114.7199

b. Bond price based on spot rates is greater than traded bond price to exploit this arbitrage the following strategy must be implemented

The 3 year 8% coupon bond should be bought at $100.

Portfolio = -$100

1 year zero coupon bond with face value $8 must be sold

Portfolio = (Price of 1 year zero coupon bond / Face value) * Amount of Face value to be Sold

Portfolio = ($97 / $100) * $8

Portfolio = $7.76

2 year zero coupon bond with face value $8 must be sold

Portfolio = Price of 2 year zero coupon bond / Face value) * Amount of Face value to be Sold

Portfolio = ($95 / $100) * $8

Portfolio = $7.6

3 year zero coupon bond with face value $108 must be sold

Portfolio = Price of 3 year zero coupon bond / Face value) * Amount of Face value to be Sold

Portfolio = ($92 / $100) * $108

Portfolio = $99.36

Arbitrage profit = -$100 +  $7.76 + $7.6 + $99.36

Arbitrage profit = $14.72

c) Arbitrage profit = Bond price based on spot rates - Traded Bond price

Arbitrage profit = $114.72 - $100

Arbitrage profit = $14.72

Arbitrage profit would you make per $100 = $14.72


Related Questions

Assume the beta for the stock market in general is 1.0 and the beta for World-Wide Television Productions is 2.8. If the stock market increases in value by 5 percent, what is the expected increase in value for the World-Wide Productions stock?

Answers

Answer:

Stock increase = 14%

Explanation:

Market increase = 5%

Stock Beta = 2.8

Stock increase = Stock beta * Market Increase

Stock increase = 2.8*5%

Stock increase = 0.14

Stock increase = 14%

What is the expected return on a portfolio that has $100 invested in stock 1 with an expected return of 18.0% and $45 invested in stock 2 with an expected return of 12.0%? a) 16.1% b) 16.3% c) 16.5% d) 16.7%

Answers

Answer:

Portfolio r = 0.161379 or 16.1379% rounded off to 16.1%

Option a is the correct answer

Explanation:

The expected return of a portfolio is the function of the weighted average of the individual stocks' returns that form up the portfolio. To calculate the expected rate of return of a two stock portfolio, we use the following formula,

Portfolio r = wA * rA  +  wB * rB

Where,

w is the weight of each stockr is the return on each stock

Total investment in portfolio = 100 + 45 = 145

Portfolio r = 100/145 * 0.18  +  45/145 * 0.12

Portfolio r = 0.161379 or 16.1379% rounded off to 16.1%

Choose all items that are essential to prepare for
a job interview.
Make a list of questions you want to ask.
Notify your current employer.
Learn about the company.
Prepare to answer common interview
questions.
Consult with an attorney.

Answers

Answer:

A, C and D

Explanation:

Make a list of questions you want to ask,  learn about the company and prepare to answer common interview questions  are essential to prepare for a job interview. Hence, A, C and D are correct.

What is an interview?

An interview is a pre-arranged conversation in which one side asks questions and the other responds. In common parlance, the term "interview" refers to a private conversation between an interviewer and an interviewee.

Through questions, the interviewer hopes to elicit information from the interviewee. The person who responds to questions asked by an interviewer is known as the interviewee.

There are various steps involved in hiring new employees, including the interview process. The interview process often involves writing a job description, posting a job, scheduling interviews, doing phone interviews, performing in-person interviews, following up with candidates, and hiring.

Thus, A, C and D are correct.

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A firm has a tax burden ratio of 0.8, a leverage ratio of 1.35, an interest burden of 0.8, and a return on sales of 12%. The firm generates $2.60 in sales per dollar of assets. What is the firm's ROE?

Answers

Answer:

28.64%

Explanation:

ROE = Tax burden * Interest burden * Margin * Turnover * Leverage

ROE = 0.85*0.8*0.12*2.60*1.35

ROE = 0.286416

ROE = 28.64%

Your opinion is that Boeing has an expected rate of return of 0.08. It has a beta of 0.92. The risk-free rate is 0.04 and the market expected rate of return is 0.10. According to the Capital Asset Pricing Model, this security is:______A. underpriced.
B. overpriced.C. fairly priced.D. Cannot be determined from data provided.

Answers

Answer:

As the required rate of return of the security (9.52%) is more than the expected rate of return (8%), the security or stock is overpriced.

Option b is the correct answer.

Explanation:

A security is underpriced when the required rate of return of the security is less than the expected rate of return and vice versa.

Using the CAPM, we can calculate the required rate of return on a stock. This is the minimum return required by the investors to invest in a stock based on its systematic risk, the market's risk premium and the risk free rate.  

The formula for required rate of return under CAPM is,

r = rRF + Beta * (rM - rRF)

Where,

rRF is the risk free rate rM is the market return

r = 0.04 + 0.92 * (0.1 - 0.04)

r = 0.0952 or 9.52%

As the required rate of return of the security (9.52%) is more than the expected rate of return (8%), the security or stock is overpriced.

This morning, Mary bought a ten-year, $1000 par value bond with a 7.0% coupon rate and annual payments. She paid $994 for the bond. If the market interest rate on this type of bond decreases to 6.5% tonight, how much will Mary receive for her first coupon payment?a. $32.50.b. $35.00.c. $65.00.d. $69.58.e. $70.00.

Answers

Answer:

e. $70.00

Explanation:

The coupon payment is the amount received by the bondholder on a periodic basis during the life of the bond which is based on the bond's face value which in this case is $1000

Note that the coupon payments are expected to be made once a year.

Coupon payment=bond face value*coupon rate

bond face value=$1000

coupon rate=7%

annual coupon payment=$1000*7%

annua coupon payment=$70.00

When there is public dissaving, the supply of loanable funds shifts to _________, and the real interest rate (r) __________.a) right; increasesb) left; increases.c) left; decreasesd) right; decreases

Answers

Answer:  b) left; increases.

Explanation:

When there is public dissaving, the supply of loanable funds shifts to the left, and the real interest rate (r) increases.

Loanable funds are made available by people depositing their money for saving in the bank. If people therefore reduce their saving, the supply of loanable funds will reduce and the curve will therefore shift left.

As a result of this left shift/ reduction in supply, interest rates will have to increase to reflect the relative scarcity of the loanable funds.

An example of a monopoly would be: __________

a. the local electric utility.
b. one of the few U.S.
c. auto makers.
d. Verizon cell phone service.
e. Burger King one of many U.S. grain producers.

Answers

Answer: a. the local electric utility.

Explanation:

A monopoly is a firm that is the only supplier in its market/ industry in an area. Electric utility companies are usually the only ones offering electricity in their areas so this is a monopoly.

One of a few U.S. ... is not a monopoly as there are a few of them. Auto makers do not have a monopoly as there are several of them as well such as Ford and General Motors. The Cell Phone service market has other providers apart from Verizon and Burger King is definitely not a monopoly.

Agency employees interact with Taco Bell employees across job types because they need knowledge about the products and plans, increasing their:________

a. boundary spanning.
b. hierarchical sensitivity.
c. decision informity.
d. staff validity.
e. task validity.

Answers

Answer:

c. decision informity.

Explanation:

Since in the question it is mentioned that there is a interaction of Agency employees with the employees of Taco bell for different types of job as they need the knowledge regarding the product and plans that increased the decision informity

As if you have great knowledge and information so you are able to take the right decision i.e. ultimately good for a company

Therefore the option c is correct

You purchased 1,350 shares of stock in Natural Chicken Wings, Inc., at a price of $43.58 per share. Since you purchased the stock, you have received dividends of $1.09 per share. Today, you sold your stock at a price of $47.76 per share. What was your total percentage return on this investment?A. 10.84%B. 12.09%C. 13.76%D. 9.59%E. 12.90%

Answers

Answer:

B. 12.09%

Explanation:

Calculation for the total percentage return on this investment

Investment total percentage return= ($47.76 per share -$43.58 per share+$1.09 per share/$43.58) × 100

Investment total percentage return= $5.27/$43.58 × 100

Investment total percentage return= 0.1209× 100

Investment total percentage return= 12.09%

Therefore the total percentage return on this investment will be 12.09%

One-year Treasury bills currently earn 3.25%. You expect that one year from now, 1-year Treasury bill rates will increase to 3.45%. The liquidity premium on 2-year securities is 0.06%. If the liquidity premium theory is correct, what should the current rate be on 2-year Treasury securities?

Answers

Answer:

the current rate be on 2-year Treasury securities is 3.38%

Explanation:

The computation of the current rate on the 2-year treasury securities is shown below:

= {(1 + current interest rate) × (1 + increased current interest rate + liquidity premium)^(1 ÷ 2)} - 1

= {(1 + 3.25%) × (1 + 3.45% + 0.06%)^(1 ÷ 2)} - 1

= (1.0325 × 1.0351)^(1 ÷ 2)} - 1

= 3.38%

Hence, the current rate be on 2-year Treasury securities is 3.38%

Calculate unemployment rate if adult population of the nation is 800 people of which 450 people are working and 30 are looking for working.

Answers

Answer:

6.25%

Explanation:

We can calculate the unemployment rate by dividing the unemployed people by the total labor force

Total labor force = Working people + People looking for work

Total labor force = 450 + 30

Total labor force = 480

Unemplyed people = 30

Unemployment rate = 30/ 480

Unemployment rate = 0.0625 OR 6.25%

Sally Smythe enters into a partnership by contributing the following:

Cash $14,200
Accounts Receivable $3,700
Machinery which cost $2,200
Fair market value $1,325
Accounts payable $2,100.

What amount will be recorded in her capital account?

Answers

Answer:

$17,125

Explanation:

Sally's capital should include all the assets that she contributes to the partnership minus the liabilities. Contributions to partnerships must be recorded at fair market value.

Sally's capital account = cash + accounts receivable + FMV of machinery - accounts payable = $14,200 + $3,700 + $1,325 - $2,100 = $17,125

A simple random sample of 700 individuals provides 200 Yes responses. a. What is the point estimate of the proportion of the population that would provide Yes responses (to 2 decimals)? b. What is your estimate of the standard error of the proportion (to 4 decimals)? c. Compute the 95% confidence interval for the population proportion (to 4 decimals).

Answers

Answer and Explanation:

A. The point estimate of individuals that would provide yes responses is the sample proportion. The sample proportion is calculated by dividing number of yes responses by sample size:

p = x/n = 200/700= 0.2857

B. The standard error of the population is the square root of the product of the point estimate and it's complement divided by the sample size given by

√p(1-p)/n

=√0.2857(1-0.2857)/700= 0.0170

C. For confidence level 95%, z score is calculated 1-0.95= 0.05/2= 0.025

Z score checked under the table = 1.96

Boundaries=

P-1.96 *standard error and p+1.96 *standard error

= 0.2857-1.96*0.0170= -0.25238

=0.2857+1.96*0.0170= 0.31902

Note : BODMAS demands we multiply first in the above calculation before subtraction or addition.

_____ is defined as the process a company employs to externally search for and source research, new technologies, and products.

Answers

Answer:

Open innovation.

Explanation:

Open innovation can be defined as the process a company employs to externally search for and source research, new technologies, and products.

This ultimately implies that, open innovation avails business firms or companies that ability to make use of inflow and outflow of knowledge, ideas and skills to help facilitate or enhance innovation within the company, as well as expand or increase the global market for external applications of innovative technologies or knowledge.

If the current price of a stock is P=40, its β=1.25, and the expected rate of return of the market portfolio is r¯M=0.13, what does CAPM predict for the price of the stock in a year? Use rf=0.05 as the risk-free rate.

Answers

Answer:

im sorry

Explanation:

Grady exchanges qualified property, basis of $21,833 and fair market value of $26,200, for 60% of the stock of Eadie Corporation. The other 40% of the stock is owned by Pedro, who acquired it five years ago. Calculate Grady's current income, gain, or loss and the basis he takes in his shares of Eadie stock as a result of this transaction.

Answers

Answer:

$26,200

Explanation:

Current gain = Fair market value of the property - Basis of qualified property = $26,200 - $21,833 = $4367. Thus, the amount of Grady current gain is $4,367

We now determine the basis that Gredy takes for the share of Eadie stock

Basis = Original basis of qualified property + Current gain

Basis = $21,833 + $4,367

Basis = $26,200

Thus,  basis that Gredy takes for the share of Eadie stock is $26,200

Honolulu, Inc. sells its product for $22 per unit. Variable costs are $8 per unit, and fixed costs are $6,000 per month. If the firm expects to sell 2,000 units next month, what is its margin of safety in dollars of sales revenue?A $34,562.B. $12.571.C. $1.571.D 56,000.

Answers

Answer:

the correct option is A. $34,562

Explanation:

The computation of the margin of safety in sales dollars is shown below:

As we know that

Margin of safety = Actual sales - break even sales

where,

Actual sales units is 2,000

And, the break even sales is

= Fixed cost ÷ contribution margin per unit

= $6,000 ÷ ($22 - $8)

= $6,000 ÷ $14

= 429

Now margin of safety in dollars is

= (2,000 - 429) × $22

= $34,562

Hence, the correct option is A. $34,562

Suppose price decreases from $27.00 to 513.00. Using the mid-point formula, the percentage change in price is:_________ a) 0.7 - 70 percent b) 14 percent c) -0.7 - 70 percent. d) -0.35 -- 35 percent.

Answers

Answer: c) -0.7 - 70 percent.

Explanation:

Using the midpoint formula, the change will be;

[tex]= \frac{P_{2} - P_{1} }{\frac{P_{2} + P_{1}}{2} } \\\\= \frac{13 - 27 }{\frac{13 + 27}{2} }\\\\= -0.7[/tex]

= -70%

1. Put the 5 steps of the communication process in order.


The Communicator encodes the their idea.


The Receiver Decodes the Message


The Communicator has an Idea.


The Communicator selects a channel for the message and sends it.


The receiver issues feedback and becomes the communicator.






2. Put the 3x3 Writing Process in order.


Analyze audience and purpose


Anticipate the audience and its reaction


Edit for Clarity


Proofread for errors


Draft first version of the message


Evaluate whether your message accomplishes its goal.


Organize information


Adapt message to audience


Research background information

Answers

Answer and Explanation:

The sequencing of the five steps in the communication process is as follows:

a. The communicator or the sender has an idea

b. After that he or she encodes that idea

c. Now the sender or communicator chooses the channel for the message and after selecting it they send it

d. After that the receiver decodes the message

e. And finally the received gives his or her feedback and he becomes the sender or communicator

Use the following bond quotation:Issuer Symbol Callable Coupon Maturity Rating Price YieldWalmart WMT.IM No 4.875 7/8/2040 Aa2 111.44 4.06What is the yield to maturity? Enter your answer as a decimal.If the bond has a face value of $1,000, how much does it currently cost (in $, and ignoring accrued interest)?

Answers

Answer:

Ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok

Raleigh Co. has the following products in its ending inventory. Compute the lower of cost or market total for inventory applied separately to each product. Product Quantity Cost per unit Market per unit Jelly 150 $2.00 2.15 Jam 370 $2.65 2.50 Marmalade 260 $3.10 3.05 a. $2,040.50. b. $2,086.50. c. $2,018.00. d. $2,109.00. e. $2,053.50.

Answers

Answer:

c. $2,018.00

Explanation:

Lower of cost or market is the inventory valuation method which requires to record the inventory at a value lower of

Initial cost of inventory ( Manufacturing cost or Purchasing cost )Market value of the Inventory ( Net realizable value of the market )

Product__Quantity__Cost per unit__Market per unit___ Lower ____Value

Jelly _____150 ______$2.00 ______2.15___________ $2.00____ $300

Jam _____ 370 _____ $2.65 ______2.50 __________ $2.50 ____ $925

Marmalade 260 _____ $3.10 ______3.05  __________ $3.05 ____ $793

Total Value ___________________________________________$2,018

Frederico owns a coffee shop and is required to pay sales taxes on the total amount he earns in his coffee shop. Who assessed this tax?

A. Consumer court
B.coffee suppliers
C. Local government
D. Banks

Answers

The answer is C, it is because they are the one who assess taxes.

Answer:

Local Government

Explanation:

They are the ones that assess your taxes

Which of these best describes income tax?

regressive tax
indirect tax
direct tax
proportional tax

Answers

The income tax is a tribute or is a direct tax to the authorities that taxes the utility or income obtained by the taxpayers.

What is income tax?

It is a direct tax charge that is applied to the income, profit or benefit obtained by individuals, companies and undivided successions, in a fiscal period.

It is a direct tax because it is a direct or immediate manifestation of economic capacity, which varies according to one citizen or another, that is, according to the income obtained by each individual in a given year.

Therefore, we can conclude that the income tax is a tribute or is a direct tax to the authorities that taxes the utility or income obtained by the taxpayers.

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Indirect tax best describes income tax. The word "income tax" refers to a category of tax that governments levy on income generated by enterprises and people under their authority. Thus, option B is correct.

What is income tax?

Taxpayers are required by law to file an income tax return each year in order to establish their tax liabilities. Governments receive funding from income taxes. They are used to pay for debts owed to the government, fund public services, and supply residents with goods.

Many states and local governments impose income taxes in addition to the federal government. Some investments, such as bonds issued by housing authorities, are exempt from income taxes. A sort of tax that governments levy on the income produced by people and enterprises under their control is called income tax. Government duties, public services, and citizen goods are all paid for through income tax revenue.

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You Save Bank has a unique account. If you deposit $6,500 today, the bank will pay you an annual interest rate of 5 percent for 5 years, 5.6 percent for 4 years, and 6.3 percent for 8 years. How much will you have in your account in 17 years?

a. $15,952.43
b. $14,898.12
c. $16,818.28
d. $12,314.58
e. $13,171.90

Answers

C. Good luck

You need to use the interest formula using the annual interest and the initial payment

Martinez Corporation reported net sales of $773,000, net income of $134,000, and total assets of $7,714,260. The profit margin is:_____

a. 577.0%
b. 5.77%
c. 82.66%
d. 1.73%
e. 17.34%

Answers

Answer:e. 17.34%

Explanation:

Profit margin  shows how the activities of a firm or business activity are profitable by taking into accounts  costs involved in producing and selling goods.

 it can be calculate in three ways using the  Gross profit margin formulae, Net Profit Margin formulae or the Operating margin formulae

Given

net sales = $773,000

net income = $134,000

Total assets of $7,714,260

We will use the Operating margin formulae which is the ratio of the Operating income to Revenue  multiplied by 100

Profit margin =Operating income ( Net Income )/Revenue ( Net Sales)  x 100

Profit margin = $134,000/$773,000  x 100

=0.173 x 100

=17.335  rounded to 1`7.34%

You work as a tutor for ECON 102. You sell your services at $20/hr., and you can only tutor one person at a time. Suppose you currently have 5 clients. If it cost you on average $14/hr to tutor the first student, in order to increase profits you should. a. We need more information to answer b. Find more clients c. Lower the price d. Get rid of some clients e. Continue to see the same number of clients

Answers

Answer:

a. We need more information to answer

Explanation:

In order to correctly answer his question we need more information. Economy is all about the margin, i.e. marginal revenue versus marginal cost. We are given the marginal revenue ($20/hr of tutoring services) but we are not given the marginal costs of tutoring. We only know that the cost of tutoring the first hour is $14, but what about the rest of the hours. Since you have 5 clients, you must be tutoring more than 1 hour per day. It is always easier to determine the marginal revenue since we determine it, while we cannot determine which costs we would like to incur.

Profits should be maximized when marginal revenue = marginal cost, but unless we know the marginal cost of tutoring the rest of the students we simply cannot answer this question.

The separation of the ownership of the firm from the control of the firm leads to: ____________

a. debt financing.
b. an agency problem.
c. depreciation.
d. equity financing.

Answers

Answer:

D. Equity financing

Explanation:

Hope this helps!

In every price negotiation, there is (select one):A. a ZOPA.B. a BATNA.C. a reservation price.D. all of the above.E. two of the above.F. none of the above.

Answers

Answer: D. all of the above

Explanation:

In price negotiations, the parties must have a  Zone Of Possible Agreement (ZOPA) which is a term used to describe the range in which both parties find common ground and can strike an agreement in.

There must also be a Best Alternative To a Negotiated Agreement(BATNA) which is the course of action that a party can take should negotiations with the other party break down. This BATNA will be the most advantageous alternative outside of a good deal being reached.

Then there must be a reservation price which is a price at which both parties can go no further. For the seller it is the lowest price they are willing to sell and for the buyer it is the highest they are willing to buy.

All the options are therefore in every price negotiation.

Can anyone help? please

Answers

Answer:

Question 1

Individuals with higher education levels have less propensity to commit crime for many reasons.

First of all, they are higher-skilled individuals, which means that demand for their labor is higher, because they are more desirable to employees. This means that they are likely to earn incomes high enough to avoid committing crime as a form of economic survival.

Question 2

Many people have put in question the idea of going to college these days, and there are valid points to this. For example, it is true that going to college represents important opportunity costs: not being able to work full-time while attending classes, and forgoing that salary, and also the costs associated with the student debt.

However, statistics show that college-graduates earn significantly more than non-college educated people, meaning that the benefits of college education will be lower than the benefits as long as the time preference of the students is long-term enough.

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