Answer:
Annual depreciation= $25,375
Explanation:
Giving the following information:
Purchase price= $109,200
Salvage value= $4,200
Useful life in miles= 120,000
To calculate the depreciation expense, we need to use the units-of-activity method:
Annual depreciation= [(original cost - salvage value)/useful life of production in miles]*miles operated
2018:
Annual depreciation= [(109,200 - 4,200) / 120,000]*29,000
Annual depreciation= 0.875*29,000
Annual depreciation= $25,375
There are historically three 32-month periods of generally rising prices in the stock market for every one 9-month period of falling prices. This observation leads you to conclude that the stock market exhibits a: random pattern. trend pattern seasonal pattern. cyclical pattern.
Answer:
cyclical pattern
Explanation:
In the given situation, it is mentioned that the data represent an upward trend and it shows an downward trend for exact 32 months and 9 months so here we can say that the data should be of cyclical in nature
So as per the given situation, it is the cyclical pattern
Therefore the same to be considered and relevant
Which of these are considered both short- and long-term investments? Select four options.
CDs
stocks
savings accounts
mutual funds
bonds
commodities
Edge answers please
Answer:
CDs
Stocks
Mutual funds
Commodities
Explanation:
:)
'Investments' are defined as the 'process of allocating money having an aim of receiving a profit.'
The items that can be considered as both the short, as well as, long-term investments would be:
A). CDs
B). Stocks
C). Mutual funds
E). Commodities
A CD or Certificate of Deposit(CD) is characterized as both the 'short, as well as, long-term' investment because it provides interest and offers a lump-sum on its maturity. Stocks are also such an investment as it offers both intra-day trade and long-term holding options as well. Mutual funds are also a good option for generating both regular incomes in the short-term and big capital gain over a time period. Commodities like gold, crude oil, etc. also offer such an option as it is the item whose price keeps growing and thereby providing an opportunity to earn.Thus, options A, B, C, and E are the correct answers.
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Logan Company can sell all of the standard and premier products they can produce, but it has limited production capacity. It can produce 6 standard units per hour or 5 premier units per hour, and it has 39,000 production hours available. Contribution margin per unit is $21 for the standard product and $25 for the premier product. What is the most profitable sales mix for Logan Company
Answer:
234,000 standard units
Explanation:
Standard unit Premier unit
Contribution margin per unit $25 $21
Production hour per unit 1/6 1/5
Contribution margin per production hour $150 $105
Contribution margin per production hour is higher for standard units, hence Logan company should produce standard units.
Total production hours available = 39,000
Production per hour of standard unit = 6
Maximum production of standard units = Total production hours available * Production per hour of standard unit
Maximum production of standard units = 39,000 * 6
Maximum production of standard units = 234,000
John Company could buy a machine that costs $72,000. It is estimated that it earn nothing until year five, then earn $150,000 in year 5. If the discount figures are .567 for cash received at the end of five years and 3.605 for payments received every year for five years, what is the net present value for this machine
Answer:
$13,050
Explanation:
Net present value is a method of capital budgeting.
Net present value is the present value of after-tax cash flows from an investment less the amount invested.
Net present value = (cash flow in year 5 x year 5 discount rate) - Initial Investment
($150,000 x 0.567) - $72,000
85,050 - $72,000 = $13,050
Fixed costs are $1500000 and the variable costs are 75% of the unit selling price. What is the break-even point in dollars?
Answer:
$6,000,000
Explanation:
Calculation to determine the break-even point in dollars
Using this formula
Break-even point (Dollars)=Fixed costs/(1-Variable costs percentage of unit selling price)
Let plug in the formula
Break-even point (Dollars)=$1,500,000/ (1-.75)
Break-even point (Dollars)=$1,500,000/.25
Break-even point (Dollars)=$6,000,000
Therefore the break-even point in dollars is $6,000,000
"Night Shades Inc. (NSI) manufactures biotech sunglasses. The variable materials cost is $1.12 per unit, and the variable labor cost is $1.9 per unit. a. What is the variable cost per unit? b. Suppose the company incurs fixed costs of $420,000 during a year in which total production is 189,000 units. What are the total costs for the year? c. If the selling price is $8.55 per unit, what is the NSI break-even on a cash basis? d. If depreciation is $94,500 per year, what is the accounting break-even point?"
Answer:
Night Shades Inc. (NSI)
a. The variable cost per unit is:
= $3.02.
b. The total costs for the year is:
= $990,780.
c. The NSI break-even on a cash basis is:
= $503,091.
d. The accounting break-even point is:
= $647,150.
Explanation:
a) Data and Calculations:
Variable costs per unit:
Materials = $1.12
Labor = 1.90
Total = $3.02
Total production units = 189,000
Total variable costs = $570,780
Fixed costs = $420,000
Total costs = $990,780
Per unit:
Selling price = $8.55
Variable costs 3.02
Contribution $5.53
Contribution margin in percentage = $5.53/$8.55 * 100 = 64.7%
Fixed costs on cash basis = FC - Depreciation = $325,500 ($420,000 - $94,500)
Break-even point on a cash basis = $325,5000/0.647 = $503,091
Break-even point in sales dollars = $420,000/0.647 = $647,150
Decentralizing Group of answer choices Is a trend that creates a head-quarter office Organizes business in independent business units Creates a more complex and less robust organization Decisions are made at the headquarters
The Beranek Company, whose stock price is now $30, needs to raise $13 million in common stock. Underwriters have informed the firm's management that they must price the new issue to the public at $25 per share because of signaling effects. The underwriters' compensation will be 6% of the issue price, so Beranek will net $23.50 per share. The firm will also incur expenses in the amount of $165,000. How many shares must the firm sell to net $13 million after underwriting and flotation expenses
Answer:
858,085 shares must be sold
Explanation:
Net amount to be raised $ 13,000,000
Add: floatation expenses 165,000
Amount to be available after
payment of underwriting compensation 20,165,000
No of shares to be issued at 23.50 $ = 20,165,000/23.50 = shares, rounded off to 858,085 shares.
858,085 shares must be sold
REMAX, a real estate company in Houston, performed an analysis of 500 Houston homes they sold last year. Each home was categorized by initial asking price and number of days the home was listed before it sold. Reference Equations Number of Homes: Initial Asking Priceless or equal than$200,000 Initial Asking Price> $200,000 Total Days Listed Until Sold less or equal than30 125 95 220 Days Listed Until Sold >30 115 165 280 Total 240 260 500 Find P(price > $200,000 and sold less or equal than 30 days). a. 0.3654 b. 0.1900 c. 0.2288 d. 0.4318
Answer: 0.1900
Explanation:
To find P(price > $200,000 and sold less or equal than 30 days), we have to look at the reference equation table and then look out for the point whereby price is greater than $200000 and sold less or equal than 30 days.
Based on the information given, this will be at a point where we've 95. Since the overall possible outcome is 500, then P(price > $200,000 and sold less or equal than 30 days) will be:
= 95/500
= 0.1900
The correct option is B.
_____________ planning focuses on delivering products or services to consumers as well as warehousing, delivering, invoicing, and payment collection.
Answer:
Distribution
Explanation:
Distribution is one of the phases in production. It is often said that production is not complete until goods and services gets to the final consumers. Distribution planning entails getting the goods produced to consumers as well as warehousing them. It also entails delivery, invoicing and payment collections.
As the last chain in production processes, distribution planning makes goods and services produced gets to the final consumes whilst also taking care of the logistics involved and payment collections.
Antony Johnson works in the human resources department of a small wholesale company. His boss has delegated to Johnson the job of finding a replacement for the company's shipping dock supervisor who has recently retired. Johnson will have total responsibility for filling this position. Johnson will be:
Answer:
made accountable
Explanation:
In an organisation when total responsibility is placed on a staff for a particular task, he is accountable for the outcome.
In the given scenario his boss has delegated to Johnson the job of finding a replacement for the company's shipping dock supervisor who has recently retired.
Johnson will need to find a person that meet the technical and moral standards that the job requires.
Johnson will be held accountable for the performance of the replacement staff.
Assume a portfolio is worth $70,000, consisting of X, Y, and cash. Also assume you invested $35,000 in X, $14,000 in Y and the rest in cash, and that X and Y have betas of 1.45 and 0.80 respectively. Calculate the portfolio beta. (Provide numerical answer to 3 decimal places.)
Answer:
0.885
Explanation:
Beta measures systemic risk. The higher beta is, the higher the systemic risk and the higher the compensation demanded for by investors
The portfolio's beta can be determined by adding together the weighted beta of each stock in the portfolio
weighed beta of a stock = percentage of the stock in the portfolio x beta of the stock
Percentage of x = $35,000 / 70,000 = 0.5 = 50%
Percentage of y = $14,000 / 70,000 = 0.2 = 20%
Percentage of cash = 100 - (50 + 20) = 30%
Cash usually have a beta of zero
portfolio beta = (0.5 x 1.45) + (0.2 x 0.8) + (0.3 x 0) =
0.725 + 0.16 + 0 = 0.885
0.725
0.16
You invest $100 in a risky asset with an expected rate of return of 0.12 and a standard deviation of 0.15 and a T-bill with a rate of return of 0.05. What percentages of your money must be invested in the risk-free asset and the risky asset, respectively, to form a portfolio with a standard deviation of 0.09?
Answer:
The answer is "[tex]60\% \ in \ risky \ asset[/tex]"
Explanation:
[tex]\to 0.09 = x(0.15)\\\\\to x=\frac{0.09}{0.15}\\\\\to x=\frac{9}{15}\\\\\to x= 0.6[/tex]
[tex]\to x = 0.6 \approx 60\%[/tex] in the risky asset.
Suppose the Alaskan king crab harvest is unregulated and any person with a crab boat and some diesel fuel can go offshore, lower a crab pot, and harvest king crab. As a result, this common resource is overused. Which policy choice might produce the socially optimal king crab harvest
Answer: A. Alaska auctions a limited number of licenses to harvest king crab.
Explanation:
The options include:
A. Alaska auctions a limited number of licenses to harvest king crab.
B. The U.S. and Canadian governments remove trade barriers, which allows for more trade of products like king crab.
C. Alaska removes taxes on diesel fuel, which lowers the price of diesel.
D. Alaska subsidizes the purchase of crab boats.
The socially optimal level of output will be achieved when there's allocative efficiency. It is the level whereby market failure is curtailed.
The policy choice that might produce the socially optimal king crab harvest is for Alaska to auction a limited number of licenses to harvest king crab.
This will help in the reduction at which the resource is overused as there'll be regulation and reduction in the number of person that can harvest king crab.
Waterpark Co. had a decrease in deferred tax liability of $38 million, a decrease in deferred tax assets of $28 million, and an increase in tax payable of $118 million. The company is subject to a tax rate of 25%. The total income tax expense for the year was: Group of answer choices
Answer:
the total income tax expense is $208 million
Explanation:
The computation of the total income tax expense for the year is shown below;
Income tax expense = Increase in tax payable + decrease in deferred tax assets - decrease in deferred tax liability
= $118 million + $128 million - $38 million
= $208 million
Hence, the total income tax expense is $208 million
Consider two perfectly negatively correlated risky securities A and B. A has an expected rate of return of 10% and a standard deviation of 16%. B has an expected rate of return of 8% and a standard deviation of 12%. The risk-free portfolio that can be formed with the two securities will earn a(n) _____ rate of return.
"You own a portfolio equally invested in a risk-free asset and two stocks. If one of the stocks has a beta of 1.05 and the total portfolio is equally as risky as the market, what must the beta be for the other stock in your portfolio?"
Answer: 1.95
Explanation:
The beta for the other stock in the portfolio will be calculated thus:
Portfolio Beta = (BetaA × WeightA) + (BetaB × WeightB) + (BetaC × WeightC)
= (BetaA × 1/3) + (1.05 × 1/3) + (0 × 1/3)
= (BetaA × 1/3) + 0.35 + 0
Beta A = 1-0.35 × 3
Beta A = 0.65 × 3
Beta A = 1.95
Braden and Sons, Inc., paid cash to purchase equipment costing $342,000 this year. Also this year, the company sold for $70,000 cash equipment that originally cost $230,000 5 years ago. How should these transactions be listed in the statement of cash flows
Answer:
The purchases and the sales of equipment must be shown separately as a decrease to cash for $342,000 (purchase) and an increase of $70,000 (sale).
Explanation:
Since the cash is paid for purchased an equipment so the same should be shown in the investing activities as the cash outflow and the company sold $70,000 cash equipment so this also to be shown as the investing activities as the cash inflow
Therefore the last option is correct
In listing these transactions in the Statement of Cash Flows, the proper thing to do is: The purchases and the sales of equipment must be shown separately as a decrease to cash for $342,000 (purchase) and an increase of $70,000 (sale).
The Statement of Cashflows:
Shows the cash transactions of a company Can only show transactions involving actual cashThe amount that was used to purchase equipment was in cash so this will reduce the amount of cash that the company has.
The cash received from the sale of the equipment will be an increase in the company's cash. The previous price of the equipment is irrelevant because it does not involve cash.
In conclusion, the cash made should be added and the cash spent should be deducted.
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According to the U.S. Bureau of Labor Statistics, there were 100,800 chefs/head cooks employed in the United States in 2010 and 320,900 food service managers. Those numbers were projected to decrease to 98,800 and 311,000 by 2020. Which job was facing the larger percent decrease
Answer:
Foodservice managers
Explanation:
Considering the data available in the question we have the following:
In 2010 => Chefs / head cooks - 100,800 personnel
In 2010 => Foodservice managers = 320,900 personnel
In 2020 => Chefs/head cooks = 98,800
In 2020 => Foodservice managers = 311,000
The difference in chefs/head cooks = 100,800 - 98,000 = 2,000
While that of Food service managers = 320,900 - 311,000 = 9,900
Hence, percentage for chefs / head cooks = 2000/108900 = 1.98% decrease
Percentage of fold service managers = 9900/320900 = 3.09% decrease.
Hence, in this case, Foodservice managers facing a larger percentage decrease.
This chapter discusses many types of costs: explicit costs, implicit costs, total cost, average fixed cost, average variable cost, and marginal cost. Fill in the type of cost that best completes each sentence.
ALL POTENTIAL ANSWERS ARE EITHER AVERAGE FIXED/ AVERAGE VARIABLE/ EXPLICIT/ IMPLICIT/ MARGINAL/ OR TOTAL COST
Profits equal total revenue minus ______________ .
The term __________ refers to costs that involve direct monetary payment by the firm.
_____________ is falling when marginal cost is below it and rising when marginal cost is above it.
The cost of producing an extra unit of output is the _____________ .
__________ is always falling as the quantity of output increases.
The opportunity cost of running a business that does not involve cash outflow is a(an) ____________ .
Explanation:
To find - Fill in the type of cost that best completes each sentence.
Profits equal total revenue minus ______________ .
The term __________ refers to costs that involve direct monetary payment by the firm.
_____________ is falling when marginal cost is below it and rising when marginal cost is above it.
The cost of producing an extra unit of output is the _____________ .
__________ is always falling as the quantity of output increases.
The opportunity cost of running a business that does not involve cash outflow is a(an) ____________ .
Proof -
Profits equal total revenue minus TOTAL COST
.
The term EXPLICIT refers to costs that involve direct monetary payment by the firm.
AVERAGE VARIABLE COST is falling when marginal cost is below it and rising when marginal cost is above it.
The cost of producing an extra unit of output is the MARGINAL COST.
AVERAGE FIXED COST is always falling as the quantity of output increases.
The opportunity cost of running a business that does not involve cash outflow is a(an) IMPLICIT COST.
g Mr. and Mrs. David file a joint tax return. They have $169,300 taxable income in 2020, $120,300 of which is ordinary income and $49,000 of which is taxed at a 15% preferential rate. Compute their tax savings from the preferential rate.
Answer:
$5,860
Explanation:
Computation for their tax savings from the preferential rate
First step is to calculate their tax liability
Using this formula
Tax liability =[Tax amount on $169,300 ordinary income-(Tax Amount on $120,300 ordinary income +Tax amount on $49,000 preferential income)]
Let plug in the formula
Tax Savings=[$35,648-($22,438+$7,350)]
Tax Savings=$35,648-$29,788
Tax Savings=$5,860
Therefore their tax savings from the preferential rate is $5,860
4. Suppose that the exchange rate adjusts so that interest-rate parity holds. Further, suppose the interest rate on a one-year South Koran bond is 6 percent and the interest rate on a one-year U.S. bond is 2 percent. a) If you expect the exchange rate in one year to be 1,100 South Korean won per USD, what is the exchange rate today
Answer:
The exchange rate today is 1,058.5
Explanation:
Interest rate on 1 year South Korean bond = 6% or 0.06
Interest rate on 1 year U.S. bond = 2% or 0.02
Expected Exchange rate in 1 year = 1,100 South Korean won per USD. Let the Exchange rate today = x
[(Interest rate on South Korean bond - Interest rate on U.S. bond)/(1 + Interest rate on 1 year U.S. bond)] + 1 = (Expected Exchange rate in 1 year)/(Expected Exchange rate today)
[(0.06 - 0.02)/(1 + 0.02)] + 1 = 1,100/x
x = [0.04/1.02] + 1 = 1,100/x
x = 1,100/1.0392
x = 1,058.50
So therefore, the exchange rate today is 1,058.5
The discount rate used to calculate the net present value of a capital budgeting project should be: a. The risk-free rate. b. The weighted average cost of capital. c. LIBOR. d. The internal rate of return.
Answer:
B
Explanation:
Capital budgeting is the determination of the profitability of proposed investments
One of the capital budgeting methods is the net present value
Net present value is the present value of after-tax cash flows from an investment less the amount invested.
the Weighted cost of capital is used to determine NPV
WACC = weight of equity x cost of equity + weight of debt x cost of debt x (1 - tax rate)
It is the minimum rate of return a company expects from a project
Internal rate of return is the discount rate that equates the after-tax cash flows from an investment to the amount invested. It is a captial budgeting method
Sonia creates tests for judging product safety and advises companies about how to reduce harm from use or misuse of the product. What is her career?
a) Environmental Restoration Planner
b) Non-Deductive Testing Specialist
c) Materials Engineer
d) Product Safety Engineer
Answer:
D) Product safety Engineer
Explanation:
Grace is a self-employed sales consultant who spends significant time entertaining potential customers. She keeps all the appropriate records to substantiate her entertainment. She has the following expenses in the current year:
Meals where business was conducted $5,000 Greens fees (all business) 500
Tickets to baseball games (all business) 500
Country Club dues (all business use) 6,000
What are the tax-deductible meals and entertainment expenses Grace may claim in the current year? On which tax form should she claim the deduction?
Answer:
any options?
Explanation:
Answer: Schedule C
Explanation:
Crane and Miller Manufacturing is trying to determine the equivalent units for conversion costs with 10900 units of ending work in process at 80% completion and 31600 physical units. There are no beginning units in the department. Conversion costs occur evenly throughout the entire production period. What are the equivalent units for conversion costs for the current period?
Answer:
the equivalent units for the conversion cost is 29,420 units
Explanation:
The computation of the equivalent units for the conversion cost is shown below:
= units completed + ending inventory units
= (31,600 units - 10,900 units) + 80% of 10,900 units
= 20,700 units + 8,720 units
= 29,420 units
hence, the equivalent units for the conversion cost is 29,420 units
If all investors become more risk averse the SML will _______________ and stock prices will _______________. Multiple Choice have the same intercept with a flatter slope; rise shift upward; rise have the same intercept with a steeper slope; fall shift downward; fall
Answer:
1. have the same intercept with a steeper slope;
2. fall
Explanation:
If all investors become more risk-averse, the SML will "have the same intercept with a steeper slope," and stock prices will "Fall."
The above statement is TRUE, and it is based on the theory that the slope of the Security Market Line reflects the level at which investors are unwilling to take the risk. Whereby the average investor prefers higher returns but is reluctant to take the risk.
The Federal Open Market Committee a. by law must focus on maintaining low inflation rather than stabilizing output. b. by law must follow a mechanical rule that takes into account deviations of unemployment from its natural rate and deviations of inflation from a target. c. operates with almost complete discretion over monetary policy. d. by law must focus on stabilizing output rather than maintaining low inflation.
Answer:
c. operates with almost complete discretion over monetary policy.
Explanation:
Monetary policy can be defined as the actions (macroeconomic policies) adopted and undertaken by the central bank of a particular country to control the money supply and interest rates so as to boost or enhance economic growth. The central bank uses monetary policies to manage inflation, economic growth through long-term interest rates and level of unemployment in a country. In order to boost economic growth, monetary policy is used to increase money supply (liquidity) while it is also used to prevent inflation by reducing money supply.
Generally, money supply comprises of checks, cash, money market mutual funds (MMF) and credit (mortgage, bonds and loans).
The FOMC are typically responsible for making monetary policy and the determination of the direction of the monetary policy in the United States of America.
Hence, the Federal Open Market Committee (FOMC) are saddled with the responsibility to operate with almost complete discretion of its members over monetary policy in a particular country.
Claremont Company specializes in selling refurbished copiers. During the month, the company sold 220 copiers for total sales of $836,000. The budget for the month was to sell 215 copiers at an average price of $4,000. The sales price variance for the month was:
Answer:
$44,000 Unfavourable
Explanation:
Given the above information, sales price variance is computed as
= (Actual sales price - Standard/Budgeted sales price) × Actual units sold
Actual sales price = $836,000/220 = $3,800
Standard sales price = $4,000
Actual units sold = 220
= ($3,800 - $4,000) × 220
= $44,000 Unfavourable
The above is unfavourable sales price variance because you can sell the copier at a higher price of $4,000 than the actual price of $3,800
Both Bond Bill and Bond Ted have 6.2 percent coupons, make semiannual payments, and are priced at par value. Bond Bill has 5 years to maturity, whereas Bond Ted has 25 years to maturity. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of Bond Bill? Of Bond Ted? Both bonds have a par value of $1000. If rates were to suddenly fall by 2 percent instead, what would the percentage change in the price of Bond Bill be then? Of Bond Ted? Illustrate your answers by graphing bond prices versus YTM. What does this problem tell you about the interest rate risk of longer-term bonds?
Answer:
a-1. Percentage change in the price of Bond Bill = -8.07%
a-2. Percentage change in the price of Bond Ted = -21.12%
b-1. Percentage change in the price of Bond Bill = 8.94%
b-1. Percentage change in the price of Bond Ted = 30.77%
c. See the attached excel file for the graph.
d. It tells us that the longer the term of a bond, the greater will be its interest rate risk.
Explanation:
The price of each bond can be calculated using the following excel function:
Bond price = -PV(YTM, NPER, PMT, FV) ........... (1)
Where;
a-1. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of Bond Bill?
YTM = (6.2% + 2%) / Number of semiannuals in a year = 8.2% / 2 = 4.1%
NPER = Number of semiannuals to maturity = 5 * 2 = 10
PMT = Payment = Coupon rate * Face value = (6.2% / Number of semiannuals in a year) * 1000 = (6.2% / 2) * 1000 = $31
FV = Face value = Initial price of Bond Bill = $1,000
Substituting all the values into equation (1), we have:
New price of Bond Bill = -PV(4.1%, 10, 31, 1000)
Inputting =-PV(4.1%, 10, 31, 1000) in a cell in an excel file (Note: As done in the attached excel file), we have:
New price of Bond Bill = $919.29
Percentage change in the price of Bond Bill = ((New price of Bond Bill - Initial price of Bond Bill) / Initial price of Bond Bill) * 100 = (($919.29 - $1,000) / $1,000) * 100 = -8.07%
a-2. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of Bond Ted?
YTM = (6.2% + 2%) / Number of semiannuals in a year = 8.2% / 2 = 4.1%
NPER = Number of semiannuals to maturity = 25 * 2 = 50
PMT = Payment = Coupon rate * Face value = (6.2% / Number of semiannuals in a year) * 1000 = (6.2% / 2) * 1000 = $31
FV = Face value = Initial price of Bond Ted = $1,000
Substituting all the values into equation (1), we have:
New price of Bond Ted = -PV(4.1%, 50, 31, 1000)
Inputting =-PV(4.1%, 50, 31, 1000) in a cell in an excel file (Note: As done in the attached excel file), we have:
New price of Bond Ted = $788.81
Percentage change in the price of Bond Ted = ((New price of Bond Ted - Initial price of Bond Bill Ted) / Initial price of Bond Ted) * 100 = (($788.81 - $1,000) / $1,000) * 100 = -21.12%
b-1. If rates were to suddenly fall by 2 percent instead, what would the percentage change in the price of Bond Bill be then?
YTM = (6.2% - 2%) / Number of semiannuals in a year = 4.2% / 2 = 2.1%
NPER = Number of semiannuals to maturity = 5 * 2 = 10
PMT = Payment = Coupon rate * Face value = (6.2% / Number of semiannuals in a year) * 1000 = (6.2% / 2) * 1000 = $31
FV = Face value = Initial price of Bond Bill = $1,000
Substituting all the values into equation (1), we have:
New price of Bond Bill = -PV(2.1%, 10, 31, 1000)
Inputting =-PV(2.1%, 10, 31, 1000) in a cell in an excel file (Note: As done in the attached excel file), we have:
New price of Bond Bill = $1,089.36
Percentage change in the price of Bond Bill = ((New price of Bond Bill - Initial price of Bond Bill) / Initial price of Bond Bill) * 100 = (($1,089.36 - $1,000) / $1,000) * 100 = 8.94%
b-2. If rates were to suddenly fall by 2 percent instead, what would the percentage change in the price of Bond Ted be then?
rate = new YTM = (6.2% - 2%) / Number of semiannuals in a year = 4.2% / 2 = 2.1%
NPER = Number of semiannuals to maturity = 25 * 2 = 50
PMT = Payment = Coupon rate * Face value = (6.2% / Number of semiannuals in a year) * 1000 = (6.2% / 2) * 1000 = $31
FV = Face value = Initial price of Bond Ted = $1,000
Substituting all the values into equation (1), we have:
New price of Bond Ted = -PV(2.1%, 50, 31, 1000)
Inputting =-PV(2.1%, 50, 31, 1000) in a cell in an excel file (Note: As done in the attached excel file), we have:
New price of Bond Ted = $1,307.73
Percentage change in the price of Bond Ted = ((New price of Bond Ted - Initial price of Bond Bill Ted) / Initial price of Bond Ted) * 100 = (($1,307.73 - $1,000) / $1,000) * 100 = 30.77%
c. Illustrate your answers by graphing bond prices versus YTM.
Note: See the attached excel file for the graph.
d. What does this problem tell you about the interest rate risk of longer-term bonds?
It tells us that the longer the term of a bond, the greater will be its interest rate risk.