Answers
Answer:
a.
Bond Price = $1071.766818 rounded off to $1071.77
b.
Bond Price = $934.0515914 rounded off to $934.05
c.
Current Yield = 0.06423 or 6.423%
Explanation:
a.
To calculate the price of the bond today, we will use the formula for the price of the bond. We assume that the interest rate provided is stated in annual terms. As the bond is a semi annual bond, the coupon payment, number of periods and semi annual YTM will be,
Coupon Payment (C) = 1000 * 0.06 * 6/12 = $30
Total periods (n) = 9 * 2 = 18
r or YTM = 0.05 * 6/12 = 0.025 or 2.5%
The formula to calculate the price of the bonds today is attached.
Bond Price = 30 * [( 1 - (1+0.025)^-18) / 0.025] + 1000 / (1+0.025)^108
Bond Price = $1071.766818 rounded off to $1071.77
b.
Replacing YTM or r with = 7% * 6/12 = 3.5% or 0.035 in the above formula with everything else being constant, we calculate the price to be,
Bond Price = 30 * [( 1 - (1+0.035)^-18) / 0.035] + 1000 / (1+0.035)^108
Bond Price = $934.0515914 rounded off to $934.05
c.
The current yield is the coupon or interest payment made by the bond over a year which is expressed as a percentage of its current price.
Current Yield = (30 * 2) / 934.05
Current Yield = 0.06423 or 6.423%
Related Questions
Stormer Company reports the following amounts on its statement of cash flow: Net cash provided by operating activities was $37,500; net cash used in investing activities was $13,800 and net cash used in financing activities was $17,700. If the beginning cash balance is $6,900, what is the ending cash balance?
a) $75,900.
b) $62,100.
c) $40,500.
d) $6,000.
$12,900.
Answers
Answer:
e. $12,900
Explanation:
Given that:
Net Cash provided by operating activities = $37,500
Net Cash used in investing activities = $13,800
Net Cash used in financing activities = $17,700
Beginning cash balance = $6,900
Stormer company's ending balance would be;
= Beginning cash balance + Net cash provided by operating activities - Net cash used in financing activities - Net cash used in investing activities
= $6,900 + $37,500 - $17,700 - $13,800
= $12,900
Suppose that 2 years after the issue date (as in Part a) interest rates fell to 8%. Suppose further that the interest rate remained at 8% for the next 8 years. What would happen to the price of the bonds over time
Answers
Answer:
the first part of the question is missing, so I looked fro a similar one:
Suppose Hillard Manufacturing sold an issue of bonds with a 10-year maturity, a $1,000 par value, a 10% coupon rate, and semiannual interest payments.
the market price of the bond after 2 years:
PV of face value = $1,000 / (1 + 4%)¹⁶ = $533.91
PV of coupon payment = $50 x 11.652 (PV annuity factor, 4%, 16 periods) = $582.60
market price = $1,116.51
the market price of the bond after 5 years:
PV of face value = $1,000 / (1 + 4%)⁶ = $790.31
PV of coupon payment = $50 x 5.2421 (PV annuity factor, 4%, 6 periods) = $262.11
market price = $1,052.42
the market price of the bond after 7 years:
PV of face value = $1,000 / (1 + 4%)² = $924.56
PV of coupon payment = $50 x 1.8861 (PV annuity factor, 4%, 2 periods) = $94.31
market price = $1,018.87
The year-end financial statements of Rally Company for the current year, report total revenues of $19,829 million, accounts receivable of $1,272 million at the current year-end, and $1,19 million for the prior year-end. The company's accounts receivable turnover for the year is:_______.
a. 18.3 times.
b. 18.9 times.
c. 19.5 times.
d. 20.0 times.
e. none of these are correct.
Answers
Answer:
16.1 times
Explanation:
Calculation for the company's accounts receivable turnover for the year
Using this formula
Accounts Recievable Turnover = Total Revenues/Average accounts receivables
Let plug in the formula
Accounts Receivable Turnover = $19,829/[($1,272+$1,198)/2]
Accounts Receivable Turnover =$19,829/$1,235
Accounts Receivable Turnover = 16.1 times
Therefore The company's accounts receivable turnover for the year is: 16.1 times
Revenues, Expenses, and Cost of Goods Sold are closed to which of the following accounts:_________
A) Income Summary
B) Retained Earnings
C) Other Income
D) Dividends
E) None of the Above
Answers
Answer: A) Income Summary
Explanation:
The Income Summary account is used to compile temporary accounts before posting them to capital accounts. Revenues, Expenses and Cost of Goods are temporary accounts which will be compiled in the Income summary account.
The Income summary account has a debit and a credit side with income going on the credit side and expenses going on the debit side. If the credit side is higher than the debit side then profits have been made. The reverse is true.
Which financial statement would include a listing of a companies assets
Answers
Answer:
Balance Sheet
Explanation:
In accounting, Balance sheet will show a complete listing of assets, liabilities and Equity of a company within a specific time period. (For most companies, the balance sheet will be made at each end of the year)
under the Assets segment, Balance sheet will specify several accounts arranged based on their liquidity. Cash usually put at the top of the list since it's considered as the most liquid assets.
People use balance sheet to give a general measurement on Company's financial health. If for example, they noticed that the liability is significantly larger than their assets, investors might feel discourage to invest in the company.
benefits are offered by employers to attract good employees
Answers
Answer:
its true :))
Explanation:
Answer:
true
Explanation:
edg 2021
Based on the following information, calculate the cost of goods sold and ending inventory using FIFO, LIFO, and weighted average assuming a perpetual inventory system is in place.
Beginning Balance - 90 units at $11
March 3 - Purchase 300 units for $15
April 4 - Sell 240 units for $28
June 30 - Purchase 250 units for $18
August 16 - Sell 180 units for $30
Answers
Answer:
Cost of Sales :
FIFO = $ 6,030
LIFO = $6,840
Weighted Average = $6,354.60
Ending Inventory :
FIFO = $4,176
LIFO = $3,150
Weighted Average = $3,636.60
Explanation:
FIFO
This method assumes that the first inventory purchased will be the first to be sold
Cost of Goods Sold :
90 units × $11 = $990
150 units × $15 = $2,250
150 units × $15 = $2,250
30 units × $18 = $540
Total = $ 6,030
Ending Inventory :
232 units × $18 = $4,176
LIFO
This method assumes that the last inventory purchased, will be the last to be sold
Cost of Sales :
240 units × $15 = $3,600
180 units × $18 = $3,240
Total = $6,840
Ending Inventory :
90 units × $11 = $ 990
60 units × $15 = $ 900
70 units × $18 = $ 1,260
Total = $3,150
Weighted Average
A new average cost per unit is calculated with every purchase made.
New Average Cost = (90 units × $11 + 300 units × $15) ÷ 390 units
= $14.08
Cost of Sale , April 4 = 240 units × $14.08
= $3,379.20
New Average Cost = (150 units × $14.08 + 250 units × $18.00) ÷ 400 units
= $16.53
Cost of Sale, Aug 16 = 180 units × $16.53
= $2,975.40
Total Cost of Sales = $3,379.20 + $2,975.40
= $6,354.60
Ending Inventory = 220 units × $16.53
= $3,636.60
Suppose apples are currently selling for 50 cents a piece. Someone says that apple
sellers can't make a decent living if they sell their apples so cheaply. This person says
there should be a law stating that no one can sell an apple and no one can buy an apple
for less than 75 cents. A law to raise the income of apple sellers is suggested. What might
be an unintended consequence (effect) of this law?
Answers
In Opulencia, the marginal propensity to save is only 0.10. In an effort to promote the virtues of saving, the government starts a campaign encouraging citizens to increase their marginal propensity to save to 0.20. How would this greater saving affect the impact of the multiplier?
A) The multiplier rises, making spending more powerful.
B) The multiplier falls, making spending less powerful.
C) The multiplier stays the same.
D) The multiplier will disappear altogether.
Answers
Answer:
B) The multiplier falls, making spending less powerful.
Explanation:
As we know that the multiplier refers to a factor where the changes with respect to increase or decrease of another things is to be seen.
Also,
MPS + MPC = 1
And,
Multiplier = 1 ÷ (1 - MPC)
or
= 1 ÷ MPS
In addition to this, MPS has the negative relationship with the multiplier
that means if the MPS increased then the multiplier decreased and vice versa
Therefore the option B is correct
The economy is part of that influences all organizations
Answers
Jared's Co. has total assets of $60,000 and total liabilities of $40,000. Its debt-to-equity ratio is
Answers
Answer:
2.0
Explanation:
A firm operated at 90% of capacity for the past year, during which fixed costs were $420,000, variable costs were 40% of sales, and sales were $1,000,000. Operating income was:____________.
a. $420,000
b. $980,000
c. $180,000
d. $1,080,000
Answers
Answer:
A
Explanation:
Based on the fixed and variable costs, as well as the sales amount, the operating income was C. $180,000.
What was the operating income?This can be found as:
= Sales - Variable costs - Foxed costs
Solving gives:
= 1,000,000 - (40% x 1,000,000) -420,000
= 1,000,000 - 400,000 - 420,000
= $180,000
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If a portfolio of the two assets has an expected return of 7 percent, what is its beta? (Do not round intermediate calculations and round your answer to 3 decimal places, e.g., 32.161.)
Answers
Answer:
the beta of the portfolio is 0.562
Explanation:
The computation of the beta is shown below:
As we know that
Expected return of portfolio = return of stock × weightage of stock + return of risk free asset × weightage of risk free asset
7% = 11% × weightage of stock + 2.4% × (1 - weightage of stock)
weightage of stock = 0.535
Now Beta of portfolio is
= 1.05 × 0.535
= 0.562
hence, the beta of the portfolio is 0.562
The allowance method that assumes a given percent of a company’s credit sales for the period is uncollectible is:___________.
a. The percent of sales method.
b. The percent of accounts receivable method.
c. The aging of accounts receivable method.
d. Direct write-off method.
e. Factoring method.
Answers
Answer:
Option A
Explanation:
In simple words, The percentage of sales method can be defined as the financial forecasting model under which all financial line items such as cost of goods sold, stock levels, and funds are expressed in the form of percentage of total sales made from a company's accounts. The analyst then used those projected sales to estimate he future values of those items.
The allowance method with the assumption that a given percent of a company’s credit sales for the period is uncollectible is: The percent of sales method.
The percent of sales method serves as financial forecasting model whereby financial line items such as costs of goods sold as well as inventory, and cash are been calculated as a percentage of sales.It usually use the assumption that particular percent of credit sales in that particular period is uncollectible .Therefore, option A is correct.
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_____is a set of laws about the way a business should behave.
A)Business ethics
B)Company constitution
C)Ethics
D)The Better Business Bureau
Answers
Sunoco in Canada realizes the importance of physical evidence to determining the value of the service being provided.As a result,it has refurbished its restrooms and committed its station operators to maintaining hygienic restrooms.A clean-smelling restroom is an example of a positive:____________.
A) Artifact
B) Functional form
C) Ambient condition
D) Spatial format
E) Service symbol
Answers
Answer: ambient condition
Explanation:
Based on the scenario in the question, a clean-smelling restroom is an example of a positive ambient condition.
Ambient condition simply refers to a term typically used by designers when referring to the ventilation systems. It should be noted that ambient conditions gas to do with temperature, and humidity.
Ambient working conditions are essential for a company. From the question, refurbishing of the restrooms and maintaining hygienic restrooms shows that a positive ambient condition is being created.
Professional Properties is considering remodeling the office building it leases to Heartland Insurance. The remodeling costs are estimated at $3.4 million. If the building is remodeled, Heartland Insurance has agreed to pay an additional $820,000 a year in rent for the next 5 years. The discount rate is 15 percent. What is the benefit of the remodeling project to Professional Properties? A) -$651,233 B) -$489,072 C) $5,214 D) $128,399 E) $311,417
Answers
Answer:
A) -$651,233
Explanation:
The computation of the benefit generated of the remodelling project is shown below:
If we considered the discounted rate i.e. 15% for 5 years of $820,000 so its present value would be $2,748,767 ($820,000 × 3.3521)
And, the predicted cost is $3,400,000
So here the cost is there instead of the benefit of
= $2,748,767 - $3,400,000
= -$651,233
Hence, the correct option is A
If the growth rate of the money supply is 8%, velocity is constant, and real GDP grows at 4% per year on average, then the inflation rate will be _____%.If the growth rate of the money supply increases to 13%, velocity is constant, and real GDP grows at 2% per year on average, then the inflation rate will be _____%.If the growth rate of the money supply increases to 13%, velocity grows at 11%, and real GDP grows at 2% per year on average, then the inflation rate will be ______%.
Answers
Answer:
Explanation:
The formula to solve the question is:
∆M + ∆V = ∆P + ∆Y
where,
∆M = relation among money growth
∆V = changes in money velocity
P = change in prices
∆Y = change in real GDP
1. For question 1,
∆M = 8%, ∆V = 0, ∆Y = 4
∆M + ∆V = ∆P + ∆Y
8% + 0 = ∆P + 4%
∆P = 8% - 4%
Inflation rate = 4%
2. ∆M = 13%, ∆V = 0, ∆Y = 2%
∆M + ∆V = ∆P + ∆Y
13% + 0 = ∆P + 2%
∆P = 13% - 2%
∆P = 11%
Inflation rate = 11%
3. ∆M = 13, ∆V = 11, ∆Y = 2
∆M + ∆V = ∆P + ∆Y
13% + 11% = ∆P + 2%
∆P = 13% + 11% - 2%
∆P = 22%
Inflation rate = 22%
How much will net operating income increase (decrease) per month if the monthly advertising budget increases by $8,700 and monthly sales increase by $19,800
Answers
ix company issued 16,000 shares of $10 par value common stock at a market price of $21. as a result of this accounting event, the amount of stockholders equity would
Answers
Answer:
increase by $336,000.
Explanation:
Options are "1. increase by $176,000. 2. increase by $336,000. 3. increase by $160,000. 4. be unaffected."
Common stock will increase by $160,000, the par value, and paid-in capital in excess of par value will increase by $176,000, for a total increase in stockholders' equity of $336,000.
Select the benefits of mentoring goal process PLS HELP ASAP
Answers
Answer:
Mentoring relationships can result in the following:
Increased knowledge transfer.
Job satisfaction.
Smart succession planning.
Development of leadership skills.
Motivation for professional development and accountability.
Achievement of goals and objectives.
Stronger internal networks.
Increased teamwork.
Explanation:
1. Research is
a. A systematic methodological process to answer a question
b. A process of data collection to formulate a report
c. An experimentation to construct a hypothesis
Answers
Answer:
I think a. a systematic
The internal rate of return method is not subject to the limitations of the net present value method when comparing projects with different amounts invested because:_____.
A. The internal rate of return is expressed as a percent rather than the absolute dollar value of present value.
B. The internal rate of return is expressed as an absolute dollar value rather than the percent of net present value.
C. The internal rate of return reflects the time value of money rather than the absolute dollar value of present value.
D. The internal rate of return is expressed as an absolute dollar value rather than the time value of money used in net present value.
E. The internal rate of return is expressed as a percent rather than the accrual income method used in net present value.
Answers
Answer: A. The internal rate of return is expressed as a percent rather than the absolute dollar value of present value.
Explanation:
The internal rate of return is used in calculating the rate of return for the investment of a company. During the calculation, external factors like cost of capital, inflation, risk free rate are all excluded.
The internal rate of return method is not subject to the limitations of the net present value method when comparing projects with different amounts invested because it's expressed as a percent rather than the absolute dollar value of present value..
Gaber Land Corp. is evaluating a 4-acre (front 2-acre and back 2-acre) waterfront property for development. Gaber is considering a design that includes a 32-unit building on each lot. Determine the total initial cost using the per unit model
Answers
Complete Question:
Gaber Land Corp. is evaluating a 4-acre waterfront property for development into rental condominiums. The front 2-acre lot is more expensive to purchase than the rear 2-acre lot, and condo leases closer to the waterfront can be more expensive than those units in the rear. Gaber is considering a design that includes a 32-unit building on each lot.
Data includes the following:
Initial Costs
Lot purchase prices: $400,000/acre front lot, $100,000/acre back lot Legal fees, applications, permits, etc.: $80,000
Site clearing and preparation: $3000/acre
Paving roadways, parking, curbs, and sidewalks: 25% of total lot at $40,000/acre.
Construction costs: $3,000,000 per building
Recurring Costs
Taxes and insurance: $5000/month per building
Landscaping: 25% of lot at S1000/acre/month
Security: $1000 building for $1500/month
Other costs: $2000/month
Revenue (assume 90% annual occupancy)
Front lot units: $2500/unit/month
Rear lot units: $1750/unit/month
Other revenue: $5000/month
Answer the following: (1) Use the concept of the per-unit model to estimate the total initial cost. annual cost, and annual revenue of this prospective project, and (2) If you made the simplifying assumption of no changes to costs and revenues for 10 years, estimate the profitability of this prospective investment ignoring the effects of money's value over time.
Answer:
Gaber Land Corp.
1a. Total Initial cost: $193,252,000
1b. Annual cost: $5,064,000
1c. Annual revenue: $5,935,200
2. Profitability of Project for 10 years:
Total Revenue $5,935,200 x 10 years = $59,352,000
Total costs $5,064,000 x 10 years = (50,640,000)
Profitability $8,712,000
The profitability totalling $8,712,000 for ten years will be reduced by the allocated cost of building for the same period in order to determine the net income.
Explanation:
a) Data and Calculations:
Initial costs:
Lot purchase prices:
Front lot, $400,000/acre x 2 = $800,000
Back lot $100,000/acre x 2 = 200,000
Legal fees, applications, permits, etc. 80,000
Site clearing & preparation: $3000/acre 12,000 ($3,000 * 4)
Paving roadways, parking, curbs, and sidewalks:
25% of total lot at $40,000/acre. 160,000
Construction costs:
$3,000,000 per building 192,000,000
Total initial costs $193,252,000
Annual costs:
Taxes and insurance: $5000/month per building $3,840,000
Landscaping: 25% of lot at S1000/acre/month 48,000
Security: $1000 building for $1500/month 1,152,000
Other costs: $2000/month 24,000
Total annual costs $5,064,000
Revenue (assume 90% annual occupancy)
Front lot units:
$2500/unit/month (32 * 4 * 2,500 * 90% * 12) = $3,456,000
Rear lot units:
$1750/unit/month (32 * 4* 1,750 * 90% * 12) = 2,419,200
Other revenue: $5000/month ($5,000 * 12) = 60,000
Total annual revenue = $5,935,200
While the present wealth of customers in a national market is an important factor, the firm must also consider living standards and _______________________.
Answers
Economic growth
Answer:
Economic Growth
Explanation:
In a national market, part of the risk of entering into said market is the economic growth of the nation. A low growth rate has a higher risk.
Which of the following accounts is debited, when overhead is applied to jobs?
a) Manufacturing Overhead
b) Work in Process
c) Inventory Indirect
d) Labor Finished
e) Goods Inventory
Answers
Answer: Work in process
Explanation:
It should be noted that the work in process inventory will be debited on a situation wherby the overhead is being applied to jobs
During production when the manufacturing overhead is being applied for production purposes, the manufacturing overhead is credited and the work in process is debited.
Therefore, the correct option is B.
Explain which of the following items are money in the U.S. economy. Discuss your answers in terms of three functions of money. 1. US $100 2. Euro 3. Mona Lisa painting 4. American Express credit card
Answers
Answer:
$100
Mona Lisa painting
Explanation:
To start with, I will list the 3 primary functions of money, which are;
store of value,
unit of account, and
medium of exchange.
Going by the above, I would say that 2 of the 4 options presented before us are money, why so?
A $100 bill is definitely money, no much explanation is needed here, because it's used daily as a means of exchange between people
2. Euro is not a form of money in the US. While it is a form of money in many other places, it's not in the US because it doesn't satisfy the "medium of exchange" criteria of function of money. Euro can not be spent in a store or anywhere in the country, without it having been first exchanged into dollars
3. Mona Lisa painting, part of the functions of money is to store value, and I believe very much, a painting is a good store of money in that regard.
4. American Express credit card is not a form of money because unlike money
being used essentially, to pay for goods and services directly, a credit card is more or less, a store of wealth that is lent by the bank
AJAX Inc. has subsidiaries in Vietnam, Bangladesh, and China. AJAX pays an annual insurance premium to OPIC (the Overseas Private Investment Corporation). AJAX is probably protecting itself from _____.
a. natural disasters overseas.
b. financial instability.
c. unfair competition.
d. nationalization.
Answers
Answer:
The correct answer is the option B: Financial instability.
Explanation:
To begin with, the "Overseas Private Investment Corporation" or OPIC was the name given to a financial institution of the United States Government who main purpose was to help solve problems according to financial matters of companies who were going abroad to establish work and capital. Therefore that this institution was created with the objective of impulsing the United States' foreign policies. That is why that if AJAX pays an annual insurance premium to OPIC is because its trying to protect itself from financial instability that could bring the fact of going overseas to work, which in case that happens the OPIC will help them to resolve that situation
The Costaguanan stock market provided a rate of return of 97%. The inflation rate in Costaguana during the year was 81%. In Ruritania the stock market return was 17%, but the inflation rate was only 4%. Calculate the real rate of return for Costaguanan stock market.
Answers
Answer:
The answer is "[tex]\bold{8.8\% \ and \ 2.16 \%}[/tex]".
Explanation:
Fischer relationship centered:
[tex]\to (1 + Nominal\ rate) = (1 + Real\ rate) \times (1 + Inflation)\\\\\to \text{For Costaguanan Stock},\\\\\to (1 + 97 \%) = (1 + Real \ rate) \times (1 + 81 \%)\\\\[/tex]
[tex]\to (1 + 0.97 ) = (1 + Real \ rate) \times (1 + 0.81 )\\\\\to (1.97) = (1 + Real \ rate) \times (1.81)\\\\ \to (1 + Real \ rate) = \frac{1.97}{1.81} \\\\\to (1 + Real \ rate) = 1.088 \\\\\to Real \ Rate = 1.088 -1 \\\\[/tex]
[tex]= 0.088 \\\\= 8.8\%[/tex]
[tex]\text{For Ruritania Stock,}[/tex]
[tex]\to (1 + 17 \%) = (1 + Real \ rate) \times (1 + 4 \%)\\\\\to (1 + 0.17 ) = (1 + Real \ rate) \times (1 + 0.04 )\\\\\to (1.17) = (1 + Real \ rate) \times (1.04)\\\\\to (1 + Real \ rate) = \frac{1.17}{1.04}\\\\\to (1 + Real \ rate) = 1.216\\\\\to Real \ rate = 1.216 -1[/tex]
[tex]= 0.216 \\\\=2.16 \%[/tex]
Suppose the demand function for good X is given by: Q_dx = 15-0 5P_x - 0.8 P y where Q_dx is the quantity demanded of good X, P_x is the price of good X, and P_y is the price of good Y, which is related to good X. a. Using the midpoint method, if the price of good Y is $10 and the price of good X decreases from $5 to $3, what is the price elasticity of demand for good X? Is the demand elastic, unitary elastic, or inelastic? b. Good X and Good Y are related as c. Using the midpoint method, if the price of good X is $10 and the price of good increases from $8 to $10, the cross price elasticity of demand is about
Answers
Answer:
a. Price elasticity of demand for good X is -0.80; and the demand is inelastic.
b. Good X and Good Y are related as complements.
c. The cross price elasticity of demand is about -2.57%.
Explanation:
Note: There is an error in the demand function for good X. This is therefore corrected by restating the function as follows:
Q_dx = 15 - 0.5P_x - 0.8 P_y …………………………… (1)
a. Using the midpoint method, if the price of good Y is $10 and the price of good X decreases from $5 to $3, what is the price elasticity of demand for good X? Is the demand elastic, unitary elastic, or inelastic?
From the question and equation (1), we have:
Old price of good X = Old P_x = $5
New price of good X = New P_x = $3
New quantity demanded of good X = New Q_dx = 15 - (0.5 * 3) - (0.8 * 10) = 5.50
Old quantity demanded of good X = New Q_dx = 15 - (0.5 * 5) - (0.8 * 10) = 4.50
Ordinarily, the formula for calculating the price elasticity of demand is as follows:
Price elasticity of demand = Percentage change in quantity demanded of good X / Percentage change in price of good X ................ (1)
Where, based on the midpoint formula, we have:
Percentage change in quantity demanded of good X = {(New quantity demanded of good X - Old
quantity demanded of good X) / [(New quantity demanded of good X + Old quantity demanded of good X) / 2]} * 100 = {(5.50 - 4.50) / [(5.50 + 4.50) / 2]} * 100 = 20%
Percentage change in price = {(New price of good X - Old price of good X) / [(New price of good X + Old Price of good X) / 2]} * 100 = {(3 - 5) / [(3 + 5) / 2]} * 100 = -25%
Substituting the values into equation (1), we have:
Price elasticity of demand for good X = 20% / -25% = -0.80
Therefore, the price elasticity of demand (based on the midpoint formula) when price decreases from $5 to $3 is -0.80.
Since the absolute value of the price elasticity of demand for good X i.e. |-0.80| is less than one, the demand is inelastic.
b. Good X and Good Y are related as
From equation (1) above, the coefficient P_Y is -0.80 which shows that it has a negative sign.
The negative sign indicates Good X and Good Y are related as complements. This implies that as price of Good Y falls, the quantity demand of Good X increases.
c. Using the midpoint method, if the price of good X is $10 and the price of good Y increases from $8 to $10, the cross price elasticity of demand is about
From the question and equation (1), we have:
Old price of good Y = Old P_y = $8
New price of good Y = New P_y = $10
New quantity demanded of good X = New Q_dx = 15 - (0.5 * 10) - (0.8 * 10) = 2
Old quantity demanded of good X = New Q_dx = 15 - (0.5 * 10) - (0.8 * 8) = 3.60
Ordinarily, the formula for calculating the cross price elasticity of demand is as follows:
Cross price elasticity of demand of goods X and Y = Percentage change in quantity demanded of good X / Percentage change in price of good Y ................ (2)
Where, based on the midpoint formula, we have:
Percentage change in quantity demanded of good X = {(New quantity demanded of good X - Old
quantity demanded of good X) / [(New quantity demanded of good X + Old quantity demanded of good X) / 2]} * 100 = {(2 - 3.60) / [(2 + 3.60) / 2]} * 100 = -57.1428571428572
Percentage change in price of good Y = {(New price of good Y - Old price of good Y) / [(New price of good Y + Old Price of good Y) / 2]} * 100 = {(10 - 8) / [(10 + 8) / 2]} * 100 = 22.2222222222222
Substituting the values into equation (2), we have:
Cross price elasticity of demand of good X and Y = -57.1428571428572 / 22.2222222222222 = -2.57142857142857
Rounding to 2 decimal places, we have:
Cross price elasticity of demand of good X and Y = -2.57
Therefore, the cross price elasticity of demand is about -2.57%.
Note: This confirms that the relationship between Good X and Good Y is complement because the cross-price elasticity between them is negative. That is, an increase in the price of Good Y makes consumer to buy less of Good X which is a complement.
