Answer:
The answer is Net income will be reduced by $42,000
Explanation:
Indirect method of preparing cash floe starts with net income.
In cash flow provided by operating activities;
Increase is liabilities is a cash inflow while decrease in liabilities in a cash outflow.
In the same vein, increase in asset is a cash outflow while decrease in asset is a cash inflow.
The effect of these adjustments will be:
Increase in accounts receivable - ($28,000)
Decrease in accounts payable----($14,000)
Cash provided by operating activities - ($42,000)
Net income will be reduced by $42,000
Explain how you would value a stock. Provide an example of a valuation of a stock based on retrieved real data. Include evidence of the retrieved data in your answer. Compare your valuation with the actual price of the stock at the designated time for your valuation.
Answer with Explanation:
There are numerous stock valuing models but here, I will use Dividend Valuation Model which is based on finding the intrinsic value of Stock which is the present value of the stock at a required rate of return. The formula to calculate Intrinsic value of stock is given as under:
P0= D0 * (1 + g) / (ke - g)
Here
P0 is the intrinsic value of the stock
D0 is the dividend just paid
g is the growth rate
ke is the investor's required rate of return
The model doesn't holds if the company doesn't pays Dividend.
Now suppose that the Dividend just paid by Apple is $20 per stock. The anticipated growth rate of dividend is 10% and the required rate of return is at 15%.
By putting values in the above equation, we have:
P0= $20 * (1 + 10%) / (15% - 10%)
= $20 / (15% - 10%)
= $400 per share
The value of stock of Apple is $400 per share which must be its fair market value as per the Dividend Valuation Model.
As per the model, if the value of stock is higher as per dividend valuation model then we must purchase the stock as it will generate higher value and vice versa. The inherent limitation of the model is that it assumes that the dividend is growing at constant rate and is consistently paid. The main disadvantage of Dividend valuation model is that it doesn't account for political factors, economical factors, evolving business risks, technological factors, etc.
Petrus Framing's cost formula for its supplies cost is $1,700 per month plus $8 per frame. For the month of March, the company planned for activity of 610 frames, but the actual level of activity was 613 frames. The actual supplies cost for the month was $6,870. The activity variance for supplies cost in March would be closest to:
Answer:
The activity variance for supplies cost in March would be closest to $24 (Unfavorable)
Explanation:
The activity variance for supplies cost in March is calculated below
Activity variance = Planning Budget - Flexible Budget
= ($1,700 + ($8 * 610)) - ($1,700 + ($8 * 613))
= ($1,700 + $4,880) - ($1,700 + $4,904)
= $6,580 - $6,604
= $24U
The flexible budget is greater than the planning budget. Therefore, the variance is unfavorable (U)
the annual discount rate is 10% beginning in 2016, you will receive $10000 on the first day of every year. what is the resent value of this inginite sequence of cash flow
Answer:
$100,000
Explanation:
Data provided
Perpetual cash flow = $10,000
Discount rate = 10%
According to the given situation, the computation of Present value of this inginite sequence of cash flow is shown below:-
Present value = Perpetual cash flow ÷ discount rate
= $10,000 ÷ 10%
= $10,000 ÷ 0.1
= $100,000
Therefore for computing the present value we simply applied the above formula.
he management accountant for Giada's Book Store has prepared the following income statement for the most current year: Cookbook Travel Book Classics Total Sales $68,000 $126,000 $53,000 $247,000 Cost of goods sold 40,000 66,000 21,000 127,000 Contribution margin 28,000 60,000 32,000 120,000 Order and delivery processing 21,000 24,000 11,000 56,000 Rent (per sq. foot used) 2,000 5,000 4,000 11,000 Allocated corporate costs 8,000 8,000 8,000 24,000 Corporate profit $ (3,000) $23,000 $9,000 $29,000 If the cookbook product line had been discontinued prior to this year, the company would have reported ________.
Answer:
Giada's Book Store
The company would have reported a total profit of $19,000, which is $10,000 less.
Explanation:
a) Data and Calculations:
Income statement for the most current year:
Cookbook Travel Book Classics Total
Sales $68,000 $126,000 $53,000 $247,000
Cost of goods sold 40,000 66,000 21,000 127,000
Contribution margin 28,000 60,000 32,000 120,000
Order and delivery processing 21,000 24,000 11,000 56,000
Rent (per sq. foot used) 2,000 5,000 4,000 11,000
Allocated corporate costs 8,000 8,000 8,000 24,000 Corporate profit $ (3,000) $23,000 $9,000 $29,000
Corporate profit = $29,000
less allocated cookbook costs 10,000
Adjusted corporate profit = $19,000
b) Discontinuing the Cookbook product line would have eliminated the contribution the product line makes to defraying Rent and Allocated Corporate costs totalling $10,000 unless the Rental space was a variable cost.
Lead time for one of your fastest-moving products is 24 days. Demand during this period averages 110 units per day. a) What would be an appropriate reorder point? nothing units (enter your response as a whole number). b) How does your answer change if demand during lead time doubles? nothing units (enter your response as a whole number). c) How does your answer change if demand during lead time drops in half? nothing units (enter your response as a whole number).
Answer:
a.) reorder point = 2,640 units
b.) reorder point = 5,280 units (reorder point doubles)
c.) reorder point = 1,320 units (reorder point drops in half)
Explanation:
Reorder point is the inventory level (point) at which action is taken (order placed) to replenish the stocked item. It is calculated as follows:
Reorder point = (Lead time × average daily sales) + safety stock
Lead time = 24 days
average daily sales = 110 units
safety stock = 0 (not given)
a.) reorder point = (Lead time × average daily sales) + safety stock
reorder point = (24 × 110) + 0 = 2,640 units
b.) if demand during lead time doubles:
lead time = 24 days
average daily sales = (110 × 2) = 220
∴ reorder point = 220 × 24 = 5,280 units
Therefore the reorder point doubles
c.) if demand during lead time drops in half:
lead time = 24 days
average daily demand = (110 ÷ 2) = 55 units
∴ reorder point = 24 × 55 = 1,320 units
Therefore the reorder point drops in half.
Evaluate the Ritz-Carlton business model and associate key quality characteristics in the operations of a hotel set-up process.
Answer:
Ritz Carlton is luxury hotel chain of America. The company has 101 luxury hotel in more than 30 countries of the world. The success of Ritz Carlton is mainly because they keep the comfort of their guests as their highest priority. Their mission statement clearly states that comfort and genuine care of their guests is utmost important to them.
Explanation:
Their business model focuses entirely on their customers. Ritz Carlton has created its leading brand by providing great ambiance to the visitors and its guest. One can dream of staying at such luxury hotel. They are famous for their hospitality of their guests. The hotel management believes on total quality management. It has set highest standard for themselves and strive to meet them by providing better and better service to its guests.
the fair value of Blossom is estimated to be $820,800. The carrying value of Blossom’s net identifiable assets, including the goodwill, at year-end is $855,000. Prepare Cullumber’s journal entry, if necessary, to record impairment of goodwill.
Answer:
Cullumber Company
Journal Entry:
Debit Loss on Goodwill Impairment $34,200
Credit Goodwill $34,200
To record the loss on goodwill impairment.
Explanation:
a) Data and Calculation:
Fair value = $820,800
Carrying value of net identifiable assets, including goodwill = $855,000
Goodwill impairment = $34,200 ($855,000 - $820,800)
b) Cullumber, which acquired Blossom is expected to check for the impairment of goodwill yearly. The impairment occurs when the carrying value of the net identifiable assets of Blossom is more than the fair value of Blossom. Generally Accepted Accounting Standards require the annual review of the fair value of goodwill to check for its impairment. By the above entry, the goodwill will be reduced by $34,200 and a loss debited in Cullumber's accounts.
Terrance needs to comminicate with managers in several different locations regarding a sensitive complex topic. Therefore he should choose the communication medium highest in information richness which would be a:______
a. Voice mail message.
b. Group email.
c. Videoconference.
d. Recorded presentation.
Jock and Kyla decide to wager, in violation of a state statute, on the outcome of a football game. They each deposit money with Len, who agrees to pay the winner of the bet. Before the game begins, Kyla tells Len that she changed her mind about the bet. Kyla can recover Group of answer choices
Answer:
The amount of her bet only
Explanation:
A wager is a gamble on a particular outcome of a situation. In this case the outcome of a football match.
However wagering in such a manner is a violation of state staute. So this is an illegal activity.
Jock and Kyla deposit funds for the wager with Len. Before the bet of Kyla changes her mind she can recover the money she deposited.
Len will not be able to withhold he deposit because she can sue and claim this is an illegal activity that she does not want to be part of. Len will be forced.to return at least her own money.
The risk-free rate of return is 3.2 percent and the market risk premium is 4.6 percent. What is the expected rate of return on a stock with a beta of 2.12
Answer:
12.95%
Explanation:
The risk free rate of return is 3.2%
The market risk premium is 4.6%
The beta is 2.12
Therefore, the expected rate of return on a stock can be calculated as follows
= 3.2% + (2.12×4.6%)
= 3.2% + 9.752
= 12.95%
Hence the expected rate of return on a stock is 12.95%
Mr. Dow bought 100 shares of stock at $17 per share. Three years later, he sold the stock for $23 per share. What is his annual rate of return
Answer:
10.60%
Explanation:
The compound annual growth rate formula stated below can be used to determine the annual rate of return on the stock investment.
CAGR=(future value/present value)^(1/n)-1
future value is the future worth of the stock after three years i.e100*$23=$2300
Present value is the initial cost of the stock which is 100*$17=$1700
n is the number of years the stocks have been owned
CAGR=($2300/$1700)^(1/3)-1=10.60%
What problems does the Singaporean system of emphasizing health savings accounts most directly address?
Answer:
I. The funding gap in the health care sector
II. Universal health care coverage
III. Access to medical care
Explanation:
The Singaporean health care savings account system has really helped to solve the problems associated with health care funding in the country, it has also helped the country to attain a universal health care for its citizens as it was rated in 2014 by Bloomberg as the country with the most efficient health care system in the world. The system has helped to address the issues of non-catastrophic health outcomes and helped to increase the life expectancy of its citizens.
A government bond with a coupon rate of 5% makes semiannual coupon payments on January 12 and July 12 of each year. The Wall Street Journal reports the asked price for the bond on January 27 at $1,004.375. What is the invoice price of the bond? The coupon period has 182 days.
Answer:
invoice price (dirty price) = $1,006.435
Explanation:
semi-annual coupon = $1,000 x 5% x 1/2 = $25
clean price = $1,004.375
accrued interest = (Jan. 27 - Jan. 12) x $25 x 1/182 = $2.06
invoice price (dirty price) = clean price + accrued interest = $1,004.375 + $2.06 = $1,006.435
the dirty price or invoice price of a bond includes any accrued interest that the bond may have earned in the period between the last coupon payment and the transaction date.
Which statement thanks respondent for their participation, describes how incentives are received, and reassures them of the confidentiality of their responses
Answer:
Closing statement
Explanation:
Hope it helped
HighLife Corporation has the following information: Average demand = 30 units per day Average lead time = 40 days Item unit cost = $45 for orders of less than 400 units Item unit cost = $40 for orders of 400 units or more Ordering cost = $50 Inventory carrying cost = 15 percent The business year is 300 days. Standard deviation of demand during lead time = 90 Desired service level = 95 percent What is the EOQ if HighLife pays $45/unit? Due to possible differences in rounding, choose the closest answer.\
Answer:
365.15 units
Explanation:
The computation of the economic order quantity is shown below:
[tex]= \sqrt{\frac{2\times \text{Annual demand}\times \text{Ordering cost}}{\text{Carrying cost}}}[/tex]
where,
Annual demand is
= 30 units × 300 days
= 90,000 units
ordering cost is $50
Carrying cost is
= $45 × 15%
= $6.75
Now placing these values to the above formula
So, the economic order quantity is
[tex]= \sqrt{\frac{2\times \text{90,000}\times \text{\$50}}{\text{\$6.75}}}[/tex]
= 365.15 units
We simply applied the above formula so that the EOQ could come
Anderson International Limited is evaluating a project in Erewhon. The project will create the following cash flows:
Year Cash Flow
0 160,000
1 335,000
2 400,000
3 295,000
4 250,000
All cash flows will occur in Erewhon and are expressed in dollars. In an attempt to Improve its economy, the Erewhonian government has declared that all cash flows created by a foreign company are "blocked" and must be reinvested with the government for one year. The reinvestment rate for these funds is 4 percent.
If Anderson uses a required return of 7 percent on this project, what are the NPV and IRR of the project? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. Enter your IRR as a percent.)
NPV
IRR %
Answer:
since the positive cash flows are blocked for one year, you have to adjust your cash flows:
year cash flow
0 -$160,000
1 $0
2 $348,400
3 $416,000
4 $306,800
5 $260,000
discount rate = 7%
using a financial calculator:
NPV = -$160,000 + $1,063,318.63 = $903,318.63
IRR = 102.94%
In marketing his wooden pens and pencils to specialty-shop customers. What marketing straregy Roben was using and why?
Answer:
concentrated marketing
A one-month summary of manufacturing costs for Rapid Routers Company follows.
Direct materials $40,000
Direct labour 20,000
Material handling costs 1,500
Product inspection and rework 2,000
Materials purchasing and inspection 500
Routine maintenance and equipment servicing 1,200
Repair of equipment 300
Required:
Classify each cost as value-added or non-value-added
Answer:
Cost Classification
Direct materials Value added
Direct labor Value added
Material handling costs Non-value added
Product inspection and rework Non-value added
Materials purchasing and inspection Value added
Routine maintenance and equipment Non-value added
servicing
Repair of equipment Non-value added
The simple rate of return is also called all of the following except ________. annual rate of return unadjusted rate of return accounting rate of return
Answer: annual rate of return
Explanation:
The simple rate of return is also called the unadjusted rate of return or the accounting rate of return.
The simple rate of return is calculated when the incremental net operating income for the year is taken and then divided by the initial investment.
It should be noted that it's not called the annual rate of return.
The management of Nebraska Corporation is considering the purchase of a new machine costing $490,000. The company's desired rate of return is 10%. The present value factors for $1 at compound interest of 10% for 1 through 5 years are 0.909, 0.826, 0.751, 0.683, and 0.621, respectively. In addition to the foregoing information, use the following data in determining the acceptability: Year Income from Operations Net Cash Flow 1 $100,000 $180,000 2 40,000 120,000 3 40,000 100,000 4 10,000 90,000 5 10,000 120,000 The average rate of return for this investment is a.58% b.16% c.10% d.18%
Answer:
The average rate of return of this investment is 8%.
Note: Based on the information provided in the question, the average rate of return of this investment is 8% but it is not included in the option. Kindly confirm this from your teacher.
Explanation:
Note: The data in the question are merged and they therefore first sorted before answering the question as follows:
Year Income from Operations Net Cash Flow
1 $100,000 $180,000
2 40,000 120,000
3 40,000 100,000
4 10,000 90,000
5 10,000 120,000
The explanations to the answer is now given as follows:
Calculation of the average rate of return for this investment
Average rate of return (ARR) is a financial ratio that is used to determine the rate of return that is expected from an asset over its lifetime. ARR is calculated as the total income from the assets divided by the initial investment on the assets.
The average rate of return for this investment can be calculated as follows:
Total income form operations over five years = $100,000 + $40,000 + $40,000 $ $10,000 + $10,000 = $200,000
Average income = Total income form operations over five years / Number of years = $200,000 / 5 = $40,000
Average rate of return for this investment = Average income / Cost of Machine = $40,000 / $490,000 = 0.08, or 8%
Therefore, the average rate of return is 8%.
You are considering two ways of financing a spring break vacation. You could put it on your credit card, at 17% APR, compounded monthly, or borrow the money from youe parents, who want an interest payment of 6% every six months. which is the lower rate? (Dont round intermediate steps to decimal places)
Answer: Parent's rate is lower.
Explanation:
The lower rate will be the lower Effective Annual rate, the formula of which is;
[tex]EAR = (1 + interest rate/compounding frequency) ^{compounding frequency} - 1[/tex]
Credit Card
[tex]EAR = (1 + interest rate/compounding frequency) ^{compounding frequency} - 1[/tex]
[tex]EAR = (1 + interest rate/compounding frequency) ^{compounding frequency} - 1\\= ( 1 + \frac{0.17}{12})^{12} - 1\\= 0.184[/tex]
= 18.4%
From your parents
[tex]EAR = (1 + interest rate/compounding frequency) ^{compounding frequency} - 1\\= ( 1 + 0.07) ^{2} - 1\\= 0.1449[/tex]
= 14.5%
Parent's rate is lower.
The Sprint vs. Verizon ads that compare the features and pricing of the two networks are examples of competitive advertising. True False
Answer:
True
Explanation:
They are trying to win over customers by comparing each others features in a competition
Competitive advertising is demonstrated by the Sprint vs. Verizon adverts, which compare the functionality and pricing of the two networks. So, it is a true statement.
What is competitive advertising?Competitive advertising is the act of showcasing or promoting one's product in comparison to the product of another company.
This form of marketing can be used to target customers who are devoted to the other brand, prompting them to reassess their purchasing patterns.
The three types of competitive advertising are:
ComparativeReminderReinforcementFor more information about competitive advertising, refer below
https://brainly.com/question/3463451
What is the expected annual capital gain yield for Orange Corp stock, based on the Constant Dividend Growth Model
Complete Question:
What is the expected annual capital gain yield for Orange Corp stock, based on the Constant Dividend Growth Model? The company plans to pay an annual dividend of of $4.12 per share in one year. The expected annual growth rate of the dividend is 12.9%, and the required rate of return for the stock is 16.63%. Answer as a percentage, 2 decimal places (e.g., 12.34% as 12.34).
Answer:
12.9%
Explanation:
As we know that:
Capital Gain Yield = (P1 - P0) / P0
Step 1: Find P0
Po = D1 / (Ke - g)
Here
D1 is $4.12 per share
Ke is 16.63%
g is 12.9%
By putting values, we have:
Po = $4.12 / (16.63% - 12.9%)
= $110.46
Step 2: Find P1
P1 = D2 / (Ke - g)
Here
D2 = D1 * (1 + 12.9%) = $4.12 per share * (1 + 12.9%) = $4.65
Ke is 16.63%
g is 12.9%
By putting values, we have:
Po = $4.65 / (16.63% - 12.9%)
= $124.70
Step3: Find Annual Capital Gain Yield
Capital Gain Yield = (P1 - P0) / P0
Now by putting values, we have:
Capital Gain Yield = ($124.7 - $110.46) / $110.46
= 12.9%
Discount-Mart issues $18 million in bonds on January 1, 2021. The bonds have a eight-year term and pay interest semiannually on June 30 and December 31 each year. Below is a partial bond amortization schedule for the bonds: Date Cash Paid Interest Expense Increase in Carrying Value Carrying Value 01/01/2021 $ 16,180,939 06/30/2021 $ 900,000 $ 970,856 $ 70,856 16,251,795 12/31/2021 900,000 975,108 75,108 16,326,903 06/30/2022 900,000 979,614 79,614 16,406,517 12/31/2022 900,000 984,391 84,391 16,490,908 What is the carrying value of the bonds as of December 31, 2022
Answer:
Discount-Mart
The carrying value of the bonds as of December 31, 2022 is:
$16,490,908
Explanation:
a) Data and Calculations:
Bonds issued = $18 million
Date of issue = Jan. 1, 2021
Bond term = 8 years
Interest payable on June 30 and December 31 each year.
b) Partial bond amortization schedule for the bonds:
Date Cash Paid Interest Expense Increase in Carrying Value
Carrying Value
01/01/2021 $ 16,180,939
06/30/2021 $ 900,000 $ 970,856 $ 70,856 16,251,795
12/31/2021 900,000 975,108 75,108 16,326,903
06/30/2022 900,000 979,614 79,614 16,406,517
12/31/2022 900,000 984,391 84,391 16,490,908
b) The carrying value of the bond is the net amount between the par value of $18 million and the unamortized premium or discount. It is this value that is reported on the balance sheet.
Mullineaux Corporation has a target capital structure of 70 percent common stock, 5 percent preferred stock, and 25 percent debt. Its cost of equity is 11 percent, the cost of preferred stock is 5 percent, and the pretax cost of debt is 7 percent. The relevant tax rate is 35 percent. What is Mullineaux WACC
Answer:
Mullineaux Corporation
WACC (Weighted Average Cost of Capital):
WACC = (11% of 70%) + (5% of 5%) + (7% of 25%) (1 - 35%)
= 0.077 + 0.0025 + 0.0175(65%)
= 0.09087
= 9.1%
Explanation:
Target Capital Structure:
Common stock = 70%
Preferred stock = 5%
Debt = 25%
Total = 100%
Cost of:
Equity = 11%
Preferred stock = 5%
Debt (pretax) = 7%
Tax rate = 35%
Mullineaux's WACC is the weighted average cost of its capital sources, including equity and debt. It means that Mullineaux Corporation has to weigh each class of capital based on their capital structure weights in order to calculate the average. This WACC therefore represents the hurdle rate which a project must meet for Mullineaux Corporation to accept or reject the project.
Och, Inc., is considering a project that will result in initial aftertax cash savings of $1.75 million at the end of the first year, and these savings will grow at a rate of 2 percent per year indefinitely. The firm has a target debt-equity ratio of .8, a cost of equity of 11.5 percent, and an aftertax cost of debt of 4.3 percent. The cost-saving proposal is somewhat riskier than the usual projects the firm undertakes; management uses the subjective approach and applies an adjustment factor of +3 percent to the cost of capital for such risky projects. What is the maximum initial cost the company would be willing to pay for the project?
Answer:
$18,191,268.19
Explanation:
the company's WACC = (weight of equity x Re) + (weight of debt x after tax cost of debt) = (0.6 x 11.5%) + (0.4 x 4.3%) = 6.9% + 1.72% = 8.62%
discount rate adjustment factor = 8.62% + 3% = 11.62%
to determine the value of the project:
$1,750,000 / (11.62% - 2%) = $1,750,000 / 9.62% = $18,191,268.19
If the initial outlay is $18,191,268.19, then the project's NPV = $0. This is the maximum amount that the firm should be willing to invest in this project.
Consider a firm Theta that spends $60 to produce goods in year 1. In year 2 it sells these goods for $100, but its customers pay their bills with a delay, therefore the payment is not received until year 3. What's the amount of net income recorded on the income statement for each year?
Answer:
Theta
Amount of net income for each year:
Year 1 = $0
Year 2 = $40 ($100 - $60)
Year 3 = $0
Explanation:
The net income to be recorded in Theta's income statement depends on the period in which revenue is recorded. In year 1, Theta would accumulated Ending Inventory of $60 being the cost of its finished goods inventory. Since it has not made any sales, there is no net income to record, which is always the difference between revenue and cost of goods or services sold. In year 2, the actual sales revenue was made and recorded in the accounts. This is the period for Theta to calculate its profit against the cost of goods sold. In year 3 when cash payment was received from customers, the accounts of Theta would record the receipt only in settlement of the customer debt. This transaction does not affect the revenue or the cost of goods sold, two important elements for determining the profit made.
Activity-Based Costing: Selling and Administrative Expenses Jungle Junior Company manufactures and sells outdoor play equipment. Jungle Junior uses activity-based costing to determine the cost of the sales order processing and the customer return activity. The sales order processing activity has an activity rate of $20 per sales order, and the customer return activity has an activity rate of $100 per return. Jungle Junior sold 2,500 swing sets, which consisted of 750 orders and 80 returns.
Required:
a. Determine the total sales order processing and customer return activity cost for swing sets.
b. Determine the per-unit sales order processing and customer return activity cost for swing sets. Round your answer to the nearest cent.
Answer: 1}ToTAL Activity cost =$23,000
2a) Sales order Processing Activity per unit sale=$6.00
2b)customer return activity per unit sale=$3.20
Explanation:
a. total sales order processing and customer return activity cost for swing sets
Sales order Processing Activity =Number of orders x rate per sales order
=750 x 20 = $15,000
customer return activity = Number of returns x rate per return
= 80 x 100= $8,000
ToTAL Activity cost = Sales order Processing Activity +customer return activity= $15,000 + $8000 = $23,000
b)per-unit sales order processing and customer return activity cost for swing sets
Cost of Sale order processing = $15,000
Number of swing set sold = 2,500
Therefore Sales order Processing Activity per unit sale = Cost of Sale order processing/ Number of swing set sold = $15,000/ 2,500= $6.00
customer return activity cost = $8,000
Number of swing set sold = 2,500
Therefore customer return activity per unit sale= customer return activity cost / Number of swing set sold = $8,000/ 2,500= $3.20
ToTAL Activity cost per unit sale = Sales order Processing Activity cost per unit +customer return activity cost per unit = $6.00 + $3.20 = $9.20
The twentieth century saw an accelerating shift from traditional manufacturing activities to production procedures requiring large investments in raw materials and labor.
a. True
b. False
Answer:
true
Explanation:
Company ABC is required to pay their customers $20,000 after 3 years. Based on an annual effective interest rate of 4%, Andy, the company’s actuary, uses full immunization strategy to construct a portfolio of assets using a 2-year zero-coupon bond and a 4-year zero-coupon bond. Calculate the par amount for the 2-year zero-coupon bond assuming full immunization is met.
Answer:
Par amount = $9,615.39
Explanation:
The condition that must hold in order to meet full immunization are as follows:
Condition 1: PV(assets) = PV(liabilities)
Condition 2: MD(assets) = MD(liabilities) or P'assets = P'liabilities
Condition 3: There is one asset cash inflow before the liability cash outflow, and there is also one asset cash inflow after the liability cash outflow.
Where PV denotes Present Value and MD denotes Macaulay Duration.
PV(liabilities) = Amount required to pay / (1 + i)^n ............ (1)
Where;
Amount required to pay = $20,000
i = interest rate = 4%
n = number of years after = 3 years
Substituting the values into equation (1), we have:
PV(liabilities) = $20,000 / (1 + 4%)^3 = 17,779.93
Let;
A = Weight of two-year-zero-coupon bond in the portfolio
n = Macaulay Duration of n-year-zero-coupon bond
Therefore, we can construct a portfolio of assets using a 2-year zero-coupon bond and a 4-year zero-coupon bond as follows:
A(2) + (1 – A)(4) = 3
2A + 4 – 4A = 3
2A – 4A = 3 – 4
-2A = - 1
A = -1/-2
A = 0.5
We can now calculate the par amount as follows:
Par amount = PV(liabilities) * A * (1 + i)^t .............. (2)
Where t = 2 as the duration of the bond
Substituting the values into equation (2), we have:
Par amount = 17,779.93 * 0.5 * (1 + 4%)^2
Par amount = 17,779.93 * 0.5 * 1.04^2
Par amount = 17,779.93 * 0.5 * 1.0816
Par amount = $9,615.39
Therefore, the par amount for the 2-year zero-coupon bond assuming full immunization is met is $9,615.39.
