The net present value (NPV) of the investment is -$66.82.
The initial cost of an investment is $150. Operating cash flows are projected to be $35 in Year 0 and $130 in Year 1. Net working capital has no effect, and the terminal cash flow is zero. A 10% discount rate is used for this calculation.
The table given in the question helps to illustrate the cash inflows and outflows at the beginning and end of each year. Let us try to solve the problem using the NPV formula. The formula for calculating NPV is given as:
NPV = ∑ (CFt ÷ (1+r)t) - C0Where,CFt = expected cash flow in period t;
r = discount rate;
t = time period (usually years);
C0 = initial investment.
The year 0 cash flow is a $150 investment, which can be expressed as -$150. The net cash inflows in Year 1 are $130, while the net cash outflows in Year 0 are $35 (given in the "Net Cash Flow" column).
NPV = -150 + (130 / (1+0.1)^1) + (-35 / (1+0.1)^0)
NPV = -150 + 118.18 - 35
NPV = -$66.82
Therefore, the net present value (NPV) of the investment is -$66.82.
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The following cost breakdown is available for a property situated on the North Shore in Sydney: land $1 124 000; excavation $51 300; foundation $47 250; framing $162 300; corrugated steel exterior wall $167 500; brick facade (glass) $56 000; floor furnishing concrete $61 000; interior finish $28 900; lighting, fixtures and electrical work $45 000; plumbing $114 500; heating/air-conditioning $100 225; parking $32 000; solicitor, architect and accountant fees $250 000. Using the summation method, find the value of the property.
The value of the property, based on the given costs breakdown using the summation method, is $2,189,975.
To find the value of the property using the summation method, we need to sum up all the costs associated with the property. Let's calculate the total value:
Land: $1,124,000
Excavation: $51,300
Foundation: $47,250
Framing: $162,300
Corrugated steel exterior wall: $167,500
Brick facade (glass): $56,000
Floor furnishing concrete: $61,000
Interior finish: $28,900
Lighting, fixtures, and electrical work: $45,000
Plumbing: $114,500
Heating/air-conditioning: $100,225
Parking: $32,000
Solicitor, architect, and accountant fees: $250,000
Total Value = $1,124,000 + $51,300 + $47,250 + $162,300 + $167,500 + $56,000 + $61,000 + $28,900 + $45,000 + $114,500 + $100,225 + $32,000 + $250,000
Calculating the sum:
Total costs = $2,189,975
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The spot price of an investment asset that provides no income is $30 and the risk-free rate for all maturities (with continuous compounding) is 10%. Show all work.
a. What, to the nearest cent, is the three-year forward price?
b. Assume that the asset provides an income of $2 at the end of the first year and at the end of the second year. What is the three-year forward price?
a. The three-year forward price, without any income from the asset, is approximately $40.46.
b. Considering an income of $2 at the end of the first and second year, the three-year forward price is approximately $43.50.
a. To calculate the three-year forward price without any income, we can use the formula:
Forward Price = Spot Price * e^(risk-free rate * time)
where e represents the mathematical constant Euler's number.
Using the given values:
Spot Price = $30
Risk-free rate = 10% = 0.10
Time = 3 years
Forward Price = $30 * e^(0.10 * 3)
Forward Price ≈ $40.46
b. If the asset provides an income of $2 at the end of the first and second year, we need to adjust the calculation. The forward price formula becomes:
Forward Price = (Spot Price - Present Value of Income) * e^(risk-free rate * time)
Calculating the present value of $2 at the end of each year:
PV of $2 at the end of Year 1 = $2 / (1 + 0.10)^1 ≈ $1.82
PV of $2 at the end of Year 2 = $2 / (1 + 0.10)^2 ≈ $1.65
Substituting the adjusted values into the forward price formula:
Forward Price = ($30 - $1.82 - $1.65) * e^(0.10 * 3)
Forward Price ≈ $43.50
a. The three-year forward price without any income from the asset is approximately $40.46.
b. Considering an income of $2 at the end of the first and second year, the three-year forward price is approximately $43.50.
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"A price-taking firm has a supply curve but a monopolist does
not", explain clearly the reason behind this statement.
A price-taking firm has a supply curve but a monopolist does not because a price-taking firm is a small organization that is a price taker rather than a price maker.
A monopoly, on the other hand, is a firm that controls a large portion of the market and is therefore able to set its own prices. As a result, the supply curve for a price-taking firm is upward sloping, whereas the supply curve for a monopolist is perfectly elastic.The supply curve for a price-taking firm is determined by the interaction of market demand and production costs. Since the price-taking firm is such a small player in the market, it has little to no effect on the market price, which is determined by the overall market demand. As a result, the price-taking firm must accept the market price and produce the quantity of goods that maximizes its profit at that price level.The supply curve for a monopolist, on the other hand, is perfectly elastic since the monopolist is the sole supplier in the market. As a result, the monopolist has complete control over the price of the good, and it can set the price wherever it wishes in order to maximize its profits. As a result, the monopolist does not have a supply curve since it does not have to consider the interaction of market demand and production costs when making pricing decisions.
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why do you think tata motors has chosen to expand into foreign markets using exports rather than local manufacturing as a main mechanism of getting its product to new markets?
Tata Motors has chosen to expand into foreign markets using exports rather than local manufacturing as a primary mechanism of getting its product to new markets due to several reasons.
Firstly, exporting enables Tata Motors to increase its market reach without the need to set up production facilities in other countries. This significantly reduces their initial investment costs. Secondly, exporting enables Tata Motors to penetrate foreign markets where local manufacturers are either too expensive or too low quality.
The company has been doing this for several reasons. Exporting provides an opportunity for Tata Motors to increase its market reach without investing in production facilities in other countries. Exporting also enables the company to penetrate foreign markets where local manufacturers are either too expensive or too low quality.
Additionally, exporting allows Tata Motors to leverage its expertise in the Indian market to develop and improve its product line. This product line can be exported to other markets where the company wants to expand.
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The following data relate to the direct materials cost for the production of 2,500 automobile tires:
Actual: 61,500 lb. at $1.75 Standard: 60,300 lb. at $1.70
Determine the direct materials price variance, direct materials quantity variance, and total direct materials cost variance.
Direct materials price variance is the variance between the standard price and the actual price.
Direct materials cost variance analysis is a tool that helps to determine the reasons for variations between actual costs and standard costs. Variance analysis is a process of comparing actual performance with planned performance. By comparing actual costs with standard costs, we can determine whether the actual costs are favorable or unfavorable. If the actual costs are favorable, it means that the actual costs are lower than the standard costs. If the actual costs are unfavorable, it means that the actual costs are higher than the standard costs. The direct materials cost variance can be divided into two variances: direct materials price variance and direct materials quantity variance.
Direct materials price variance is the variance between the standard price and the actual price. The standard price is the price that should have been paid for a given quantity of direct materials. The actual price is the price that was actually paid for a given quantity of direct materials. Direct materials price variance is calculated as follows:Direct materials price variance = (Standard price - Actual price) x Actual quantityDirect materials quantity variance is the variance between the standard quantity and the actual quantity. The standard quantity is the quantity of direct materials that should have been used in the production of a given quantity of finished goods.
The actual quantity is the quantity of direct materials that was actually used in the production of a given quantity of finished goods. Direct materials quantity variance is calculated as follows:Direct materials quantity variance = (Standard quantity - Actual quantity) x Standard priceTotal direct materials cost variance is the variance between the standard cost and the actual cost. The standard cost is the cost that should have been incurred for a given quantity of direct materials. The actual cost is the cost that was actually incurred for a given quantity of direct materials. Total direct materials cost variance is calculated as follows:Total direct materials cost variance = (Standard quantity x Standard price) - (Actual quantity x Actual price)
Direct materials cost variance analysis is an important tool for managing costs. It helps managers to determine the reasons for variations between actual costs and standard costs. By comparing actual costs with standard costs, we can determine whether the actual costs are favorable or unfavorable. Direct materials cost variance can be divided into two variances: direct materials price variance and direct materials quantity variance. Direct materials cost variance analysis is a continuous process that helps managers to improve their decision-making.
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Suppose that two roommates are buying plants for their apartment. Chuck (denoted with "C") and Judy (denoted with "J") would each gain the marginal benefits as a function of the quantity of plants purchased (Q) given by:
MBᴄ = 20 - Q
MBᴊ = 30 - 20
However, each individual plant costs money, with the marginal cost of each unit given by:
MC = 4 +0.25Q
Given these marginal benefit curves and the marginal cost curve:
1. What is the maximum quantity that would be purchased in the private market?
2. What is the socially optimal quantity to purchase?
3. What is the Total Surplus generated in the private market equilibrium?
4. What is the Total Surplus generated in the socially optimal equilibrium?
The Total Surplus generated in the socially optimal equilibrium is 82.5
To determine the maximum quantity that would be purchased in the private market, we need to find the quantity at which the marginal benefit (MB) equals the marginal cost (MC).
MBᴄ = MC
20 - Q = 4 + 0.25Q
Combining like terms:
1.25Q = 16
Q = 12.8
Since Q represents the quantity of plants, it cannot be a fraction. Therefore, the maximum quantity that would be purchased in the private market is 12 plants.
The socially optimal quantity to purchase is the quantity at which the total surplus is maximized. This occurs when the marginal benefit equals the marginal cost for society as a whole.
MBᴄ + MBᴊ = MC
(20 - Q) + (30 - 2Q) = 4 + 0.25Q
Combining like terms:
50 - 3Q = 4 + 0.25Q
Simplifying the equation:
3.25Q = 46
Q = 14.15
Again, since Q represents the quantity of plants, it cannot be a fraction. Therefore, the socially optimal quantity to purchase is 14 plants.
To calculate the Total Surplus generated in the private market equilibrium, we need to find the area of the consumer surplus and producer surplus.
Consumer Surplus:
The consumer surplus is the area between the demand curve and the price line at the private market equilibrium quantity.
Consumer Surplus = (1/2) * (Q * MB)
= (1/2) * (12 * (20 - 12))
= 48
Producer Surplus:
The producer surplus is the area between the supply curve and the price line at the private market equilibrium quantity.
Producer Surplus = (1/2) * (Q * MC)
= (1/2) * (12 * (4 + 0.25 * 12))
= 39
Total Surplus = Consumer Surplus + Producer Surplus
= 48 + 39
= 87
Therefore, the Total Surplus generated in the private market equilibrium is 87.
To calculate the Total Surplus generated in the socially optimal equilibrium, we need to find the area of the consumer surplus and producer surplus at the socially optimal quantity.
Consumer Surplus = (1/2) * (Q * MB)
= (1/2) * (14 * (20 - 14))
= 42
Producer Surplus = (1/2) * (Q * MC)
= (1/2) * (14 * (4 + 0.25 * 14))
= 40.5
Total Surplus = Consumer Surplus + Producer Surplus
= 42 + 40.5
= 82.5
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Cyber Tires would like to start a new project which will be as risky as the company's current projects. For this new project, the company plans to raise money by selling new equity, new preferred stock shares, and new debt in the following amounts: $778,000, $222,000, and $496,000. The annual costs of equity, preferred stock, and debt equal 12%, 7%, and 3%, respectively. Cyber Tires falls into 39% corporate income tax bracket. Calculate Cyber Tires' average annual cost of running its tire business, also known as the Weighted Average Cost of Capital
The Weighted Average Cost of Capital (WACC) for Cyber Tires is 8.89%.
What is Cyber Tires' Weighted Average Cost of Capital (WACC)?The Weighted Average Cost of Capital (WACC) is a financial metric used to assess the average annual cost of capital for a company. In the case of Cyber Tires, the company plans to raise money through selling new equity, new preferred stock shares, and new debt.
The respective amounts for each source of funding are $778,000, $222,000, and $496,000. The annual costs of equity, preferred stock, and debt are 12%, 7%, and 3% respectively. Taking into account the corporate income tax bracket of 39%, the WACC calculation involves weighting the costs of each source of funding by their respective proportions and accounting for the tax implications.
By determining the WACC, Cyber Tires can assess the average annual cost associated with running its tire business and use it as a benchmark for evaluating potential investment opportunities. So the Weighted Average Cost of Capital (WACC) for Cyber Tires is 8.89%.
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Significant noncash financing transactions Multiple-Choice (2.5 Points) O A. Should not be disclosed in the body of a statement of cash flows but should appear elsewhere C B. Are deducted from netincome to determine cash provided by operating activities on a :tatement of cash flows C C. Should not be disclosed at all since they are irrelevant to actual performance O D. Are included parenthetically on a statement of cash flow:
1A. Should not be disclosed in the body of a statement of cash flows but should appear elsewhere. Significant noncash financing transactions refer to transactions that involve the issuance or retirement of debt or equity instruments, but do not directly involve cash.
In a statement of cash flows, the primary purpose is to report the cash inflows and outflows from operating, investing, and financing activities. Noncash financing transactions, although significant, are not included in the body of the statement of cash flows because they do not involve the actual flow of cash.
However, it is important to disclose these significant noncash financing transactions in the financial statements or footnotes. They should be reported separately to provide transparency and ensure that users of the financial statements have a complete understanding of the company's financial position and the impact of these transactions.
Examples of significant noncash financing transactions include the conversion of debt into equity, the issuance of stock for the acquisition of assets or other businesses, the retirement of debt through the issuance of equity, and the issuance of debt in exchange for assets.
By disclosing these transactions elsewhere in the financial statements or footnotes, users can assess the impact of these noncash financing activities on the company's overall financial performance and make more informed decisions.
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___ occurs when sellers agree informally or formally to set floor prices below which they will not sell on auction items. A) Discriminatory pricing B) Price matching C) Bid rigging D) Distress pricing
c) bid rigging.. occurs when sellers agree informally or formally to set floor prices below which they will not sell on auction items.
c) bid rigging occurs when sellers agree informally or formally to set floor prices below which they will not sell on auction items.
bid rigging is an illegal practice in which competitors collude to manipulate the bidding process in order to maintain higher prices and reduce competition. it typically involves sellers conspiring to establish minimum prices (floor prices) for auction items, ensuring that the final bids do not fall below these predetermined levels.
by setting floor prices, the sellers eliminate the possibility of genuine competitive bidding, artificially inflate prices, and restrict the ability of buyers to obtain goods or services at lower prices. this anti-competitive behavior harms the market by reducing consumer choice and limiting price competition.
the other s are not directly related to bid rigging:
a) discriminatory pricing refers to pricing strategies where sellers charge different prices to different customers based on factors such as location, demographics, or purchasing power.
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c) The Atony Ltd. company raised $1.5m through a 10-year bond issue on the 31st of December 2020. The bond pays 3.4% per annum in coupons, with coupons paid quarterly. Calculate the price of the bond on the 12th of August 2025, given a market yield of 4.5% per annum. In your answer, identify whether the bond is trading at a discount or a premium, and explain the logic as to why this is the case.
The bond is trading at a premium due to its price being higher than the face value.
To calculate the price of the bond on the 12th of August 2025, we can use the present value formula for a bond with periodic coupon payments:
[tex]\[P = \sum_{t=1}^{n} \frac{{C}}{{(1+r)^t}} + \frac{{F}}{{(1+r)^n}}\][/tex]
Where:
[tex]\(P\)[/tex] is the price of the bond,
[tex]C[/tex] is the coupon payment,
[tex]r[/tex] is the market yield per period,
[tex]n[/tex] is the total number of periods, and
[tex]F[/tex] is the face value of the bond.
Given:
Face value [tex](\(F\))[/tex] = $1.5m
Coupon rate = 3.4% per annum
Market yield [tex](\(r\))[/tex] = 4.5% per annum
Number of periods [tex](\(n\))[/tex] = 10 years (40 quarterly periods)
First, let's calculate the coupon payment [tex](\(C\))[/tex] per quarter:
Coupon rate per quarter [tex]= 3.4\% / 4 = 0.85%[/tex] per quarter
Coupon payment[tex](\(C\)) = 0.0085 * $1.5m = $12,750[/tex] per quarter
Next, let's calculate the price of the bond on the 12th of August 2025. We need to find the present value of each coupon payment and the face value at the given market yield.
[tex]\[P = \sum_{t=1}^{40} \frac{{C}}{{(1+r)^t}} + \frac{{F}}{{(1+r)^n}}\]\[P = \sum_{t=1}^{40} \frac{{12750}}{{(1+0.045/4)^t}} + \frac{{1.5m}}{{(1+0.045/4)^{40}}}\][/tex]
Let's calculate the price of the bond using this formula.
[tex]\[P = \frac{{12750}}{{(1+0.045/4)^1}} + \frac{{12750}}{{(1+0.045/4)^2}} + \ldots + \frac{{12750}}{{(1+0.045/4)^{40}}} + \frac{{1.5m}}{{(1+0.045/4)^{40}}}\][/tex]
Now we can evaluate this expression using a calculator or spreadsheet software to find the price of the bond on the 12th of August 2025.
[tex]\[P \approx \$1,562,070.60\][/tex]
The price of the bond on the 12th of August 2025 is approximately $1,562,070.60.
To determine if the bond is trading at a discount or a premium, we compare the calculated price with the face value of the bond ($1.5m).
Since the calculated price is higher than the face value, i.e., $1,562,070.60 > $1.5m, the bond is trading at a premium. This is because the market yield (4.5%) is lower than the coupon rate (3.4%), making the bond more attractive to investors, and thus its price is higher than the face value.
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Assume that value of a company’s assets is V0 = 25 million and the volatility of asset value is σv = 0.25 per annum. The debt that will have to be repaid in two year is D = 18 million. The risk-free rate is 2% per annum, continuously compounded. Use Merton’s model to find the following. a. The equity value E0 and equity volatility σE (2 marks) b. The market value of debt D0, and the expected loss from default (2 marks) c. The probability of default and the recovery rate
The equity value E0 and equity volatility σE Using Merton's model, the equity value can be calculated using the formula:
E0 = V0 − D0 = V0 − D0exp[−(r + σE2/2)T + σEZ]
Where:V0 is the total asset valueD0 is the market value of debt T is the time to maturity r is the risk-free interest rate.
Z is the standard normal random variableσE is the equity volatility Using the given values,
V0 = 25 millionσ
v = 0.25
per annum D = 18
million r = 2% per annum
T = 2 years
E0 = 25 million - D
0exp[−(0.02 + σE²/2) × 2 + 0.25 × Z]Putting the values, we get,E0 = 9.714 + 8.286ZσE can be calculated as:σE = σv E0 / (E0 + D)Substituting the value of E0 and solving,σE = 0.7227 b. The market value of debt D0, and the expected loss from default The market value of debt, D0, can be calculated using the formula:D0 = Dexp[−rT] Substituting the given values,D0 = 16.5694The expected loss from default is given as: L = D × (1 − R) × N (d2).
Where: N (d2) is the probability of defaultd2 = [ln (D/E0) + (r − σE2/2)T] / (σE √T)R is the recovery rate Substituting the given values, L = 6.2764c. The probability of default and the recovery rate The probability of default is given by the formula: N (-d1)where:d1 = [ln (V0/D) + (r + σE2/2)T] / (σE √T)Substituting the given values, we get,d1 = -0.4480d2 = -0.7816N (-d1) = N (0.4480) = 0.3269The recovery rate, R can be calculated using the formula: R = (V0 - D0) / V0Substituting the values, R = 0.3312Therefore, the probability of default is 0.3269, and the recovery rate is 0.3312.
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According to its original plan, Gibson Consulting Services Company plans to charge its customers for service at $127 per hour in Year 2. The company president expects consulting services provided to c
To develop flexible budgets based on different service levels, we need to calculate the total costs for each level of service and then add the fixed costs to obtain the total budget.
How to solve for the flexible budgetGiven information:
Service rate: $127 per hour
Expected service hours: 49,000 hours
Variable cost per hour: $44
Fixed cost: $1,490,000
Service revenue 46,000 x 127 = $5,842,000 49,000 x 127 = $6,223,000 52,000 x 127 = $6,604,000
Variable costs 46,000 x 44 = $2,024,000 49,000 x 44 = $2,156,000 52,000 x 44 = $2,288,000
Contribution margin 3,818,000 4,067,000 4,316,000
Fixed costs 1,490,000 1,490,000 1,490,000
Net income $2,328,000 $2,577,000 $2,826,000
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Complete question
According to its original plan, Gibson Consulting Services Company plans to charge its customers for service at $127 per hour in 2018 The company president expects consulting services provided to customers to reach 49,000 hours at that rate. The marketing manager, however, argues that actual results may range from 46,000 hours to 52,000 hours because of market uncertainty. Gibson's standard variable cost is $44 per hour, and its standard fixed cost is $1,490,000. Required Develop flexible budgets based on the assumptions of service levels at 46,000 hours, 49,000 hours, and 52,000 hours. Flexible Budget Flexible Budget Flexible Budget 46,000 Hours 49,000 Hours 52.000 Hours
Which of the following statements are correct in regard to predatory pricing to induce exit of existing rival firms? Choose any and all correct statements.
a. Some economists, particularly of the Chicago-UCLA school of thought argue that merging with rivals is a better way to eliminate the competition as compared to predatory pricing.
b. With this pricing strategy, the predator firm lowers price below cost until the rival exits the market, at which point the predator will raise price to the monopoly level.
c. With this pricing strategy, the predator firm sets a low price even before entry that discourages any potential rivals from entering the market.
d. If there is free entry back into the market, this type of predatory pricing may not be feasible.
The correct statements in regard to predatory pricing to induce exit of existing rival firms are as follows:
b. With this pricing strategy, the predator firm lowers price below cost until the rival exits the market, at which point the predator will raise price to the monopoly level.
c. With this pricing strategy, the predator firm sets a low price even before entry that discourages any potential rivals from entering the market.
d. If there is free entry back into the market, this type of predatory pricing may not be feasible.
Predatory pricing is defined as a pricing strategy in which a company lowers the price of a product or service below its cost of production to drive out competitors.
The aim of predatory pricing is to eliminate competition by driving existing competitors out of the market. The predator firm is attempting to achieve a monopoly by pushing rivals out of the market so that it can raise its prices above competitive levels and maintain high profits.
The statements in regard to predatory pricing to induce exit of existing rival firms that are correct are:
b. With this pricing strategy, the predator firm lowers price below cost until the rival exits the market, at which point the predator will raise price to the monopoly level.
c. With this pricing strategy, the predator firm sets a low price even before entry that discourages any potential rivals from entering the market.
d. If there is free entry back into the market, this type of predatory pricing may not be feasible.
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If a developer plans to purchase a site for $150,000,000 on borrowed money at 6 per cent and then to start a development before selling the completed scheme in 3 years later when the capital spent on the land with rolled-up interest will need to be repaid to the bank. How much the bank will be expecting when the scheme is completed in 3 years' time?
The developer plans to purchase a site for $150,000,000 on borrowed money at 6% and then start development before selling the completed scheme 3 years later.
When the capital is spent on the land with rolled-up interest will need to be repaid to the bank. To find: How much the bank will be expecting when the scheme is completed in 3 years' time?
Calculation: Interest = P × r × there, P = $150,000,000;r = 6% = 0.06t = 3 years interest = $150,000,000 × 0.06 × 3= $27,000,000.
Total amount to be paid to the bank =borrowed money + Interest= $150,000,000 + $27,000,000= $177,000,000. The bank will be expecting $177,000,000 when the scheme is completed in 3 years' time.
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General Mills is authorized to issue 13 million, $1 par common shares. During 2021, its first year of operations, General Mills had the following transactions: January 1 sold 11 million shares at $18 per share. June 3 purchased 5 million shares of treasury stock at $21 per share December 28 sold the 5 million shares of treasury stock at $23 per share What amount should General Mills report as additional paid-in capital in its December 31, 2021, balance sheet? Multiple Choice O O O $203 million $187 million $197 million $155 million
The amount General Mills should report as additional paid-in capital in its December 31, 2021, balance sheet is $103 million. Hence, option C is the correct answer.
Given information: General Mills is authorized to issue 13 million, $1 par common shares. During 2021, its first year of operations, General Mills had the following transactions:
January 1 sold 11 million shares at $18 per share.
June 3 purchased 5 million shares of treasury stock at $21 per share.
December 28 sold the 5 million shares of treasury stock at $23 per share.
General Mills sold 11 million shares of common stock at $18 per share, so the total amount of the sale is:
$18 x 11,000,000 = $198,000,000
In June, General Mills purchased 5 million shares of treasury stock at $21 per share, so the total amount of the purchase is:
$21 x 5,000,000 = $105,000,000
On December 28, General Mills sold 5 million shares of treasury stock at $23 per share, so the total amount of the sale is:
$23 x 5,000,000 = $115,000,000
The additional paid-in capital is calculated as the difference between the total amount received from the sale of shares and the par value of the shares issued. We can calculate the total amount of paid-in capital as follows:
Total paid-in capital = (Number of shares sold × Selling price per share) + (Number of treasury shares sold × Selling price per share) - (Number of treasury shares purchased × Cost per share)
Total paid-in capital = (11,000,000 × 18) + (5,000,000 × 23) - (5,000,000 × 21)
Total paid-in capital = 198,000,000 + 115,000,000 - 105,000,000
Total paid-in capital = 208,000,000 - 105,000,000
Total paid-in capital = $103,000,000
Therefore, the amount General Mills should report as additional paid-in capital in its December 31, 2021, balance sheet is $103 million.
Hence, option C is the correct answer.
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(A) Explain the Bullwhip effect, using rough but neatly drawn graphs. (B) Explain what kinds of costs of the retailers, distributors, manufacturers, and suppliers that are affected by the Bullwhip effect?
(A) The Bullwhip effect: Demand amplification along the supply chain.
(B) Costs affected: Increased inventory, warehousing, transportation, and production inefficiencies.
A) The Bullwhip effect refers to the phenomenon where small fluctuations in customer demand can result in amplified variations in orders placed upstream in a supply chain. This effect causes the demand signal to become distorted and exaggerated as it travels from the end customer to the supplier. I'll explain the Bullwhip effect using a graph:
In the graph, the horizontal axis represents time, while the vertical axis represents the quantity of products ordered. The graph shows four lines representing the demand signal at different stages of the supply chain: retailer, distributor, manufacturer, and supplier. Initially, customer demand (retailer) experiences small fluctuations. However, as the signal travels upstream, the variations increase, resembling the shape of a bullwhip.
B) The Bullwhip effect impacts different costs within the supply chain. These costs include:
1. **Inventory Costs:** The Bullwhip effect leads to increased inventory costs at each stage of the supply chain. Fluctuations in demand result in excessive inventory buildup as each level tries to buffer against perceived demand variability.
2. **Ordering Costs:** The Bullwhip effect increases ordering costs for retailers, distributors, manufacturers, and suppliers. Larger and more frequent orders are placed due to distorted demand signals, leading to additional administrative and processing expenses.
3. **Transportation Costs:** Variations in demand caused by the Bullwhip effect can result in inefficient transportation utilization. Increased demand fluctuations may require more frequent shipments, leading to higher transportation costs.
4. **Production Costs:** Manufacturers experience higher production costs due to the Bullwhip effect. They must adjust their production schedules more frequently to meet fluctuating orders, which can lead to inefficiencies and increased setup costs.
5. **Suppliers' Costs:** Suppliers are affected by the Bullwhip effect through increased demand variability and uncertainty. They face challenges in capacity planning, raw material procurement, and production scheduling, resulting in higher costs.
Overall, the Bullwhip effect introduces inefficiencies and increased costs throughout the supply chain, affecting inventory, ordering, transportation, production, and suppliers' costs.
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Regarding the 6½% Senior Notes, Home and Office City Inc. also disclosed that
"The Company, at its option, may redeem all or any portion of the Senior Notes by notice to the holder. The Senior Notes are redeemable at a redemption price, plus accrued interest, equal to the greater of (1) 100% of the principal amount of the
Senior Notes to be redeemed or (2) the sum of the present values of the remaining scheduled payments of principal and interest on the Senior Notes to maturity."
Redeemable fixed-rate notes, such as those described here, are similar to callable term bonds. Thinking of the 6½% Senior Notes on this basis, would it have been possible for Home and Office City Inc. to redeem ("call") these notes for an amount
1. Below face value (at a discount)?
2. Above face value (at a premium)?
3. Equal to face value (at par)?
What circumstances would have been most likely to prompt Home and Office
City to redeem these notes?
Redeemable fixed-rate notes are bonds with a predetermined maturity date, but the bond issuer can "call" or buy the bond back before it matures.
Callable bonds enable issuers to minimize interest payments while refinancing at a cheaper cost in a falling interest-rate environment. Callable bonds can be traded at a premium to their face value when interest rates fall and at a discount when interest rates rise. Callable bonds are beneficial to the issuer because they have the right but not the obligation to pay the bond off early when the interest rate decreases.
It would have been possible for Home and Office City Inc. to redeem ("call") these notes for an amount below face value (at a discount). Circumstances that would have been most likely to prompt Home and Office City to redeem these notes are as follows:
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Intro You've assembled the following portfolio: 2+ decimals Stock Expected return Portfolio weight 1 8.4% 30% 2 12.1% 3 18.5% Part 1 What is the weight for stock 3 if you want to achieve an expected portfolio return of 15%? Submit Attempt 1/10 for 10 pts.
To calculate the weight for stock 3 in the portfolio to achieve an expected portfolio return of 15%, we can use the formula mentioned earlier. Let's proceed with the calculations:
Expected portfolio return = 15%
Weight of stock 1 = 30%
Expected return of stock 1 = 8.4%
Weight of stock 2 = ?
Expected return of stock 2 = 12.1%
Weight of stock 3 = ?
Expected return of stock 3 = 18.5%
Using the formula:
15% = (30% * 8.4%) + (Weight of stock 2 * 12.1%) + (Weight of stock 3 * 18.5%)
We can rearrange the equation to solve for the weight of stock 3:
15% - (30% * 8.4%) - (Weight of stock 2 * 12.1%) = Weight of stock 3 * 18.5%
Weight of stock 3 = (15% - (30% * 8.4%) - (Weight of stock 2 * 12.1%)) / 18.5%
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7. The Fabrication Division of New Haven Enterprises has excess capacity for part no. 656, which can be sold in an external market for $50. Fabrication's variable and fixed manufacturing cost for this
By selling part no. 656 in the external market, New Haven Enterprises would generate a contribution margin of $20 per unit.
Contribution margin per unit = Selling price per unit - Variable manufacturing cost per unit
Contribution margin per unit = $50 - $30
Contribution margin per unit = $20
The contribution margin is a financial metric that measures the profitability of a product or service by calculating the difference between the total revenue generated and the variable costs associated with producing or delivering that product or service. It represents the amount of money available to cover fixed costs and contribute to the company's operating income.
The contribution margin is particularly useful for decision-making purposes, as it helps businesses determine the financial impact of producing and selling a specific product or service. By comparing the contribution margin of different products or services, a company can identify which ones are the most profitable and make informed decisions regarding pricing, production levels, and product mix.
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Which of the following statements is a usefulness of the income statement? OA Evaluate the past performance of the enterprise. B. Income measurement involves judgment. OC Items that cannot be measured reliably are not reported. OD. Income numbers are affected by the accounting methods employed.
The purpose of the income statement is to evaluate the past performance of the enterprise. The correct option is A: evaluate the past performance of the enterprise.
What is an Income statement? An income statement, also known as a profit and loss statement or P&L, is a financial report that measures a company's financial performance during a specific accounting period. A company's income statement displays revenue, expenses, and net income or loss for that period.
Therefore, the usefulness of the income statement is to evaluate the past performance of the enterprise by providing information on how much revenue the company has earned and how much money it has spent to produce that revenue during a specific accounting period. The income statement is used by investors and analysts to evaluate a company's financial health and profitability.
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On January 1, 1993, Jacky Company (Parent' purchased 8,000 of the 10,000 ordinary shares of Jack Jack Company (Subsidiary) at underlying carrying amount. Jacky and Jack Jack's retained earnings on that date were P1,000,000 and P200,000 respectively. During 2021, the following data were ascertained:
a. Consolidated net income was P400,000.
b. Jacky Co. declared dividends of P100,000.
c. Jack Jack Co. had net income of P30,000 and declared dividends of P40,000.
d. There were no other intercompany transactions.
What is the amount of consolidated retained earnings at December 31, 2021?
A. 1.532,000
B. 1.300.000
C. 1.540.000
D. 1.284.000
It should be noted that the amount of consolidated retained earnings at December 31, 2021 is A. 1.532,000
How to calculate the amountTo calculate the consolidated retained earnings at December 31, 2021, we start with the retained earnings of the parent company, Jacky Co., at January 1, 2021, which is P1,000,000. We then add the consolidated net income for the year, which is P400,000. We then subtract the dividends declared by the parent company, which is P100,000. This gives us the retained earnings of the parent company at December 31, 2021, which is P1,300,000.
Next, we need to calculate the non-controlling interest in the subsidiary's retained earnings at December 31, 2021. To do this, we start with the subsidiary's retained earnings at January 1, 2021, which is P200,000. We then add the subsidiary's net income for the year, which is P30,000. We then subtract the dividends declared by the subsidiary, which is P40,000. This gives us the retained earnings of the subsidiary at December 31, 2021, which is P190,000.
We then multiply the non-controlling interest percentage by the subsidiary's retained earnings at December 31, 2021. The non-controlling interest percentage is 20% (10,000 shares - 8,000 shares / 10,000 shares). This gives us the non-controlling interest in the subsidiary's retained earnings at December 31, 2021, which is P38,000.
Finally, we add the parent company's retained earnings at December 31, 2021, which is P1,300,000, to the non-controlling interest in the subsidiary's retained earnings at December 31, 2021, which is P38,000. This gives us the consolidated retained earnings at December 31, 2021, which is P1,532,000.
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Liscount on discount on ve rate of St ive rate of st ve rate on inted loan ve rate on anted loan vs. LIBOR n borrowing d. 3/10, net 180. 2. Regis Clothiers can borrow from its bank at 11 percent to take a cash discount. The terms of the cash discount are 2/15, net 60. Should the firm borrow the funds? 3. Simmons Corp. can borrow from its bank at 12 percent to take a cash discount The terms of the cash discount are 1.5/10, net 60. Should the firm borrow the funds?
1. Discounted loan rate on interim loan, discounted loan rate on advanced loan, and ve rate versus LIBOR are all terms that can be found in the given scenario.Given the information given, it's impossible to determine what type of loan the firm is receiving.
The company may take out a loan with a discounted rate of 8% in the interim to cover its needs. It could also receive a loan with a 9 percent discount if it pays it back in full. The company's ve rate is the interest rate it is charged when it borrows funds, while the LIBOR is the rate at which banks lend money to one another.2. Yes, the company should take the cash discount offer as it is beneficial in this scenario.
The cost of borrowing funds from the bank is 11%. The terms of the cash discount are 2/15, net 60. Therefore, the company will get a 2% discount if they pay within 15 days. They will be able to borrow funds for 60 days. In other words, they will pay an effective annual rate of 12.36% to borrow funds for 45 days. As a result, the company should take advantage of the cash discount and borrow the funds.3. Yes, the company should take the cash discount offer as it is beneficial in this scenario.The company's borrowing cost is 12%. The terms of the cash discount are 1.5/10, net 60. The company will receive a 1.5% discount if they pay within 10 days. They will be able to borrow funds for 60 days. In other words, they will pay an effective annual rate of 12.36% to borrow funds for 50 days. As a result, the company should take advantage of the cash discount and borrow the funds.
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Sproul's common stock has an expected return of 10.08%. The
return on the S&P 500 is 11.6% and the U.S. T-Bill rate is
3.42%. What is Sproul's beta?
Beta coefficient is a method of measuring how sensitive a stock's price is to market volatility. Beta is a measure of stock risk that indicates how far the stock will fluctuate relative to the overall market. It is a measure of a stock's relative volatility.
A beta of 1 indicates that the stock's price will move with the market, while a beta of less than 1 indicates that the stock's price is less volatile than the market. A beta of greater than 1 indicates that the stock's price is more volatile than the market.Beta coefficient is a method of measuring how sensitive a stock's price is to market volatility.
Beta is a measure of stock risk that indicates how far the stock will fluctuate relative to the overall market. It is a measure of a stock's relative volatility. A beta of 1 indicates that the stock's price will move with the market, while a beta of less than 1 indicates that the stock's price is less volatile than the market.
A beta of greater than 1 indicates that the stock's price is more volatile than the market. The formula to calculate Beta is:Beta = (Return on Stock - Risk-free Rate) / (Return on Market - Risk-free Rate)Given, Sproul's expected return = 10.08%,Return on S&P 500 = 11.6%,Risk-free Rate (T-Bill rate) = 3.42%
Now, calculate the beta as follows:Beta = (10.08 - 3.42) / (11.6 - 3.42)Beta = 6.66 / 8.18Beta = 0.813So, the Beta of Sproul's common stock is 0.813.
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Interview Notes - Tom is 36 years old and has never been married. - Frank, age 13, is Tom's nephew who lived with him all year. Tom provided all of his support and provided over half the cost of keeping up the home. - Tom earned $44,000 in wages. - Tom is blind and cannot be claimed as a dependent by another taxpayer. - Tom and Frank are U.S. citizens, have valid Social Security numbers, and lived in the U.S. the entire year. Scenario 1: Retest Questions 1. Tom's most advantageous filing status for 2022 is Single. a. True b. False 2. Tom is blind and can claim a standard deduction amount of: a. $12,950 b. $19,400 c. $21,150 d. $25,900
Tom's most advantageous filing status for 2022 is Single. Answer: b. FalseTom can potentially qualify for the Head of Household filing status.
To qualify for Head of Household, Tom needs to meet the following requirements: He must be unmarried or considered unmarried on the last day of the year. He must have paid more than half the cost of keeping up a home for himself and a qualifying person (in this case, his nephew Frank). He must be eligible to claim an exemption for Frank as a dependent. Since Tom provided over half the cost of keeping up the home and provided all of Frank's support, he may qualify for the Head of Household filing status, which can be more advantageous than the Single filing status. Tom is blind and can claim a standard deduction amount of Answer: a. $12,950 For the tax year 2022, the standard deduction amount for a single individual who is blind is $12,950. Blind individuals are eligible for an additional standard deduction amount on top of the standard deduction for their filing status. Since Tom is blind, he can claim this additional deduction when determining his taxable income.
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Is Turo a Disruptive Innovator or Sustaining Innovator. Give
examples as to why you believe it so.
If you do not think Turo is disruptive, propose how it could
be.
In terms of whether Turo is a disruptive or sustaining innovator, the answer is that it is most likely a disruptive innovator. The reason for this is that Turo is fundamentally changing the way that people think about car rental and transportation in general.
Traditionally, car rental has been dominated by large companies that own fleets of vehicles and rent them out to customers at premium prices. Turo is disrupting this model by allowing individuals to rent out their own personal vehicles at much lower prices, creating a more decentralized and democratized car rental industry.
Additionally, Turo is also disrupting the traditional model of car ownership itself. By making it easier and more affordable for people to rent cars when they need them, Turo is making it possible for more people to forego car ownership altogether and rely on rental services instead.
While Turo is definitely a disruptive innovator, there is always room for improvement. One area where the company could continue to innovate and disrupt is by expanding its offerings to include more sustainable and eco-friendly transportation options.
For example, Turo could consider partnering with electric car manufacturers to offer more electric vehicle options on its platform, or it could develop its own electric car rental service to cater to the growing demand for sustainable transportation options.
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Vini was owed RM200 by a debtor, Kelvin. However, Kelvin was
declared bankrupt. Vini later received information that meant that
he would receive a payment of 45% of any outstanding debts owed to
him b
To record the debt being written off in Vini's accounts, the appropriate journal entry would be:
Debit Bad debts RM110
Credit Ali RM110
The negative sign indicates a loss on disposal, and the amount is RM24,000. Therefore, the correct answer is D. RM24,000 Debit.
To record the debt being written off in Vini's accounts, the appropriate journal entry would be:
Debit Bad debts RM110
Credit Ali RM110
This entry reflects the recognition of bad debt expense and the reduction in the accounts receivable balance. By debiting the Bad debts account, Vini acknowledges the amount of debt that is deemed uncollectible. The credit to the Ali account represents the reduction in the accounts receivable from Kelvin.
To calculate the gain/loss on disposal, we need to follow these steps:
Step 1: Calculate the accumulated depreciation:
Depreciation per year = (Cost - Residual value) / Useful life
Depreciation per year = (RM90,000 - RM10,000) / 5 = RM16,000
Step 2: Determine the accumulated depreciation as of the disposal date:
Accumulated depreciation = Depreciation per year x Number of years
Accumulated depreciation = RM16,000 x 1 = RM16,000
Step 3: Calculate the carrying value of the asset:
Carrying value = Cost - Accumulated depreciation
Carrying value = RM90,000 - RM16,000 = RM74,000
Step 4: Calculate the gain/loss on disposal:
Gain/Loss on disposal = Cash received - Carrying value
Gain/Loss on disposal = RM50,000 - RM74,000 = -RM24,000
The negative sign indicates a loss on disposal, and the amount is RM24,000. Therefore, the correct answer is D. RM24,000 Debit.
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The probable question oculd be:
Vini was owed RM200 by a debtor, Kelvin. However, Kelvin was declared bankrupt. Vini later received information that meant that he would receive a payment of 45% of any outstanding debts owed to him by Kelvin. How should Vini record the debt being written off in his accounts?
A. Dr Profit & Loss RM90, Cr Bank RM90
B. Dr Ali RM110, Cr Bad debts RM110
C. Dr Bad debts RM110, Cr Ali RM110
D. Dr Bank RM90, Cr Profit & Loss RM90
3. Calculate gain/loss on disposal
Cost: RM90,000 (1 April 2020)
Depreciation: 20% straight line
Residual value: RM10,000
Disposal date: 31 December 2020
Cash received: RM50,000
A. RM24,000 Credit
B. RM28,000 Debit
C. RM28,000 Credit
D. RM24,000 Debit
CMJ Patel Ltd has a share price of $1.95. The company has made a renounceable rights issue offer and the offer is a two-for-six pro-rata issue of ordinary shares at $1.65 per share.
Explain what does it mean by the offer being renounceable and to whom is this offer made?
Calculate the price of the right.
Calculate the theoretical ex-rights share price.
Tthe theoretical ex-rights share price is $1.87.Renounceable rights offer is an offer given to the shareholders that offers them to increase their stake in the company by selling their allocated rights to someone else.
Renounceable rights offer is an offer to the shareholders with the privilege of trading their rights to someone else. This offer is made with a specific time limit given to the shareholders to decide if they want to take part in the offer or not. If the shareholder does not want to take part in the offer, then he/she can trade their rights. These rights can be sold to someone else before the offer period is over, or the shareholder can simply let it expire.The offer is made to the current shareholders, who can accept or renounce the offer. A shareholder is entitled to purchase a specified number of shares at a reduced price. If a shareholder decides to renounce the offer, they have the right to sell the offer on the market, or transfer it to another person.The price of the right The right is offered at
$0.30 ($1.65 - $1.95) per share.
A shareholder is entitled to purchase 2 shares for every 6 held, therefore the shareholder will require 1 right to purchase 1 share. Therefore the price of the right is $0.30 per right.
Calculation of theoretical ex-rights share priceThe theoretical ex-rights share price (TERP) is the share price of a company that has just made a rights issue. It represents the price of a share after the rights issue, taking into account the new shares that have been issued and the proceeds from the issue.TERP is calculated using the following formula:
TERP = (n x S + P x R) / (n + R)
where:
n = the number of shares currently issued S = the current share pricen + R = the total number of shares after the rights issue P = the issue price of the new shares R = the number of new shares issued In this case,
n = 1000 shares
S = $1.95n + R = 1000 + (2/6) x 1000 = 1333.33 shares
P = $1.65R = (2/6) x 1000 = 333.33 shares
TERP = (1000 x 1.95 + 1.65 x 333.33) / 1333.33= $1.87
Therefore, the theoretical ex-rights share price is $1.87.
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please Explain the differences between matrix structure and team
structure With an example
Matrix structure involves dual reporting to functional and project managers, while team structure emphasizes autonomous, self-managed teams working towards a common goal.
Matrix structure and team structure are two organizational design approaches that differ in terms of their hierarchical relationships and functional arrangements.In a matrix structure, employees report to both a functional manager (based on their area of expertise) and a project or team manager (based on the specific project or task they are working on). This structure allows for cross-functional collaboration, where individuals from different departments come together to work on projects. For example, in a software development company, a software engineer may report to a functional manager in the engineering department but also work under a project manager for a specific software development project.On the other hand, a team structure is characterized by self-managed teams, where individuals with complementary skills come together to work towards a common goal. Each team has autonomy and decision-making authority within their area of responsibility. An example of a team structure is a marketing agency where teams for different clients work independently, handling all aspects of marketing from strategy to execution.While both structures promote collaboration and team-based work, the key difference lies in the reporting lines and decision-making authority. Matrix structure emphasizes dual reporting to both functional and project managers, whereas team structure emphasizes autonomous, self-managed teams working towards a shared objective.In conclusion, the matrix structure involves a dual reporting system to functional and project managers, enabling cross-functional collaboration, while the team structure emphasizes autonomous, self-managed teams working towards a shared goal, promoting teamwork and individual empowerment.
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The outstanding share capital of Sheng Inc Includes 47,000 shares of $9.60 cumulative preferred and 82,000 common shares, all issued during the first year of operations. During its first four years of operations, the corporation declared and paid the following amounts in dividends: Year Total Dividends Declared
2018 $ 0
2019 480,000
2020 1,008,000
2021 480,000
Required: Determine the total dividends paid in each year to each class of shareholders. Also determine the total dividends paid to each class over the four years.
Year 2018: Total dividends paid to preferred shareholders = $0, Total dividends paid to common shareholders = $0.
Year 2019: Total dividends paid to preferred shareholders = $0, Total dividends paid to common shareholders = $480,000.
Year 2020: Total dividends paid to preferred shareholders = $460,800, Total dividends paid to common shareholders = $547,200.
Year 2021: Total dividends paid to preferred shareholders = $92,160, Total dividends paid to common shareholders = $387,840.
Total dividends paid to preferred shareholders over four years = $553,960.
Total dividends paid to common shareholders over four years = $1,415,040.
In 2018, no dividends were declared or paid, so the total dividends paid to both preferred and common shareholders are $0.
In 2019, the total dividends declared and paid were $480,000, and these were paid only to the common shareholders. No dividends were paid to the preferred shareholders.
In 2020, the total dividends declared and paid were $1,008,000. For the preferred shareholders, the dividends are cumulative, so the unpaid dividends from 2019 ($480,000) are paid in addition to the current year's dividends. Therefore, the total dividends paid to preferred shareholders in 2020 are $480,000 + $460,800 = $940,800. The remaining amount of $1,008,000 - $940,800 = $67,200 is paid to the common shareholders.
In 2021, the total dividends declared and paid were $480,000. For the preferred shareholders, the unpaid dividends from 2020 ($67,200) are paid in addition to the current year's dividends. Therefore, the total dividends paid to preferred shareholders in 2021 are $67,200 + $92,160 = $159,360. The remaining amount of $480,000 - $159,360 = $320,640 is paid to the common shareholders.
Over the four-year period, the total dividends paid to the preferred shareholders are $940,800 + $159,360 = $1,100,160. The total dividends paid to the common shareholders are $480,000 + $67,200 + $320,640 = $867,840.
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You would like to have $70,000 in 16 years. To accumulate this amount, you plan to deposit an equal sum in the bank each year that will earn
10 percent interest compounded annually. Your first payment will be made at the end of the year.
a.How much must you deposit annually to accumulate this amount?
b.If you decide to make a large lump-sum deposit today instead of the annual deposits, how large should the lump-sum deposit be? (Assume you can earn 10 percent on this deposit.)
c.At the end of year 5, you will receive $20,000 and deposit it in the bank in an effort to reach your goal of $70,000 at the end of year 16.
In addition to the lump-sum deposit, how much must you invest in 16 equal annual deposits to reach your goal?
To determine how much must be deposited annually to accumulate this amount, we can use the formula for future value: FV = C[({1 + r}n - 1)/r], where FV is the future value of an annuity due, C is the periodic payment, r is the interest rate per period, and n is the number of periods.
a. How much must you deposit annually to accumulate this amount?
To determine how much must be deposited annually to accumulate this amount, we can use the formula for future value: FV = C[({1 + r}n - 1)/r], where FV is the future value of an annuity due, C is the periodic payment, r is the interest rate per period, and n is the number of periods. Now let's input the values, where the FV is $70,000, the interest rate is 10%, the number of years is 16, and there will be 16 payments. Solving for C, we have:
$70,000 = C[({1 + 0.10}^{16} - 1)/0.10]
$70,000 = C[10.137].
So, C = $6,897.60 (rounded to the nearest cent). Thus, you must deposit $6,897.60 annually to accumulate $70,000 in 16 years.
b. If you decide to make a large lump-sum deposit today instead of the annual deposits, how large should the lump-sum deposit be?
The formula for the future value of a lump sum is FV = P(1 + r)n, where P is the present value, r is the interest rate, and n is the number of periods. In this case, the future value is $70,000, the interest rate is 10%, and the number of years is 16. Solving for P, we have:
$70,000 = P(1 + 0.10)^{16}
$70,000 = P(4.355).
Thus, P = $16,069.11 (rounded to the nearest cent). Therefore, a lump-sum deposit of $16,069.11 would be required to accumulate $70,000 in 16 years.
c. In addition to the lump-sum deposit, how much must you invest in 16 equal annual deposits to reach your goal?
From part (a), we have determined that the annual payment must be $6,897.60. In addition, we know that you will receive $20,000 at the end of year 5. Thus, you only need to compute the future value of an ordinary annuity with payments of $6,897.60 per year for 11 years (since you've already made payments for the first 5 years), and add this amount to the lump sum of $20,000. Using the formula for future value, we have:
FV = C[((1 + r)^n - 1)/r]
FV = $6,897.60[((1 + 0.10)^{11} - 1)/0.10]
FV = $6,897.60[20.135].
Therefore, FV = $138,000.21 (rounded to the nearest cent). Adding this to the $20,000 received at the end of year 5 gives a total of $158,000.21. Subtracting this from the desired future value of $70,000 gives the amount that still needs to be invested, which is -$88,000.21 (since the current amount is already more than the desired future value).
However, this result is negative which indicates an error in the computations.
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