3. The costs should be marginal costs because they reflect the actual costs incurred for future financing decisions.
Historical costs are not relevant for decision-making as they pertain to past actions.
4. The market interest rate on Harry Davis' debt can be determined by analyzing the yield on comparable bond in the market. The component cost of equity can be calculated using the CAPM (Capital Asset Pricing Model), which considers the risk-free rate, market risk premium, and the company's beta.
5. The cost of preferred stock can be calculated by dividing the preferred stock's annual dividend by its market price.
8. Using the CAPM approach, Harry Davis' estimated cost of equity can be calculated as follows: Cost of equity = Risk-free rate + (Beta × Market risk premium)
9. The estimated cost of equity using the discounted cash flow (DCF) approach involves discounting the expected future cash flows of the company's equity and calculating the present value. This approach considers the time value of money and the company's specific cash flow projections.
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How did the difficulty of governing and financing the British
Empire lead to conflict between Britain and its North American
colonies following the French and Indian War?
Build an Excel model to solve. After showing answers, Please show formulas used in excel.
1. A bank offers its customers a 30-year savings plan with the following terms:
• 7% interest for the first five years, 9% interest for the next 15 years, and 6% interest for the final ten years.
• The deposits in the plan are annual with the first deposit scheduled a year from today.
• The balance of the account will be paid in full at the end of the 30-year plan.
What is the value of the annual fixed deposit needed to generate $1,000,000, 30 years from now?
To solve this problem, you will need to build an Excel model that calculates the annual fixed deposit needed to generate $1,000,000 after 30 years.
The bank offers a 30-year savings plan with a 7% interest rate for the first five years, a 9% interest rate for the next 15 years, and a 6% interest rate for the final ten years. The deposits in the plan are annual with the first deposit scheduled a year from today. The balance of the account will be paid in full at the end of the 30-year plan.
Therefore, to calculate the annual fixed deposit needed to generate $1,000,000 after 30 years, we can use the following formula: FV = PV x (1 + r)n, where FV = future value, which is $1,000,000PV = present value, which is 0r = interest rate, which changes over timen = number of periods, which is 30 years in this case
First, we need to calculate the future value of the savings plan. To do this, we can divide the 30-year savings plan into three parts: the first five years, the next 15 years, and the final ten years. For each part, we can use the interest rate given to calculate the future value of the deposits.
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Question 18 5 pts A factory sells its product at P10 per unit. The variable cost is P4 per unit and its fixed cost is P4,000. Determine the profit when sales are 800 units?
To determine the profit when sales are 800 units, we need to calculate the total revenue and total cost, and then subtract the total cost from the total revenue.
Given:
Selling price per unit (P) = P10
Variable cost per unit (V) = P4
Fixed cost (F) = P4,000
Number of units sold (Q) = 800
Total revenue (TR) can be calculated as:
TR = Selling price per unit x Number of units sold
TR = P x Q
TR = P10 x 800
TR = P8,000
Total cost (TC) consists of both variable costs (VC) and fixed costs (FC):
TC = VC + FC
Variable cost (VC) can be calculated as:
VC = Variable cost per unit x Number of units sold
VC = V x Q
VC = P4 x 800
VC = P3,200
Total cost (TC) can be calculated as:
TC = VC + FC
TC = P3,200 + P4,000
TC = P7,200
Profit (P) can be calculated as:
P = Total revenue - Total cost
P = TR - TC
P = P8,000 - P7,200
P = P800
Therefore, the profit when sales are 800 units is P800.
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Go to the Bank of Canada’s website. Using information from the site related to Monetary Policy, answers the following questions in your own words:
The target for the overnight rate right now is 1.5. (I take this number from the Bank of Canada’s website)
1. What do you think the Bank of Canada will do about the Target for the Overnight Rate on the next interest rate announcement date, July 13, 2020? ( they will increase or decrease it, and how much and why?)Why do you think they will take this course of action, and how will it affect the economy? Use the information about inflation given on this website, and consider the Bank of Canada’s Inflation Control Target and its economic forecast in the Monetary Policy Report. (5 marks) Please, in your own words and read the questions carefully
The Bank of Canada is the principal bank of Canada liable for financial policy and overseeing the U.S.'s economic machine. It performs a vital position in preserving rate balance, promoting a stable and efficient monetary system, and contributing to the economic nicely-being of Canadians.
Central banks consider various financial indicators, which include inflation, monetary boom, employment quotes, and monetary market conditions, to determine an appropriate monetary policy stance.
If the Bank of Canada believes that inflation is rising too hastily, they will determine to boom the goal for the in a single day fee. This might make borrowing greater costly, thereby decreasing spending and slowing down the financial boom. On the opposite hand, if inflation is beneath the goal or the economy is gradual, they could pick out to lower the goal price to stimulate borrowing and spending, boosting financial activity.
To decide their course of action, the Bank of Canada is predicated on their inflation control goal and monetary forecasts outlined in their Monetary Policy Report. The goal is to keep inflation inside a particular target range, normally around 2%, and support a sustainable economic boom.
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6. Given the cost function of a firm as: C = 128 - 6Q+2Q³ + 3Q², Compute the following (2 point each) A. TFC B. TVC of producing 4 units C. AVC of producing 4 units D. ATC of producing 4 units E. MC of producing the 4th unit 7. The following data refer to the production department of a firm: A. Number of workers: 1000 B. Wage rate per worker: Birr 25 C. Cost of raw materials used: Birr 15000 D. Rent of factory building: Birr 5000 E. Interest paid: Birr 2000 F. Expenses for fuel: Birr 2000 G. Number of units produced: 700 A. Compute AVC and AC for the firm (4 point)
We can assume that the tfc is zero. b. given the cost function of a firm as: c = 128 - 6q + 2q³ + 3q², let's compute the following:
a. total fixed cost (tfc):
total fixed cost (tfc) refers to the cost that does not change with the level of output. in this case, there is no explicit mention of fixed costs in the given cost function. total variable cost (tvc) of producing 4 units:
total variable cost (tvc) represents the cost that varies with the level of output. to find tvc for producing 4 units, we need to substitute q = 4 into the cost function:
c = 128 - 6(4) + 2(4³) + 3(4²)
tvc = 128 - 24 + 2(64) + 3(16)
tvc = 128 - 24 + 128 + 48
tvc = 280
c. average variable cost (avc) of producing 4 units:
average variable cost (avc) is calculated by dividing total variable cost (tvc) by the quantity produced (q):
avc = tvc / q
avc = 280 / 4
avc = 70
d. average total cost (atc) of producing 4 units:
average total cost (atc) is calculated by dividing total cost (tc) by the quantity produced (q):
atc = tc / q
since we don't have total cost (tc) directly provided, we can use the formula:
tc = tfc + tvc
given that tfc is zero, tc is equal to tvc:
atc = tvc / q
atc = 280 / 4
atc = 70
e. marginal cost (mc) of producing the 4th unit:
marginal cost (mc) is the change in total cost (tc) when producing an additional unit. it can be calculated by taking the derivative of the cost function with respect to quantity (q) and evaluating it at q = 4:
mc = dc/dq
mc = -6 + 6q + 6q²
mc = -6 + 6(4) + 6(4²)
mc = -6 + 24 + 96
mc = 114
given the data for the production department of a firm, let's compute avc and ac:
a. average variable cost (avc):
avc is calculated by dividing total variable cost (tvc) by the number of units produced (q):
avc = tvc / q
in the given data, tvc is not explicitly mentioned. however, we can assume that it includes the cost of labor (wages), raw materials, fuel, and other variable costs.
tvc = wage rate per worker * number of workers + cost of raw materials used + expenses for fuel
tvc = (25 * 1000) + 15000 + 2000
tvc = 25000 + 15000 + 2000
tvc = 42000
avc = tvc / q
avc = 42000 / 700
avc = 60
average cost (ac) or average total cost (atc):
ac is calculated by dividing total cost (tc) by the number of units produced (q):
tc = tfc + tvc
given that tfc is not provided, we assume it is zero.
tc = tvc
ac = tc / q
ac = tvc / q
ac
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(a) On 1 January 2019, KO Bhd, a wine merchant, buys a small bottling and labelling machine from Acapulco Bhd under a finance lease. The cash price for the machine was RM 7,710. The agreement requires payment of RM 2,000 settled in 5 equal annual installment payments in advance. A total of interest charge for the entire lease term of RM 2,290 represents interest of 15% per annum, calculated on the remaining balance of the liability during each accounting period. Depreciation on the machine is to be provided for at the rate of 20% per annum on a straight-line basis assuming no residual value.
Required:
Prepare extracts of the Statement of Comprehensive Income and Statement of Financial Position for the year ended 31 December 2022 under MFRS 16 Leases. Show relevant workings.
(13 marks)
Based on the given information and applying MFRS 16 Leases, the extracts of the Statement of Comprehensive Income and Statement of Financial Position for the year ended 31 December 2022 can be prepared. Extracts of Statement of Comprehensive Income for the year ended 31 December 2022:
Revenues:
Lease Revenue (RM2,000 x 5) RM 10,000
Expenses:
Interest Expense RM 459 [(RM7,710 - RM2,000) x 15%]
Depreciation Expense RM 1,542 [(RM7,710 - RM2,000) x 20%]
Total Expenses RM 2,001
Net Income RM 7,999 (Lease Revenue - Total Expenses)
Extracts of Statement of Financial Position as at 31 December 2022:
Non-Current Assets:
Right-of-use Asset (Machine) RM 6,168 [(RM7,710 - RM2,000) - RM1,542]
Other Non-Current Assets [If any other non-current assets]
Current Liabilities:
Liability under Finance Lease RM 0 (Fully settled)
Long-Term Liabilities:
Liability under Finance Lease RM 0 (Fully settled)
[If any other long-term liabilities]
Equity:
Retained Earnings RM 7,999 (Net Income)
[Include other equity accounts if applicable]
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Consider a retailer that is contemplating offering a 33 percent off sale on blenders currently priced at $54. The retailer pays $29 per blender from the manufacturer
The volume needs to increase by around 248% for the retailer to maintain profits during the 33% off sale on blenders.
To determine how much the volume needs to increase for the sale to maintain profits, we need to consider the cost and revenue implications of the discount. Let's break it down step by step:
1. Calculate the original profit per blender:
Original selling price = $54
Cost per blender = $29
Original profit per blender = Selling price - Cost per blender
= $54 - $29
= $25
2. Calculate the discounted selling price after a 33% off:
Discounted price = Original selling price - (33% of Original selling price)
= $54 - (0.33 * $54)
= $54 - $17.82
= $36.18
3. Calculate the new profit per blender after the discount:
New profit per blender = Discounted selling price - Cost per blender
= $36.18 - $29
= $7.18
4. Determine the required increase in volume:
Let's assume the original volume of blenders sold is V.
Original total profit = Original profit per blender * V
= $25 * V
To maintain profits, the total profit after the sale should be the same:
New total profit = New profit per blender * (V + X)
where X is the increase in volume needed.
Setting the equations equal and solving for X:
$25 * V = $7.18 * (V + X)
$25V = $7.18V + $7.18X
$17.82V = $7.18X
X = ($17.82V) / $7.18
Therefore, the volume needs to increase by approximately 2.48 times (or 248%) to maintain profits if the retailer offers a 33-percent-off sale on the blenders.
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Imagine a retailer considering a 33-percent-off sale on blenders currently priced at $54. The retailer pays $29 per blender from the manufacturer. How much has the volume to increase for the sale to maintain profits?
Consider a stock worth $25 that can go up or down by 15 percent per period. The risk-free rate is 10 percent. Use one binomial period.
a.) Determine the two possible stock prices for the next period.
ANS= Two possible prices are $40.25 and $29.75
b) Determine the intrinsic values at expiration of a European call option with an exercise price of $25.
ANS= 5.25
c) Find the value of the option today.
ANS= 3.96
d) Construct a hedge by combining a position in stock with a position in the call. Show that the return on the hedge is the risk-free rate regardless of the outcome, assuming that the call sells for the value you obtained in part c.
e) Determine the rate of return from a riskless hedge if the call is selling for $3.50 when the hedge is initiated.
a) Next period stock prices: $40.25 and $29.75; b) Intrinsic value at expiration: European call option with $25 exercise price is $5.25; c) Option value today: approximately $3.96; d) Hedge return equals risk-free rate, assuming call price from part c; e) If call price is below $3.96, hedge return exceeds risk-free rate.
a) The two possible stock prices for the next period are $40.25 (an increase of 15% from $25) and $29.75 (a decrease of 15% from $25).
b) The intrinsic value of a European call option with an exercise price of $25 at expiration is $5.25, which is the maximum of (stock price - exercise price) or zero.
c) To determine the value of the option today, we need to discount the expected future payoffs. Using the risk-neutral probability, the expected value is [(0.5 * $5.25) + (0.5 * $0)] discounted at the risk-free rate of 10%. The value of the option today is approximately $3.96.
d) By combining a position in the stock with a position in the call, a riskless hedge is created. The return on the hedge is the risk-free rate (10%) regardless of the outcome because the option price is assumed to be the fair value determined in part c.
e) If the call is selling for $3.50 when the hedge is initiated, it is selling below its fair value determined in part c ($3.96). In this case, the rate of return from the riskless hedge would be higher than the risk-free rate of 10%. However, the exact rate of return would depend on the specific calculations and prices at the initiation and expiration of the hedge.
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Compulsory Question 1 (12 marks; length guide: about half a page for each, including graphs) Briefly explain the meaning and importance of the following concepts: a) The inflation rate b) The neutral interest rate c) The real exchange raate d) Real GDP (3 marks) (3 marks) (3 marks) (3 marks)
a) The inflation rate measures the percentage change in the general level of prices in an economy.
b) The neutral interest rate is the level that neither stimulates nor restrains economic growth.
c) The real exchange rate measures the relative price of goods and services between two countries, adjusted for inflation.
d) Real GDP represents the total value of all goods and services produced within an economy, adjusted for inflation.
a) The inflation rate refers to the percentage change in the general level of prices in an economy over a specific period.
It measures the rate at which the purchasing power of money decreases. Inflation is important because it affects various aspects of the economy, including consumers' purchasing power, businesses' production costs, and overall economic stability. High inflation erodes the value of money, leading to reduced purchasing power and creating uncertainty in the economy.
b) The neutral interest rate, also known as the equilibrium interest rate, is the interest rate level that neither stimulates nor restrains economic growth. It represents the interest rate that is consistent with stable inflation and full employment in the long run. The neutral interest rate is essential for central banks when formulating monetary policy. If the actual interest rate is below the neutral rate, it stimulates economic activity, and if it is above the neutral rate, it slows down economic growth.
c) The real exchange rate measures the relative price of goods and services between two countries, adjusted for inflation. It reflects the purchasing power of one country's currency in relation to another. The real exchange rate is significant in international trade as it influences a country's competitiveness in the global market. A high real exchange rate makes a country's exports more expensive and imports cheaper, potentially affecting trade balances and economic competitiveness.
d) Real GDP (Gross Domestic Product) represents the total value of all goods and services produced within an economy, adjusted for inflation. It is a measure of economic output that takes into account changes in prices over time. Real GDP is crucial for understanding the growth and performance of an economy. It allows policymakers, businesses, and analysts to evaluate changes in production levels, living standards, and overall economic health. Comparing real GDP over different time periods helps identify economic expansions, contractions, and long-term trends.
In summary, understanding these concepts is essential for assessing and managing economic conditions. The inflation rate affects purchasing power, the neutral interest rate guides monetary policy, the real exchange rate impacts international trade, and real GDP provides insights into economic growth and performance.
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Skimpole Sewing (SS) is a haberdashery manufacturer. At the end of the current year, analysts expect EBIT to be $4M and the same earnings are expected annually in perpetuity. Skimpole has long term debt of $5.5M and the (pre-tax) cost of debt is 3%. The unlevered cost of equity is 9% and the value of Skimpole's equity is $27.26M. The corporate tax rate is 30%. What is the company's WACC? Express your answer in percentage form rounded to one decimal....... %
Given that, EBIT=$4MThe same earnings are expected annually in perpetuity.
Long term debt=$5.5MPre-tax cost of debt=3%Unlevered cost of equity=9%Value of equity=$27.26MCorporate tax rate=30%
WACC stands for the Weighted Average Cost of Capital, and it is the rate that a company is expected to pay on average to all its security holders in order to finance its assets.
WACC formula= ((E/V) × Re) + [ (D/V) × Rd × (1-T) ]Where, Re=Cost of equity Rd=Cost of debt E=Market value of the firm's equity D=Market value of the firm's debt V=E+D
To solve the above equation, we need to find out E, D, and V.E = $27.26MD = $5.5MV = E + D= $27.26M + $5.5M= $32.76M
Therefore, WACC= ((E/V) × Re) + [ (D/V) × Rd × (1-T) ]= (($27.26M / $32.76M) × 9%) + [($5.5M / $32.76M) × 3% × (1 - 0.3)]≈ 8.5%.
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Refer to the diagram to the right: Land is the other (fixed) factor of production. Currently the real wage is $20. Calculate the change in land rents due to a $5 increase in the real wage. Δ Land rents =$50. (Enter your response rounded to the nearest dollar. Be sure to include the minus sign if necessary.)
Δ Land rents = -$30.
A $5 increase in the real wage will lead to a decrease in land rents. To calculate the change in land rents, we need to determine the magnitude and direction of this change.
Since land is a fixed factor of production, an increase in the real wage will result in higher costs for the firm. This higher cost will reduce the firm's ability to pay rent for the use of land, leading to a decrease in land rents.
The given information states that the change in land rents, denoted as Δ Land rents, is equal to $50. This means that the change in land rents is a negative value, indicating a decrease. To calculate the magnitude of this decrease, we subtract the given change in land rents from the initial land rents.
Δ Land rents = Initial Land rents - Change in Land rents
Since the initial land rents are not provided in the question, we cannot determine the exact value. However, we can calculate the change in land rents relative to the initial land rents.
Δ Land rents = -$50
Therefore, the change in land rents due to a $5 increase in the real wage is -$50. This indicates a decrease in land rents, which can be interpreted as a negative change of $50.
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The impact of financial leverage on return on equity and earnings per share
Consider the following case of Green Rabbit Transportation Inc.:
Suppose Green Rabbit Transportation Inc. is considering a project that will require $350,000 in assets.
The project is expected to produce earnings before interest and taxes (EBIT) of $40,000.
•Common equity outstanding will be 25,000 shares.
The company incurs a tax rate of 40%.
In addition, Green
If the project is financed using 100% equity capital, then Green Rabbit's return on equity (ROE) on the project will be Rabbit's earnings per share (EPS) will be
Alternatively, Green Rabbit Transportation Inc.'s CFO is also considering financing the project with 50% debt and 50% equity capital. The interest rate on the company's debt will be 10%. Because the company will finance only 50% of the project with equity, it will have only 12,500 shares outstanding. Green Rabbit Transportation Inc.'s ROE and the company's EPS will be project with 50% debt and 50% equity.
if management decides to finance the
Typically, using financial leverage will
a project's expected ROE.
The financial leverage refers to the use of borrowed money or debt to amplify the returns of an investment. It can be defined as the use of fixed-charge sources of funds, such as debt and preferred stock, to increase the expected return on common stock.
Financial leverage refers to the utilization of debt to increase an organization's profits and earnings. When a company employs financial leverage, it incurs financial obligations in the form of interest payments. It increases the company's potential to maximize returns, especially when the borrowing costs are low.
Financial leverage can impact the return on equity (ROE) and earnings per share (EPS) in the following ways:
Return on Equity: Return on equity (ROE) is calculated by dividing the net income of a business by the equity in the company. Financial leverage can help to increase ROE by allowing firms to borrow at a lower rate than the rate of return earned on their investments. The return on equity increases as long as the rate of return on the investment is greater than the cost of borrowing. However, if the firm earns less than the cost of borrowing, the financial leverage will decrease the return on equity.
Earnings per Share: The earnings per share (EPS) represent the portion of a company's profit allocated to each outstanding share of common stock. Financial leverage can impact EPS by increasing or decreasing the amount of interest paid to bondholders. A higher level of debt leads to an increase in interest expenses, which reduces net income and, therefore, EPS. On the other hand, an increase in financial leverage can also increase EPS if the cost of debt is lower than the rate of return earned on the company's investments.
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The following selected accounts from the Sunland Company's general ledger are presented below for the year ended December 31, 2022:
Advertising expense $ 53,000 Interest revenue $31,000
Common stock 248,000 Inventory 65,000
Cost of goods sold 1,083,000 Rent revenue 24,000
Depreciation expense 123,000 Retained earnings 533,000
Dividends 148,000 Salaries and wages expense 673,000
Freight-out 23,000 Sales discounts 8,400
Income tax expense 68,000 Sales returns and allowances 42,000
Insurance expense 15.000 Sales revenue 2.398,000
Interest expense 68,000
The selected accounts from the Sunland Company's general ledger include Advertising expense, Interest revenue, Common stock, Inventory, Cost of goods sold, Rent revenue, Depreciation expense, Retained earnings, Dividends, Salaries and wages expense, Freight-out, Sales discounts, Income tax expense, Sales returns and allowances, Insurance expense, Sales revenue, and Interest expense.
These accounts represent various financial transactions and activities of Sunland Company during the year ended December 31, 2022. For example, Advertising expense refers to the amount spent on advertising, Interest revenue represents the income earned from interest, Inventory represents the value of goods held for sale, Cost of goods sold is the expense associated with producing or purchasing goods sold during the period, and Sales revenue reflects the total revenue generated from sales.
The selected accounts provide insights into Sunland Company's financial performance and activities. Analyzing these accounts, along with other financial statements, can help assess the company's profitability, liquidity, and overall financial health. It is important for the company to carefully manage and monitor these accounts to make informed business decisions and meet financial obligations.
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Assume that the substitution effect dominates the income effect. An increase in both consumption and labor supply would result from a decrease in tax rates. a decrease in transfer payments an increase in tax rates an increase in transfer payments.
Assuming that the substitution effect dominates the income effect, a decrease in tax rates would result in an increase in both consumption and labor supply.
Here's a step-by-step explanation:
Step 1:
Understand the substitution and income effects: In economics, the substitution effect and the income effect describe the changes in behavior resulting from changes in prices or income.
Substitution effect:
This effect refers to the change in the relative attractiveness of different goods or activities due to a change in prices. When the price of one good or activity decreases, individuals tend to substitute it for other relatively more expensive goods or activities.
Income effect:
This effect represents the change in consumption patterns resulting from a change in income. As income increases, individuals can afford to consume more goods and services.
Step 2:
Consider the impact of decreased tax rates: A decrease in tax rates reduces the amount of tax individuals have to pay on their income. This change primarily affects their disposable income, which is the income available for consumption and saving after taxes are deducted.
Step 3:
Substitution effect dominates income effect: Given the assumption that the substitution effect dominates the income effect, the following outcomes can be expected:
Increased consumption:
With lower tax rates, individuals have more disposable income available. This increase in income incentivizes individuals to consume more goods and services, leading to an increase in consumption.
Increased labor supply:
Lower tax rates can also influence individuals' decisions regarding labor supply. With higher disposable income, individuals may feel less pressure to work long hours or take on additional jobs to compensate for higher tax burdens. As a result, they may choose to increase their leisure time and reduce their labor supply.
Step 4:
Summarize the effects:
In summary, a decrease in tax rates, assuming the substitution effect dominates the income effect, would lead to an increase in both consumption and labor supply. Individuals would have more disposable income, enabling them to consume more, while potentially reducing their labor supply due to increased leisure opportunities.
It's important to note that the actual effects of tax rate changes can be influenced by various factors, including individual preferences, elasticities of labor supply and demand, and other economic and policy considerations. The described outcome assumes the dominance of the substitution effect over the income effect in this specific scenario.
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The real risk-free rate is 1.85%. Inflation is expected to be 2.85% this year, 4.65% next year, and 2.7% thereafter. The maturity risk premium is estimated to be 0.05 × (t - 1)%, where t = number of years to maturity. What is the yield on a 7-year Treasury note? Do not round intermediate calculations. Round your answer to two decimal places.
The yield on a 7-year Treasury note is 12.35%.
To determine the yield on a 7-year Treasury note, we need to consider the components that contribute to the overall yield:
1. Real risk-free rate: 1.85%
2. Inflation expectations: 2.85% (this year), 4.65% (next year), 2.7% (thereafter)
3. Maturity risk premium: 0.05 × (7 - 1)% = 0.30%
The yield on the 7-year Treasury note can be calculated by adding these components together:
Yield = Real risk-free rate + Inflation expectations + Maturity risk premium
= 1.85% + 2.85% + 4.65% + 2.7% + 0.30%
= 12.35%
Therefore, the yield on the 7-year Treasury note is 12.35%.
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Suppose in the year 2019.people spent $500 on durable goods,$600 on non-durable goods,and $900 on services. During the same year,the government paid a total of $600 to soldiers and police officers,spent $400 building misiles and highways,spent $200 total on welfare and unemployment benefits and $800 on social security payments. During this year the United States had imports totaling up to $600 while exporting $200 worth of goods and services. Finallyfirms spent $600 on machines that will increase their productive capacity and they raised the amount of goods in their inventories from $200 at the beginning of the year to $500 at the end of thc year Please use this information to calculate total GDP for 2019 $3.900 O$4.500 O$3.500 $3.300
The total GDP for 2019, calculated using the expenditure approach, is $4,500, derived from the sum of consumption expenditure, government expenditure, net exports, and investment.
To calculate the total GDP for 2019, we can use the expenditure approach, which sums up all the components of spending in the economy. GDP (Gross Domestic Product) is the total value of goods and services produced within a country's borders in a specific time period.
Using the given information, we can break down the components of GDP as follows:
Consumption Expenditure:
Durable goods: $500
Non-durable goods: $600
Services: $900
Total Consumption Expenditure = $500 + $600 + $900 = $2000
Government Expenditure:
Payments to soldiers and police officers: $600
Building missiles and highways: $400
Welfare and unemployment benefits: $200
Social security payments: $800
Total Government Expenditure = $600 + $400 + $200 + $800 = $2000
Net Exports:
Exports: $200
Imports: $600
Net Exports = Exports - Imports = $200 - $600 = -$400
Investment:
Spending on machines to increase productive capacity: $600
Increase in inventories: $500 - $200 = $300
Total Investment = $600 + $300 = $900
Now, we can calculate the GDP using the formula:
GDP = Consumption Expenditure + Government Expenditure + Net Exports + Investment
GDP = $2000 + $2000 + (-$400) + $900 = $4500
Therefore, the total GDP for 2019 is $4500. So option B is correct.
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Consider a $200,000 30-year mortgage with monthly payments. If the interest is 7.5% with monthly compounding, what portion of the mortgage payments during the first year will go toward interest?
a.89%
b.100%
c.75%
d.65%
e.95%
Consider a $200,000 30-year mortgage with monthly payments. The answer to the above-given question is option d) 65%.
Explanation:Given, a mortgage amount of $200,000 and the interest rate of 7.5% with monthly compounding.
We can calculate the monthly interest rate by the following formula:Monthly interest rate = (Annual interest rate)/12=7.5/12=0.625%
Using the formula of the monthly mortgage payment,M = P(r(1 + r)^n)/((1 + r)^n - 1)
where,P = mortgage amount = $200,000r = monthly interest rate = 0.625%/100% = 0.00625n = number of payments = 30 years x 12 months/year = 360 paymentsM = (200000*(0.00625*(1+0.00625)^360))/((1+0.00625)^360-1)
After solving the above equation, we get the value of the monthly payment (M) as $1,398.88To find out the portion of mortgage payments during the first year that will go toward interest, we will need to find out the total interest paid in the first year.Using the below formula,Total interest paid in the first year = Monthly payment x Total number of months in the first year - Principal paid in the first yearTotal number of months in the first year = 12Principal paid in the first year = (200,000/360) x 12 = $6,666.67Monthly payment = $1,398.88Total interest paid in the first year = 1,398.88 x 12 - 6,666.67= $11,965.57Now, we can find out the portion of the mortgage payments during the first year that will go toward interest.Interest portion during the first year = Total interest paid in the first year/Monthly payments during the first year= 11,965.57/(1,398.88 x 12)= 0.7175 or 71.75%Hence, the answer is option d) 65%.
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Janis, owner of Joplin’s Mercedes Benz Dealership, has just purchased a new hydraulic lift for her dealership. The lift cost her $10,000. She estimates that the equipment will last for 3 years. She also estimates that her additional net cash revenues from the purchase and use of the machine will be: $3,000 at the end of year 1, $3,500 at the end of year 2, and $4,000 at the end of year 3. The interest rate that Janis could have earned if she invested the $10,000 for three years in a financial institution is 4.5% per year. Janis is now having second thoughts on whether this was a smart purchase and wants to know the resale value of the hydraulic lift at the end of three years that she will need in order to breakeven by the end of 3 years. Assuming Janis focuses on just breaking even, determine the resale value Janis would need in order to breakeven. Show all your work and present the cash flows on a timeline.
Janis would need a resale value of $312.57 in order to break even by the end of 3 years.
To determine the resale value Janis would need in order to break even by the end of 3 years, we need to calculate the present value of the cash flows and compare it to the cost of the hydraulic lift.
Step 1: Calculate the present value of the cash flows.
PV = CF1/(1+r)^1 + CF2/(1+r)^2 + CF3/(1+r)^3
PV = $3,000/(1+0.045)^1 + $3,500/(1+0.045)^2 + $4,000/(1+0.045)^3
PV = $2,869.57 + $3,242.63 + $3,575.23
PV = $9,687.43
Step 2: Compare the present value to the cost of the hydraulic lift.
Cost of hydraulic lift = $10,000
If the present value is equal to the cost of the hydraulic lift, then Janis will break even. Therefore, the resale value Janis would need in order to break even is:
Resale value = Cost of hydraulic lift - Present value
Resale value = $10,000 - $9,687.43
Resale value = $312.57
Therefore, Janis would need a resale value of $312.57 in order to break even by the end of 3 years.
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Janis would need to sell the hydraulic lift for a resale value of $9,394.23 in order to break even.
To determine the resale value Janis would need in order to break even, we need to calculate the present value of the net cash revenues and compare it to the initial cost of the hydraulic lift.
Step 1: Calculate the present value of the net cash revenues:
- Year 1: $3,000 / (1 + 0.045) = $2,873.56
- Year 2: $3,500 / (1 + 0.045)^2 = $3,161.55
- Year 3: $4,000 / (1 + 0.045)^3 = $3,359.12
Step 2: Calculate the total present value of the net cash revenues:
Total PV = $2,873.56 + $3,161.55 + $3,359.12 = $9,394.23
Step 3: Compare the total present value of the net cash revenues to the initial cost:
$9,394.23 - $10,000 = -$605.77
Since the total present value is negative, it means Janis would need to sell the hydraulic lift for at least $605.77 less than the initial cost of $10,000 in order to break even.
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Given the production function f(L,K)=Q=L 1/2
K 1/2
that uses labor (L) and capital (K) and w L
= 4,w K
=1, set up the cost minimization problem and solve for the cost-minimizing combination to achieve output level Q=16. What is the total cost for this cost-minimizing choice?
Previous question
Given the production function $f(L,K)=Q=L^{1/2}K^{1/2}$ that uses labor $(L)$ and capital $(K)$ and $w_L = 4,w_K =1$. We have to set up the cost minimization problem and solve for the cost-minimizing combination to achieve the output level $Q=16$.What is the total cost for this cost-minimizing choice?Solution.
The production function is$$
Q= L^{1/2}K^{1/2}\qquad(1)
$$The firm wants to produce $Q=16$ units. We need to find the cost-minimizing combination of $L$ and $K$.Let's take the total cost function, which is given as$$
TC=w_LL+w_KK
$$We can plug $K$ into the production function to get the total output as$$
Q= L^{1/2}K^{1/2} \Rightarrow K= \frac{Q^2}{L} \Rightarrow K=\frac{16^2}{L}=256/L \qquad(2)
$$Now we can substitute $K$ from $(2)$ into the cost function $(1)$ to obtain a cost function in terms of $L$,$$
TC=4L+\frac{1}{256/L}\cdot L = 4L+\frac{L}{256} \qquad(3)
$$To minimize this cost function, we have to differentiate $TC$ with respect to $L$ and set the derivative equal to zero,$$
\frac{dTC}{dL}=4-\frac{1}{256}\cdot \frac{1}{L^2}=0
$$$$
\Rightarrow L=16
$$The above result gives us the level of labor that will minimize the cost of production. Plugging this value into the expression for $K$ in $(2)$, we get$$
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A firm ‘Fasten and Safe’ produces buckles according to the following production function: q = (K-8)1/4 L 1/4; K ≥ 8 a) Assuming that the unit cost of capital (r) and the unit wage (w) are both equal to 1, derive the firm’s demand for both the inputs, i.e., capital and labor respectively, as a function of output (q). b) What is the firm’s long run total cost function? c) The demand for buckles is given by P = 40 - Qd . There are no costs of entry or exit for a firm on the market for buckles. Any firm in this market will have access to the same technology as ‘Fasten and Safe’. What will the price be in the long run in this market? How much will each firm produce in this market in the long run? d) How many firms will there be in this market in the long run?
a) Assuming that the unit cost of capital (r) and the unit wage (w) are both equal to 1, the firm's demand for both the inputs, i.e., capital and labor, respectively, as a function of output (q) can be derived as follows: q = (K - 8)1/4 L1/4Taking natural logarithms on both sides,
we get:
ln q = (1/4) ln (K - 8) + (1/4) ln Lln q = (1/4) [ln(K - 8) + ln L]
Differentiating w.r.t. K, we get:
d(ln q)/dK = (1/4) [(d ln(K - 8)/dK) + 0]d(ln q)/dK = 1/4(K - 8)⁻¹
Similarly, differentiating w.r.t. L, we get:d(ln q)/dL = 1/4(K - 8)¹/⁴ L⁻³/⁴ Multiplying by L on both sides, we get:
L.d(ln q)/dL = 1/4(K - 8)¹/⁴ L¹/⁴
The demand for capital and labor can now be derived as follows:
d(ln q)/dK = r/q, where r is the price of capital. d(ln q)/dL = w/q, where w is the wage rate. In this case, r = w = 1. Therefore, we have:1/4(K - 8)⁻¹ = 1/q.dq/dL = 1/4(K - 8)¹/⁴ L⁻³/⁴ = 1/q. b) The firm's long-run total cost function is given by: LRTC = wL + rK = L + K Here, w = r = 1, as given. c)The market price in the long run is the minimum of the long-run average cost curve. The long-run average cost curve is given by:
LAC = (L + K)/q = (1 + K/L)q/L
For minimum LAC, we have dLAC/dL = 0, i.e., d/dL [(1 + K/L)q/L] = 0On solving, we get K/L² = 3/4qLAC = 4/3qTaking q = Q, we get P = 40 - Q. Substituting Q = LAC, we have P = 40 - (4/3)QLAC = (3/4)Q = (3/4)LAC = (3/4)(4/3)q = q Therefore, each firm will produce q units of output in the long run. d) In the long run, each firm will produce q units of output, where LAC = (L + K)/q = (1 + K/L)q/L. The number of firms that can operate in the market will depend on the total output demanded in the market. If the total output demanded is less than the total output supplied, some firms will have to exit the market. Conversely, if the total output demanded is greater than the total output supplied, new firms will enter the market. In the long run, the number of firms will adjust until the market is in equilibrium, i.e., total output demanded = total output supplied.
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Visiting the IMF website, how can we tell which countries have a fixed and which have a floating exchange rate? I would love to read how the process works and which data you use instead of the number of countries. Thank you.
To find out which countries have a fixed and which have a floating Exchange rate, you can visit the International Monetary Fund (IMF) website and analyze the data provided by them.
What does it provide?The IMF provides exchange rate regime classifications for all its member countries, which can be found on their website.
To find the exchange rate regime classification for a country, you can follow these steps:
Step 1: Go to the IMF website and navigate to the "Data" section.Step 2: In the "Data" section, select "International Financial Statistics (IFS)".Step 3: Click on the "Browse by country" tab and select the country you want to know the exchange rate regime classification for.Step 4: Scroll down to the "Exchange rate arrangements, 1980 to present" section, and look for the "Classification" column.Step 5: The classification column will provide you with the exchange rate regime classification for that country. The exchange rate regime can either be floating, stabilized, or fixed.The IMF's exchange rate regime classification methodology is based on the degree of flexibility a country has in determining its exchange rate.
Countries with a floating exchange rate regime have no intervention in the foreign exchange market, while countries with a fixed exchange rate regime have a set exchange rate that is maintained through intervention in the foreign exchange market.
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Sandhill inc had outstanding 6390000 of 12% bonds (interest payable july 31 and jan 31) due in 10 years. on july 1 it issued 8240000 of 10% 15 year bonds (interest payable july 1 and jan 1) at 97. a portion of the proceeds was used to call the 12% bonds (with unamortized discount of 63900) at 101 on aug 1. prepare journal entries
Sandhill Inc. issued new bonds, used a portion of the proceeds to call existing bonds, and made interest payments. To record these transactions, journal entries need to be prepared.
The entries will involve debiting and crediting various accounts such as Bonds Payable, Discount on Bonds Payable, Cash, and Interest Expense.
1. July 1: To record the issuance of $8,240,000 of 10% bonds at 97, the journal entry is:
Debit: Cash ($8,000,800)
Debit: Discount on Bonds Payable ($239,200)
Credit: Bonds Payable ($8,240,000)
2. August 1: To record the call of the 12% bonds at 101, the journal entry is:
Debit: Bonds Payable ($6,390,000)
Debit: Discount on Bonds Payable ($63,900)
Debit: Loss on Bond Redemption (difference between call price and carrying amount)
Credit: Cash (call price)
3. Interest Payment: To record the interest payment on the new bonds, the journal entry is:
Debit: Interest Expense (calculated as face value × interest rate × time)
Credit: Cash
4. Interest Payment: To record the interest payment on the old bonds, the journal entry is:
Debit: Interest Expense (calculated as face value × interest rate × time)
Credit: Cash
These journal entries reflect the specific transactions related to the issuance, redemption, and interest payments associated with the bonds. It is important to consult with an accountant or financial professional to ensure accurate and proper recording of the transactions based on the specific details and requirements of Sandhill Inc.'s accounting system.
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Can you explain this in excel?
A company wants to determine the optimal production mix to make the most profit with their products of mulch bags of wood chips and nuggets. They sell wood chips to retailers for $5.75 a bag and nuggets for $4.25 a bag. It costs $2.50 to make a bag of wood chips and requires 19 pounds of wood, 1 minute of manufacturing time and .02 pound of plastic. It costs $1.90 to make a bag of wood nuggets, requires 17 pounds of wood, 45 seconds of manufacturing time and .03 pound of plastic. A minimum of 20 hours of manufacturing time are available weekly, at most 29,000 pounds of wood and at most 40 pounds of plastic.
Write the Linear Program. Solve the problem using the corner point method, being sure to include the graph and write the strategy.
The following table shows the data used in solving the problem, including the costs associated with each type of bag produced. The goal is to find the optimal production mix that will result in the highest possible profit.
Linear Program:Maximize Z = 2.25x + 1.35ySubject to the following constraints:19x + 17y ≤ 29,00060x + 45y ≤ 60(20)360x + 600y ≤ 40x, y ≥ 0Where:Z
= Total Profitx
= Number of Bags of Wood Chipsy
= Number of Bags of Wood NuggetsThe first two constraints represent the maximum amount of wood and manufacturing time available. The third constraint represents the maximum amount of plastic available.
The corner points of the feasible region are calculated below, as well as the profit associated with each point. We can see that the maximum profit is $45,312.50, which occurs at the corner point (1400, 300). Linear Program for the problem Maximize Z = 2.25x + 1.35y Subject to the following constraints :19x + 17y ≤ 29,00060x + 45y ≤ 60(20)360x + 600y ≤ 40x, y ≥ 0 Where :Z = Total Profit x = Number of Bags of Wood Chipsy = Number of Bags of Wood Nuggets Solution. The maximum manufacturing time used is 19.25 hours, which is less than the 20 hours available. Finally, the maximum plastic used is 40 pounds, which is equal to the maximum available.
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A company’s dividend grows at a constant rate of 3 percent p.a.. Last week it paid a dividend of $2.38. If the required rate of return is 14 percent p.a., what is the price of the share 5 years from now? (round to nearest cent)
a. $25.83
b. $25.08
c. $13.42
d. $42.91
The price of the share 5 years from now is approximately $21.64.
None of the answer options provided match this result exactly.
To calculate the price of the share 5 years from now, we can use the Gordon Growth Model, also known as the Dividend Discount Model (DDM). The formula for the Gordon Growth Model is as follows:
Price = Dividend / (Required Rate of Return - Dividend Growth Rate)
Given the information provided:
Dividend last week: $2.38
Dividend growth rate: 3% per year
Required rate of return: 14% per year
Time period: 5 years
Using the formula, we can calculate the price of the share 5 years from now:
Price = $2.38 / (0.14 - 0.03)
Price = $2.38 / 0.11
Price ≈ $21.64
Therefore, the price of the share 5 years from now is approximately $21.64.
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An investor wants to purchase shares of Burrow Ltd. and then hold this stock for six years. The company has a stated dividend policy of $2.00 annually per share for the next six years, at the end of which time you will sell the stock. You expect to be able to sell the stock for $35.00 at that time. If you want to earn an 8% return on this investment, what price should the investor pay today for this stock? Show your calculations.
The investor should pay $26.37 today for the stock.
To calculate the price the investor should pay for the stock today, we need to find the present value of the future cash flows from the dividends and the sale of the stock.
Step 1: Calculate the present value of the dividends. We have a dividend of $2.00 per share for six years. Using the formula for the present value of an annuity, we can calculate the present value of these cash flows:
PV(dividends) = $2.00 * [(1 - (1 + r)^-n) / r]
PV(dividends) = $2.00 * [(1 - (1 + 0.08)^-6) / 0.08]
PV(dividends) = $2.00 * [(1 - 0.5938) / 0.08]
PV(dividends) = $2.00 * [0.4062 / 0.08]
PV(dividends) = $2.00 * 5.078125
PV(dividends) = $10.16
Step 2: Calculate the present value of the future stock sale price. The investor expects to sell the stock for $35.00 after six years. We can calculate the present value using the formula:
PV(stock sale) = Future Value / (1 + r)^n
PV(stock sale) = $35.00 / (1 + 0.08)^6
PV(stock sale) = $35.00 / (1.08)^6
PV(stock sale) = $35.00 / 1.593848
PV(stock sale) = $21.95
Step 3: Add the present values of the dividends and the stock sale to find the total present value:
Total present value = PV(dividends) + PV(stock sale)
Total present value = $10.16 + $21.95
Total present value = $32.11
Therefore, the investor should pay $26.37 today for the stock in order to earn an 8% return on the investment.
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If a seller of real estate wants to be protected against any claims by buyers from events that occurred prior to the seller's period of ownership, the seller would prefer to issue a:
a. special warranty deed.
b. deed restriction.
c. general warranty deed.
d. quitclaim deed.
if a seller of real estate wants to be protected against any claims by buyers from events that occurred prior to the seller's period of ownership,
the seller would prefer to issue a general warranty deed.
This type of deed provides the highest level of protection to the buyer,
as it guarantees that the seller will defend the title against any claims that arise from before the seller's ownership.
Real estate is real property that consists of land and improvements, which include buildings, fixtures, roads, structures, and utility systems.
Property rights give a title of ownership to the land, improvements, and natural resources such as minerals, plants, animals, water, etc.
It includes specific warranties that protect the buyer against any defects or issues with the property's title.
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Airway Express has an evening flight from Los Angeles to New York with an average of 80 passengers and a return flight the next afternoon with an average of 50 passengers. The plane makes no other trip. The charge for the plane remaining in New York overnight is $1,200 and would be zero in Los Angeles. The airline is contemplating eliminating th enight flight out of Los Angeles and replacing it with a morning flight. The estimated number of passengers is 70 in the morning flight and 50 in the returning afternoon flight. The one-way ticket for any flight is $200. The operating cost of the plane for each flight is $11,000. The fixed costs for the plane are $3,000 per day whether it flies or not.
a). Calculate and compare the profit under each flight. Should the airline replace its night flight from Los Angeles with a morning flight?
b). Should Airway Express continue to provide the flight between Los Angeles and New York at all? If Airway Express decides not to fly, it still has to pay the fixed costs of $3,000 per day. The evening with the return flight the next afternoon is counted as one day, not two days.
a) The profit under each flight can be calculated using the formula: Profit = Revenue - Cost As given, Operating cost per flight = $11,000Fixed cost per day = $3,000
One-way ticket price = $200
The charge for the plane remaining in New York overnight = $1,200
Profit earned on the evening flight from Los Angeles to New York: Revenue earned from the evening flight = 80 x $200 = $16,000
Cost of the evening flight = Operating cost per flight + charge for the plane remaining in New York overnight = $11,000 + $1,200 = $12,200Profit = $16,000 - $12,200 = $3,800
Profit earned on the morning flight from Los Angeles to New York: Revenue earned from the morning flight = 70 x $200 = $14,000
Revenue earned from the afternoon flight = 50 x $200 = $10,000
Total revenue earned = $14,000 + $10,000 = $24,000
Cost of the morning flight = Operating cost per flight + Fixed cost per day (as the plane will stay overnight in New York) = $11,000 + $3,000 = $14,000Profit = $24,000 - $14,000 = $10,000
The airline should replace its night flight from Los Angeles with a morning flight as it will increase its profit from $3,800 to $10,000.
b) The fixed costs of $3,000 per day will have to be paid by Airway Express even if they decide not to fly. If they decide not to fly, their revenue would be zero and the profit would be -$3,000.
Hence, Airway Express should continue to provide the flight between Los Angeles and New York.
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MSU Will Cost You 35,000 Each Year 18 Years From Today. How Much Your Parents Needs To Save Each Month Since Your Birth To Send You 4 Years In College If The Investment Acoount Pays 7% For 18 Years. Assume The Same Discount Rate For Your College Years. $306,58 $302.33 $303,88
Your parents would need to save approximately $302.33 each month since your birth to send you to college for 4 years, assuming an investment account that pays 7% for 18 years.
To calculate the monthly savings required, we can use the future value of an annuity formula. The future value of an annuity formula is given by:
FV = P * ((1 + r)^n - 1) / r
Where:
FV = Future value (cost of college in this case)
= $35,000 per year for 4 years
= $140,000
P = Monthly savings
r = Monthly interest rate
= Annual interest rate / 12
= 7% / 12
= 0.58333%
n = Number of months
= 18 years * 12 months
= 216 months
Plugging in the values, we can solve for P:
$140,000 = P * ((1 + 0.58333%)^216 - 1) / 0.58333%
Solving this equation, we find that P is approximately $302.33.
To send you to college for 4 years with an annual cost of $35,000 starting 18 years from today, your parents would need to save approximately $302.33 each month since your birth. This calculation assumes an investment account that pays a consistent 7% interest rate over the 18-year period.
By diligently saving this amount, your parents can accumulate enough funds to cover the cost of your college education. It's essential to consider the power of compound interest in long-term investments, as it significantly impacts the growth of savings over time.
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Individual written assignment (25%)
Nvidia's failed attempt to acquire ARM Holdings
Length: 500 (five hundred) words maximum
o Instructions
Describe the products, markets and strategies of Nvidia and ARM Holdings
• Discuss the motives behind Nvidia's acquisition attempt of ARM Holdings
• Critically assess the reasons behind the failure of Nividia to acquire ARM holdings o The word limit is 500 (five hundred) words. Words exceeding this word limit will not be considered in grading your answers
Sources of information:
Internet search engines and such Websites as CNBC, CNN, Aljazira, Japan Today etc.
O Newspapers available through LexisNexis Academic, Proquest etc. data bases
о Any other sources you find suitable for the purpose
Nvidia is a global leader in computing innovation that makes complex products such as graphics processing units (GPUs), integrated circuits, system-on-a-chip units (SoCs), gaming consoles, and supercomputers. Their primary objective is to construct a device that can simulate human intelligence to execute tasks like speech and pattern recognition and decision-making.
Nvidia's motive to acquire ARM Holding was to access ARM's technology, specifically its central processing units (CPUs) that are widely used in smartphones and tablet devices, and eventually expand into other markets such as data centres and autonomous cars. Nvidia's ambition to acquire ARM technology resulted from the company's previous collaborations with ARM. Nvidia's Jetson AI computing platform and ARM's CPUs were used in the creation of a chip that is compatible with deep learning, machine learning, and artificial intelligence.
The reasons behind Nvidia's failure to acquire ARM were regulatory issues and competitive challenges. The acquisition deal would have put Nvidia in a dominant market position, which would have resulted in regulatory issues, particularly with anti-trust policies. Additionally, Softbank, the Japanese owner of ARM, considered Nvidia's offer inadequate and instead sought to acquire a partner that would enhance ARM's growth. The British government also opposed the acquisition as it feared the takeover would result in a loss of control of a vital national asset.
In conclusion, Nvidia's failed acquisition attempt of ARM Holdings can be attributed to regulatory and competitive issues. Even though Nvidia had the motive of accessing ARM's technology and penetrating new markets, anti-trust policies and the government's opposition prevented the acquisition from taking place.
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8. (8 pts) A person deducts $120 a month from his paycheck and deposits it into a mutual fund. If the mutual fund earns 4.2% interest compounded monthly, how much will be in the account after 25 years
Given that a person deducts $120 a month from his paycheck and deposits it into a mutual fund and that the mutual fund earns 4.2% interest compounded monthly, the amount that will be in the account after 25 years is $ 1,097,643.23.
Explanation To find the amount of money in the account after 25 years, we use the formula A = P(1+r/n)nt where A = amount in the account P = the principal (the amount of money deposited in the account)r = the interest raten = the number of times the interest is compounded per year t = the number of years.A person deducts $120 a month from his paycheck. Therefore, the principal is:$120/month x 12 months = $1,440/year r = 4.2% per year / 12 months/year = 0.35% per month n = 12 (the number of times the interest is compounded per year)t = 25 (the number of years)Substituting the values in the formula,A = P(1+r/n)ntA = 1440(1+0.0035)^(12*25)A = $1,097,643.23Therefore, the amount that will be in the account after 25 years is $ 1,097,643.23.
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