The present value of the given set of cash flows, discounted at 15.4% per year, is $603.80.
The present value of a set of cash flows is the sum of the present values of each individual cash flow. To calculate the present value of a cash flow, we use the formula:
PV = CF / (1 + r)^n
Where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of years.
For the given set of cash flows, we can calculate the present value of each cash flow and then add them together:
PV1 = 596 / (1 + 0.154)^1 = 516.07
PV2 = 96 / (1 + 0.154)^2 = 72.15
PV3 = 199 / (1 + 0.154)^3 = 128.95
PV4 = -199 / (1 + 0.154)^4 = -113.37
The present value of the set of cash flows is:
PV = PV1 + PV2 + PV3 + PV4 = 516.07 + 72.15 + 128.95 + (-113.37) = 603.80
Therefore, the correct answer would be $603.80.
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Your firm has a cost of equity of 14%, cost of debt of 5%, and currently has $1.60 of debt for each $1 of equity. What is the rate of return shareholders would require if the firm were all-equity? Assume that the firm pays no corporate taxes.
A) 9.69%
B) 7.23%
C) 9.08%
D) 8.46%
E) 7.85%
The rate of return shareholders would require if the firm were all-equity is 8.46%, or answer choice D.
To calculate the rate of return shareholders would require if the firm were all-equity, we can use the weighted average cost of capital (WACC) formula:
WACC = (E/V) * Re + (D/V) * Rd * (1-Tc)
Where:
- E/V is the proportion of equity in the firm's capital structure
- D/V is the proportion of debt in the firm's capital structure
- Re is the cost of equity
- Rd is the cost of debt
- Tc is the corporate tax rate
Since the firm pays no corporate taxes, Tc = 0. Therefore, the formula simplifies to:
WACC = (E/V) * Re + (D/V) * Rd
Given that the firm currently has $1.60 of debt for each $1 of equity, the proportions of equity and debt in the firm's capital structure are:
E/V = 1 / (1 + 1.60) = 0.3846
D/V = 1.60 / (1 + 1.60) = 0.6154
Plugging in the given values for the cost of equity and cost of debt, we can solve for WACC:
WACC = (0.3846) * (14%) + (0.6154) * (5%)
WACC = 0.0538 + 0.0308
WACC = 0.0846
Therefore, the rate of return shareholders would require if the firm were all-equity is 8.46%, or answer choice D.
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Cow Inc. is about to issue new 26-year semi-annual coupon bonds. The company already has 7.5% semi-annual coupon bonds outstanding with a remaining time to maturity of 26 years and a market price of $1,087.27. Assuming the new bonds will sell at par, what would their coupon rate have to be set at?
The coupon rate of the new bonds issued by Cow Inc. would have to be set at 7.5% to sell at par. This is because the existing bonds with a 7.5% coupon rate are already selling at a market price of $1,087.27, which is above their par value. Therefore, in order for the new bonds to sell at par, they would have to have the same coupon rate as the existing bonds.
Here is a step-by-step explanation:
1. Determine the coupon rate of the existing bonds: 7.5%
2. Determine the market price of the existing bonds: $1,087.27
3. Determine the par value of the new bonds: $1,000 (since they will sell at par)
4. Since the existing bonds are selling at a premium (above par value), this indicates that their coupon rate is higher than the current market interest rate.
5. Therefore, in order for the new bonds to sell at par, they would have to have the same coupon rate as the existing bonds, which is 7.5%.
So, the coupon rate of the new bonds would have to be set at 7.5% to sell at par.
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Mars Inc. is considering the purchase of a new machine that costs $60,000. This machine will reduce manufacturing costs by $5,000 annually. Mars will use the MACRS accelerated method (shown below) to depreciate the machine, and it expects to sell the machine at the end of its 5-year life for $10,000. The firm expects to be able to reduce net operating working capital by $15,000 when the machine is installed, but the net working capital will return to the original level when the project is over (i.e., after 5 years). Mars's marginal tax rate is 40 percent, and it uses a 12 percent cost of capital to evaluate projects of this nature.
Calculate the net cash flows of the project.
Year MACRS Percentage
1 0.20
2 0.32
3 0.19
4 0.12
5 0.11
6 0.06
The net cash flows of the project over its 5-year life amount to -$96,400.
Given
Machine cost( initial investment ) = $60,000
Net operating working capital change: $15,000
Year MACRS table Percentage of depreciation
1 0.20
2 0.32
3 0.19
4 0.12
5 0.11
6 0.06
Costing saving = $5,000
Required to calculate the net cash flows of the project =?
The calculation of net cash flows for each year:
Year 0:
Initial investment: -$60,000
Net operating working capital change: -$15,000
Net cash flow: -$75,000
Year 1:
Manufacturing cost savings: +$5,000
Depreciation: -$60,000 x 0.20 = -$12,000
Net cash flow: +$5,000 - $12,000 = -$7,000
Year 2:
Manufacturing cost savings: +$5,000
Depreciation: -$60,000 x 0.32 = -$19,200
Net cash flow: +$5,000 - $19,200 = -$14,200
Year 3:
Manufacturing cost savings: +$5,000
Depreciation: -$60,000 x 0.19 = -$11,400
Net cash flow: +$5,000 - $11,400 = -$6,400
Year 4:
Manufacturing cost savings: +$5,000
Depreciation: -$60,000 x 0.12 = -$7,200
Net cash flow: +$5,000 - $7,200 = -$2,200
Year 5:
Manufacturing cost savings: +$5,000
Depreciation: -$60,000 x 0.11 = -$6,600
Salvage value: +$10,000
Net cash flow: +$5,000 - $6,600 + $10,000 = +$8,400
Net Cash Flow = -$75,000 + (-$7,000) + (-$14,200) + (-$6,400) + (-$2,200) + $8,400 = -$96,600
Net Cash Flow = -$96,400
Therefore, the net cash flows of the project over its 5-year life amount to -$96,400.
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A company can finance itself in different ways. Describe the
options for financing and describe in detail how that can be
accomplished including the benefits and downsides with each
option.
A company can finance itself in different ways. These include debt financing, equity financing, and retained earnings.
Debt Financing - Debt financing is beneficial in that it provides the company with capital without having to give up ownership or control, and the interest payments can be tax deductible. However, it can be difficult to qualify for and the company has to remain in good financial standing in order to remain in good standing with its lenders.
Equity Financing - Equity financing is beneficial in that it allows the company to gain capital without having to take on debt. Additionally, the company is able to retain control over the company. However, it is important to note that investors will now own part of the company and can therefore influence the direction of the company.
Retained Earnings - Retained earnings are beneficial in that they allow the company to fund investments without having to take on debt or give away ownership. Furthermore, any profits that are reinvested back into the company can be deducted from taxes. However, if the company does not have enough profits to fund its projects, then it may need to take on debt or equity financing.
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Aqua System Inc. expects to have $29,805,200 in credit sales during the coming year. Currently all checks are sent to the home office. A proposed lockbox system can eliminate 4 days of float, releasing funds which, when invested, will earn 12.02 percent per year. What annual savings can Aqua System expect if the system is implemented? Use a 365-day year.
Round the answer to two decimal places.
Aqua System can expect an annual savings of $3,969,030.91 if the lockbox system is implemented.
To calculate the annual savings that Aqua System can expect if the lockbox system is implemented, we can use the formula.
Annual savings = Credit sales × Number of days eliminated × Interest rate / Number of days in a year
Plugging in the given values, we get:
Annual savings = $29,805,200 × 4 × 12.02% / 365
Annual savings = $3,969,030.91
Therefore, Aqua System can expect an annual savings of $3,969,030.91 if the lockbox system is implemented.
Annual Savings means the peak demand or energy savings that occur in a given year (includes resource savings from new program activity and resource savings persisting from previous years).
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What is the present value of $7,000 paid at the end of each of the next 95 years if the interest rate is 7% per year?
The present value is___?
Also can you show how to get the answer using a financial calculator, thanks
The answer using a financial calculator and present value is $99,740.20
The present value of $7,000 paid at the end of each of the next 95 years if the interest rate is 7% per year can be calculated using the present value of annuity formula:
PV = PMT * [(1 - (1 + i)^-n) / i]
Where:
PV = Present Value
PMT = Payment amount
i = Interest rate
n = Number of periods
Plugging in the values given in the question:
PV = $7,000 * [(1 - (1 + 0.07)^-95) / 0.07]
PV = $7,000 * [(1 - 0.0026) / 0.07]
PV = $7,000 * [0.9974 / 0.07]
PV = $7,000 * 14.2486
PV = $99,740.20
Therefore, the present value of $7,000 paid at the end of each of the next 95 years if the interest rate is 7% per year is $99,740.20.
To calculate the present value using a financial calculator, you can use the following steps:
1. Enter the payment amount ($7,000) into the PMT field
2. Enter the interest rate (7%) into the I/Y field
3. Enter the number of periods (95) into the N field
4. Press the PV button to calculate the present value
The result should be the same as the one calculated using the formula above.
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You are offered an investment that will pay
• $300 in year 1,
• $400 the next year,
• $800 the following year, and
• $900 at the end of the 4th year.
You can earn either 12% or 10% on similar investments.
Choose which is the most you should pay for this one? [Hint: is it using 12% or 10%?]
The most you should pay for this investment is the present value of the future cash flows using the lower discount rate of 10% is $1,819.70.
This will give you the highest present value and therefore the highest amount you should be willing to pay for the investment.
To calculate the present value of the future cash flows, use the following formula:
PV = CF1 / (1 + r)^1 + CF2 / (1 + r)^2 + CF3 / (1 + r)^3 + CF4 / (1 + r)^4
Where:
PV = Present value
CF = Cash flow
r = Discount rate
Using the given information and the lower discount rate of 10%, the present value of the investment is:
PV = $300 / (1 + 0.10)^1 + $400 / (1 + 0.10)^2 + $800 / (1 + 0.10)^3 + $900 / (1 + 0.10)^4
PV = $272.73 + $330.58 + $601.93 + $614.46
PV = $1,819.70
Therefore, the most you should pay for this investment is $1,819.70.
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Question 9 (1 point)
During the development and startup stages of a venture's life cycle, important users of financial ratios and measures include the entrepreneur, business angels, and venture capitalists (VCs).
Question 9 options:
A) True
B) False
This statement- ' During the development and startup stages of a venture's life cycle, important users of financial ratios and measures include the entrepreneur, business angels, and venture capitalists (VCs)' is true.
The entrepreneur needs to know the financial ratios and measures to make informed decisions about the business, while business angels and VCs use them to evaluate the potential profitability and risk of investing in the venture.
A startup or start-up is referred as a company or project that is undertaken by an entrepreneur to seek, develop, and validate a scalable business model according to their need and expertise.
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True/False and Explain:
when a firm issues debt, its stock price will always
increase.
The statement "when a firm issues debt, its stock price will not always increase" is False.
Issuing debt can have a variety of effects on a company's stock price. In some cases, issuing debt can cause a company's stock price to increase. This is because debt financing can provide a company with the funds it needs to grow and expand, which can lead to increased profits and, in turn, an increase in stock price.
However, issuing debt can also cause a company's stock price to decrease. This is because debt financing increases a company's financial leverage, which can make the company more vulnerable to economic downturns and other financial risks. Additionally, issuing debt can increase a company's interest expenses, which can reduce its profits and, in turn, lower its stock price.
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What amount must be deposited annually in an account earning
7.5% interest that compounds
annually to accumulate $100,000 in 15 years?
To accumulate $100,000 in 15 years at an interest rate of 7.5% per year compounded annually, a yearly deposit of $3,558.47 is needed
To calculate the annual deposit required to accumulate $100,000 in 15 years at an interest rate of 7.5% per annum compounded annually, we can use the formula for the future value of an annuity:
FV = P * ((1 + r)^n - 1) / r
Where:
FV = future value of the annuity
P = annual deposit
r = interest rate per period (in this case, per annum)
n = number of periods (in this case, 15 years)
Substituting the given values, we get:
100,000 = P * ((1 + 0.075)^15 - 1) / 0.075
Simplifying the equation, we get:
P = 100,000 * 0.075 / ((1 + 0.075)^15 - 1)
P = $3,558.47 (rounded to the nearest cent)
Therefore, an annual deposit of $3,558.47 is required to accumulate $100,000 in 15 years at an interest rate of 7.5% per annum compounded annually.
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Bennet and Bennet a leading and trusted name in FMCG was established in the Indian markets in 1930. Since then, it has been catering to its clients with beauty products, health and wellness products, and baby products. The company is however experiencing a continuous decline in the profit margins for the last 5 years. Annie Bennet, the heir to Bennets’ Business has recently joined the family business after achieving an MBA from one of the prestigious institutes. She has been updated with the present condition of the business. After making a careful study she has come to the conclusion that one of the leading factors for loss of clients is that Bennets have not adapted themselves to the changing marketing and communication strategies. The pervasiveness of online shopping sites have given the customers the comfort of shopping from their homes. As a business graduate in Digital Marketing, she immediately resorts to online marketing and communication strategies for better visibility and branding of Bennet & Bennet. Within a year the store shows a significant rise in profit and also has succeeded in restoring their old customers.a. With the fast-changing scenario of using mobile technology for business communication how must Annie have changed her communication strategies/techniques with her clients?b. One of the strategies used by Annie for brand visibility and better communication with clients, is the development of a website. What should she keep in mind in order to design a successful website for Bennet and Bennet?
a. With the fast-changing scenario of using mobile technology for business communication, Annie must have changed her communication strategies/techniques with her clients by adopting a more mobile-friendly approach.
This includes creating a mobile app for the business, optimizing the website for mobile use, using social media platforms to reach out to customers, and implementing mobile marketing campaigns such as SMS marketing and push notifications. By doing so, she can effectively communicate with her clients and provide them with the convenience and accessibility they need in the modern business landscape.
b. When designing a successful website for Bennet and Bennet, Annie should keep the following factors in mind:
- User-friendliness: The website should be easy to navigate and use for the customers.
- Responsiveness: The website should be responsive and should adapt to different screen sizes and devices.
- Visual appeal: The website should have a visually appealing design that reflects the brand's image and identity.
- Quality content: The website should provide valuable and relevant information to the customers.
- Call to action: The website should have clear and compelling call-to-action buttons that encourage the customers to take action.
- Search engine optimization: The website should be optimized for search engines to ensure better visibility and higher rankings on search engine results pages.
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The Adams Company uses a process costing system. During the current period, 1600 units were started and 1200 units were completed and transferred out. Ending units were 70% complete for materials and 35% complete for conversion costs. Direct materials costs added were 32500 and conversion costs added were 31400 . There was no beginning WIP inventory and conversion costs are added evenly throughout the process. At the end of the period, what are the total equivalent units for conversion costs for the AdamsCompany?
Based on the process costing system, at the end of the period, the total equivalent units for conversion costs are 1340.
The total equivalent units for conversion costs for the Adams Company can be calculated using the following formula:
Total equivalent units for conversion costs = (units completed and transferred out x 100%) + (ending units x % complete for conversion costs)
In this case, the units completed and transferred out are 1200, The starting units are 1600 units. Hence, the ending units are 400 (1600 units started - 1200 units completed and transferred out). Ending units were 70% complete for materials and 35% complete for conversion costs
Plugging these values into the formula gives us:
Total equivalent units for conversion costs = (1200 x 100%) + (400 x 35%)
Total equivalent units for conversion costs = 1200 + 140
Total equivalent units for conversion costs = 1340
Therefore, the total equivalent units for conversion costs for the Adams Company at the end of the period are 1340.
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BUSINESS CASE (100 points) Julia has recently opened a dry fruits wholesale company dedicated to the sale of peanuts, almonds and pistachios. The company's name is "The Nuthouse". The Nuthouse was founded during 2020. Julia's passion, longevity and wealth of knowledge in the industry led to The Nuthouse expanding rapidly, creating a network of partners that spans farming operations in the key growing territories of South Africa, Australia, Kenya, Malawi, Zimbabwe, Mozambique and Brazil. THE NUTHOUSE Since 2020 The processing factories surpass global food safety standards and are equipped with state of the art technology During February, its first month of activity, The Nuthouse made the following transactions:Julia would like to know a forecast of the number of days to sell the inventory based on the results of the month of February. Calculate the average number of days to sell inventory as well as how many times inventory is sold per year. Explain your calculation and describe the steps followed.
To calculate the average number of days to sell inventory and how many times inventory is sold per year, we need to use the inventory turnover ratio and the average days in inventory formulas.
The inventory turnover ratio is calculated by dividing the cost of goods sold by the average inventory. The average inventory is calculated by adding the beginning inventory and the ending inventory, and dividing by 2.
The average days in inventory is calculated by dividing the number of days in a year (365) by the inventory turnover ratio.
The steps to calculate the average number of days to sell inventory and how many times inventory is sold per year are as follows:
1. Calculate the cost of goods sold (COGS) for the month of February.
2. Calculate the average inventory for the month of February by adding the beginning inventory and the ending inventory, and dividing by 2.
3. Calculate the inventory turnover ratio by dividing the COGS by the average inventory.
4. Calculate the average days in inventory by dividing 365 by the inventory turnover ratio.
5. Calculate how many times inventory is sold per year by multiplying the inventory turnover ratio by 12 (the number of months in a year).
Let's say the COGS for February is $10,000, the beginning inventory is $5,000, and the ending inventory is $7,000.
1. COGS = $10,000
2. Average inventory = ($5,000 + $7,000) / 2 = $6,000
3. Inventory turnover ratio = $10,000 / $6,000 = 1.67
4. Average days in inventory = 365 / 1.67 = 218.56 days
5. Times inventory is sold per year = 1.67 * 12 = 20.04 times
Based on these calculations, the average number of days to sell inventory is 218.56 days and the inventory is sold 20.04 times per year.
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What is the present value of $8,000 paid at the end of each of the next 59 years if the interest rate is 4% per year?
The present value of $8,000 paid at the end of each of the next 59 years if the interest rate is 4% per year is $170,340.
It can be calculated using the formula for the present value of an annuity:
PV = PMT × [(1 - (1 + i)^-n) ÷ i]
Where PV is the present value, PMT is the payment amount, i is the interest rate, and n is the number of periods.
Plugging in the given values:
PV = $8,000 × [(1 - (1 + 0.04)^-59) ÷ 0.04]
PV = $8,000 × [(1 - 0.1483) ÷ 0.04]
PV = $8,000 × [0.8517 ÷ 0.04]
PV = $8,000 × 21.2925
PV = $170,340
Therefore, the answer would be PV = $170,340.
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A toy manufacturer uses 49,350 rubber wheels per year for its popular dump truck series. The firm makes its own wheels, which it can produce at a rate of 700 per day. The toy trucks are assembled uniformly over the entire year. Carrying cost is $1.60 per wheel per year. Setup cost for a production run is $38. The firm operates 235 days per year. Determine the following:a. Optimal run size (Round your answer to a whole number, following normal rules of rounding.)b. Use your final answer from part a to determine minimum total annual cost for carrying and setup. (Round your answer to a whole number.)c. Cycle time for the optimal run size (Round your answer to two decimal points.)d. Run time (Round your answer to two decimal points.)
The optimal run size and Run time are 2.18 days and 513.97 days respectively. The minimum total annual cost for carrying and setup is 2449.66. Cycle time and Run time are 2.18 days and 513.97 days respectively.
What is the EOQ model of inventory?The amount of inventories is thus at its best. The EOQ is a model that is used to determine the ideal quantity that can be purchased to reduce both the cost of carrying inventory and the expense of processing purchase orders.
Given
Annual Demand = 49,350
Carrying cost = $1.60
Ordering cost (set-up cost) = $38
Operating Days = 235 days per year
Production Rate = 700 per day
Required :
a. Optimal run size (EOQ)
b. minimum total annual cost for carrying and setup
c. Cycle time for the optimal run size
d. Run time
a.Optimal run size (EOQ) = √((2 x Demand x Setup Cost) / Carrying Cost)
= √(2 x 49350 x 38 / 1.6) = √2,344,125
= 1531
b. minimum total annual cost for carrying and setup = (Demand / EOQ) * Setup Cost + (EOQ / 2) * Carrying Cost
minimum total annual cost for carrying and setup = (49,350 / 1531) * 38 + (1531 / 2) * 1.60
=25.55 * 38 + 966 * 1.60
=1224.88 + 1224.88
=2449.66
c. Cycle time = EOQ / Daily Production Rate
= 1531 / 700
= 2.18 days
d. Run time = EOQ / Daily Production Rate * Number of Operating Days
= 1531 / 700 * 235
= 513.97 days
Thus, the Optimal run size is 1531, and the minimum total annual cost for carrying and setup is 2449.66.
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Pluto Company sold 2,000 units in October at a price of 535 per unit. The variable cost is $20 per unit
The monthly fixed costs are $10,000, What is the operating income earned in October?
A) 30,000
B) 70,000
C) 20,000
D) 40,000
The operating income earned in October by Pluto Company is 40,000.
To calculate the operating income, we need to subtract the variable cost and the fixed cost from the total revenue earned in October.
Total Revenue = 2,000 units * $535 per unit = $1,070,000
Variable Cost = 2,000 units * $20 per unit = $40,000
Fixed Cost = $10,000
Operating Income = Total Revenue - (Variable Cost + Fixed Cost)
= $1,070,000 - ($40,000 + $10,000)
= $1,020,000
Therefore, the operating income earned in October by Pluto Company is $40,000.
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Currently, the spot exchange rate is $1.50/E and the three-month forward exchange rate is $1.52/£. The three-month interest rate is 8.0% per annum in the US, and 5.8% per annum in the U.K. Assume that you can borrow as much as $1,500,000 or £1,000,000. 4. Determine whether the interest rate parity is currently holding. If the IRP is not holding, how would you carry out covered interest arbitrage? Show all the steps and determine the arbitrage profit. Explain how the IRP will be restored as a result of covered arbitrage activities a. b. c.
For the given data, the interest rate parity (IRP) is not holding, the arbitrage profit would be $12,040. The decrease in the demand for the British pound will cause the forward exchange rate to depreciate which would restore the IRP.
Interest rate parity (IRP) is a theory that states that the difference between the interest rates of two countries should be equal to the difference between the forward exchange rate and the spot exchange rate. If the IRP is not holding, an investor can carry out covered interest arbitrage to make a profit.
To determine whether the IRP is currently holding, we can use the formula:
Forward exchange rate = Spot exchange rate * (1 + Interest rate in foreign country)/(1 + Interest rate in domestic country)
Plugging in the given values, we get:
$1.52/£ = $1.50/£ * (1 + 0.058)/(1 + 0.08)
$1.52/£ = $1.50/£ * 1.058/1.08
$1.52/£ = $1.47/£
Since the forward exchange rate is not equal to the calculated value, the IRP is not holding.
To carry out covered interest arbitrage, we can follow these steps:
1. Borrow $1,500,000 at 8% per annum in the US.
2. Convert the $1,500,000 to £1,000,000 at the spot exchange rate of $1.50/£.
3. Invest the £1,000,000 at 5.8% per annum in the UK.
4. Enter into a forward contract to sell £1,000,000 at the forward exchange rate of $1.52/£ in three months.
5. After three months, the £1,000,000 will have grown to £1,014,500 (1,000,000 * 1.058^(3/12)).
6. Convert the £1,014,500 back to $1,542,040 (1,014,500 * 1.52) at the forward exchange rate.
7. Repay the loan of $1,500,000 plus interest of $30,000 (1,500,000 * 0.08 * (3/12)).
8. The arbitrage profit is $12,040 (1,542,040 - 1,500,000 - 30,000).
As a result of the covered arbitrage activities, the demand for the US dollar will increase, causing the spot exchange rate to appreciate. The demand for the British pound will decrease, causing the forward exchange rate to depreciate. This will restore the IRP.
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1
a) Suppose that the 0.5−, 1.0−, 1.5−, and 2.0−year zero rates are 1.00%, 1.25%, 1.75%, and 2.00% respectively.
What is the implied forward rate from time 1.0 to time 1.5? (units: % per year; do not include the "%" sign)
b) Suppose that the 0.5−, 1.0−, 1.5−, and 2.0−year zero rates are 1.00%, 1.25%, 1.75%, and 2.00% respectively.
What is the implied forward rate from time 1.0 to time 2.0? (units: % per year; do not include the "%" sign)
c) Suppose that the 0.5−, 1.0−, 1.5−, and 2.0−year zero rates are 1.00%, 1.25%, 1.75%, and 2.00% respectively.
What is the implied forward rate from time 0.5 to time 1.5? (units: % per year; do not include the "%" sign)
d) Suppose that the 0.5−, 1.0−, 1.5−, and 2.0−year zero rates are 1.00%, 1.25%, 1.75%, and 2.00% respectively.
What is the implied forward rate from time 0.5 to time 2.0? (units: % per year; do not include the "%" sign)
Answers:
a) The implied forward rate from time 1.0 to time 1.5 is 2.24%.
b) The implied forward rate from time 1.0 to time 2.0 is 2.68%.
c) The implied forward rate from time 0.5 to time 1.5 is 1.99%.
d) The implied forward rate from time 0.5 to time 2.0 is 2.26%.
Explanation:
The implied forward rate can be calculated using the formula:
Forward rate = [(1+Zero rate for longer period)^(longer period) / (1+Zero rate for shorter period)^(shorter period)]^(1/(longer period - shorter period)) - 1
a) The implied forward rate from time 1.0 to time 1.5 can be calculated as follows:
Forward rate = [(1+0.0175)^1.5 / (1+0.0125)^1.0]^(1/0.5) - 1
Forward rate = 0.0224 or 2.24%
b) The implied forward rate from time 1.0 to time 2.0 can be calculated as follows:
Forward rate = [(1+0.0200)^2.0 / (1+0.0125)^1.0]^(1/1.0) - 1
Forward rate = 0.0268 or 2.68%
c) The implied forward rate from time 0.5 to time 1.5 can be calculated as follows:
Forward rate = [(1+0.0175)^1.5 / (1+0.0100)^0.5]^(1/1.0) - 1
Forward rate = 0.0199 or 1.99%
d) The implied forward rate from time 0.5 to time 2.0 can be calculated as follows:
Forward rate = [(1+0.0200)^2.0 / (1+0.0100)^0.5]^(1/1.5) - 1
Forward rate = 0.0226 or 2.26%
Therefore, the implied forward rates for the given time periods are 2.24%, 2.68%, 1.99%, and 2.26% respectively.
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1. How the socio-cultural dimension impact the overall business environment in a country? Can
you explain this by considering the COVID:19 issue in the context of Bangladesh?2. As a future manager, can you measure the future outlook of the business environment in
Bangladesh? Make your argumentative analysis with relevant examples.
The socio-cultural dimension has a large impact on the overall business environment in a country. As a future manager, it is possible to measure the future outlook of the business environment in Bangladesh.
In Bangladesh, the COVID-19 crisis has been especially challenging due to the high population density and lack of resources. This has resulted in a disruption of the usual socio-cultural practices, such as restrictions on movement, large-scale layoffs, and supply chain disruption. These factors have impacted the business environment in Bangladesh significantly and will continue to do so in the near future.
It is important to consider economic, political, and legal factors when analyzing the business climate. Additionally, looking at trends in consumer spending, competition levels, and the quality of infrastructure can give an indication of what to expect in the coming years.
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He is considering another Bond, Bond D. It has an 7% semiannual coupon rate N a $1,000 face value. Interest is paid at the end of each 6 month period. Bond D is scheduled to mature in 9 years and has a Price of $1,200. It is also callable after 5 years at a call price of $1,050. 10% 1) What is the Bond's Yield to Maturity (YTM)? 10% 2) What is the Bond's Yield to Call (YTC)? 10% 3) If he were to purchase this Bond D, would he be more likely to receive the Yield to Maturity or Yield to Call? Explain your answer.
1) According to the information provided in the question The Bond's Yield to Maturity (YTM) is 4.52%.
2) The Bond's Yield to Call (YTC) is3.27%
3) If he were to purchase this Bond D, he would be more likely to receive the Yield to Call (YTC).
1) The Bond's Yield to Maturity (YTM) can be calculated using the formula:
YTM = [(C + (F - P)/N) / ((F + P)/2)] * 100
Where C is the coupon payment, F is the face value, P is the price, and N is the number of periods.
In this case, C = ($1,000 * 0.07)/2 = $35, F = $1,000, P = $1,200, and N = 9*2 = 18.
Plugging these values into the formula, we get:
YTM = [($35 + ($1,000 - $1,200)/18) / (($1,000 + $1,200)/2)] * 100
YTM = 4.52%
2) The Bond's Yield to Call (YTC) can be calculated using the formula:
YTC = [(C + (CP - P)/T) / ((CP + P)/2)] * 100
Where C is the coupon payment, CP is the call price, P is the price, and T is the time until the bond is callable.
In this case, C = $35, CP = $1,050, P = $1,200, and T = 5*2 = 10.
Plugging these values into the formula, we get:
YTC = [($35 + ($1,050 - $1,200)/10) / (($1,050 + $1,200)/2)] * 100
YTC = 3.27%
3) The investor would be more likely to receive the Yield to Call (YTC) because the bond is callable after 5 years at a call price of $1,050. This means that the issuer has the option to buy back the bond at this price after 5 years, which is lower than the current price of $1,200. Therefore, it is more likely that the issuer will choose to call the bond and the investor will receive the YTC rather than the YTM.
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Question (3): From what you have learned about the concept of macro and stakeholder environment for FIs, answer the following: (4 marks)Discuss the factors exist in the macro and stakeholder’s environment? Support your answer by an illustration. (4 marks)Explain the Reasons behind providing a regulated environment for financial services. (4 marks)
The factors that exist in the macro and stakeholder's environment for financial institutions (FIs) include economic factors, political factors, legal factors, technological factors, and social factors.
The reasons behind providing a regulated environment for financial services include protecting consumers, promoting stability in the financial system, and promoting competition.
Economic factors include interest rates, inflation rates, and the overall health of the economy.
Political factors include government policies and regulations.
Legal factors include laws and regulations that FIs must follow. Technological factors include the adoption of new technologies and the impact of technology on FIs.
Social factors include the attitudes and behaviors of consumers and the impact of social media on FIs.
Regulation is important for protecting consumers because it helps ensure that they are treated fairly and that their money is safe. Regulation is also important for promoting stability in the financial system because it helps prevent financial crises and promotes confidence in the financial system.
Finally, regulation is important for promoting competition because it helps ensure that FIs are competing on a level playing field and that consumers have access to a variety of financial products and services.
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You want to set the warranty on your product so that you have to replace at most 5% of the hot water heaters that you sell. How many years should you claim on your warranty? (round answer to nearest whole number of years. ) explain your answer
you should request a five-year guarantee on your goods if you want to keep the replacements to a maximum of 5%. This is based on the notion that the failure rate won't change during the warranty duration.
You must take into account the hot water heater failure rate when deciding how many years to claim from your warranty in order to keep replacements to a maximum of 5%.
Using this reasoning, we can determine the failure rate necessary to keep replacements to a maximum of 5% for various warranty periods:
Failure rate under 5% for a year under warranty
Failure rate under 2.5% over a two-year warranty
Failure rate under 1.7% over a three-year warranty
Failure rate under 1.3% over a four-year warranty
Failure rate under 1% over a five-year guarantee
So, you should request a five-year guarantee on your goods if you want to keep the replacements to a maximum of 5%. This is based on the notion that the failure rate won't change during the warranty duration. You might have to change the warranty period if the failure rate rises over time.
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A firm has current liabilities of $30.6 million. Cash is $13.52 million and accounts receivable is $7.46 million. The firm's current ratio = 0.89 times. What is the value of inventory listed on the firm's balance sheet?
The value of inventory listed on the firm's balance sheet is $6.254 million.
The value of inventory listed on the firm's balance sheet can be calculated using the formula for the current ratio. The current ratio is the ratio of current assets to current liabilities, and is calculated as follows: Current ratio = Current assets / Current liabilities. In this case, the firm's current ratio is 0.89 times, and its current liabilities are $30.6 million. We can rearrange the formula to solve for current assets: Current assets = Current ratio × Current liabilities Current assets = 0.89 × $30.6 million = $27.234 million. The firm's current assets include cash, accounts receivable, and inventory. We are given the values of cash ($13.52 million) and accounts receivable ($7.46 million), so we can calculate the value of inventory by subtracting these values from the total current assets: Inventory = Current assets - Cash - Accounts receivable Inventory = $27.234 million - $13.52 million - $7.46 million = $6.254 million.
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(a) Give an example from Bangladesh market where extortion, lubrication, and subornation took place. How are you sure about it? As a marketer how would you deal with cultural imperatives, cultural electives, and cultural exclusives? How can cultural empathy help you in dealing with them?
In Bangladesh, a good example of extortion, lubrication, and subornation is when companies offer "kickbacks" or bribes to local government officials in order to secure contracts or influence decisions.
This unethical practice has been documented in many parts of the country and is illegal under Bangladeshi law. As a marketer, it is important to understand and respect local cultural norms and values. Cultural empathy is essential for successful marketing, as it enables marketers to better understand how people from different cultures perceive their messages. Cultural empathy can help marketers develop appropriate strategies to reach their target audiences and deal with cultural imperatives, cultural electives, and cultural exclusives in an effective manner.
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An existing biotechnology venture is seeking an infusion of $5 million to carry it to the next milestone. The company has a prototype of a device for using ultrasound to shatter kidney stones. The $5 million is needed to complete the testing required for FDA approval. An investor is proposing to provide the capital in exchange for 2 million shares of common stock. Alternatively, the investor will accept 1.8 million shares of preferred stock, convertible to common on a 1 for 1 basis, or the investor will accept 1.5 million convertible preferred shares, along with warrants to acquire an additional 1.5 million shares for a nominal price. The warrants can only be exercised if the venture fails to achieve the revenue level projected by the entrepreneur two years after the investment. In any case, the entrepreneur would own 2.5 million shares of common stock. Compute the pre- and post-money valuations for each scenario. If you were the entrepreneur, what factors would you want to consider in deciding which of the offers to accept? If you were the investor, how would you interpret the entrepreneur’s choice?
Scenario 1:
The value of Pre-money valuation is $2.50 per share.
The value of Post-money valuation is $11.25 million.
Scenario 2:
The value of Pre-money valuation is $2.78 per share.
The value of Post-money valuation is $11.95 million.
Scenario 3:
The value of Pre-money valuation is $3.33 per share.
The value of Post-money valuation is $13.33 million.
Scenario 1:
2 million shares of common stock
Pre-money valuation: $5 million / 2 million shares = $2.50 per share
Post-money valuation: $5 million + ($2.50 x 2.5 million shares) = $11.25 million
Scenario 2:
1.8 million shares of preferred stock, convertible to common on a 1 for 1 basis
Pre-money valuation: $5 million / 1.8 million shares = $2.78 per share
Post-money valuation: $5 million + ($2.78 x 2.5 million shares) = $11.95 million
Scenario 3:
1.5 million convertible preferred shares, along with warrants to acquire an additional 1.5 million shares for a nominal price
Pre-money valuation: $5 million / 1.5 million shares = $3.33 per share
Post-money valuation: $5 million + ($3.33 x 2.5 million shares) = $13.33 million
If I were the entrepreneur, I would want to consider the dilution of my ownership, the potential for future funding, and the terms of the investment (such as the conversion and warrant provisions).
I would also want to consider the investor's track record and their ability to provide strategic guidance and support.
If I were the investor, I would interpret the entrepreneur's choice as an indication of their confidence in the company's future success and their willingness to share control and ownership. I would also consider the potential return on my investment and the risks involved.
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The program that searches engines use to find information and create a database of URLs is called
The program that searches engines use to find information and create a database of URLs is called spiders. These computer programs are also called "web crawler" or "robots", and crawl through websites on the Internet, gathering information from all the pages of a website.
What is a WebCrawler?An Internet bot that routinely browses the World Wide Web and is often run by search engines for the purpose of Web indexing is known as a Web crawler, sometimes known as a spider or just a crawler.
A search engine bot, web crawler, or spider downloads and indexes content from all over the Internet. Such a bot aims to learn the topics of practically all online pages so that it may later retrieve the information when required.
Therefore, a spider or web crawler is a program, that searches engines use to find information and create a database of URLs.
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If interest rate in USA is 2.5% whereas it is 4.25% in UK and the spot exchange rate is given as $1.32/GBP. Then what will be the expected exchange rate next year, 5 years from today and after 10 years according to Interest rate parity theory
The expected exchange rate next year is $1.3415/GBP, 5 years from today is $1.4085/GBP, and 10 years from today is $1.495/GBP.
According to the Interest Rate Parity Theory, the difference in interest rates between two countries is equal to the difference in the expected future exchange rates. In other words, the expected future exchange rate can be calculated by adding the difference in interest rates to the current exchange rate.
The formula for calculating the expected future exchange rate is:
Expected future exchange rate = Spot exchange rate + (Interest rate difference × Time period)
For next year:
Interest rate difference = 4.25% - 2.5% = 1.75%
Time period = 1 year
Expected future exchange rate = $1.32 + (1.75% × 1) = $1.3415/GBP
For 5 years from today:
Interest rate difference = 4.25% - 2.5% = 1.75%
Time period = 5 years
Expected future exchange rate = $1.32 + (1.75% × 5) = $1.4085/GBP
For 10 years from today:
Interest rate difference = 4.25% - 2.5% = 1.75%
Time period = 10 years
Expected future exchange rate = $1.32 + (1.75% × 10) = $1.495/GBP
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Why change is so difficult for people? Change is often seen as a negative thing due to fear, uncertainty and unseen consequences it may bring with it for the people and which is why change is so difficult for the people to accept.
Change can be difficult for people for a variety of reasons. One of the biggest reasons is fear. People are often afraid of the unknown and uncertain. When we are faced with change, we are often faced with a lot of uncertainty about what the future will bring. This fear of the unknown can make change feel daunting and difficult.
Another reason why change is difficult for people is because of the unseen consequences it may bring. Change can have a ripple effect on our lives, affecting not only us, but also those around us. The potential for unseen consequences can make change feel risky and overwhelming.
Finally, change is often seen as a negative thing because it requires us to let go of what is familiar and comfortable. We often have a strong attachment to the way things are, and change requires us to let go of that attachment and embrace something new. This can be difficult for many people, and is one of the reasons why change is so challenging.
Overall, change is difficult for people because it involves fear, uncertainty, and unseen consequences. However, it is important to remember that change can also bring growth and opportunity. By embracing change and facing our fears, we can create a better future for ourselves and those around us.
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Question 3 (0.4 points) Questions 3-5. The TecOne Corporation is about to begin producing and selling its prototype product. Annual cash flows for the next five years are forecasted as: Year 1 = $50,000, Year 2 = -$20,000, Year 3 = $100,000, Year 4 = $400,000, and Year 5 $800,000. Assume annual cash flows are expected to remain at the $800,000 level after Year 5 (i.e., Year 6 and thereafter). Recall from Chapter 7 that venture investors often use different discount rates when valuing ventures at various stages of their life cycles. For example, target discount rates by life cycle stage are development stage, 50 percent; startup stage, 40 percent; survival stage, 35 percent; and early rapid-growth stage, 30 percent. As ventures move from their late rapid- growth stages and into their maturity stages, a 20 percent discount rate is often used. If TecOne is at startup stage, calculate the venture's present value. No commas, round by one decimal place. Question 4 (0.4 points) Now assume that the Year 6 cash flows are forecasted to be $900,000 in the stepping stone year and are expected to grow at an 6 percent compound annual rate thereafter. Assuming that the TecOne is at startup stage, calculate the venture's present value. Round it, no decimal places.
To calculate the present value of the TecOne Corporation at startup stage, we need to use the following formula:
PV = CF1/(1+r)^1 + CF2/(1+r)^2 + CF3/(1+r)^3 + CF4/(1+r)^4 + CF5/(1+r)^5 + CF6/(1+r)^6 + ...
Where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of years.
Given that the TecOne Corporation is at startup stage, the discount rate is 40 percent or 0.40. The cash flows for the next five years are $50,000, -$20,000, $100,000, $400,000, and $800,000. And the cash flows for Year 6 and thereafter are expected to remain at the $800,000 level.
Plugging these values into the formula, we get:
PV = $50,000/(1+0.40)^1 + (-$20,000)/(1+0.40)^2 + $100,000/(1+0.40)^3 + $400,000/(1+0.40)^4 + $800,000/(1+0.40)^5 + $800,000/(1+0.40)^6 + ...
PV = $35,714.29 + (-$10,204.08) + $51,020.41 + $204,081.63 + $326,530.61 + $208,791.17 + ...
PV = $816,933.03
Therefore, the present value of the TecOne Corporation at startup stage is $816,933.03.
Answer 4:
Now, if the Year 6 cash flows are forecasted to be $900,000 in the stepping stone year and are expected to grow at an 6 percent compound annual rate thereafter, we need to modify the formula to account for the growth rate:
PV = CF1/(1+r)^1 + CF2/(1+r)^2 + CF3/(1+r)^3 + CF4/(1+r)^4 + CF5/(1+r)^5 + CF6/(1+r)^6 + CF7/(1+r)^7 + ...
Where CF6 is the cash flow for Year 6, and CF7 is the cash flow for Year 7 and thereafter, which is calculated as CF6 * (1+g), where g is the growth rate.
Plugging these values into the formula, we get:
PV = $50,000/(1+0.40)^1 + (-$20,000)/(1+0.40)^2 + $100,000/(1+0.40)^3 + $400,000/(1+0.40)^4 + $800,000/(1+0.40)^5 + $900,000/(1+0.40)^6 + ($900,000 * 1.06)/(1+0.40)^7 + ...
PV = $35,714.29 + (-$10,204.08) + $51,020.41 + $204,081.63 + $326,530.61 + $230,688.98 + $235,670.09 + ...
PV = $1,073,501.93
Therefore, the present value of the TecOne Corporation at startup stage with the new cash flow forecast is $1,073,501.93.
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Your company has arranged a revolving credit agreement for up to$65million at an interest rate of1.34percent per quarter. The agreement also requires your company to maintain a compensating balance of 3 percent of the unused portion of the credit line, to be deposited in a non-interest bearing account. Your company's short-term investment account at the same bank pays an interest rate of 48 per quarter. What is the effective annual interest rate if your company does not use the revolving credit arrangement during the year?
The effective annual interest rate if your company does not use the revolving credit arrangement during the year is 0%.
To calculate the effective annual interest rate, we need to take into account the interest rate, the compensating balance requirement, and the interest earned on the short-term investment account. Since the company does not use the revolving credit agreement during the year, there is no interest charged on the credit line and no compensating balance requirement. Additionally, the interest earned on the short-term investment account is not relevant to the calculation of the effective annual interest rate for the revolving credit agreement.
Therefore, the effective annual interest rate is 0% because there is no interest charged or earned on the revolving credit agreement.
It is important to note that the revolving credit agreement, also known as a Credit agreement , is a type of loan that allows a company to borrow money up to a certain amount, and only pay interest on the amount borrowed. The compensating balance requirement is a common feature of revolving credit agreements, and requires the borrower to maintain a certain amount of money in a non-interest bearing account as a condition of the loan.
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