Answer:
10.32%
Explanation:
Given :
Long term debt = 325000
Percent of par = 96.1% = 0.96
Market to book ratio = 2.71
Equity = 585000
Cost of debt = 0.0435
Cost of equity = 0.115
Market value of debt:
Bond sell for percent of par × long-term debt
0.96 × $325000
= $312,000
Market value of equity:
Equity × Market-to-book ratio
$585,000 × 2.71
$1585350
Total market value:
Market value of debt + Market value of equity
$312000 + $1585350
= $1897350
Weight of debt:
Market value of debt / Total market value
$312000 ÷ $1897350
= 0.1644
Weight of equity:
= 1 - Weight of debt
= 1 - 0.1644
= 0.8356
WACC:
= (weight of equity × cost of equity) + (weight of debt × cost of debt )
= (0.8356 × 0.115)+(0.1644 × 0.0435)
= 0.1032
= 10.32%
You sell one December futures contracts when the futures price is $1,010 per unit. Each contract is on 100 units and the initial margin per contract that you provide is $2,000. The maintenance margin per contract is $1,500. During the next day the futures price falls to $1,008 per unit. What is the balance of your margin account at the end of the day? a. $3,700b. $1,800c. $2,200d. $1,500
Answer:
b. $1800
Explanation:
Calculation to determine the balance of your margin account at the end of the day
Margin account balance=$2,000-[100*($1008-$1010)]
Margin account balance=$2,000-(100*$2)
Margin account balance=$2,000-$200
Margin account balance=$1,800
Therefore the balance of your margin account at the end of the day is $1,800
The following budget information is available for the XYZ Company for the first quarter of 2011:
Sales ($16 per unit) $320,000
Freight out $.25 per unit sold
Depreciation on Administrative Equipment $10,000
Sales & Admin. Salaries $40,000 +2% of sales
Advertising $12,000
Depreciation on Manufacturing Equipment $15,000
Lease on Sales Building $45,000
Miscellaneous Selling Expenses $5,000
All operating expenses are paid in cash in the month incurred.
If XYZ expects to sell 20,000 inventory units in the first quarter, what would be the amount of the total budgeted selling and administrative expenses for the first quarter of 2011?
a. $123,400
b. $138,400
c. $113,400
d. $293,400
Answer:
The correct answer of Option A (123400).
The correct answer of Option B (113400).
Explanation:
Budgeted Selling Expenses = Fixed Sales and Administration Salaries +
Variable Sales and Administration Expenses
+ Advertising + Miscellaneous Selling
Expenses + Lease on Sales Building +
Frieght Out + Depreciation on Administrative
Equipment
= 40000 + 2%*20000*16 + 12000 + 5000 +
45000 + 20000*.25 + 10000 = 123400
Option A (123400) is the correct answer.
Part B:
Expected Cash Outflow = Fixed Sales and Administration Salaries +
Variable Sales and Administration Expenses +
Advertising + Miscellaneous Selling Expenses +
Lease on Sales Building + Frieght Out
= 40000 + 2%*20000*16 + 12000 + 5000 +
45000 + 20000*.25 = 113400
Option B (113400) is the correct answer.
$1,000 par value bond pays interest of $35 each quarter and will mature in 10 years. If your nominal annual required rate of return is 12 percent with quarterly compounding, how much should you be willing to pay for this bond
Answer:
$1,115.58
Explanation:
Calculation to determine how much should you be willing to pay for this bond
Using this formula
Bond Price= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]
Where,
Par value= $1,000
Cupon= $35
Time= 10*4= 40 quarters
Rate= 0.12/4= 0.03
Let plug in the formula
Bond Price= 35*{[1 - (1.03^-40)] / 0.03} + [1,000/(1.03^40)]
Bond Price= 809.02 + 306.56
Bond Price= $1,115.58
Therefore how much should you be willing to pay for this bond is $1,115.58
______ consists of the activities that managers perform to plan for, attract, develop, and retain an effective workforce.
a) Arbitration
b) Formal appraisal
c) Human capital
d) Orientation
e) Human resource management
A machine operates with the following production cycle: 34 minutes of setup, 70 minutes of production. While in production, the machine produces 3 parts per minute. What is the capacity of the machine in parts per minute
Answer:
The capacity of the machine is 3 parts per minunte
Explanation:
First calculate the total time
Total time = Setup time + Production time
Total time = 34 minutes + 70 minutes
Total time = 104 minutes
Calculate the total units
Total Units = Production per minute x Total Time
Total Units = 3 parts per minutes x 104 minutes
Total Units = 312 parts
Now calculate the parts per minute
Parts per minute = Total Units / Total Time
Parts per minute = 312 parts / 104 minutes
Parts per minute = 3 parts per minunte
If an economy experiences deflation, the real interest rate will be greater than the nominal interest rate. will be negative when the nominal interest rate is positive. will be less than the nominal interest rate. will be equal to the deflation rate, so long as the nominal interest rate is positive.
Answer:
will be greater than the nominal interest rate.
Explanation:
Inflation can be defined as the persistent general rise in the price of goods and services in an economy at a specific period of time.
Generally, inflation usually causes the value of money to fall and as a result, it imposes more cost on an economy.
Deflation can be defined as a fall or decrease in the overall price level of goods and services in an economy, so that inflation becomes negative while causing an increase in the purchasing power of a currency. Thus, an economy experiences a deflation when its inflation rate becomes negative i.e falls below zero percent (0%).
Furthermore, if an economy experiences deflation, the real interest rate will be greater than the nominal interest rate due to a negative inflation.
Mathematically, deflation is given by the formula;
Real interest rate - Nominal interest rate = - Inflation
Determine the promotional price of each item at each store. Item Original Price Discount (Dollars) $15.00 Off 40% Off (Dollars) (Dollars) A music box$75 $ $ A faux Ming vase$60.00 $ $ Suppose a friend of yours wants to buy a crystal candlestick. You remember seeing this item at both Annie's Attic and Betty's Breakables, but you do not remember the price. What advice should you give your friend in this situation
Answer:
Go to Betty breakables when the price of the crystal candle is > $37.5
Explanation:
Annie's attic offers $15 off any purchase
Betty breakables offers 40% off any purchase
For both stores
Music box = $75 ( non discounted price )
Faux Ming vase = $60 ( non discounted price )
Discounted prices for Music box
For Annie's attic = 75 - 15 = $60
For Betty breakables = 75 - ( 40% * 75 ) = $45
Discounted prices for Faux Ming vase
For Annie attic = 60 - 15 = $45
For Betty breakables = 60 - ( 40% *60 ) = $36
lets assume the price of the Crystal candle to be x
we will buy from betty breakables If 40% of x > $15 discount offered by Annie's
40/ 100 * x > 15
x > 100/40 * 15
x > 37.5
Go to Betty breakables when the price of the crystal candle is > $37.5
7. Liqin fixes up old cars and sells them to supplement his retirement income. Liqin came across a beat-up 1955 Corvette that she is considering rebuilding and selling. She estimates a 0.2 probability that she will gain 15% on the deal, a 0.2 probability that she will gain 10%, and a 0.6 probability that she will gain 5%. Liqin's expected return for fixing up and selling the Corvette is ____%. a. 8 b. 11 c. 20 d. 30
Answer:
a. 8%
Explanation:
Expected Return = [(Return*Probability)+(Return*Probability)+(Return*Probability) * 100%]
Expected Return = [{(15%*0.2)+(10%*0.2)+(5%*0.6)} * 100]%
Expected Return = [{(0.15*0.2)+(0.1*0.2)+(0.05*0.6)} * 100]%
Expected Return = [{0.03+0.02+0.03} * 100]%
Expected Return = [{0.08 * 100}]%
Expected Return = 8%
So, Liqin's expected return for fixing up and selling the Corvette is 8%.
Freedom Co. purchased a new machine on July 2, 2019, at a total installed cost of $49,000. The machine has an estimated life of five years and an estimated salvage value of $6,600. Required: Calculate the depreciation expense for each year of the asset's life using: Straight-line depreciation. Double-declining-balance depreciation. How much depreciation expense should be recorded by Freedom Co. for its fiscal year ended December 31, 2019, under each method
Answer:. See explanation
Explanation:
1. The depreciation under the straight line method will be calculated as:
= ( cost - salvage value)/no of years
= (49000 - 6600)/5
= $42400/5
= $8480 per year
2. Using the Double-declining-balance depreciation, the depreciation will be calculated thus:
Double declining rate = 8480/42400 × 2 = 40%
Yr 1: beginning book value = $49000
Depreciation rate = 40%
Depreciation = $49000 × 0.4 = $19600
Ending book value = $29400
Yr 2: beginning book value = $29400
Depreciation rate = 40%
Depreciation = $29400 × 0.4 = $11760
Ending book value = $17640
Yr3: beginning book value = $17640
Depreciation rate = 40%
Depreciation = $17640 × 0.4 = $7056
Ending book value = $10584
Yr4: beginning book value = $10584
Depreciation rate = 40%
Depreciation = $3884 Savage value
Ending book value = $6700
In order to present an accurate picture of the financial health of his company, Bob reported all of the expenses that had been incurred, even if they had not been paid yet. Bob is practicing the __________ principle.
a.) matching
b.) measurement/cost
c.) time period
d.) full disclosure
Answer:
a.) matching
Explanation:
Matching principle is the accounting principle in which the expenses incurred should be recorded at the same period when the revenues are earned. Also the business incurred the expenses in order to earn the revenues
So as per the given situation since Bob recognized the expenses but it is not paid so here he is using the matching principle
Therefore the option a is correct
Femur Co. acquired 70% of the voting common stock of Harbor Corp. on January 1, 2014. During 2014, Harbor had revenues of $2,500,000 and expenses of $2,000,000. The amortization of excess cost allocations totaled $60,000 in 2014. What is the effect of including Harbor in consolidated net income for 2014
Answer:
$440,000
Explanation:
Calculation to determine the effect of including Harbor in consolidated net income for 2014
Using this formula
Effect of including Harbor in consolidated net income for 2014=Revenues-Expenses-Excess cost allocations
Let plug in the formula
Effect of including Harbor in consolidated net income for 2014=$2,500,000-$2,000,000-$60,000
Effect of including Harbor in consolidated net income for 2014=$440,000
Therefore Effect of including Harbor in consolidated net income for 2014 will be $440,000
incurred $10,000 of portfolio income. Its corporate trustee paid fiduciary fees of $1,000 therefrom, and also paid $1,000 in premiums for a life insurance policy on Marcia, the grantor of the trust. How much gross income does Marcia include with respect to these trust activities
Answer:
$1000
Explanation:
Portfolio income = $10,000
Fiduciary fees = $1,000
premiums paid for life insurance on Marcia = $1000
Fiduciary fees are fees charged by trustees and executors for services that they rendered
Therefore The amount of gross income Marcia will include being the grantor of the trust = $1000 ( 10% of portfolio income )
An entrepreneur founded his company using $250,000 of his own money, issuing himself 200,000 shares of stock. An angel investor bought an additional 100,000 shares for $200,000. The entrepreneur now sells another 400,000 shares of stock to a venture capitalist for$2 million. What is the post-money valuation of the company?
Answer:
$3,500,000
Explanation:
the total number of shares
= 200000 + 100000 + 400000
= 700000 shares
value of 400000 shares = 2 million dollars
such that 1 share = 2 million/400000
= 5
total value of the shares = 5 * 700000
= $3,500,000
therefore we conclude that the post money valuation of this company is $3,500,000
Because there isn't one single measure of inflation, the government and researchers use a variety of methods to get the most balanced picture of how prices fluctuate in the economy. Two of the most commonly used price indexes are the consumer price index (CPI) and the GDP deflator.
The GDP price index for this year is calculated by dividing the ______________using __________ by the_____________ using _______________ and multiplying by 100.
Indicate whether each scenario will affect the GDP deflator or the CPI for the United States.
a. A decrease in the price of a Waterman Industries deep-water reel, which is a commercial fishing product used for deep-sea fishing
b. An increase in the price of a Japanese-made television that is popular among U.S. consumers
Answer:
An apple, potato, and onion all taste the same if you eat them with your nose plugged
Explanation:
The Taylor rule specifies how policymakers should set the federal funds rate target. Suppose that U.S. real GDP rises 1% above potential GDP, all else constant. According to the Taylor rule, the Fed should the federal funds rate target by __________ . Suppose instead that the U.S. inflation rate rises by 1%, all else constant. According to the Taylor rule, the Fed should the federal funds rate target by _____________.
Answer:
FED raise the federal funds rate target by 0.5%
FED raise the federal fund rate target by 2%
Explanation:
Taylor Rule states that Federal Funds should raise rates when inflation rises. When Gross domestic products growth of a country is high and above potential level then FED should raise rates. When inflation rises by 1% above target level then federal funds should raise FED by 2%.
_____ 7. While North Americans want to decide the main points at a business meeting and leave the details for later, people in this country need to have all details decided before the meeting ends to avoid suspicion and distrust.
Answer:
"Mexico" is the appropriate answer.
Explanation:
Throughout the case of Mexican individuals, what and when to talk in the discussions or conferences is punctual. Furthermore, you wouldn't overlook the little characteristics because doing so would generate misunderstanding or some complications. You mention as well as continue to talk all about that at the conference.Drag each tile to the correct box.
Arrange the steps in order to show how expansionary fiscal policy
affects an economy.
Tiles
Employment increases to meet the demand of
consumers and businesses.
Consumers and businesses have more money,
Output and prices begin to rise.
The government lowers the tax rate.
Consumers and businesses spend more money.
Answer:
Sample Answer
Explanation:
The steps are being arranged in the following order:
First step: The tax rate is being reduced by the government.Second step: The consumers and businesses have maximum money.Third step: More money spent by consumers and businesses.Fourth step: The demand by consumers is being met due to rising of employment in businesses.Fifth step: There is a rise in output and price of products.What is a fiscal policy?A fiscal policy is one of the policy being applied by the government in order to control the expenditure and taxation structure of country. It helps in increasing the economic growth and reduction of poverty in the country.
The steps in the fiscal policy being implemented in a provided order:
Firstly, the government makes reduction in rates of taxes.Secondly, after tax reductions, the people and business entities get more money for spending and saving.Thirdly, both the entities spent maximum money as they can save more money due to lowering of taxes.Fourth, this increases the demand of goods and services being manufactured which requires more labor to be employed.Fifth, the production output and price of products being risen considerably after increasing demand.Therefore, the steps are being totally matched in the order relating fiscal policy.
Learn more about the fiscal policy in the related link:
https://brainly.com/question/27250647
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Revise the following paragraph by incorporating a bulleted list. This information is to let you know that a high-powered MBA program costs hundreds of dollars an hour. However, our program covers the same information. That information includes entrepreneurship tips as well as how to start a business. You will also learn information about writing a business plan and understanding taxes. In addition, our MBA program covers how to go about writing a marketing feasibility study. Another important topic that our program covers is employment benefits plans.
Answer:
Revision of Paragraph to Incorporate a Bulleted List
A high-powered MBA program costs hundreds of dollars an hour. However, our program covers the same information. That information includes the following:
O entrepreneurship tips as well as how to start a business,
O writing a business plan and understanding taxes,
O writing a marketing feasibility study, and
O employment benefits plans.
Explanation:
To correctly understand a bulleted list, it is important to differentiate it from a numbered list. Each bulleted paragraph is started with a symbol without the use of a number. This means that the list is not ordered in any particular order. On the other hand, a numbered list has a sequential or ordered number for each paragraph list.
Simone founded her company using of her own money, issuing herself shares of stock. An angel investor bought an additional shares for . She now sells another shares of stock to a venture capitalist for million. What is the post-money valuation of the company
Answer:
C) $2,400,000
Explanation:
Here is the complete question
Simone founded her company using $200,000 of her own money, issuing herself 200,000 shares of stock. An angel investor bought an additional 100,000 shares for $150,000. She now sells another 500,000 shares of stock to a venture capitalist for $1.5 million. What is the post-money valuation of the company?
A) $1,200,000
B) $1,320,000
C) $2,400,000
D) $3,600,000
company's value = value per share x total shares
Value per share = total purchasing price / total shares sold
$1.5 million / 500,0000 = $3
Total shares = 500,000 + 200,000 + 100,000 = 800,000
company's value = 800,000 x $3 = $2,400,000
what are the similarities and differences between clv and customer equality these two measures? discuss the strengths and weaknesses of these approaches for measuring customer value. of
Answer:
Customer equity is the sum of all of our CLV's
Explanation:
CLV or customer lifetime value represents the profit that our customers give the company during their commercial relationship with us, while the customer equity is the sum of all of our CLV's, meaning that one is a macro and the other one is a micro reality, both are a statistics that can give us better information for decision making when we are targeting and creating products.
Carley Company purchases a new delivery truck for $45,000. The sales taxes are $3,000. The logo of the company is painted on the side of the truck for $1,200. The truck license is $120. The truck undergoes safety testing for $220. What does Carley record as the cost of the new truck?
1) $47,4202) $49,4203) $48,0004) $49,540
Answer:
$49,420
Explanation:
2) Excellent Mugs Inc. produced 1,600,000 units in 2017 at a units of output per dollar of input cost was $0.09. Its cost of input at 2017 prices that would have been used in 2016 was $20,000,000. How much did the total factor productivity (TFP) increase as a result of 2017 operations
Answer:
the total factor productivity (TFP) increase as a result of 2017 operations is 12.5%
Explanation:
The computation of the total factor productivity (TFP) increase as a result of 2017 operations is given below;
The Unit produced in 2016 is
= $20,000,000 x $0.09
= 1,800,000
Now
Total factor productivity increase for the year 2017 is
= (1,800,000 - 1,600,000) ÷ 1,600,000
= 12.5%
Hence, the total factor productivity (TFP) increase as a result of 2017 operations is 12.5%
Anthony Finley wishes to become a millionaire. His money market fund has a balance of $287,270 and has a guaranteed interest rate of 10%. How many years must Anthony leave that balance in the fund in order to get his desired $1,200,000
Answer:
15 years
Explanation:
The target accumulated future amount is the future value of the initial investment(present value), hence, using the future value formula provided below we can determine the investment time horizon in years required to accumulate the target amount:
FV=PV*(1+r)^n
FV=$1,200,000
PV=$287,270
r=10%
n=investment period in years=unknown
$1,200,000=$287,270*(1+10%)^n
$1,200,000/$287,270=(1+10%)^n
$1,200,000/$287,270=(1.10)^n
take log of both sides
ln($1,200,000/$287,270)=n ln(1.10)
n=ln($1,200,000/$287,270)/ln(1.10)
n=15.00years
Packaging Solutions Corporation manufactures and sells a wide variety of packaging products. Performance reports are prepared monthly for each department. The planning budget and flexible budget for the Production Department are based on the following formulas, where q is the number of labor-hours worked in a month: Cost Formulas Direct labor $16.30q Indirect labor $4,100 + $2.00q Utilities $5,100 + $0.50q Supplies $1,300 + $0.40q Equipment depreciation $18,100 + $2.50q Factory rent $8,500 Property taxes $2,700 Factory administration $13,300 + $0.60q The Production Department planned to work 4,200 labor-hours in March; however, it actually worked 4,000 labor-hours during the month. Its actual costs incurred in March are listed below: Actual Cost Incurred in March Direct labor $ 66,780 Indirect labor $ 11,680 Utilities $ 7,590 Supplies $ 3,190 Equipment depreciation $ 28,100 Factory rent $ 8,900 Property taxes $ 2,700 Factory administration $ 15,050 Required: 1. Prepare the Production Department’s planning budget for the month. 2. Prepare the Production Department’s flexible budget for the month. 3. Calculate the spending variances for all expense items.
Answer:
Packaging Solutions Corporation
1. Planning Budget
Direct labor $68,460
Indirect labor $12,500
Utilities $7,200
Supplies $2,980
Equipment depreciation $28,600
Factory rent $8,500
Property taxes $2,700
Factory administration $15,820
2. Flexible Budget
Direct labor $65,200
Indirect labor $12,100
Utilities $7,100
Supplies $2,900
Equipment depreciation $28,100
Factory rent $8,500
Property taxes $2,700
Factory administration $15,700
3. Spending Variances:
Flexible Actual Spending
Budget Budget Variance
Direct labor $65,200 $66,780 $1,580 U
Indirect labor $12,100 $11,680 $420 F
Utilities $7,100 $7,590 $490 U
Supplies $2,900 $3,190 $290 U
Equipment depreciation $28,100 $28,100 $0 None
Factory rent $8,500 $8,500 $0 None
Property taxes $2,700 $2,700 $0 None
Factory administration $15,700 $15,050 $650 F
Explanation:
a) Data and Calculations:
Planned labor-hours in March = 4,200
Actual labor-hours in March = 4,000
Cost Formulas
Direct labor $16.30q
Indirect labor $4,100 + $2.00q
Utilities $5,100 + $0.50q
Supplies $1,300 + $0.40q
Equipment depreciation $18,100 + $2.50q
Factory rent $8,500
Property taxes $2,700
Factory administration $13,300 + $0.60q
Actual Cost Incurred In March:
Direct labor $ 66,780
Indirect labor $ 11,680
Utilities $ 7,590
Supplies $ 3,190
Equipment depreciation $ 28,100
Factory rent $ 8,900
Property taxes $ 2,700
Factory administration $ 15,050
Flexible Budget:
Direct labor $16.30 * 4,000 = $65,200
Indirect labor $4,100 + $2.00 * 4,000 = $12,100
Utilities $5,100 + $0.50 * 4,000 = $7,100
Supplies $1,300 + $0.40 * 4,000 = $2,900
Equipment depreciation $18,100 + $2.50 * 4,000 = $28,100
Factory rent $8,500
Property taxes $2,700
Factory administration $13,300 + $0.60 * 4,000 = $15,700
Planning Budget
Direct labor $16.30 * 4,200 = $68,460
Indirect labor $4,100 + $2.00 * 4,200 = $12,500
Utilities $5,100 + $0.50 * 4,200 $7,200
Supplies $1,300 + $0.40 * 4,200 $2,980
Equipment depreciation $18,100 + $2.50 * 4,200 = $28,600
Factory rent $8,500
Property taxes $2,700
Factory administration $13,300 + $0.60 * 4,200 = $15,820
The CVP income statement is distributed internally and externally. discloses contribution margin in the body of the statement. will reflect a different net income than the traditional income statement. classifies costs by functions.
Answer:
discloses contribution margin in the body of the statement
Explanation:
the CVP income statement is used for managerial accounting, in other words, only for internal processes.
the CVP income statement may or may not reflect a different net income than a traditional income statement.
the CVP income statement classifies costs are variable or fixed
Which best describes how advertising influences consumer choice in an oligopoly?
© Advertising coaxes people to buy new products.
Advertising alerts consumers to price reductions.
• Advertising undermines competition.
• Advertising informs brand knowledge.
Answer:
• Advertising undermines competition.
Explanation:
Oligopoly is a market structure which contains the small kind of firms in that it have non-significant influence. The concentration ratio defines the highest firms market share
As per the given options, the advertising impact the choice for the consumer in an oligopoly at the time when advertising undermines the competition
Therefore the option b is correct
And, the rest of the options are wrong
Answer:
D
Explanation:
Problem 14-8 (Static) Bonds; effective interest; partial period interest; financial statement effects [LO14-2] The fiscal year ends December 31 for Lake Hamilton Development. To provide funding for its Moonlight Bay project, LHD issued 5% bonds with a face amount of $500,000 on November 1, 2021. The bonds sold for $442,215, a price to yield the market rate of 6%. The bonds mature October 31, 2041 (20 years). Interest is paid semiannually on April 30 and October 31 and is determined using the effective interest method. Required: 1. What amount of interest expense related to the bonds will LHD report in its income statement for the year ending December 31, 2021
Answer:
Lake Hamilton Development (LHD)
The amount of interest expense related to the bonds will LHD report in its income statement for the year ending December 31, 2021 is:
= $4,422.
Explanation:
a) Data and Calculations:
November 1, 2021
Face value of bonds issued = $500,000
Bonds issue price = 442,215
Discounts on bonds = $57,785
Maturity period = 20 years on October 31, 2041
Interest rate on the bonds = 5% paid semiannually
Interest payment dates = April 30 and October 31
Effective interest rate = 6%
For the two months of 2021:
Interest Payable = $4,167 ($500,000 * 5% * 2/12)
Discount amortization $255 ($4,422 - $4,167)
Interest Expense = $4,422 ($442,215 * 6% * 2/12)
who is prime minister of Nepal
You are evaluating an investment that will provide the following cash flows at the end of each of the following years: year 1, $12,500; year 2, $10,000; year 3, $7,500; year 4, $5,000; year 5, $2,500; year 6, $0; and year 7, $12,500. Given its risk, you believe this investment should earn a 9% return. 4. What is the maximum that you can pay today for this investment
Answer:
$37,680.95
Explanation:
The maximum i would be willing to pay is the present value of the cash flows
Present value is the sum of discounted cash flows
Present value can be calculated using a financial calculator
Cash flow in year 1 = $12,500
Cash flow in year 2 = $10,000
Cash flow in year 3 = $7,500
Cash flow in year 4 = $5,000
Cash flow in year 5 = $2,500
Cash flow in year 6 = 0
Cash flow in year 7 $12,500
I = 9%
PV = $37,680.95
To find the PV using a financial calculator:
1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.
2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.
3. Press compute
A deposit of $90 is placed into a college fund at the beginning of every week for 5 years. The fund earns 3% annual interest, compounded weekly, and paid at the end of the week. How much is in the account right after the last deposit
Answer:
$25,249.50
Explanation:
Deposit at the beginning of every 6 month (A) = 90
Time period (t) = 5
n = 52
Rate (r) = 3% = 0.03
So, the net amount in the account right after the last deposit is as follows:
= A * [(1+r/n)^(n*t) - 1 / r/n] * (1 + r/n)
= 90 * [(1+0.03/52)^(52*5) - 1 / 0.03/52] * (1 + 0.03/52)
= 90 * [(1.16178399147 - 1 / 0.000577] * (1+0.000577)
= 90 * 280.3882 * 1.000577
= 25249.498559226
= $25,249.50
Answer:
Explanation:
The value of the initial deposit is $90, so a1=90. A total of 260 weekly deposits are made in the 5 years, so n=260. To find r, divide the annual interest rate by 52 to find the weekly interest rate and add 1 to represent the new weekly deposit.
r=1+0.0352=1.00057692308
Substitute a1=90, n=260, and r=1.00057692308 into the formula for the sum of the first n terms of a geometric series and simplify to find the value of the annuity.
S260= 90(1−1.00057692308260) / 1−1.00057692308 ≈25238.31
Therefore, to the nearest dollar, the account has $25,238 after the last deposit is made.
This is the correct answer for Knewton. That's the explanation.
