An annuity provides for 30 annual payments. The first payment of 100 is made immediately and the remaining payments increase by 8 percent per annum. Interest is calculated at 13.4 percent per annum. Calculate the present value of this annuity.

Answers

Answer 1

Answer:

$1423.38

Explanation:

number of payments ( number of years )(n) = 30

first payment = $100

interest calculated at : 13.4 % = 0.134

increment rate : 8 percent = 0.08

we can calculate the present value using this Equation

= (p / (r-g))  * [1 - [(1+g)/(1+r)]^n ]

where :

p / (r-g) = 100 / (0.134 - 0.08 ) = $1852

[1 - ((1+g)/(1+r)]^n ) =  (1 - ((1.08/1.134)^30 ) =  0.7686

hence the present value of this annuity = $1852 * 0.7686 = $1423.38

Note :

p ( first principal payment ) = $100

r ( calculated interest ) = 13.4% = 0.134

g ( increment interest ) = 8 % = 0.08


Related Questions

A report stating whether the company has complied with restrictive covenants related to officer compensation and payment of dividends contained in a bank loan agreement.

Answers

Answer: An attestation service other than an audit service

Explanation:

Attestation services is simply when a conclusion is made on the financial statement of an organization or a company by a certified public accountant.

Therefore, it will be a report stating whether the company has complied with restrictive covenants related to officer compensation and payment of dividends contained in a bank loan agreement.

The common stock of Flavorful Teas has an expected return of 19.65 percent. The return on the market is 14.5 percent and the risk-free rate of return is 4.2 percent. What is the beta of this stock?

Answers

Answer:

beta= 1.5

Explanation:

The common stock of flavorful tea has an expected return of 19.65%

The return on the market is 14.5%

The risk-free rate is 4.2%

Therefore, the beta of the stock can be calculated as follows

Required return= Risk free rate+beta(market rate-risk free rate)

19.65%= 4.2%+beta(14.5%-4.2%)

19.65%= 4.2% + 14.5beta-4.2beta

19.65%= 4.2% + 10.3beta

19.65%-4.2%= 10.3beta

15.45%= 10.3beta

beta= 15.45/10.3

beta= 1.5

Hence the beta of this stock is 1.5

Consider the following information and then calculate the required rate of return for the Global Investment Fund, which holds 4 stocks. The market’s required rate of return is 13.25%, the risk-free rate is 7.00%, and the Fund’s assets are as follows:(hint: market beta =1.0) Stock Investment Beta A $ 200,000 1.50 B 300,000 −0.50 C 500,000 1.25 D $1,000,000 0.75

Answers

Answer:

11.77%

Explanation:

total investment = $200,000 + $300,000 + $500,000 + $1,000,000 = $2,000,000

stock    weight                                         beta             total

A          $200,000 / $2,000,000             1.5               0.15

B          $300,000 / $2,000,000             -0.5            -0.075

C          $500,000 / $2,000,000             1.25            0.3125

D          $1,000,000 / $2,000,000           0.75           0.375

Portfolio                                                                       0.7625

required rate of return = Rf + beta(Rm - Rf) = 7% + 0.7625(13.25% - 7%) = 11.7656% = 11.77%

what is the price of a 5 year bond that has a coupon rate of 7% with each coupon paid semi annually. The current market rate is 6%. Assume a par value of 1000

Answers

Answer:

The answer is $1,042.65

Explanation:

Coupon payment being done semiannually means it is paid twice in a year

N(Number of periods) = 10 periods ( 5 years x 2)

I/Y(Yield to maturity) = 3 percent( 6 percent ÷ 2)

PV(present value or market price) = ?

PMT( coupon payment) = $35 ( [7 percent÷ 2] x $1,000)

FV( Future value or par value) = $1,000.

We are using a Financial calculator for this.

N= 10; I/Y = 3; PMT = 35; FV= $1,000; CPT PV= -1,042.65

Therefore, the market price of the bond is $1,042.65

Fitness Bands Corporation gathered the following information for Job​ #928: Standard Total Cost Actual Total Cost Direct materials ​Standard: pints at ​/pint ​Actual: pints at ​/pint What is the direct materials quantity​ variance?

Answers

Question:                                      

                                                            standard total cost        Actual total cost

Direct material

Standard  2000 pints  $3.50/pint                   $7,000

Actual      2,500 pints   $5.00/pint                                                       $12,000

Answer:

Materials quantity​ variance= $1,750 unfavorable

Explanation:

Material quantity variance occurs when the actual quantity used to achieved a given level of output is more or less than the standard quantity.  

It is determined by the difference between the actual and standard quantity of material for the actual level of output multiplied by the the standard price  

                                                                                               pints

Standard quantity allowed                                                  2,000

Actual quantity used                                                           2,500

Quantity variance                                                                 500 unfavorable

Standard price                                                                     $3.50

Materials quantity​ variance                                               1,750  unfavorable

Materials quantity​ variance= $1,750 unfavorable

If a bank that faces a 10% reserve ratio received a deposit of $50,000 and makes a loan to a customer for $5,000, what is the consequence if the bank then deposits the rest of the funds at the Federal Reserve?

Answers

Answer:

Excess reserve increases by $40,000

Required reserve increases by $5,000

Explanation:

In order to calculate the reserve, we need to multiply the Deposit received by a required reserve ratio.

DATA

Reserve ratio = 10%

Deposit received = $50,000

Loan to customer = $5,000

Solution

Reserve =  Deposit x Required reserve ratio

Reserve = $50,000 x 10%

Reserve = $5,000

After providing a $5,000 loan to the customer and keeping $5,000 as a reserve remaining $40,000 would be deposited in the Federal Reserve.

Ben and Jerry were shareholders of water ice, inc., an s corporation. On january 1, year 1, Ben owned 40 shares and Jerry owned 60 shares. Ben sold his shares to Joe for $10,000 on March 31, 2011. The corporation reported a $50,000 loss at the end of 2011. How much of the loss is allocated to Joe?
A. $12,500.
B. $10,000.
C. $20,000.
D. $15,068.

Answers

Answer:

Option D. $15,068

Explanation:

The share of Ben will 40% of the loss if he does not sells the shares which is:

Ben's Share of Loss  = $50,000 * 40% = $20,000

But Ben sold his 40% to Joe on March 31, 2011. This means 90/365 days of the year, Ben owned the shares. Hence:

Ben's share of loss = $20,000 * 90/ 365 = $4,931.5

The remainder is Joe's share of loss which is:

Joe's Share of Loss =  $20,000 - $4,931.5 = $15,068

Hence the option D is correct.

If an applicant is not hired because the applicant has previously claimed overtime which they were owed, they are likely to be covered under the

Answers

Answer: Fair Labor Standards Act

Explanation:

The Fair Labor Act which is enforced by the US Department of Labor is meant to govern issues of remuneration in labor such as minimum wages and overtime pay. This Act applies to private workers at the Federal, State and Local levels of Government.

This Act stipulates that Overtime should be paid to an employee with certain conditions attached and if those conditions are fulfilled, the company ought to pay the employee that Overtime. If the Employee demands their overtime and is subsequently treated unfairly in hiring, the Department of Labor will be able to protect the Employee under this Act.

On February 1, 2020, Pat Weaver Inc. (PWI) issued 9%, $1,200,000 bonds for $1,500,000. PWI retired all of these bonds on January 1, 2021, at 105. Unamortized bond premium on that date was $126,000. How much gain or loss should be recognized on this bond retirement

Answers

Answer: Gain on bond retirement = $66,000

Explanation:

A gain on retirement of bonds occurs when a bond issuer or a corporation  buys back bonds which it previously sold for an amount  less than the book  value of the particular liability while a loss would be recognized if the bought back bonds are more than the amount of the book value of the liability.

Book value / Carrying value =  $1,200,000 + $126,000 =$1,326,000

paid at redemption = $1,200,000 x 105%= $1, 260,000

Gain on bond retirement = Book/ Carrying value -Amount paid at redemption

= $1,326,000 - $1, 260,000 = $66,000

When gasoline gallons are priced in terms of number of seashells, seashells serve as: Group of answer choices

Answers

Answer:

Unit of account

Explanation:

Money serves three functions :

1. Unit of account : money serves the function of determining the value of a good or service. It is usually assumed that goods that are more highly priced are more valuable that goods that have lower prices

2. Medium of exchange : goods and services can be exchanged for money. For example, if I want to buy a gallon of gasoline and pay 4 seashells, money has served as a medium of exchange.

3. store of value: money can be saved, retrieved and exchanged sometimes in the future

Tri-Coat Paints has a current market value of $41 per share with earnings of $3.64. What is the present value of its growth opportunities (PVGO) if the required return is 9%? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Answers

Answer:

$0.56

Explanation:

Tri-coat paints has a current market value of $41 per share

They also have an earning of $3.64

The required return is 9%

= 9/100

= 0.09

Therefore, the present value of its growth opportunities can be calculated as follows

= $41-($3.64/0.09)

= $41-40.44

= $0.56

Hence the present value of its growth opportunities is $0.56

You want to make a one-time deposit today that will increase in value to $100 at the end of this year. Which rate of interest will allow you to deposit the least amount today to reach this goal

Answers

Answer:

The rate of interest is 11.111%

The Deposit should be $90 today.

The future value at the end of this year will be $100.

Explanation:

Future value of $100

Present value of $100 at 11.111% = $100/11.111 = $90

The future value of a deposit today is the value after a period of one year or so periods.  The rate of interest produces the discount factor that can calculate the present value of $100.  To make a one-time deposit of $90 today will increase in value to $100 using an interest rate of 11.111%.

Which of the following acts requires that a trustee be appointed for sales of bonds, debentures, and other debt securities of public corporations?

a. Securities Investor Protection Act
b.Trust Indenture Act
c. Investment Company Act
d. Investment Advisors Act

Answers

Answer:

The correct answer is the option B: Trust Indenture Act.

Explanation:

To begin with, the name of "Trust Indenture Act of 1939" or TIA refers to the an american law that specifically supplements the Securities Act of 1933 and whose purpose is basically put more safety in the cases where debt securities are distributed in the United States. It does it by requiring the appointment of a suitably and totally independent trustee who is qualified and has the only job to act for the benefit of the holders of those securities, that could be bonds, debentures or others. In addition, this act is managed obviously by the same agent as the other one, the Securities and Exchange Commission

Highly liquid assets: A. include all intangible assets. B. generally produce a high rate of return. C. increase the probability a firm will face financial distress. D. appear on the right side of a balance sheet. E. can be sold quickly at close to full value.

Answers

Answer:

E. can be sold quickly at close to full value.

Explanation:

Highly liquid assets are assets that  can be sold quickly at close to full value. They are assets that can be easily converted to cash. Cash is the most liquid asset.

On January 22, Jefferson County Rocks Inc., a marble contractor, issued for cash 180,000 shares of $20 par common stock at $23, and on February 27, it issued for cash 25,000 shares of preferred stock, $7 par at $9.
A. Journalize the entries for January 22 and February 27.
Jan. 22 Cash
Common Stock
Paid-In Capital in Excess of Par-Common Stock
Feb. 27 Cash
Preferred Stock
Paid-In Capital in Excess of Par-Preferred
B. What is the total amount invested (total paid-in capital) by all stockholders as of February 27?

Answers

Answer:

A. Journalize the entries for January 22 and February 27.

January 22, 202x, common stocks issued:

Dr Cash 4,140,000

    Cr Common stock 3,600,000

    Cr Additional paid in capital: common stock 540,000

February 27, 202x, preferred stocks issued:

Dr Cash 225,000

    Cr Preferred stock 175,000

    Cr Additional paid in capital: preferred stock 50,000

B. What is the total amount invested (total paid-in capital) by all stockholders as of February 27?

$4,140,000 + $225,000 = $4,365,000

A company decides not to pay dividends to stockholders, but the company is requested to pay interest to debt holders. What does this mean about the performance of the company?

Answers

Answer: Poor Performance

Explanation:

Options are not available but the foremost reason why a company would decline to pay dividends but still be requested to pay interest to debt holders is that they performed poorly.

Dividends are based on how much net income the company got for the period and so if a company performs poorly, they should not pay out dividends as it will put them in financial difficulty.

Interest payments however have to be paid regardless of if the company made a profit or not. So even if the company performed poorly, they would still be requested to pay interest to debt holders.

MacKenzie Company sold $180 of merchandise to a customer who used a Regional Bank credit card. Regional Bank deducts a 4% service charge for sales on its credit cards. MacKenzie electronically remits the credit card sales receipts to the credit card company and receives payment immediately. The journal entry to record this sale transaction would be

Answers

Answer:

DR Cash................................................ $172.8 0

DR Credit card expense.......................$7.2 0

CR Sales.................................................................... $180

Explanation:

The bank will deduct a service charge of 4% before remitting the money so;

Cash = 180 * ( 1 - 0.04)

= $172.80

Credit Card expense

= 180 - 172.80

= $7.20

Alpha Industries is considering a project with an initial cost of $9.1 million. The project will produce cash inflows of $1.84 million per year for 7 years. The project has the same risk as the firm. The firm has a pretax cost of debt of 5.94 percent and a cost of equity of 11.49 percent. The debt–equity ratio is .71 and the tax rate is 40 percent. What is the net present value of the project?

Answers

Answer:

NPV = $1.22  million

Explanation:

The Net present value (NPV) is the difference between the Present value (PV) of cash inflows and the PV of cash outflows. A positive NPV implies a good investment decision and a negative figure implies the opposite.  

NPV of an investment:  

NPV = PV of Cash inflows - PV of cash outflow  

To work oit the NPV we would need to determine the discount rate i.e cost of capital as follows:

Cost of capital -discount rate -

WACC = We×Ke + Wd×Kd

After cost o debt = 5.94× (1-0.4)=3.56

WACC = (0.71×3.56 %)  + (0.29×11.49%)=5.86 %

PV of cash inflow = A× (1- (1+r)^(-n))/r

A- annul cash inflow, r- 5.86%, n- 7

PV of cash inflow= 1.84 million × (1- 1.0586^(-7))/0.0586 =10.32

Initial cost = 9.1 million

NPV = 10.32  - 9.1 =  1.22 million

NPV = $1.22  million

What's the present value of $4,500 discounted back 5 years if the appropriate interest rate is 4.5%, compounded semiannually?

Answers

Answer:

The present value = $3,602.30

Explanation:

To calculate this, we will use the formula for calculating the future value for an amount invested, compounded semiannually at a certain interest rate. This is done as follows:

[tex]FV\ =\ PV(1+\frac{r}{n})^{(n\times t)}\\[/tex]

where:

FV = Future value = $4,500

PV = Present value = ??

r = interest rate = 4.5% = 4.5/100 = 0.045

n = number of compunding period per year = semiannually = 2

t = time = 5

[tex]4,500\ =\ PV(1+\frac{0.045}{2})^{(2\times 5)}\\\\4,500 = PV( 1+0.0225)^{10}\\4,500 = PV(1.0225)^{10}\\4,500 = PV (1.249203)\\Dividing\ both\ sides\ by\ 1.249203\ and\ making\ PV\ the\ subject\ of\ the\ formula\\\PV = \frac{4,500}{1.249203} \\PV= 3,602.297[/tex]

Therefore, the present value = $3,602.30

TB MC Qu. 9-251 Turrubiates Corporation makes a product that ... Turrubiates Corporation makes a product that uses a material with the following standards: Standard quantity 6.7 liters per unit Standard price $ 1.20 per liter Standard cost $ 8.04 per unit The company budgeted for production of 2,500 units in April, but actual production was 2,600 units. The company used 18,000 liters of direct material to produce this output. The company purchased 18,800 liters of the direct material at $1.30 per liter. The direct materials purchases variance is computed when the materials are purchased. The materials quantity variance for April is:

Answers

Answer:

Direct material quantity variance= $696 unfavorable

Explanation:

Giving the following information:

Standard quantity 6.7 liters per unit

Standard price $ 1.20 per liter

Actual production was 2,600 units.

The company used 18,000 liters of direct material to produce this output.

To calculate the direct material quantity variance, we need to use the following formula:

Direct material quantity variance= (standard quantity - actual quantity)*standard price

Standard quantity= 6.7*2,600= 17,420

Direct material quantity variance= (17,420 - 18,000)*1.2

Direct material quantity variance= $696 unfavorable

Suppose that a museum of modern art discovers the following: adults are willing to pay $20 per ticket to see a Monet exhibit. Students are willing to pay less; 60% of students have WTP of $15, and 40% are willing to pay up to $10. There are no marginal costs to allowing more viewers into the museum. The museum manager decides to set the regular price at $20, and offer a student discount. What discount should it offer?

Answers

Answer:

50%

Explanation:

From the question we have here

If adults would pay 20$

Out of a 100% students:

60% would pay 15

40% would pay 10

If regular price = 20$

We are required to find discount

Discount = (20 - 10)/20 x 100

Discount = 0.5 x 100

Discount = 50%

The museum should offer 50percent discount.

Samm Corp. purchased a plot of land for $100,000. The cost to raze a building on the property amounted to $50,000 and Samm received $10,000 from the sale of scrap materials. Samm built a new plant on the site at a total cost of $800,000 including excavation costs of $30,000. What amount should Samm capitalize in its land account?
a. $150,000.
b. $140,000.
c. $130,000.
d. $100,000.

Answers

Answer:

$140,000

Explanation:

Sam corporation purchased a plot of land for $100,000

The cost to raze a building on the property is $50,000

Sam received $10,000 from the sale of scrap materials

$800,000 was spent by Sam to build a new plant in the site

The excavation costs was $30,000

Therefore, the amount that Samm should capitalize in its land account can be calculated as follows

= cost of land+ cost to raze a building on the property - sale of scrape materials

= $100,000 + $50,000 - $10,000

= $150,000-$10,000

= $140,000

Hence Samm should capitalize $140,000 in its land account.

If the actual quantity of direct materials used in producing a commodity differs from the standard quantity, the variance is a

Answers

Answer:

quantity variance

Explanation:

Quantity variance is a variance that compares standard quantity of materials that should have been used to the actual materials used. This type of variance is used by firms to know the difference between actual usage of materials and it's expected usage.

Where the actual usage is more than the expected usage, it is adverse ; while it is favorable if the expected usage is more than the actual usage.

Variable versus absorption costing Colorado Business Tools, manufactures calculators. Costs incurred in making 9,500 calculators in February included 29,450 of fixed manufacturing overhead. The total absorption cost per calculator was $10.25.

Required:

a. Calculate the variable cost per calculator.

b. The ending inventory of pocket calculators was 750 units higher at the end of the month than at the beginning of the month. By how much and in what direction (higher or lower) would operating income for the month of February be different under variable costing than under absorption costing?

c. Express the pocket calculator cost in a cost formula.

Answers

Answer:

Variable cost per unit = 7.15

Difference in profit = $2,325

Cost formula : Y =    3.1 + 7.15X

Explanation:

Variable cost per calculator =Full cost - Fixed cost per unit

Full cost= $10.25

Fixed cost per unit = Total fixed costs / Number of units

                          = $29,450/9,500 units= 3.1

Variable cost per calculator = $10.25 -  3.1  = 7.15

Difference in profit = OAR (fixed cost per unit)× change in inventory

                             = 3.1 × 750 = $2,325

The absorption costing profit would be higher if there is an increase in increase at the end of the period and vice versa. Hence , an increase in inventory by  750 units would mean that absorption costing profit is higher by $2,325

Cost of calculator

Y = a +bx

Y =    3.1 + 7.15X

Y- total cost per unit

Fixed cost per unit = 3.1

Variable cost per unit = 7.15

Variable cost per unit = 7.15

Difference in profit = $2,325

Cost formula : Y =    3.1 + 7.15X

On July 9, Mifflin Company receives a $8,600, 90-day, 12% note from customer Payton Summers as payment on account. What entry should be made on July 9 to record receipt of the note

Answers

Answer:

Mifflin Company

Journal Entry:

Debit Notes Receivable (Payton Summers)$8,600

Credit Accounts Receivable (Payton Summers)$8,600

To record the receipt of a 90-day, 12% note.

Explanation:

Mifflin Company uses this journal entry to record the receipt of a note receivable from Payton Summers in payment on account.  This effectively transfers the debit from Accounts Receivable account to a Notes Receivable account.  By this action, the debt is formalized while Mifflin Company is now able to charge interest on the unsettled balance at the agreed rate per annum.

Companies Heidee and Leaudy are virtually identical in that they are both profitable, and they have the same total assets (TA), Sales (S), return on assets (ROA), and profit margin (PM). However, Company Heidee has the higher debt ratio. Which of the following statements is CORRECT?a. Company Heidee has a lower operating income (EBIT) than Company LDb. Company Heidee has a lower total assets turnover than Company Leaudy.c. Company Heidee has a lower equity multiplier than Company Leaudy.d. Company Heidee has a higher fixed assets turnover than Company Leaudy.e. Company Heidee has a higher ROE than Company Leaudy.

Answers

Answer:

Correct Answer:

e. Company Heidee has a higher ROE than Company Leaudy.

Explanation:

Return on Equity, (ROE) is a ratio that provides investors with insight into how efficiently a company and more specifically, its management team is handling the money that shareholders have contributed to it. That is, it measures the profitability of a corporation in relation to stockholders' equity.

Company Heidee has the higher debt ratio shows that the ROE is very high. This shows that the investors money in Company Heidee is well managed in the business.

A profit-maximizing firm in a competitive market that is producing on a production curve where the marginal product of labor is diminishing also has

Answers

Answer: A. a downward-sloping labor demand curve.

Explanation:

The labor demand curve is plotted with the quantity of labor demanded vs the real wages paid to labor. In a firm that is producing in a market with a diminishing marginal product of labor, the demand curve will be downward sloping to reflect that the more labor that a company has, the less it pays them.

This is because the extra labor is bringing in less additional revenue and so will need to be paid accordingly to reflect that as more labor is hired, the output decreases.  

Quantitative Problem 1: Assume today is December 31, 2017. Barrington Industries expects that its 2018 after-tax operating income [EBIT(1 – T)] will be $450 million and its 2018 depreciation expense will be $65 million. Barrington's 2018 gross capital expenditures are expected to be $110 million and the change in its net operating working capital for 2017 will be $30 million. The firm's free cash flow is expected to grow at a constant rate of 4.5% annually. Assume that its free cash flow occurs at the end of each year. The firm's weighted average cost of capital is 9%; the market value of the company's debt is $3 billion; and the company has 180 million shares of common stock outstanding. The firm has no preferred stock on its balance sheet and has no plans to use it for future capital budgeting projects. Using the free cash flow valuation model, what should be the company's stock price today (December 31, 2017)? Do not round intermediate calculations. Round your answer to the nearest cent. $ per share

Answers

Answer:

$29.630

Explanation:

For computation of stock price first we need to follow some steps which is shown below:-

Free cash flow = EBIT (1 - T) + Depreciation - Capital expenditure - Working capital

= $450 million + $65 million - $110 million - $30 million

=  $375 million

Value of firm = Free cash flow ÷ (WACC - Growth)

= $375 million ÷ (9% - 4.5%)

= $375 million ÷ 0.045

= $8,333.33 million

Value of equity = Value of firm - Value of debt

= $8,333.33 million - $3,000 million

= $5,333.33 million

Stock price = Value of equity ÷ Outstanding shares

= $5,333.33 million ÷ 180 million

= $29.630

You own a stock portfolio invested 30 percent in Stock Q, 25 percent in Stock R, 25 percent in Stock S, and 20 percent in Stock T. The betas for these four stocks are .95, 1.12, 1.13, and 1.30, respectively. What is the portfolio beta? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Answers

Answer:

Portfolio beta = 1.1075

Explanation:

The portfolio beta is a function of the weighted average of the individual stocks betas' that form up the portfolio. To calculate the portfolio beta, we use the following formula,

Portfolio beta = wA * Beta of A + wB * Beta of B + ... + wN * Beta of N

Where,

w represents the weight of each stock in portfolio

Portfolio beta = 0.30 * 0.95  +  0.25 * 1.12  +  0.25 * 1.13  +  0.20 * 1.30

Portfolio beta = 1.1075

An employee produces 10 parts during a shift in which he made $90. What is the labor content of the product? $5 $900 $9 $0.111 $6

Answers

Answer:

$9

Explanation:

Calculation for the labor content of the product.

Using this formula

Labor content = Cash/Numbers of item produced

Where,

Cash=$90

Numbers of item produced=10 parts

Let plug in the formula

Labor content=$90/10

Labor content=$9

Therefore the labor content of the product will be $9

Other Questions
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