Suppose that a country has no public debt in year 1 but experiences a budget deficit of billion in year​ 2, a budget surplus of billion in year​ 3, a budget surplus of billion in year​ 4, and a budget deficit of billion in year 5.
A) What is the absolute size of its public debt in year 4?
B) If its real GDP in year 4 is $104 billion, what is this country's public debt as a percentage of real GDP in year 4?

Answers

Answer 1

Answer:

a. 72 billion

b. 69.2%

Explanation:

a. The absolute size of its public debt in year 4 would be the total value of the deficit from year 1 till 4.

= 0 + 50 + 30 - 10 (budget surplus so it reduces deficit) - 2

= 72 billion

b. Percentage of real GDP in year 4;

= (72/104) * 100%

= 69.2%


Related Questions

Stephenson Co.'s 15-year bond with a face value of $1,000 currently sells for $850. Which of the following statements is correct?
A. The bond's coupon rate exceeds its current yield.
B. The bond's yield to maturity is greater than its coupon rate.
C. If the yield to maturity stays constant until the bond matures, the bond's price will remain at $850.
D. The bonds current yield exceeds its yield to maturity.

Answers

Answer:

The bond's yield to maturity is greater than its coupon rate.

Explanation:

At a discount, the price of the bond is less than its face value, from bond theory principles, this is likely to happen when YTM is more than the coupon rate of the bond. Due to this the present value of the coupons and their face value are going to be lower than 1000 since YTM is greater.

The coupon rate is given as annual interest divided by face value

While

The yield is interest/ current price.

The answer to the question is therefore

The bond's yield to maturity is greater than its coupon rate.

The cash flows associated with each expansion site are summarized below. The expansion is planned for 5 years, and the interest rate is 12% per year. Use the B/C method to determine which site, if any, is the most acceptable. The monetary unit is $ million.
Site A B C
Initial cost, $ 55 70 200
M&O Cost, $/year 3 4 6
Benefits, $/year 20 29 55
Disbenefits, $/year 0.5 2 2.1
A. Site A
B. Site C
C. Site B
D. None

Answers

Answer:

C. Site B

Explanation:

A benefit-cost (B/C) method is a decision making techi=niques that uses benefit-cost ratio (BCR) to give a summary of overall relationship between the relative benefits and costs and a project being proposed.

To calculated the present values (PV) of Maintenance and Operations (M&O) Cost, Benefits and Disbenefits, we use cumulative discounting factor (CDF) for calculating the present value (PV) of an ordinary annuity as follows:

CDF = [{1 - [1 / (1 + r)]^n} / r] …………………………………. (1)

Where;

r = interest rate = 12%, or 0.12

n = number of years = 5

Substitute the values into equation (1), we have:

CDF = [{1 - [1 / (1 + 0.12)]^5} / 0.12] = 3.60

We can now calculate the B?C of each Site as follows as follows:

a. Calculation of B/C ratio of Site A

Initial cost = $55

PV of M&O Cost = M&O Cost per year * CDF = $3 * 3.60 = $10.80

PV of Benefits = Benefits per year * CDF =$20 * 3.60 = $72.00

PV of Disbenefits = Disbenefits per year * CDF = $0.5 * 3.60 = $1.80

PV of Total Cost = Initial cost + PV of M&O cost + PV of Disbenefits = $55 + $10.80 + $1.80 = $67.60

B/C ratio of Site A = PV of Benefits / PV of tota cost = $72.00 / $67.60 = 1.07

b. Calculation of B/C ratio of Site B

Initial cost = $70

PV of M&O Cost = M&O Cost per year * CDF = $4 * 3.60 = $14.40

PV of Benefits = Benefits per year * CDF =$29 * 3.60 = $104.40

PV of Disbenefits = Disbenefits per year * CDF = $2 * 3.60 = $7.20

PV of Total Cost = Initial cost + PV of M&O cost + PV of Disbenefits = $70 + $14.40 + $7.20 = $91.60

B/C ratio of Site A = PV of Benefits / PV of tota cost = $104.40 / $91.60 = 1.14

b. Calculation of B/C ratio of Site B

Initial cost = $200

PV of M&O Cost = M&O Cost per year * CDF = $6 * 3.60 = $21.60

PV of Benefits = Benefits per year * CDF =$55 * 3.60 = $198.00

PV of Disbenefits = Disbenefits per year * CDF = $2.1 * 3.60 = $7.56

PV of Total Cost = Initial cost + PV of M&O cost + PV of Disbenefits = $200 + $21.60 + $7.56 = $229.16

B/C ratio of Site A = PV of Benefits / PV of tota cost = $198.00 / $229.16 = 0.86

Conclusion

1. Since the B/C ratio of only Site A and Site B are greater than 1, both are acceptable.

2. But since Site B's B/C ratio of 1.14 is greater Site A's B/C ratio of 1.07, Site B is the most acceptable. Therefore, the correct option is C. Site B.

Under what circumstances could the Government use open market operations?

Answers

Answer:

market operations ? markets have operations?

Answer:

the federal reserve buys and sells government securities control the money supply and interest rates.

You bought one of Great White Shark Repellant Co.’s 6.6 percent coupon bonds one year ago for $1,056. These bonds make annual payments and mature 11 years from now. Suppose you decide to sell your bonds today, when the required return on the bonds is 4.5 percent. The bonds have a par value of $1,000. If the inflation rate was 3.2 percent over the past year, what was your total real return on investment? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

Answers

Answer:

14.25%

Explanation:

For computing the total real return first we have to find out the present value and the required return which is shown below:

Given that,  

Future value = $1,000

Rate of interest = 4.5%

NPER = 11 years

PMT = $1,000 × 6.6% = $66

The formula is shown below:

= -PV(Rate;NPER;PMT;FV;type)

So, after applying the above formula the present value is $1,179.11

Now the required return is

= ($1,179.11 + $66) ÷ ($1,056) -1

= 17.91%

And finally,

total real return

= ($1.1791 ÷ 1.032) - 1

= 14.25%

Suppose we have the following scenario: Multiplier: 1.2 Tax Rate: 16% Increase in spending: $175 Billion Total Deficit in the previous year: $1 Trillion Based on the information provided what is the deficit that arises from the increase in spending from the government

Answers

Answer:

Deficit = $141.4 billion

Explanation:

Multiplier (K) = ΔY {GDP(income)} / ΔI {Govt spending}

ΔY = K * ΔI

ΔY = 1.2 * $175 billion

ΔY = $210 billion (income)

Tax applicable on income that generate revenue:

Revenue = 210 billion * 16%

Revenue = 210 billion * 0.16

Revenue = $33.6 billion

Deficit = Government spending - Revenue

Deficit = $175 billion - $33.6 billion

Deficit = $141.4 billion

Blossom Company accumulates the following data concerning a mixed cost, using miles as the activity level.

Miles Driven Total Cost Miles Driven Total Cost
January 6,400 $11,320 March 6,800 $12,000
February 6,000 10,800 April 6,560 11,592

Required:

Compute the variable cost per mile using the high-low method.

Answers

Answer:

just add and subtract the last three numbers and theres your answer love <3

Explanation:

Analysis of Receivables Method At the end of the current year, Accounts Receivable has a balance of $420,000; Allowance for Doubtful Accounts has a debit balance of $4,000; and sales for the year total $1,890,000. Using the aging method, the balance of Allowance for Doubtful Accounts is estimated as $16,400. a. Determine the amount of the adjusting entry for uncollectible accounts. $ b. Determine the adjusted balances of Accounts Receivable, Allowance for Doubtful Accounts, and Bad Debt Expense. Accounts Receivable $ 420,000 Allowance for Doubtful Accounts $ 16,400 Bad Debt Expense $ c. Determine the net realizable value of accounts receivable. $

Answers

Answer and Explanation:

The computation is shown below:

a. Amount of adjusting entry for uncollectible accounts

= Estimated balance of Allowance for Doubtful Accounts + debit balance

= $16,400 + $4,000

= $20,400

b. Adjusted balances

For account receivable

= account receivable

= $420,000

For allowance for doubtful debts

= Estimated amount

= $16,400

For bad debts

= AMount of adjusting entry

= $20,400

c. Net realizable value

= Account receivable balance - estimated balance of Allowance for Doubtful Accounts

= $420,000 - $16,400

= $403,600

Luther Corporation Consolidated Balance Sheet December​ 31, 2006 and 2005​ (in $​ millions) Assets 2006 2005 Liabilities and ​Stockholders' Equity 2006 2005 Current Assets Current Liabilities Cash 58.5 Accounts payable 73.5 Accounts receivable 39.6 Notes payable​ / shortterm debt 9.6 Inventories 42.9 Current maturities of longterm debt 36.9 Other current assets 3.0 Other current liabilities 6.0 12.0 Total current assets 144.0 Total current liabilities 132.0 LongTerm Assets LongTerm Liabilities Land 62.1 Longterm debt 168.9 Buildings 91.5 Capital lease obligations Equipment 99.6 Less accumulated depreciation ​(​) ​(52.5) Deferred taxes 22.8 22.2 Net​ property, plant, and equipment 200.7 Other longterm liabilities Goodwill 60.0 Total longterm liabilities 191.1 Other longterm assets 63.0 42.0 Total liabilities 323.1 Total longterm assets 242.7 ​Stockholders' Equity 63.6 Total Assets 386.7 Total liabilities and ​Stockholders' Equity 386.7 Refer to the balance sheet above. ​ Luther's current ratio for 2006 is closest​ to:

Answers

Answer:

Luther Corporation

Current Ratio for 2006 is closest to:

1.1 : 1

Explanation:

a) Data and Calculations:

Total Current Assets = $144 million

Total Current Liabilities = $132 million

Current Ratio = Current Assets/Current Liabilities

= $144/$132

= 1.1 : 1

b) Luther Corporation's current ratio is a liquidity measure that shows Luther's ability to pay off short-term obligations worth $132 million or those due within one year with its current assets of $144 million.  The ratio tells investors and analysts of Luther Corporation how Luther can use its current assets to pay off its current debts.  Since Luther's current ratio is higher than 1, it is considered good, depending on the industry average.  This means that Luther's current ratio of 1.1 : 1 should not be considered in isolation, but in comparison with other firms in the industry and its performance over a number of years.

In response to the new employee end-of-shift policy Brianna proposes that Ollie pay its employees on their breaks instead of making them clock out. Brianna is most likely utilize the ________ influence tactic

Answers

Answer: exchange

Explanation: Brianna is most likely to use the exchange influence tactic which is given as a tactic that suggests that making express or implied promises and trading favors. This is observed when she proposes that Ollie pay its employees on their breaks instead of making them clock out in response to the new employee end-of-shift policy. The tactics is especially useful for influencing peers and surbodinates.

If the Board of Governors of the Federal Reserve increases the reserve requirement then the money supply will decline. True False

Answers

Answer:

i think the answer is true please let me know if it is incorrect

Explanation:

Laurie's Ice Rink keeps an extra $1,500 in its checking account simply in case an emergency arises. Which type of motive for holding cash does this represent

Answers

Answer:

Precautionary Motive

Explanation:

there are three motives for Holding Money . They are :

1. Transaction Motive:  the motive for holding money is to be able to carry out transactions such as to pay for goods or services.

2. Precautionary Motive: the motive for holding money is to meet unforeseen circumstances or emergencies. e.g. if my car suddenly develops a fault.

3. Asset or Speculative Motive: the motive for holding money is to take advantage of the rise and fall of prices of bonds and securities.

Beginning in 6 years, (beginning of years 6, 7,8 and 9) Sally Mander will receive four annual benefit checks of $12,000 each. If Sally assumes an interest rate of 7%, what is the present value of these checks?

Answers

Answer:

$28,980

Explanation:

The present value can be calculated by multiplying annual cashflows with the discount factor. The table to calculate the Present Value has been made below.

DATA

Annual benefit = $12,000

Discount rate = 7%

Present value =?

Calculation

Year      Cash inflows Discount factor Present Value

6            $12,000                   0.666              $7,992

7            $12,000                   0.623              $7,476

8            $12,000                   0.582              $6,984

9            $12,000                   0.544              $6,528  

Total                                                               $28,980

In decision making under ________, there are several possible outcomes for each alternative, and the decision maker knows the probability of occurrence of each outcome

Answers

Answer: risk

Explanation:

In the decision making under risk, there are several possible outcomes for each alternative, and the decision maker knows the probability of occurrence of each outcome.

Unlike in uncertainties whereby the decision maker won't know the probability of the occurrence of the outcomes, in risk, one is aware.

The firm has total fixed costs of $9 and a constant marginal cost of $3 per unit. The firm will maximize profit with a. 9 units of output. b. 15 units of output. c. 21 units of output. d. 30 units of output.

Answers

Answer:

b. 15 units of output.

Explanation:

information regarding sales price and quantity demanded is missing, so I looked it up (see attached file):

units              sales revenue            total costs            profits

9                       $216                            $36                     $180

15                      $270                           $54                     $216

21                      $252                           $72                     $180

30                     $90                             $99                     ($9)

Legacy issues $640,000 of 8.5%, four-year bonds dated January 1, 2017, that pay interest semiannually on June 30 and December 31. They are issued at $570,443 and their market rate is 12% at the issue date.

Required:
Record the issue of bonds with a par value of $640,000 cash on January 1, 2017 at an issue price of $570,443.

Answers

Answer:

                                                        Debit                               Credit

Jan 1 2017  

Cash                                                 570,443

Discount on bond                            69,557

    Bond payable account                                                      640,000

For the issue of bonds on discount

Explanation:

Legacy sold the bonds at a discount .A bond is said to be sold at a discount if it is sold at a price less that its face value. The difference  is called the discount.

To record the issuance of a bond at discount, the following accounts would be used :

Cash account- to record the amount received from the issuanceDiscount on bonds- this a contra-liability account to record the discount on the issueBond payable account : Another liability account to record the face value or principal amount of the bond.

Discount on bond = 640,000 - 570,443 = 69,557

Accounting entries:

                                                        Debit                               Credit

Jan 1 2017  

Cash                                                 570,443

Discount on bond                            69,557

    Bond payable account                                                      640,000

For the issue of bonds on discount

Note that the cash account was debited to increase the asset value and the the bond payable account credit to recognize an increase in liability.

A project has estimated annual net cash flows of $56,600. It is estimated to cost $339,600.

Required:
Determine the cash payback period.

Answers

Answer:

It will take exactly 6 full years to cover for the initial investment.

Explanation:

Giving the following information:

Cash flow= $56,600

Initial investment= 339,600

The payback period is the time required for the cash flow to cover the initial investment:

Year 1= 56,600 - 339,600= -283,000

Year 2= 56,600 - 283,000= -226,400

Year 3= 56,600 - 226,400= -169,800

Year 4= 56,600 - 169,800= -113,200

Year 5= 56,600 - 113,200= -56,600

Year 6= 56,600 - 56,600= 0

It will take exactly 6 full years to cover for the initial investment.

Classify the following as a population or sample:

a. Two chimpanzees chosen to carry out genetic research.
b. Statistics 201 is a course taught at a university. Professor Rauch has taught nearly 1,500 students in the course over the past 5 years. You would like to know the average grade for the course.
c. Weather reports for each day of a month in a city for a study on that city's weather during that particular month.
d. To find how many books are published in one week by a famous publishing company.
e. To test a new drug produced by a biotech company.
f. To find the number of men and women working in an IT company with 600 people.
g. To estimate the average salary of doctors in California.

Answers

Answer:

Classification as Population or Sample

a. Sample

b. Population

c. Population

d. Population

e. Sample

f. Population

g. Population

Explanation:

The population defines the whole group, while the sample is a part of the population.  This means that the sample is less than the population.  In statistical research, it is not always possible to study the whole population, unless it is not large.  Most times, only the sample is studied and conclusions are then drawn about the population size based on the characteristics discovered about the sample size.

Begin by reviewing the labels for the change in​ stockholders' equity and then enter the amounts for each situation.
Three situations about Timmy Company's issuance of stock and declaration and payment of dividends during the year ended January 31, 2017. follow.
Requirements.
Begin by reviewing the labels for the change in stockholders' equity and then enter the amounts for each situation.
Situation A Situation B Situation C
Total stockholders' equity, January 31, 2016
Add: Issuance of stock
Net income
Less: Dividends declared
Net loss
Total stockholders' equity, January 31, 2017
For each situation, use the accounting equation and the statement of retained earnings to compute the amount of Timmy's net income or net loss during the year ended January 31 2017.
1. Timmy issued $13 million of stock and declared no dividends.
2. Timmy issued no stock but declared dividends of $17 million.
3. Timmy issued $20 million of stock and declared dividends of $27 million.

Answers

Answer:

Note: The missing part of the question is

"                          2017'million    2016'million

Total asset             77                  50

Total liability           18                  13"

Solution:

Stockholders Equity at year end

                         2017     2016

Assets      77        50    

Less: liabilities   -18       -13

Equity at end     59       37

Note: Situation 1, 2 and 3 is the same as question 1, 2 and 3

                                          Situation 1   Situation 2  Situation 3

                                             $'million     $'million      $'million

Total stockholders Equity            37            37              37

Jan 31 ,2016

Add: Issuance of stock                13              0               20

Less: dividend declared               0             -17              -27

Net income                                    9             39               29

Total stockholders Equity             59           59              59

January 31,2017

Fiedler's contingency model of leadership has made an important and lasting contribution to the study of leadership because it: Group of answer choices suggests that organizations need to engineer the situation to fit the leader's preferred style. is the only theory to adopt the implicit leadership perspective. was the first theory to recognize the existence of leadership substitutes. discovered that effective leaders do not have a common set of competencies. is the only leadership theory to adopt a contingency approach.

Answers

Answer:

suggests that organizations need to engineer the situation to fit the leader's preferred style.

Explanation:

Fiedler is of the view that a person's leadership style is a product of experiences throughout their lifetime. So it is difficult to change it.

He suggested that instead of teaching a particular leadership style and forcing people to align with them, it is better to adjust the situation to an individual's leadership style.

The weakness of this is that the leader may be more effective in a particular situation and weak in another one

Sweet Acacia Industries reported net income of $1.40 million in 2022. Depreciation for the year was $224,000, accounts receivable decreased $490,000, and accounts payable decreased $392,000.


Required:

Compute net cash provided by operating activities using the indirect approach.

Answers

Answer:

Net Cash flow from operating = $ 1,722,000  

Explanation:

To determine the net cash flow from operating activities. We will adjust the net income as follows; all decrease in assets and increase in liabilities are added and all increase in assets and decrease in liabilities are subtracted.

All non- cash expenses would be added back and all non-cash income would be deducted from the net income. Notable here is depreciation a non-cash expense which must be added back to the net income

This principle is applied below:

                                                                $

Net Income                                        1,400,000

Adjustments:

Add depreciation expense                 224,000

Add decrease in current asset           490,000      

less decrease in current liabilities     (392,000)      

Net Cash flow from operating            1,722,000  

Net Cash flow from operating = $ 1,722,000  

If Tex's Manufacturing Company purchases the component externally, $20,000 of the fixed costs can be avoided. At what external price for the 100 units is the company indifferent between making or buying

Answers

Answer:

$210,000

Explanation:

The computation of the external price is shown below

Making cost =  buying  cost

$120,000 + $25,000 + $45,000 + $30,000) = external price + Unavoidable fixed cost (30,000-20,000)

$220,000 = External price + $10,000

So,

External price = 210,000

Hence, the same is to be considered

Therefore the external price is $210,000

Which ratios measure the extent of a firm’s financing with debt relative to equity and its ability to cover interest and fixed charges?

Answers

Answer:

Debt to Equity ratio and Times Interest Earned (TIE) ratio

Explanation:

The Debt to Equity ratio measures the extent of a firm’s financing with debt relative to equity

Formulae :

Debt to Equity ratio = Total Debt ÷ Total Equity

The Times Interest Earned (TIE) ratio measures the ability of a firm  ability to cover interest and fixed charges

Formulae :

Times Interest Earned (TIE) ratio = Earnings Before Interest and Tax ÷ Interest

Samantha and Darren are 50% owners in Black Hat Corp., a calendar year S corporation. On June 29, Samantha sold her shares to Endora. The financial results of Black Hat using normal accounting rules are as follows: Income through June 30 = $34,000; income from July 1 - Dec 31 = $76,000 for total income for the year of $110,000. All the shareholders would like to limit the tax liability from the S corporation income. Considering these facts, would Endora prefer the daily method or the normal accounting method to allocate income? What method would Samantha prefer?

Answers

Answer:

Endora would prefer DAILY METHOD while Samantha would prefer NORMAL ACCOUNTING METHOD

Explanation:

Based on the information given above Endora would most likely prefer the DAILY METHOD reason been that she would most likely allocate her income over the whole year while Samantha would prefer NORMAL ACCOUNTING METHOD reason been that the normal accounting method will often tend to recognizes a higher share of the income mostly in the second half of the year.

Therefore Endora would prefer DAILY METHOD while Samantha would prefer NORMAL ACCOUNTING METHOD.

S Corporation makes 50,000 motors to be used in the production of its sewing machines. The average cost per motor at this level of activity is: Direct materials $ 10.90 Direct labor $ 9.90 Variable manufacturing overhead $ 4.15 Fixed manufacturing overhead $ 5.10 An outside supplier recently began producing a comparable motor that could be used in the sewing machine. The price offered to S Corporation for this motor is $28.15. If S Corporation decides not to make the motors, there would be no other use for the production facilities and none of the fixed manufacturing overhead cost could be avoided. Direct labor is a variable cost in this company. The annual financial advantage (disadvantage) for the company as a result of making the motors rather than buying them from the outside supplier would be: Multiple Choice $160,000 $367,500 ($95,000) $255,000

Answers

Answer:

If the company makes the motors, it will save $160,000.

Explanation:

Giving the following information:

Production= 50,000 units

Production costs:

Direct materials $10.90

Direct labor $9.90

Variable manufacturing overhead $4.15

The price offered to S Corporation for this motor is $28.15.

We will take into account only the avoidable costs:

Make in-house:

Total cost= 50,000*(10.9 + 9.9 + 4.15)= $1,247,500

Buy:

Total cost= 50,000*28.15= $1,407,500

If the company makes the motors, it will save $160,000.

100 million diluted shares outstanding trading at $37.50 per share. The company has $1 billion of debt outstanding with a cost of debt at 6.5% at a marginal tax rate of 40%. The company has $100 million of cash on its balance sheet. What is the enterprise value of Correct Inc.

Answers

Answer:

$4,650,000,000

Explanation:

We will use the formula below to calculate the enterprise value of Correct inc.

Enterprise value = Market value capital and debts - Cash and investments

= 100 million diluted shares × 37.50 per share + $1 billion of debt outstanding - $100 million cash

= $3750m + $1000m - $100m

= $4,650,000,000.

pllzzzzzzzzzzzzzzzzz ​

Answers

Answer:

liability risk

Explanation:

Answer:

liability risk is right opstion

Global Engineering's actual operating income for the current year is $50,000. The flexible budget operating income for actual volume achieved is $40,000, while the static budget operating income is $53,000. What is the sales volume variance for operating income

Answers

Answer:

$13,000 Unfavorable

Explanation:

Calculation for the sales volume variance for operating income of Global Engineering's

Using this formula

Sales volume variance for operating income=Static budget operating income -Fexible budget operating income

Where,

Static budget operating income =$53,000

Fexible budget operating income=$40,000

Let plug in the formula

Sales volume variance for operating income=$53,000-$40,000

Sales volume variance for operating income=$13,000 Unfavorable

Therefore the sales volume variance for operating income will be $13,000 Unfavorable

Which of the following is an example of an oligopolistic market with a standardized product?
A) The market for breakfast cereal.
B) The market for aluminum.
C) The market for jewelry.
D) The market for automobiles.

Answers

Answer:

B) The market for aluminum.

Explanation:

An oligopoly is a market form in which the market or industry is dominated by a small group of large sellers. Oligopolies can result from various forms of collusion that reduce market competition which then majorly leads to higher prices for consumers. They have their own market structure.

Oligopolistic market with standardised product is an homogeneous oligopoly that is an oligopoly in which firm produce a standardised product. And a good example of that is the Aluminum market.

The Silverside Company is considering investing in two alternative​ projects: Project 1 Project 2 Investment ​$400,000 ​$280,000 Useful life​ (years) 5 5 Estimated annual net cash inflows for useful life ​$90,000 ​$65,000 Residual value ​$25,000 ​$12,000 Depreciation method Straight−line Straight−line Required rate of return ​10% ​6% What is the payback period for Project​ 1?

Answers

Answer:

The Silverside Company

Project 1's Payback Period

= Initial Investment/Annual cash flows

= $400,000 / $90,000

= 4.44 years.

Explanation:

Project 1:

Initial Investment = $400,000

Useful life = 5 years

Annual cash inflows for useful life = $90,000

The Silverside Company's payback period calculates the time or number of years that it would take the company to recover from its initial investment in Project 1.  This is the simple payback period calculation.  There is also the discounted payback period calculation.  This method discounts the annual cash inflows to their present values before the calculation is carried out.  This second method gives a present value perspective on the issue.

Masters Machine Shop is considering a four-year project to improve its production efficiency. Buying a new machine press for $450,000 is estimated to result in $184,000 in annual pretax cost savings. The press falls in the MACRS five-year class, and it will have a salvage value at the end of the project of $74,000. The press also requires an initial investment in spare parts inventory of $33,000, along with an additional $3,750 in inventory for each succeeding year of the project. The shop’s tax rate is 23 percent and its discount rate is 10 percent. (MACRS schedule)

Required:
Calculate the NPV of this project.

Answers

Answer:

Masters Machine Shop

PV of Salvage value = $74,000 x 0.683 =               $50,542

Present value of total savings                                $449,126

less Present value of investments                          494,888

Net Present Value                                                      $4,780

Explanation:

a) Data                      Amount              Present Value

Cash Outflow         $450,000             $450,000

Initial spare parts        33,000                  33,000

Annual Inventory          3,750                    11,888

PV of investments                               $494,888

     

Project lifespan = 4 years

Discount rate = 10%

Annual pretax cost savings = $184,000

Tax rate                 23%              42,320

After Tax savings                    $141,680

PV of Annuity of Tax savings = $141,680 x 3.170 = $449,126

Salvage value = $74,000        

PV of Salvage value = $74,000 x 0.683 =               $50,542

Present value of total savings                                $449,126

less Present value of investments                          494,888

Net Present Value                                                      $4,780

b) Master Machine Shop's Net Present Value (NPV) is the difference between the cash inflows (savings) and the cash outflows (investments) for this four-year project

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