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nalin [4]
3 years ago
5

Suppose a riskless project requires an initial investment of $10 and will generate a one-time cash inflow of $30 two years later

. Assuming a risk-free interest rate of 5%, which of the following statements about the project is NOT true?
A. The net present value of the project is positive.B. The IRR is greater than 50 percent.C. The accounting rate of return on the project is positive.D. The payback period is less than 2 years.
Business
1 answer:
Evgesh-ka [11]3 years ago
7 0

Answer:

D. The payback period is less than 2 years.

Explanation:

Discount rate                 5%  

                                        0      1          2

intital investment        -10  

cash flow                       0        30

Total cash flow         -10      0        30

NPV                        17.21  

IRR                                 73%  

Therefore, The NPV is 17.21 and is positive, the statement is True.

IRR > 50%, Therefore the statement made is True

Accounting rate of return = {[(30 - 10)/10]^(1/2)} - 1

                                           = 41% > 0

Therefore, The statement made is true.

Payback period = 2 years, Therefore the statement made is NOT true.

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Eric receives a portion of his income from his holdings of interest-bearing U.S. government bonds. The bonds offer a real intere
MArishka [77]

Solution :

Given :

The bonds offer a \text{real interest rate} of 4.5% per year

Tax rate = 10% = 0.10

Inflation rate = 2

\text{Nominal interest rate} = \text{real interest rate} + \text{inflation rate}

\text{Nominal interest rate} = 2 + 4.5

                                   = 6.5

\text{After tax nominal rate} = \text{Nominal interest rate} $\times (1-\text{tax rate})$

\text{After tax nominal interest rate} = $6.5 \times (1-0.10)$

                                                  $=6.5 \times 0.90$

                                                 = 5.85

After tax real interest rate = \text{after tax nominal rate} - \text{inflation rate}

                                           = 5.85 - 2.0

                                            = 3.85

\text{Inflation rate} = 7.0

\text{Real interest rate = 4.5}

\text{Nominal interest rate} = \text{real interest rate} + \text{inflation rate}

                                   = 7 + 4.5

                                  = 11.5

\text{After tax nominal interest rate} = \text{Nominal interest rate} $\times (1-\text{tax rate })$

                                                  $=11.5 \times (1 - 0.10)$

                                                  $=11.5 \times 0.90$

                                                = 10.35

\text{After tax nominal interest rate} = 11.5 x (1 - 0.10)

                                          = 11.5 x 0.90

                                         = 10.35

\text{After tax nominal interest rate} = \text{after tax nominal rate} - \text{inflation rate}

                                           = 10.35 - 7.0

                                          = 3.35

Putting all the value in table :

\text{Inflation rate}    Real interest  Nominal interest  After tax nominal  After tax  

                                  rate                rate               interest rate       interest rate

2.0                             4.5                  6.5                        5.85                   3.85

7.0                              4.5                11.5                         10.35                3.35

Comparing with the \text{higher inflation rate}, a \text{lower inflation rate} will increase the after after tax real interest rate when the government taxes nominal interest income. This tends to encourage saving, thereby increase the quantity of investment in the economy and the increase the economy's long-run growth rate.

7 0
3 years ago
Why might a business owner prefer to raise capital through a loan rather than through selling shares to an investor ?
MArishka [77]

Answer:

Shareholders can have control over business decisions. With a loan, all the owner owes is principle and interest

7 0
3 years ago
Under a partnership agreement, sarah is to receive 25% of the partnership's income, but not less than $12,000. the partnership's
Rudiy27
Given: -
 Sarah's income = 25% of the partnership income but not less than $12,000.
 Net income of partnership for the year = $32,000.  
To find: -
 1) Amount that can be deducted by partnership as guaranteed payment.
 2) Income that Sarah is to report on her tax return. 
 Solution: -
 Partnership income = $32,000
 Sarah's share = 25% of 32000 = $8,000
 But Sarah must receive $12,000 (Shortfall $12,000-$8,000=$4,000)
 So, 1) $4,000 can be deducted by partnership as guaranteed payment.
 2) Income that Sarah needs to report on her tax return = $12,000.
6 0
3 years ago
Required: 1-a. Prepare a contribution format income statement for the game last year. 1-b. Compute the degree of operating lever
Flura [38]

Question Completion:

Magic Realm, Inc., has developed a new fantasy board game. The company sold 32,400 games last year at a selling price of $67 per game. Fixed expenses associated with the game total $567,000 per year, and variable expenses are $47 per game. Production of the game is entrusted to a printing contractor. Variable expenses consist mostly of payments to this contractor. Required: 1-a. Prepare a contribution format income statement for the game last year. 1-b. Compute the degree of operating leverage. 2. Management is confident that the company can sell 41,796 games next year (an increase of 9,396 games, or 29%, over last year). Given this assumption: a. What is the expected percentage increase in net operating income for next year?

Answer:

Magic Realm, Inc.

1-a. Contribution-Format Income Statement

For the last year ended December 31

Sales revenue          $2,170,000 (32,400 * $67)

Variable costs            1,522,800 (32,400 * $47)

Contribution               $647,200 (32,400 * $20)

Fixed expenses           567,000

Net operating income $80,200

1-b. Degree of Operating Leverage = Contribution/Net operating income

= 8.07

The expected percentage increase in net operating income for next year

= 235.3%

Explanation:

a) Data and Calculations:

Last year's figures:

Sales = 32,400 games

Selling price per game = $67

Variable cost per game = $47

Fixed expenses = $567,000 per year

1-a. Contribution-Format Income Statement

For the last year ended December 31

Sales revenue          $2,170,000 (32,400 * $67)

Variable costs            1,522,800 (32,400 * $47)

Contribution               $647,200 (32,400 * $20)

Fixed expenses           567,000

Net operating income $80,200

1-b. Degree of Operating Leverage = Contribution/Net operating income

= $647,200/$80,200 = 8.07

2. Next year:

Sales = 41,796 games

Sales revenue =         $2,800,332 (41,796 * $67)

Variable cost =               1,964,412  (41,796 * $47)

Contribution =              $835,920

Fixed costs =                  567,000

Net operating income $268,920

The expected percentage increase in net operating income for next year

Increase in net operating income = $188,720 ($268,920 - $80,200)

= $188,720/$80,200 * 100 = 235.3%

5 0
3 years ago
A company had the following purchases and sales during its first year of operations: Purchases Sales January: 10 units at $120 6
Vesna [10]

Answer:

$3540.

Explanation:

FIFO means first in, first out. It means that it is the first purchased inventory that is the first to be sold

Ending inventory comprises of goods bought in May, September and November

cost of the ending inventory :

(4 x $130) + (12 x $135) + (10 x$140) = $3540

6 0
2 years ago
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