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irina [24]
3 years ago
15

For the cash flow series below, calculate the external rate of return, using the return on invested capital approach with an inv

estment rate of 14% per year.
Year Cash Flow, $
0 .......... 3000
1 .......... –2000
2 .......... 1000
3 ......... –6000
4 .......... 3800
Business
1 answer:
NeTakaya3 years ago
3 0

Answer:

15.04%

Explanation:

When calculating the external rate of return, any excess cash flows are supposed to earn the MARR. It is used when there are multiple IRRs.

Year      Cash Flow

0             $3,000      

1             -$2,000       discounted at Year 0 = -$2,000/1.14 = -$1,754.39

2            $1,000        

3           -$6,000        discounted at Year 0 = -$6,000/1.14³ = -$4,049.83

4            $3,800      

total                         discounted at Year 0 = -$5,804.22

now we calculate the future value of our cash inflows:

Year      Cash Flow

0             $3,000      FV at end of Year 4 = $3,000 x 1.14⁴ = $5,066.88

2            $1,000          FV at end of Year 4 = $1,000 x 1.14² = $1,299.60

4            $3,800       FV at end of Year 4 = $3,800

total                         future value at end of Year 4 = $10,166.48

now we have the following equation:

-$5,804.22 x (1 + i)⁴ = $10,166.48

(1 + i)⁴ = $10,166.48 / -$5,804.22 = -1.751567

⁴√(1 + i) = ⁴√-1.751567

1 + i = 1.1504

i = 0.1504 = 15.04%

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Question Completion:

a) Jorgensen paid the bonuses to the employees on March 1 of year 2.

b) Jorgensen paid the bonuses to the employees on April 1 of year 2.

c) Jorgensen paid the bonuses to employees on March 1 of year 2, and there is a requirement that the employee remain employed with Jorgensen on the payment date to receive the bonus.

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Jorgensen High Tech Inc.

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In year 1, Jorgensen can deduct $147,000 of the bonuses.

b) Jorgensen paid the bonuses to the employees on April 1 of year 2.

In year 1, Jorgensen cannot deduct any bonuses since they were not paid within the two and one-half months rule.

c) Jorgensen paid the bonuses to employees on March 1 of year 2, and there is a requirement that the employee remain employed with Jorgensen on the payment date to receive the bonus.

Jorgensen can still deduct the $147,000 for bonuses in Year 1.  No employee had left so far.

d) Jorgensen paid the bonuses to employees on March 1 of year 2, and there is a requirement that the employee remain employed with Jorgensen on the payment date to receive the bonus; if not, the forfeited bonus is reallocated to the other employees.

Jorgensen can still deduct the $147,000 for bonuses in Year 1.  All the employees concerned have remain employed with Jorgensen till March 1.

Explanation:

a) Data and Calculations:

Accrued Bonuses:

Ken      $58,800

Jayne   $44,100

Jill       $29,400

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Total $147,000

b) Jorgensen, as a qualified calendar-year company, has until March 15 of year 2 to pay all year 1 bonuses in order to deduct the bonus expense in year 1.  However, if Ken, Jayne, Jill, and Justin had reported the accrued bonuses in their income tax forms, the 2 and 1/2 months rule will not apply.  This means that Jorgensen could still accrue the bonuses longer than 2 and 1/2 months before paying them to the employees.

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Answer :

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7 0
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