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spin [16.1K]
3 years ago
13

To create a portfolio with duration of 4 years using a 5 year zero-coupon bond and a 3 year 8% annual coupon bond with a yield t

o maturity of 10%, one would have to invest ________ of the portfolio value in the zero-coupon bond.
Business
1 answer:
vovikov84 [41]3 years ago
5 0

Answer:

One would have to invest 55%

Duration of 3-year bond is 2.78

Then 5wZ + 2.78(1 - wZ) = 4

2.22wZ = 1.22

wZ = .5495

Explanation:

To properly understand the concept behind the above calculation, let us define some basic concept:

Portfolio:  This can be refereed to as a phrase in finance. It refers to the collection on investment that is being held by an investment company, a financial institution such as a bank ,persons or an individual.

Zero coupon bond: A zero-coupon bond is a bond where the nominal or return on investment (ROI)  value is repaid at the time of maturity. This definition usually reflects a positive time value of money.

We should also recall that the formula for zero coupon bond as:

price = M / (1 + i)^n

where: M = maturity value

i = required interest yield divided by 2

Applying this formula, we were able to arrive at the investment percentage.

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Novak Corp. bought equipment on January 1, 2022. The equipment cost $390000 and had an expected salvage value of $35000. The lif
nirvana33 [79]

Answer:

$177,000

Explanation:

In order to find the book value of the equipment we need to find the amount of depreciation per year. To do this we need to subtract the salvage value from the initial cost and then simply divide by 5 which is the life span of the equipment...

(390,000 - 35,000) / 5 = x

355,000 / 5 = x

71,000 = x

Now we see that the equipment will depreciate by $71,000 per year. In three years the depreciation would be

71,000 * 3 = 213,000

Now we simply subtract this value from the initial cost to get the book value in the third year

390,000 - 213,000 = 177,000

7 0
2 years ago
During a presidential campaign, the incumbent argues that he should be reelected because GDP grew by 12 percent during his 4-yea
KengaRu [80]

Answer: The real GDP per person grew by 8%. Option C is the correct option

Explanation:

To calculate the real GDP per person, we have to calculate the real GDP growth rate in respect to the growth in population and deflator rate, then multiply it with the GDP growth.

GDP deflator = Nominal GDP ÷ Real GDP

The nominal GDP which includes the addition of population will grow by 4% since the population growth was 4%

GDP deflator increase by 6%

Therefore;

Real GDP = 4% ÷ 6% = 0.66667

THE REAL GDP PER PER PERSON

12% × 0.66667 = 8.00004%

Therefore the the real GDP per person is 8%, which is less than what he said.

8 0
3 years ago
SkyChefs, Inc., prepares in-flight meals for a number of major airlines. One of the company’s products is grilled salmon in dill
Ivanshal [37]

Answer:

1. 2,040 Hours

2. $27,540

3. 460 U

4.Labor rate variance = 1,000 U , Labor efficiency variance = 540 F

Explanation:

1. Standard labor hour allowed = (5,100 * 0.40) = 2,040 Hours

2. Standard labor cost = (2,040 * $13.50) = $27,540

3. Labor spending variance = (Standard cost - actual cost)

Labor spending variance = (27,540 - 28,000)

Labor spending variance = 460 U

4. Labor rate variance = (Standard rate - Actual rate) * Actual hours

Labor rate variance = ($13.50 - $14) * 2000

Labor rate variance = 0.50 * 2,000 U

Labor rate variance = 1,000 U

Labor efficiency variance = (Standard hour - Actual hour) * Standard rate

Labor efficiency variance= (2,040 - 2,000) * $13.50

Labor efficiency variance = 40 * 13.50 F

Labor efficiency variance = 540 F

3 0
3 years ago
The ink-jet printing division of Environmental Printing has grown tremendously in recent years. Assume the following transaction
Savatey [412]

Answer:

1. No journal entry required

2. No journal entry required

3 Dr Loss $470,000

Cr Contingent liability $470,000

Explanation:

Preparation of the journal entry to Record any amounts as a result of each of these contingencies

1. Based on the information given we were told that The likelihood of the payment is reasonably possible which means that contingent liability amount was not recognized and therefore NO JOURNAL ENTRY IS REQUIRED

No journal entry required

2. Based on the information given we were told that Environmental Printing was expecting to win the case and be awarded the cash amount involved which means NO JOURNAL ENTRY IS REQUIRED reason been the CONTINGENT GAIN will not be recognized until the amount is received.

No journal entry required

3. Contingent liability was recorded because the payment is reasonably possible and Estimated.

Dr Loss $470,000

Cr Contingent liability $470,000

7 0
2 years ago
Rooney, Inc. is considering the purchase of a new machine costing $700,000. The machine's useful life is expected to be 8 years
Fiesta28 [93]

Answer:

NPV = $74,951.80

Explanation:

The net present value is the present value of after tax cash flows from an investment less the amount invested.

NPV can be calculated using a financial calculator:

Cash flow in year 0 =  $700,000

Cash flow each year from 1 year 8 =  $156,000

I = 12%

NPV = $74,951.80

To find the NPV using a financial calacutor:

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

I hope my answer helps you

6 0
3 years ago
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