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SVEN [57.7K]
3 years ago
12

Paul splits an investment of $20000 , a portion earning simple interest at a rate of 3.8 % per year and the rest earning at a ra

te of 8.1 % per year in such a way that the return on the total investment is 6.165 %. How much money was invested at each rate?
Business
1 answer:
koban [17]3 years ago
8 0

Answer:

$9,000 (amount invested at 3.8%)

$11,000 (amount invested at 8.1%)

Explanation:

Let us calculate the total interest earned by both investments

Interest earned= 0.06165* 20,000= $ 1,233

Let principal invested at 3.8% be X

Use formula Interest= principal* rate*time in years

Interest= X*0.038*1= 0.038X

Principal invested at 8.1% be (20,000-X)

So Interest = (20,000-X)*0.081*1= 1,620-0.081X

Total interest earned = Interest at 3.8% + Interest at 8.1%

1,233= 0.038X + 1,620 -0.081X

Rearranging

0.043X= 387

X= 387/0.043

X= $9,000 (amount invested at 3.8%)

Substitute in equation

Principal invested at 8.1%= 20,000-X

= 20,000- 9,000

= $11,000 (amount invested at 8.1%)

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Perit Industries has $135,000 to invest. The company is trying to decide between two alternative uses of the funds. The alternat
Juli2301 [7.4K]

Answer:

1. Net present value of Project A = -41,449.96

2. Net present value of Project B = $143,746.85

3. I would recommend that company accept Project B.

Explanation:

Note: This question is not complete as the requirement are omitted. The requirements are therefore provided to complete the question before answering it as follows:

Perit Industries has $135,000 to invest. The company is trying to decide between two alternative uses of the funds. The alternatives are:

                                                                       Project A           Project B

Cost of equipment required                         $ 135,000                $ 0

Working capital investment required                 $ 0               $ 135,000

Annual cash inflows                                       $ 25,000           $ 63,000

Salvage value of equipment in six years        $ 9,800                $ 0

Life of the project 6 years 6 years

The working capital needed for project B will be released at the end of six years for investment elsewhere. Perit Industries’ discount rate is 17%.

Required:

1. Compute the net present value of Project A. (Enter negative values with a minus sign. Round your final answer to the nearest whole dollar amount.)

2. Compute the net present value of Project B. (Enter negative values with a minus sign. Round your final answer to the nearest whole dollar amount.)

3. Which investment alternative (if either) would you recommend that the company accept?

The explanation of the answers is now provided as follows:

1. Compute the net present value of Project A. (Enter negative values with a minus sign. Round your final answer to the nearest whole dollar amount.)

Cost of equipment required = $135,000

Using the formula for calculating the present value of an ordinary annuity, the present value (PV) of the annual cash inflows can be calculated as follows:

PV of annual cash inflow = Annual cash inflow * (1 - (1 / (1 + discount rate))^Project life) / discount rate) = $25,000 * ((1 - (1 / (1 + 0.17))^6) / 0.17) = $89,729.62

The present value (PV) of the salvage value can be calculated as follows:

PV of salvage value = Salvage value / (1 + + discount rate)^Project life = $9,800 / (1 + 0.17)^6 = $3,820.42

Net present value of Project A = PV of annual cash inflow + PV of salvage value - Cost of equipment required = $89,729.62 + $3,820.42 - $135,000 = -41,449.96

2. Compute the net present value of Project B. (Enter negative values with a minus sign. Round your final answer to the nearest whole dollar amount.)

Working capital investment required = $135,000

Using the formula for calculating the present value of an ordinary annuity, the present value (PV) of the annual cash inflows can be calculated as follows:

PV of annual cash inflow = Annual cash inflow * (1 - (1 / (1 + discount rate))^Project life) / discount rate) = $63,000 * ((1 - (1 / (1 + 0.17))^6) / 0.17) = $226,118.64

The present value (PV) of the Working capital investment required can be calculated as follows:

PV of Working capital investment required = Working capital investment required / (1 + + discount rate)^Project life = $135,000 / (1 + 0.17)^6 = $52,628.21

Net present value of Project B = PV of annual cash inflow + PV of Working capital investment required - Working capital investment required = = $226,118.64 + $52,628.21 - $135,000 = $143,746.85

3. Which investment alternative (if either) would you recommend that the company accept?

From parts 1 and 2 above, we have:

Net present value of Project A = -41,449.96

Net present value of Project B = $143,746.85

Since the Net present value of Project A is negative, it should be rejected.

Since the Net present value of Project B is positive, it should be accepted.

Therefore, I would recommend that company accept Project B.

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I would say define the situation. 

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George's firm contracts to provide risk management services for a wide range of smaller companies that cannot provide the servic
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Answer:

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Explanation:

Here is the complete paragraph

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Answer:

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Answer: not permitted because the agent must not deceive the customer by misstating a material fact.

Explanation:

From the question, we are informed that a customer asks an agent for a valuation of his securities portfolio and that because the agent does not want to cause the customer to panic and sell his shares at a loss, the agent inflates the value of the stock.

It should be noted that under the Uniform Securities Act, this action is not allowed because the agent must not deceive the customer by misstating a material fact. An agent should not deceive a customer and ethical behavior is also required.

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3 years ago
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