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kherson [118]
4 years ago
15

George Johnson recently inherited a large sum of money; he wants to use a portion of this money to set up a trust fund for his t

wo children. The trust fund has two investment options: (1) a bond fund and (2) a stock fund. The projected returns over the life of the investments are 6% for the bond fund and 10% for the stock fund. Whatever portion of the inheritance George finally decides to commit to the trust fund, he wants to invest at least 30% of that amount in the bond fund. In addition, he wants to select a mix that will enable him to obtain a total return of at least 7.5%. Formulate a linear programming model that can be used to determine the percentage that should be allocated to each of the possible investment alternatives. If required, round your answers to three decimal places. Value of optimal solution is %
Business
1 answer:
rosijanka [135]4 years ago
4 0

Answer:

Return on investment

X * 0.06 + (1-X)*0.1 = 0.075

<u>where: </u>

1>X >0.30

X is the percentage invest on bond fund

It needs to invest 62.5% in the bond fund

and 37.5% in the stock und to achieve 7.5% return

Explanation:

We have a certain amount divided into two option.

being X the bond fund the rmainder (1 - X) will be invested in the stock fund

We want at least an X of 30%

and achieve 7.5% return

0.06X + 0.1 - 0.1X = 0.075

0.1-0.075 = 0.04X

X = 0.025/0.04 = .625 = 62.5%

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Mountain Top Markets has total assets of $48,700, net working capital of $1,100, and retained earnings of $21,200. The firm has
spin [16.1K]

Answer: 2.63

Explanation:

The Market to Book ratio is also referred to as the price to book ratio. It is a financial evaluation of the market value of a company relative to its book value. It should be noted that the market value is current stock price of every outstanding shares that the company has while the book value is the amount that the company will have left after its assets have been liquidated and all liabilities have been repaid.

The market-to-book ratio will be the market price per share divided by the book value. It should be noted that the book value per share is the net worth of the business divided by the number of outstanding shares. The book value will be:

= [(12500 ×1) + $21200]/12500

= ($12500 + $21200)/$12500

= $33700/12500

=$2.70

The market-to-book ratio will now be:

= $7.10/$2.70

=2.63

6 0
3 years ago
You are considering to buy a $250,000 property with a 80% LTV ratio and have two mortgage choices: a FRM or a FRM with an IO per
scoray [572]

Answer:

Statement # 1: False

Statement # 2: True

Statement # 3: False

Statement # 4: True

Explanation:

Lets look at each statement provided in the question and determine which of them is true or false.

Statement # 1 is false. First things first, the interest on this loan amount is higher which is at 4.15%. This is compared to the interest of 4% applicable on loan option 1. Secondly, there is a four year interest only option. This means that for 4 years there will be no repayments of the principal amount which means that the interest of 4.15% will continue to apply on the entire loan amount for these 4 years. In loan 1 however, principal repayments will reduce the principal amount after the 1st year which would further reduce the interest payment in the second year.

Statement # 2 is true. Loan 2 has an interest only period for the first 4 years. During this year you will only pay the 4.15% interest whereas in loan option 1, you will pay 4% interest AND the principal amount. The effect would offset once principal payments start in loan 2 but it would still mean that payments would be minimized in the first few years.

Statement # 3 is false. One of the advantages of having a loan with an interest free clause is that you can pay it off faster than a conventional loan. Since both the loans are fully amortizing, the principal payments would be different but would both result in the principal being repaid in the full 30 year tenor. Any extra payment that you wish to make would be counted towards principal payment in each loan option. However, for loan 1, the total monthly payments you make would remain the same. For loan 2, the extra payments that you make will continue to lower the monthly payments in way of interest which would allow you to save up more to pay more off in principal. The interest only period will also allow you to arrange extra funds during the IO period and repay the principal further. With loan 1, you will continue to make the same monthly payment until the end.

Statement # 4 is true. A fixed payment is being made each year by way of interest and principal repayments and will remain the same till the loan is fully amortized at maturity. In loan 2 on the other hand, a larger balloon payment will start 4 years later since only interest is paid in the first 4 years. So basically you may lower in the first 4 years and more in the remaining years.

5 0
3 years ago
Midyear on July 31st, the Andrews Corporation's balance sheet reported: Total Liabilities of $81.319 million Cash of $8.040 mill
hoa [83]

Answer: $104.369 million

Explanation:

Given that,

Total Liabilities = $81.319 million

Cash = $8.040 million

Total Assets = $190.768 million

Total Common Stock = $5.080 million

Therefore,

                     Total assets = Total liabilities + Total stockholders' equity

              $190.768 million = $81.319 million + Total stockholders' equity

Total stockholders' equity = $190.768 million - $81.319 million

                                            = $ 109.449 million

Total stockholders' equity = Total common stock + Retained earnings

Retained earnings = Total stockholders' equity - Total common stock

                                = $ 109.449 million - $5.080 million

                                = $104.369 million

6 0
3 years ago
Question 18
Scilla [17]

Answer:

if, before the sale, notice is given to Fertile Farm.

Explanation:

hope this helps you have a nice day :)

5 0
2 years ago
Hooray! You won the lottery, but you have a choice of taking the $20,000 per year for the next 20 years or taking a lump settlem
Artyom0805 [142]

Answer:

The minimum value is $196,362.95

Explanation:

Giving the following information:

Cash flow= $20,000

The number of years= 20 years

Interest rate= 8%

First, we need to calculate the future value of the cash flows. We will use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= cash flow

FV= {20,000*[(1.08^20)-1]} /0.08

FV= $915,239.29

Now, we can calculate the present value. The present value is the minimum value yo accept.

PV= FV/(1+i)^n

PV= 915,239.29/ 1.08^20

PV= $196,362.95

3 0
3 years ago
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