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Present Value, Future Value questions

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1. Raybac is about to go public. Its present stockholders own 5000,000 shares. The new public issue will represent 800,000 shares. The shares will be priced at $25 to the public with a 4% spread. The out-of-pocket costs will be $450,000. What are the net proceeds to the firm?
$18,750,000
$19,200,000
$18,250,000
$19,550,000

2. Dr. Jones wants to buy a Dell computer, which will cost $2,788 four years from today. He would like to set aside an equal amount at the end of each year, in order to accumulate the amount needed. He can earn 7% annual return. How much should he set aside?
$697.00
$627.93
$823.15
$531.81

3. Mr. Smith just invested $20,000 for his 7 year old son. The money will be used for the son's education in 10 years, which he estimates will cost $70,000. What rate of return will Mr. Smith need, in order to meet this goal?
Between 12% and 13%
Between 13% and 14%
Between 14% and 15%
Between 15% and 16%

4. Carol Thomas will deposit $2,000 today. It will grow for 6 years, at 10% interest, compounded semiannually. She will then withdraw the funds, annually over the next 4 years. The annual interest rate is 8%. Her annual withdrawal will be ______.
$2,340
$4,332
$797
$1,085

5. To save for her newborn son's college education, Leas Wilson will invest $1,000 at the beginning of each year for the next 18 years the interest rate is 12%. What is the future value?
$30,690
$34,931
$63,440
$55,750

6. A firm has $1,000,000 in its common stock account and $2,500,000 in its paid-in capital account. The firm issued 100, shares of common stock. What was the original issue price, if only one stock issue has ever been sold?
$35 per share
$30 per share
$25 per share
$10 per share

7. Maxwell Corporation is coming to the market with a new offering of 3000,000 shares of stock at $25 to the public. Maxwell will receive $22 per share. The firm has 1 million shares outstanding and earnings of $6 million. What is the amount of dilution in earnings per share?
$2.00
$1.38
$1.77

8. No dilution occurs since new money is received by Maxwell.
Which investment has the least amount of risk?
Standard deviation = $500, expected return = $5000
Standard deviation = $700, expected return = $500
Standard deviation = $900, expected return = $800
Standard deviation = $400, expected return = $350

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Solution Summary

The solution explains how to calculate the present value and future value of amounts and annuity

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1. Raybac is about to go public. Its present stockholders own 5000,000 shares. The new public issue will represent 800,000 shares. The shares will be priced at $25 to the public with a 4% spread. The out-of-pocket costs will be $450,000. What are the net proceeds to the firm?
$18,750,000
$19,200,000
$18,250,000
$19,550,000

The spread is 4%. The net proceeds per share are 25X.96 = $24. Number of shares issued are 800,000.
Total amount received is 800,000X24-450,000 = 1,875,000

2. Dr. Jones wants to buy a Dell computer, which will cost $2,788 four years from today. He would like to set aside an equal amount at the end of each year, in order to accumulate the amount needed. He can earn 7% annual return. How much should he set aside?
$697.00
$627.93
$823.15
$531.81

We have to find the annnuity amount that would grow to $2,788 in 4 years at 7%. Use the PMT function in excel to calculate the annuity. It comes to 627.93

3. Mr. Smith just ...

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