Compute a price-weighted index by adding their prices at

Question

1.  In late 2014, you purchased the common stock of a company that has reported significant earnings increases in nearly every quarter since your purchase. The price of the stock increased from $12 a share at the time of the purchase to a current level of $45. Notwithstanding the success of the company, competitors are gaining much strength. Further, your analysis indicates that the stock may be over-priced based on your projection of future earnings growth.

Your analysis, however, was the same one year ago and the earnings have continued to increase. Actions that you might take range from an outright sale of the stock (and the payment of capital gains tax) to doing nothing and continuing to hold the shares. You reflect on these choices as well as other actions that could be taken. Describe the various actions that you might take and their implications.

2. Which of the following securities is likely to be the most liquid according to these data? Explain.

Stock	Bid	Ask
R	$39.43	$39.55
S	13.67	13.77
T	116.02	116.25

3. You purchased shares of Broussard Company using 50 percent margin; you invested a total of $20,000 (buying 1,000 shares at a price of $20 per share) by using $10,000 of your own funds and borrowing $10,000. Determine your percentage profit or loss under the following situations (ignore borrowing costs, dividends, and taxes). In addition, what would the percentage profit and loss be in these scenarios if margin were not used?

1. the stock price rises to $23 a share
2. the stock price rises to $30 a share
3. the stock price falls to $16 a share
4. the stock price falls to $10 a share

4. The Trio Index includes three stocks, Eins, Zwei, and Tri. Their current prices are listed below.

Stock	Price at Time (t)
Eins	$10
Zwei	$20
Tri	$40

1. Between now and the next time period, the stock prices of Eins and Zwei increase 10 percent while Tri increases 20 percent. What is the percentage change in the price-weighted Trio Index?
2. Suppose, instead, that the price of Eins increases 20 percent while Zwei and Tri rise 10 percent. What is the percentage change in the price-weighted Trio Index? Why does it differ from the answer to part a?

5. The four stocks below are part of an index. Use the information below:

1. Compute a price-weighted index by adding their prices at time t and time t + 1. What is the percentage change in the index?
2. Compute a value-weighted index by adding their market values at time t and time t + 1. What is the percentage change in the index?
3. Why is there a difference between your answers to (a) and (b)?

Stock	# Of Shares Outstanding	Price at Time (t)	Price at Time (t + 1)
Eeny	100	10	15
Meeny	50	20	22
Miney	50	30	28
Moe	20	40	42

6. The Quad Index is comprised of four stocks: Uno, Dos, Tres, and Fore.

1. Given the data below on the number of shares outstanding and their share prices at time (t) and time (t + 1), what is the percentage change in the Quad Index if it is calculated as a price-weighted index? As a value-weighted index?

Stock	# Of Shares Outstanding	Price at Time (t)	Price at Time (t + 1)
Uno	1000	$10	$11
Dos	500	20	21
Tres	250	40	42
Fore	100	50	60

1. Instead of the prices shown above, suppose we switch the prices for Uno and Fore. That is, Uno's stock price is $50 at time (t) and it rises to $60 by time (t + 1), and Fore's stock price rises from $10 to $11 over the same time frame. What is the percentage change in the Quad Index if it is computed as a price-weighted index? As a value-weighted index?
2. Explain similarities or differences in your answers to Parts (a) and (b).

7. A U.S. firm wants to raise $10 million of capital so it can invest in new technology. How much will it need to raise to net $10 million using the average costs of raising funds in the chapter?

8. A U.S. firm wants to raise $15 million by selling 1 million shares at a net price of $15. We know that some say that firms "leave money on the table" because of the phenomenon of underpricing.

1. Using the average amount of underpricing in U.S. IPOs, how many fewer shares could it sell to raise these funds if the firm received a net price per share equal to the value of the shares at the end of the first day's trading?
2. How many less shares could it sell if the IPO was occurring in Germany?
3. How many less shares could it sell if the IPO was occurring in Korea?
4. How many less shares could it sell if the IPO was occurring in Canada?

9.  Below are the results of a Dutch auction for an IPO of Bagel's Bagels, a trendy bagel and coffee shop chain. Bagel's is offering 50 million shares.

Bidder	Bid Price	Number of Shares
Matthew	$50.25	15 million
Kevin	49.75	20 million
Amy	49.45	20 million
Megan	49.00	10 million

1. What will be the clearing price?
2. How many shares will each bidder receive if Bagel's allocates shares on a pro rata basis to all the successful bidders?

10. Boneyard Biscuits' Dutch auction for an IPO was a great success. The firm offered 100 million shares. Bids appear below.

Bidder	Bid Price	Number of Shares
Manahan	$25.25	25 million
Campbell	24.95	30 million
Maloney	24.75	25 million
Touma	24.40	10 million
Clark	24.40	30 million
Fry	24.25	15 million

1. What is the clearing price?
2. What options do Boneyard and its underwriters have for allocating shares? How many shares will each bidder receive under each option?