Fight Finance

Question 81  risk, correlation, diversification

Stock A and B's returns have a correlation of 0.3. Which statement is NOT correct?

(a) If stock A's return increases, stock B's return is also expected to increase.

(b) If stock A's return decreases, stock B's return is also expected to decrease.

(c) If stock A and B were combined in a portfolio, there would be no diversification at all since they are positively correlated.

(d) Stock A and B's returns have positive covariance.

(e) a and b.

Question 168  bond pricing

A four year bond has a face value of $100, a yield of 6% and a fixed coupon rate of 12%, paid semi-annually. What is its price?

(a) 67.2123

(b) 78.9409

(c) 81.7042

(d) 111.1513

(e) 121.0591

Question 174  profitability index

A project has the following cash flows:

Project Cash Flows
Time (yrs)	Cash flow ($)
0	-400
1	200
2	250

What is the Profitability Index (PI) of the project? Assume that the cash flows shown in the table are paid all at once at the given point in time. The required return is 10% pa, given as an effective annual rate.

(a) 0.9711

(b) 1.1750

(c) 1.3063

(d) 1.5537

(e) 1.8800

Question 349  CFFA, depreciation tax shield

Which one of the following will decrease net income (NI) but increase cash flow from assets (CFFA) in this year for a tax-paying firm, all else remaining constant?

Remember:

###NI = (Rev-COGS-FC-Depr-IntExp).(1-t_c )### ###CFFA=NI+Depr-CapEx - \Delta NWC+IntExp###

(a) An increase in revenue (Rev).

(b) An increase in rent expense (part of fixed costs, FC).

(c) An increase in depreciation expense (Depr).

(d) An decrease in net working capital (ΔNWC).

(e) An increase in dividends.

Question 361  CFFA

Over the next year, the management of an unlevered company plans to:

• Make $5m in sales, $1.9m in net income and $2m in equity free cash flow (EFCF).
• Pay dividends of $1m.
• Complete a $1.3m share buy-back.

Assume that:

• All amounts are received and paid at the end of the year so you can ignore the time value of money.
• The firm has sufficient retained profits to legally pay the dividend and complete the buy back.
• The firm plans to run a very tight ship, with no excess cash above operating requirements currently or over the next year.

How much new equity financing will the company need? In other words, what is the value of new shares that will need to be issued?

(a) $2m

(b) $1m

(c) $0.4m

(d) $0.3m

(e) No new shares need to be issued, the firm will be sufficiently financed.

Question 438  option, no explanation

Two put options are exactly the same, but one matures in one year and the other matures in two years. Which option would you expect to have the higher price, the option which matures or , or should they have the price?

Question 543  price gains and returns over time, IRR, NPV, income and capital returns, effective return

For an asset price to triple every 5 years, what must be the expected future capital return, given as an effective annual rate?

(a) 0.6

(b) 0.319508

(c) 0.269705

(d) 0.245731

(e) 0.219755

Question 647  open interest, trade volume, future

Alice, Bob, Chris and Delta are traders in the futures market. The following trades occur over a single day in a newly-opened equity index future that matures in one year which the exchange just made available.

1. Alice buys a future from Bob.

2. Chris buys a future from Delta.

3. Delta buys a future from Bob.

These were the only trades made in this equity index future. What was the trading volume and what is the open interest?

(a) Daily trading volume is 3 contracts, open interest is 3 contracts.

(b) Daily trading volume is 3 contracts, open interest is 2 contracts.

(c) Daily trading volume is 3 contracts, open interest is 1 contract.

(d) Daily trading volume is 2 contracts, open interest is 3 contracts.

(e) Daily trading volume is 2 contracts, open interest is 2 contracts.

Question 827  future, basis risk, no explanation

You intend to use futures on oil to hedge the risk of purchasing oil. There is no cross-hedging risk. Oil pays no dividends but it’s costly to store. Which of the following statements about basis risk in this scenario is NOT correct?

(a) Basis risk makes hedges more risky.

(b) Basis risk can only lead to worse than expected effective dollar prices.

(c) Basis risk only occurs when the future is closed out early, before it matures.

(d) ‘The basis’ is defined as the underlying spot price less the futures price quote ##(S_t - F_{t,T})##.

(e) The futures price of oil will tend to be higher than the spot price due to storage costs, so the basis will tend to be positive for hedgers who long futures contracts.

Question 944  stock split, bonus issue, stock dividend

A 2-for-1 stock split is equivalent to a 1-for-1 bonus issue or a 100% stock dividend. or ?