Fight Finance

Question 37  IRR

If a project's net present value (NPV) is zero, then its internal rate of return (IRR) will be:

(a) Positive infinity (##+\infty##)

(b) Zero (0).

(c) Less than the project's required return.

(d) More than the project's required return.

(e) Equal to the project's required return.

Question 123  option

Below are 4 option graphs. Note that the y-axis is payoff at maturity (T). What options do they depict? List them in the order that they are numbered

(a) 1: short call, 2: long call, 3: short put, 4: long put.

(b) 1: long call, 2: long put, 3: short call, 4: short put.

(c) 1: short put, 2: long put, 3: short call, 4: long call.

(d) 1: long put, 2: short put, 3: long call, 4: short call.

(e) 1: short call, 2: long put, 3: long call, 4: short put.

Question 226  CFFA

Find World Bar's Cash Flow From Assets (CFFA), also known as Free Cash Flow to the Firm (FCFF), over the year ending 30th June 2013.

World Bar
Income Statement for
year ending 30th June 2013
	$m
Sales	300
COGS	150
Operating expense	50
Depreciation	40
Interest expense	10
Taxable income	50
Tax at 30%	15
Net income	35

World Bar
Balance Sheet
as at 30th June	2013	2012
	$m	$m
Assets
Current assets	200	230
PPE
Cost	400	400
Accumul. depr.	75	35
Carrying amount	325	365
Total assets	525	595
Liabilities
Current liabilities	150	205
Non-current liabilities	235	250
Owners' equity
Retained earnings	100	100
Contributed equity	40	40
Total L and OE	525	595

 

Note: all figures above and below are given in millions of dollars ($m).

(a) 145

(b) 100

(c) 90

(d) 60

(e) -20

Question 227  bond pricing, premium par and discount bonds

Which one of the following bonds is trading at a premium?

(a) a ten-year bond with a $4,000 face value whose yield to maturity is 6.0% and coupon rate is 5.9% paid semi-annually.

(b) a fifteen-year bond with a $10,000 face value whose yield to maturity is 8.0% and coupon rate is 7.8% paid semi-annually.

(c) a five-year bond with a $2,000 face value whose yield to maturity is 7.0% and coupon rate is 7.2% paid semi-annually.

(d) a two-year bond with a $50,000 face value whose yield to maturity is 5.2% and coupon rate is 5.2% paid semi-annually.

(e) None of the above bonds are premium bonds.

Question 253  NPV, APR

You just started work at your new job which pays $48,000 per year.

The human resources department have given you the option of being paid at the end of every week or every month.

Assume that there are 4 weeks per month, 12 months per year and 48 weeks per year.

Bank interest rates are 12% pa given as an APR compounding per month.

What is the dollar gain over one year, as a net present value, of being paid every week rather than every month?

(a) $179.6269

(b) $177.8484

(c) $168.4762

(d) $166.8081

(e) $165.1565

Question 265  APR, Annuity

On his 20th birthday, a man makes a resolution. He will deposit $30 into a bank account at the end of every month starting from now, which is the start of the month. So the first payment will be in one month. He will write in his will that when he dies the money in the account should be given to charity.

The bank account pays interest at 6% pa compounding monthly, which is not expected to change.

If the man lives for another 60 years, how much money will be in the bank account if he dies just after making his last (720th) payment?

(a) $712,534.12

(b) $211,628.47

(c) $21,600.00

(d) $15,993.85

(e) $5,834.58

Question 375  interest tax shield, CFFA

One formula for calculating a levered firm's free cash flow (FFCF, or CFFA) is to use net operating profit after tax (NOPAT).

###\begin{aligned} FFCF &= NOPAT + Depr - CapEx -\Delta NWC \\ &= (Rev - COGS - Depr - FC)(1-t_c) + Depr - CapEx -\Delta NWC \\ \end{aligned} \\###

Does this annual FFCF or the annual interest tax shield?

Question 433  Merton model of corporate debt, real option, option, no explanation

A risky firm will last for one period only (t=0 to 1), then it will be liquidated. So it's assets will be sold and the debt holders and equity holders will be paid out in that order. The firm has the following quantities:

##V## = Market value of assets.

##E## = Market value of (levered) equity.

##D## = Market value of zero coupon bonds.

##F_1## = Total face value of zero coupon bonds which is promised to be paid in one year.

What is the payoff to equity holders at maturity, assuming that they keep their shares until maturity?

(a) ##max(V_1 - F_1, 0)##.

(b) ##max(V_1 - D_1, 0)##.

(c) ##max(F_1 - V_1, 0)##.

(d) ##max(D_1 - V_1, 0)##.

(e) ##-min(F_1 - V_1, 0)##.

Question 796  option, Black-Scholes-Merton option pricing, option delta, no explanation

Which of the following quantities from the Black-Scholes-Merton option pricing formula gives the risk-neutral probability that a European call option will be exercised?

(a) ##N[d_1]##

(b) ##N[d_2]##

(c) ##−N[−d_1]##

(d) ##−N[−d_2]##

(e) ##N[−d_2]##

Question 961  stock split, bonus issue

Which one of the following statements is NOT correct? A 1-for-4 bonus issue:

(a) Will increase the number of shares by 25%.

(b) Will decrease the share price by 25%.

(c) Is equivalent to a 5-for-4 stock split.

(d) Is equivalent to a 25% stock dividend.

(e) Has no effect on the firm's cash flow.