Fight Finance

Question 198  NPV, DDM, no explanation

A stock is expected to pay the following dividends:

Cash Flows of a Stock
Time (yrs)	0	1	2	3	4	...
Dividend ($)	0	6	12	18	20	...

After year 4, the dividend will grow in perpetuity at 5% pa. The required return of the stock is 10% pa. Both the growth rate and required return are given as effective annual rates.

What is the current price of the stock?

(a) 302.10

(b) 315.76

(c) 329.42

(d) 344.45

(e) 428.90

Question 298  interest only loan

A prospective home buyer can afford to pay $2,000 per month in mortgage loan repayments. The central bank recently lowered its policy rate by 0.25%, and residential home lenders cut their mortgage loan rates from 4.74% to 4.49%.

How much more can the prospective home buyer borrow now that interest rates are 4.49% rather than 4.74%? Give your answer as a proportional increase over the original amount he could borrow (##V_\text{before}##), so:

###\text{Proportional increase} = \frac{V_\text{after}-V_\text{before}}{V_\text{before}} ###

Assume that:

• Interest rates are expected to be constant over the life of the loan.

• Loans are interest-only and have a life of 30 years.

• Mortgage loan payments are made every month in arrears and all interest rates are given as annualised percentage rates compounding per month.

(a) 0.055679

(b) 0.029631

(c) 0.029547

(d) 0.006245

(e) 0.0025

Question 370  capital budgeting, NPV, interest tax shield, WACC, CFFA

Project Data
Project life	2 yrs
Initial investment in equipment	$600k
Depreciation of equipment per year	$250k
Expected sale price of equipment at end of project	$200k
Revenue per job	$12k
Variable cost per job	$4k
Quantity of jobs per year	120
Fixed costs per year, paid at the end of each year	$100k
Interest expense in first year (at t=1)	$16.091k
Interest expense in second year (at t=2)	$9.711k
Tax rate	30%
Government treasury bond yield	5%
Bank loan debt yield	6%
Levered cost of equity	12.5%
Market portfolio return	10%
Beta of assets	1.24
Beta of levered equity	1.5
Firm's and project's debt-to-equity ratio	25%

Notes

1. The project will require an immediate purchase of $50k of inventory, which will all be sold at cost when the project ends. Current liabilities are negligible so they can be ignored.

Assumptions

• The debt-to-equity ratio will be kept constant throughout the life of the project. The amount of interest expense at the end of each period has been correctly calculated to maintain this constant debt-to-equity ratio. Note that interest expense is different in each year.
• Thousands are represented by 'k' (kilo).
• All cash flows occur at the start or end of the year as appropriate, not in the middle or throughout the year.
• All rates and cash flows are nominal. The inflation rate is 2% pa.
• All rates are given as effective annual rates.
• The 50% capital gains tax discount is not available since the project is undertaken by a firm, not an individual.

What is the net present value (NPV) of the project?

(a) $684.222k

(b) $690.919k

(c) $697.616k

(d) $698.713k

(e) $710.601k

Question 444  investment decision, corporate financial decision theory

The investment decision primarily affects which part of a business?

(a) Assets.

(b) Liabilities and owner's equity.

(c) Current assets and current liabilities.

(d) Dividends and buy backs.

(e) Net income, also known as earnings or net profit after tax.

Question 501  NPV, IRR, pay back period

The below graph shows a project's net present value (NPV) against its annual discount rate.

Which of the following statements is NOT correct?

(a) When the project's discount rate is 18% pa, the NPV is approximately -$30m.

(b) The payback period is infinite, the project never pays itself off.

(c) The addition of the project's cash flows, ignoring the time value of money, is approximately $20m.

(d) The project's IRR is approximately 5.5% pa.

(e) As the discount rate rises, the NPV falls.

Question 507  leverage, accounting ratio

A firm has a debt-to-equity ratio of 60%. What is its debt-to-assets ratio?

(a) 64%

(b) 40%

(c) 37.5%

(d) 25%

(e) 6.25%

Question 873  Sharpe ratio, Treynor ratio, Jensens alpha, SML, CAPM

Which of the following statements is NOT correct? Fairly-priced assets should:

(a) Have Sharpe ratios equal to the market’s.

(b) Have Treynor ratios equal to the market's.

(c) Have Jensen’s alphas that are zero.

(d) Not necessarily be bought or sold since there's no gain either way.

(e) Plot on the Security Market Line (SML).

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.

Question 988  variance, covariance, beta, CAPM, risk, no explanation

Price Data Time Series
Sourced from Yahoo Finance Historical Price Data
Date	S&P500 Index (^GSPC)						Apple (AAPL)
	Open	High	Low	Close	Adj close		Open	High	Low	Close	Adj close
2007, Wed 3 Jan	1418	1429	1408	1417	1417		12.33	12.37	11.7	11.97	10.42
2008, Wed 2 Jan	1468	1472	1442	1447	1447		28.47	28.61	27.51	27.83	24.22
2009, Fri 2 Jan	903	935	899	932	932		12.27	13.01	12.17	12.96	11.28
2010, Mon 4 Jan	1117	1134	1117	1133	1133		30.49	30.64	30.34	30.57	26.6
Source: Yahoo Finance.

 

Which of the following statements about the above table which is used to calculate Apple's equity beta is NOT correct?

(a) Adjusted closing prices add back dividends and reverse the effect of stock splits.

(b) Apple's effective annual total return between the market close on 2 January 2008 and 2 January 2009 was -0.534269 (=(24.22-11.28)/24.22).

(c) Sample variance of the S&P500's effective annual total returns over the 3 year period was 0.084452.

(d) Sample covariance of effective total annual returns between Apple and the S&P500 index over the 3 year period was 0.041131.

(e) Apple's equity beta of annual total returns over the 3 year period was 3.530767.

Question 989  PE ratio, Multiples valuation, leverage, accounting ratio

A firm has 20 million stocks, earnings (or net income) of $100 million per annum and a 60% debt-to-equity ratio where both the debt and asset values are market values rather than book values. Similar firms have a PE ratio of 12.

Which of the below statements is NOT correct based on a PE multiples valuation?

(a) The EPS is $5.

(b) The market capitalisation of equity is $1.2 billion.

(c) The share price is $60.

(d) The market capitalisation of debt is $0.72 billion.

(e) The debt-to-assets ratio is 40%.