The required return of a project is 10%, given as an effective annual rate. Assume that the cash flows shown in the table are paid all at once at the given point in time.
What is the Profitability Index (PI) of the project?
Project Cash Flows | |
Time (yrs) | Cash flow ($) |
0 | -100 |
1 | 0 |
2 | 121 |
All things remaining equal, the variance of a portfolio of two positively-weighted stocks rises as:
Question 207 income and capital returns, bond pricing, coupon rate, no explanation
For a bond that pays fixed semi-annual coupons, how is the annual coupon rate defined, and how is the bond's annual income yield from time 0 to 1 defined mathematically?
Let: ##P_0## be the bond price now,
##F_T## be the bond's face value,
##T## be the bond's maturity in years,
##r_\text{total}## be the bond's total yield,
##r_\text{income}## be the bond's income yield,
##r_\text{capital}## be the bond's capital yield, and
##C_t## be the bond's coupon at time t in years. So ##C_{0.5}## is the coupon in 6 months, ##C_1## is the coupon in 1 year, and so on.
Question 337 capital structure, interest tax shield, leverage, real and nominal returns and cash flows, multi stage growth model
A fast-growing firm is suitable for valuation using a multi-stage growth model.
It's nominal unlevered cash flow from assets (##CFFA_U##) at the end of this year (t=1) is expected to be $1 million. After that it is expected to grow at a rate of:
- 12% pa for the next two years (from t=1 to 3),
- 5% over the fourth year (from t=3 to 4), and
- -1% forever after that (from t=4 onwards). Note that this is a negative one percent growth rate.
Assume that:
- The nominal WACC after tax is 9.5% pa and is not expected to change.
- The nominal WACC before tax is 10% pa and is not expected to change.
- The firm has a target debt-to-equity ratio that it plans to maintain.
- The inflation rate is 3% pa.
- All rates are given as nominal effective annual rates.
What is the levered value of this fast growing firm's assets?
A firm is considering a business project which costs $10m now and is expected to pay a single cash flow of $12.1m in two years.
Assume that the initial $10m cost is funded using the firm's existing cash so no new equity or debt will be raised. The cost of capital is 10% pa.
Which of the following statements about net present value (NPV), internal rate of return (IRR) and payback period is NOT correct?
Question 578 inflation, real and nominal returns and cash flows
Which of the following statements about inflation is NOT correct?
In 2014 the median starting salaries of male and female Australian bachelor degree accounting graduates aged less than 25 years in their first full-time industry job was $50,000 before tax, according to Graduate Careers Australia. See page 9 of this report. Personal income tax rates published by the Australian Tax Office are reproduced for the 2014-2015 financial year in the table below.
Taxable income | Tax on this income |
---|---|
0 – $18,200 | Nil |
$18,201 – $37,000 | 19c for each $1 over $18,200 |
$37,001 – $80,000 | $3,572 plus 32.5c for each $1 over $37,000 |
$80,001 – $180,000 | $17,547 plus 37c for each $1 over $80,000 |
$180,001 and over | $54,547 plus 45c for each $1 over $180,000 |
The above rates do not include the Medicare levy of 2%. Exclude the Medicare levy from your calculations
How much personal income tax would you have to pay per year if you earned $50,000 per annum before-tax?
Question 877 arithmetic and geometric averages, utility, utility function
Gross discrete returns in different states of the world are presented in the table below. A gross discrete return is defined as ##P_1/P_0##, where ##P_0## is the price now and ##P_1## is the expected price in the future. An investor can purchase only a single asset, A, B, C or D. Assume that a portfolio of assets is not possible.
Gross Discrete Returns | ||
In Different States of the World | ||
Investment | World states (probability) | |
asset | Good (50%) | Bad (50%) |
A | 2 | 0.5 |
B | 1.1 | 0.9 |
C | 1.1 | 0.95 |
D | 1.01 | 1.01 |
Which of the following statements about the different assets is NOT correct? Asset:
This question is about the Balance of Payments. Australia's current account as a percent of nominal gross domestic product (GDP) per annum is shown in the graph below.
Assume that all foreign and domestic assets are either debt which makes interest income or equity which makes dividend income, and vice versa for liabilities which cost interest and dividend payments, respectively.
Which of the following statements is NOT correct?