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 Net Present Value (NPV) of the project?
Project Cash Flows | |
Time (yrs) | Cash flow ($) |
0 | -100 |
1 | 11 |
2 | 121 |
Question 213 income and capital returns, bond pricing, premium par and discount bonds
The coupon rate of a fixed annual-coupon bond is constant (always the same).
What can you say about the income return (##r_\text{income}##) of a fixed annual coupon bond? Remember that:
###r_\text{total} = r_\text{income} + r_\text{capital}###
###r_\text{total, 0 to 1} = \frac{c_1}{p_0} + \frac{p_1-p_0}{p_0}###
Assume that there is no change in the bond's total annual yield to maturity from when it is issued to when it matures.
Select the most correct statement.
From its date of issue until maturity, the income return of a fixed annual coupon:
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
- 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?
Some financially minded people insist on a prenuptial agreement before committing to marry their partner. This agreement states how the couple's assets should be divided in case they divorce. Prenuptial agreements are designed to give the richer partner more of the couples' assets if they divorce, thus maximising the richer partner's:
Question 575 inflation, real and nominal returns and cash flows
You expect a nominal payment of $100 in 5 years. The real discount rate is 10% pa and the inflation rate is 3% pa. Which of the following statements is NOT correct?
Question 691 continuously compounding rate, effective rate, continuously compounding rate conversion, no explanation
A bank quotes an interest rate of 6% pa with quarterly compounding. Note that another way of stating this rate is that it is an annual percentage rate (APR) compounding discretely every 3 months.
Which of the following statements about this rate is NOT correct? All percentages are given to 6 decimal places. The equivalent:
Question 708 continuously compounding rate, continuously compounding rate conversion
Convert a 10% continuously compounded annual rate ##(r_\text{cc annual})## into an effective annual rate ##(r_\text{eff annual})##. The equivalent effective annual rate is:
Question 785 fixed for floating interest rate swap, non-intermediated swap
The below table summarises the borrowing costs confronting two companies A and B.
Bond Market Yields | ||||
Fixed Yield to Maturity (%pa) | Floating Yield (%pa) | |||
Firm A | 3 | L - 0.4 | ||
Firm B | 5 | L + 1 | ||
Firm A wishes to borrow at a floating rate and Firm B wishes to borrow at a fixed rate. Design a non-intermediated swap that benefits firm A only. What will be the swap rate?
Question 875 omitted variable bias, systematic and idiosyncratic risk, CAPM, single factor model, two factor model
The Capital Asset Pricing Model (CAPM) and the Single Index Model (SIM) are single factor models whose only risk factor is the market portfolio’s return. Say a Solar electricity generator company and a Beach bathing chair renting company are influenced by two factors, the market portfolio return and cloud cover in the sky. When it's sunny and not cloudy, both the Solar and Beach companies’ stock prices do well. When there’s dense cloud cover and no sun, both do poorly. Assume that cloud coverage risk is a systematic risk that cannot be diversified and that cloud cover has zero correlation with the market portfolio’s returns.
Which of the following statements about these two stocks is NOT correct?
The CAPM and SIM:
Question 897 comparative advantage in trade, production possibilities curve, no explanation
Adam and Bella are the only people on a remote island. Their production possibility curves are shown in the graph.
Which of the following statements is NOT correct?