For a price of $100, Rad will sell you a 5 year bond paying semi-annual coupons of 16% pa. The face value of the bond is $100. Other bonds with the same risk, maturity and coupon characteristics trade at a yield of 6% pa.
Portfolio Details | ||||||
Stock | Expected return |
Standard deviation |
Covariance ##(\sigma_{A,B})## | Beta | Dollars invested |
|
A | 0.2 | 0.4 | 0.12 | 0.5 | 40 | |
B | 0.3 | 0.8 | 1.5 | 80 | ||
What is the standard deviation (not variance) of the above portfolio? Note that the stocks' covariance is given, not correlation.
Question 121 capital structure, leverage, financial distress, interest tax shield
Fill in the missing words in the following sentence:
All things remaining equal, as a firm's amount of debt funding falls, benefits of interest tax shields __________ and the costs of financial distress __________.
A project's net present value (NPV) is negative. Select the most correct statement.
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.
Question 320 foreign exchange rate, monetary policy, American and European terms
Investors expect the Reserve Bank of Australia (RBA) to decrease the overnight cash rate at their next meeting.
Then unexpectedly, the RBA announce that they will keep the policy rate unchanged.
What do you expect to happen to Australia's exchange rate in the short term? The Australian dollar is likely to:
Question 419 capital budgeting, NPV, interest tax shield, WACC, CFFA, CAPM, no explanation
Project Data | ||
Project life | 1 year | |
Initial investment in equipment | $6m | |
Depreciation of equipment per year | $6m | |
Expected sale price of equipment at end of project | 0 | |
Unit sales per year | 9m | |
Sale price per unit | $8 | |
Variable cost per unit | $6 | |
Fixed costs per year, paid at the end of each year | $1m | |
Interest expense in first year (at t=1) | $0.53m | |
Tax rate | 30% | |
Government treasury bond yield | 5% | |
Bank loan debt yield | 6% | |
Market portfolio return | 10% | |
Covariance of levered equity returns with market | 0.08 | |
Variance of market portfolio returns | 0.16 | |
Firm's and project's debt-to-assets ratio | 50% | |
Notes
- Due to the project, current assets will increase by $5m now (t=0) and fall by $5m at the end (t=1). Current liabilities will not be affected.
Assumptions
- The debt-to-assets 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.
- Millions are represented by 'm'.
- 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 real. 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?
Question 787 fixed for floating interest rate swap, 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 | 2 | L - 0.1 | ||
Firm B | 2.5 | L | ||
Firm A wishes to borrow at a floating rate and Firm B wishes to borrow at a fixed rate. Design an intermediated swap (which means there will actually be two swaps) that nets a bank 0.15% and grants the remaining swap benefits to Firm A only. Which of the following statements about the swap is NOT correct?
Question 871 duration, Macaulay duration, modified duration, portfolio duration
Which of the following statements about Macaulay duration is NOT correct? The Macaulay duration: