The phone company Telstra have 2 mobile service plans on offer which both have the same amount of phone call, text message and internet data credit. Both plans have a contract length of 24 months and the monthly cost is payable in advance. The only difference between the two plans is that one is a:
- 'Bring Your Own' (BYO) mobile service plan, costing $50 per month. There is no phone included in this plan. The other plan is a:
- 'Bundled' mobile service plan that comes with the latest smart phone, costing $71 per month. This plan includes the latest smart phone.
Neither plan has any additional payments at the start or end.
The only difference between the plans is the phone, so what is the implied cost of the phone as a present value?
Assume that the discount rate is 2% per month given as an effective monthly rate, the same high interest rate on credit cards.
Question 339 bond pricing, inflation, market efficiency, income and capital returns
Economic statistics released this morning were a surprise: they show a strong chance of consumer price inflation (CPI) reaching 5% pa over the next 2 years.
This is much higher than the previous forecast of 3% pa.
A vanilla fixed-coupon 2-year risk-free government bond was issued at par this morning, just before the economic news was released.
What is the expected change in bond price after the economic news this morning, and in the next 2 years? Assume that:
- Inflation remains at 5% over the next 2 years.
- Investors demand a constant real bond yield.
- The bond price falls by the (after-tax) value of the coupon the night before the ex-coupon date, as in real life.
Acquirer firm plans to launch a takeover of Target firm. The deal is expected to create a present value of synergies totaling $105 million. A 40% scrip and 60% cash offer will be made that pays the fair price for the target's shares plus 75% of the total synergy value. The cash will be paid out of the firm's cash holdings, no new debt or equity will be raised.
| Firms Involved in the Takeover | ||
| Acquirer | Target | |
| Assets ($m) | 6,000 | 700 |
| Debt ($m) | 4,800 | 400 |
| Share price ($) | 40 | 20 |
| Number of shares (m) | 30 | 15 |
Ignore transaction costs and fees. Assume that the firms' debt and equity are fairly priced, and that each firms' debts' risk, yield and values remain constant. The acquisition is planned to occur immediately, so ignore the time value of money.
Calculate the merged firm's share price and total number of shares after the takeover has been completed.
The following cash flows are expected:
- Constant perpetual yearly payments of $70, with the first payment in 2.5 years from now (first payment at t=2.5).
- A single payment of $600 in 3 years and 9 months (t=3.75) from now.
What is the NPV of the cash flows if the discount rate is 10% given as an effective annual rate?
A man just sold a call option to his counterparty, a lady. The man has just now:
The 'time value of money' is most closely related to which of the following concepts?
Alice, Bob, Chris and Delta are traders in the futures market. The following trades occur over a single day in a newly-opened equity index future that matures in one year which the exchange just made available.
1. Alice buys a future from Bob.
2. Chris buys a future from Delta.
3. Alice buys a future from Chris.
These were the only trades made in this equity index future. What was the trading volume and what is the open interest?
Question 743 price gains and returns over time, no explanation
How many years will it take for an asset's price to triple (increase from say $1 to $3) if it grows by 5% pa?
Question 784 boot strapping zero coupon yield, forward interest rate, term structure of interest rates
Information about three risk free Government bonds is given in the table below.
| Federal Treasury Bond Data | ||||
| Maturity | Yield to maturity | Coupon rate | Face value | Price |
| (years) | (pa, compounding annually) | (pa, paid annually) | ($) | ($) |
| 1 | 0% | 2% | 100 | 102 |
| 2 | 1% | 2% | 100 | 101.9703951 |
| 3 | 2% | 2% | 100 | 100 |
Based on the above government bonds' yields to maturity, which of the below statements about the spot zero rates and forward zero rates is NOT correct?
Question 859 money supply, no explanation
The below table shows Australian monetary aggregates. Note that ‘M3’ is the sum of all the figures in the table and ‘ADI’ stands for Authorised Deposit-taking Institution such as a bank, building society or credit union.
| Australian Monetary Aggregates | ||||||
| March 2017, AUD billions | ||||||
| Currency | Current deposits with banks |
Certificates of deposit issued by banks |
Term deposits with banks |
Other deposits with banks |
Deposits with non-bank ADIs |
M3 |
| 69.3 | 271.6 | 207.2 | 562.3 | 838.7 | 36.9 | 1986.0 |
Source: RBA Statistical Table D3 Monetary Aggregates.
Which of the following statements is NOT correct?