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Question 27  bill pricing, simple interest rate

A 180-day Bank Accepted Bill has a face value of $1,000,000. The interest rate is 8% pa and there are 365 days in the year. What is its price now?



Question 106  CAPM

A fairly priced stock has an expected return of 15% pa. Treasury bonds yield 5% pa and the market portfolio's expected return is 10% pa. What is the beta of the stock?



Question 123  option

Below are 4 option graphs. Note that the y-axis is payoff at maturity (T). What options do they depict? List them in the order that they are numbered

Image of option graphs



Question 134  fully amortising loan, APR

You want to buy an apartment worth $400,000. You have saved a deposit of $80,000. The bank has agreed to lend you the $320,000 as a fully amortising mortgage loan with a term of 30 years. The interest rate is 6% pa and is not expected to change. What will be your monthly payments?



Question 245  foreign exchange rate, monetary policy, foreign exchange rate direct quote, no explanation

Investors expect Australia's central bank, the RBA, to leave the policy rate unchanged at their next meeting.

Then unexpectedly, the policy rate is reduced due to fears that Australia's GDP growth is slowing.

What do you expect to happen to Australia's exchange rate? Direct and indirect quotes are given from the perspective of an Australian.

The Australian dollar will:



Question 281  equivalent annual cash flow

You just bought a nice dress which you plan to wear once per month on nights out. You bought it a moment ago for $600 (at t=0). In your experience, dresses used once per month last for 6 years.

Your younger sister is a student with no money and wants to borrow your dress once a month when she hits the town. With the increased use, your dress will only last for another 3 years rather than 6.

What is the present value of the cost of letting your sister use your current dress for the next 3 years?

Assume: that bank interest rates are 10% pa, given as an effective annual rate; you will buy a new dress when your current one wears out; your sister will only use the current dress, not the next one that you will buy; and the price of a new dress never changes.



Question 424  takeover

Acquirer firm plans to launch a takeover of Target firm. The deal is expected to create a present value of synergies totaling $2 million. A cash offer will be made that pays the fair price for the target's shares plus 70% 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 ($m) 60 10
Debt ($m) 20 2
Share price ($) 10 8
Number of shares (m) 4 1
 

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.



Question 549

An Apple iPhone 6 smart phone can be bought now for $999. An Android Samsung Galaxy 5 smart phone can be bought now for $599.

If the Samsung phone lasts for four years, approximately how long must the Apple phone last for to have the same equivalent annual cost?

Assume that both phones have equivalent features besides their lifetimes, that both are worthless once they've outlasted their life, the discount rate is 10% pa given as an effective annual rate, and there are no extra costs or benefits from either phone.



Question 667  forward foreign exchange rate, foreign exchange rate, cross currency interest rate parity, no explanation

The Australian cash rate is expected to be 2% pa over the next one year, while the US cash rate is expected to be 0% pa, both given as nominal effective annual rates. The current exchange rate is 0.73 USD per AUD.

What is the implied 1 year USD per AUD forward foreign exchange rate?



Question 783  open interest, trade volume, future

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 2 futures from Bob.

2. Chris buys 3 futures from Delta.

3. Delta buys 5 futures from Alice.

Which of the following statements is NOT correct?