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Question 46  NPV, annuity due

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 58  NPV, inflation, real and nominal returns and cash flows, Annuity

A project to build a toll bridge will take two years to complete, costing three payments of $100 million at the start of each year for the next three years, that is at t=0, 1 and 2.

After completion, the toll bridge will yield a constant $50 million at the end of each year for the next 10 years. So the first payment will be at t=3 and the last at t=12. After the last payment at t=12, the bridge will be given to the government.

The required return of the project is 21% pa given as an effective annual nominal rate.

All cash flows are real and the expected inflation rate is 10% pa given as an effective annual rate. Ignore taxes.

The Net Present Value is:



Question 183  bond pricing

A five year bond has a face value of $100, a yield of 12% and a fixed coupon rate of 6%, paid semi-annually.

What is the bond's price?



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 246  foreign exchange rate, forward foreign exchange rate, cross currency interest rate parity

Suppose the Australian cash rate is expected to be 8.15% pa and the US federal funds rate is expected to be 3.00% pa over the next 2 years, both given as nominal effective annual rates. The current exchange rate is at parity, so 1 USD = 1 AUD.

What is the implied 2 year forward foreign exchange rate?



Question 277  derivative terminology, future

The 'initial margin', also known as the performance bond in a futures contract, is paid at the start when the futures contract is agreed to. or ?


Question 570  foreign exchange rate

An American wishes to convert USD 1 million to Australian dollars (AUD). The exchange rate is 0.8 USD per AUD. How much is the USD 1 million worth in AUD?



Question 671  future, forward, hedging

It's possible for both parties in a futures or forward contract to be hedging, so neither are speculating. or ?


Question 747  DDM, no explanation

A share will pay its next dividend of ##C_1## in one year, and will continue to pay a dividend every year after that forever, growing at a rate of ##g##. So the next dividend will be ##C_2=C_1 (1+g)^1##, then ##C_3=C_2 (1+g)^1##, and so on forever.

The current price of the share is ##P_0## and its required return is ##r##

Which of the following is NOT equal to the expected share price in 2 years ##(P_2)## just after the dividend at that time ##(C_2)## has been paid?



Question 974  foreign exchange rate, monetary policy, no explanation

Suppose the market expects the Bank of Japan (BoJ) to increase their short term interest rate by 15 basis points at their next meeting. The current short term interest rate is -0.1% pa and the exchange rate is 100 JPY per USD.

As expected, the BoJ announce that they will increase short term interest rate by 15 basis points.

What do you expect to happen to Japan’s exchange rate on the day when the announcement is made? The Japanese Yen (JPY) is likely to: