Fight Finance

Courses  Tags  Random  All  Recent  Scores

Question 20  NPV, APR, Annuity

Your friend wants to borrow $1,000 and offers to pay you back $100 in 6 months, with more $100 payments at the end of every month for another 11 months. So there will be twelve $100 payments in total. She says that 12 payments of $100 equals $1,200 so she's being generous.

If interest rates are 12% pa, given as an APR compounding monthly, what is the Net Present Value (NPV) of your friend's deal?



Question 280  equivalent annual cash flow

You own a nice suit which you wear once per week on nights out. You bought it one year ago for $600. In your experience, suits used once per week last for 6 years. So you expect yours to last for another 5 years.

Your younger brother said that retro is back in style so he wants to wants to borrow your suit once a week when he goes out. With the increased use, your suit will only last for another 4 years rather than 5.

What is the present value of the cost of letting your brother use your current suit for the next 4 years?

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



Question 422  takeover

Acquirer firm plans to launch a takeover of Target firm. The firms operate in different industries and the CEO's rationale for the merger is to increase diversification and thereby decrease risk. The deal is not expected to create any synergies. An 80% scrip and 20% cash offer will be made that pays the fair price for the target's shares. The cash will be paid out of the firms' 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.



Question 521  NPV, Annuity

The following cash flows are expected:

  • 10 yearly payments of $80, with the first payment in 6.5 years from now (first payment at t=6.5).
  • A single payment of $500 in 4 years and 3 months (t=4.25) from now.

What is the NPV of the cash flows if the discount rate is 10% given as an effective annual rate?



Question 624  franking credit, personal tax on dividends, imputation tax system, no explanation

Which of the following statements about Australian franking credits is NOT correct? Franking credits:



Question 640  option, future, no explanation

Which one of the below option and futures contracts gives the possibility of potentially unlimited gains?



Question 849  credit card, APR, no explanation

You just spent $1,000 on your credit card. The interest rate is 24% pa compounding monthly. Assume that your credit card account has no fees and no minimum monthly repayment.

If you can't make any interest or principal payments on your credit card debt over the next year, how much will you owe one year from now?



Question 860  idiom, hedging, speculation, arbitrage, market making, insider trading, no explanation

Which class of derivatives market trader is NOT principally focused on ‘buying low and selling high’?



Question 896  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?



Question 940  CAPM, DDM

A stock has a beta of 1.2. Its next dividend is expected to be $20, paid one year from now.

Dividends are expected to be paid annually and grow by 1.5% pa forever.

Treasury bonds yield 3% pa and the market portfolio's expected return is 7% pa. All returns are effective annual rates.

What is the price of the stock now?