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Question 40  DDM, perpetuity with growth

A stock is expected to pay the following dividends:

Cash Flows of a Stock
Time (yrs) 0 1 2 3 4 ...
Dividend ($) 0.00 1.00 1.05 1.10 1.15 ...
 

After year 4, the annual dividend will grow in perpetuity at 5% pa, so;

  • the dividend at t=5 will be $1.15(1+0.05),
  • the dividend at t=6 will be $1.15(1+0.05)^2, and so on.

The required return on the stock is 10% pa. Both the growth rate and required return are given as effective annual rates.

What will be the price of the stock in three and a half years (t = 3.5)?



Question 154  implicit interest rate in wholesale credit, no explanation

A wholesale vitamin supplements store offers credit to its customers. Customers are given 30 days to pay for their goods, but if they pay within 5 days they will get a 1% discount.

What is the effective interest rate implicit in the discount being offered? Assume 365 days in a year and that all customers pay on either the 5th day or the 30th day. All of the below answer choices are given as effective annual interest rates.



Question 237  WACC, Miller and Modigliani, interest tax shield

Which of the following discount rates should be the highest for a levered company? Ignore the costs of financial distress.



Question 351  CFFA

Over the next year, the management of an unlevered company plans to:

  • Achieve firm free cash flow (FFCF or CFFA) of $1m.
  • Pay dividends of $1.8m
  • Complete a $1.3m share buy-back.
  • Spend $0.8m on new buildings without buying or selling any other fixed assets. This capital expenditure is included in the CFFA figure quoted above.

Assume that:

  • All amounts are received and paid at the end of the year so you can ignore the time value of money.
  • The firm has sufficient retained profits to pay the dividend and complete the buy back.
  • The firm plans to run a very tight ship, with no excess cash above operating requirements currently or over the next year.

How much new equity financing will the company need? In other words, what is the value of new shares that will need to be issued?



Question 410  CAPM, capital budgeting

The CAPM can be used to find a business's expected opportunity cost of capital:

###r_i=r_f+β_i (r_m-r_f)###

What should be used as the risk free rate ##r_f##?



Question 485  capital budgeting, opportunity cost, sunk cost

A young lady is trying to decide if she should attend university or not.

The young lady's parents say that she must attend university because otherwise all of her hard work studying and attending school during her childhood was a waste.

What's the correct way to classify this item from a capital budgeting perspective when trying to decide whether to attend university?

The hard work studying at school in her childhood should be classified as:



Question 685  future, arbitrage, no explanation

An equity index stands at 100 points and the one year equity futures price is 107.

The equity index is expected to have a dividend yield of 3% pa. Assume that investors are risk-neutral so their total required return on the shares is the same as the risk free Treasury bond yield which is 10% pa. Both are given as discrete effective annual rates.

Assuming that the equity index is fairly priced, an arbitrageur would recognise that the equity futures are:



Question 774  leverage, WACC, real estate

One year ago you bought a $1,000,000 house partly funded using a mortgage loan. The loan size was $800,000 and the other $200,000 was your wealth or 'equity' in the house asset.

The interest rate on the home loan was 4% pa.

Over the year, the house produced a net rental yield of 2% pa and a capital gain of 2.5% pa.

Assuming that all cash flows (interest payments and net rental payments) were paid and received at the end of the year, and all rates are given as effective annual rates, what was the total return on your wealth over the past year?

Hint: Remember that wealth in this context is your equity (E) in the house asset (V = D+E) which is funded by the loan (D) and your deposit or equity (E).


Question 819  option, derivative terminology, no explanation

Which of the following terms about options are NOT synonyms?



Question 826  future, basis risk, hedging

On 1 February 2016 you were told that your refinery company will need to purchase oil on 1 July 2016. You were afraid of the oil price rising between now and then so you bought some August 2016 futures contracts on 1 February 2016 to hedge against changes in the oil price. On 1 February 2016 the oil price was $40 and the August 2016 futures price was $43.

It's now 1 July 2016 and oil price is $45 and the August 2016 futures price is $46. You bought the spot oil and closed out your futures position on 1 July 2016.

What was the effective price paid for the oil, taking into account basis risk? All spot and futures oil prices quoted above and below are per barrel.