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Question 117  WACC

A firm can issue 5 year annual coupon bonds at a yield of 8% pa and a coupon rate of 12% pa.

The beta of its levered equity is 1. Five year government bonds yield 5% pa with a coupon rate of 6% pa. The market's expected dividend return is 4% pa and its expected capital return is 6% pa.

The firm's debt-to-equity ratio is 2:1. The corporate tax rate is 30%.

What is the firm's after-tax WACC? Assume a classical tax system.



Question 255  bond pricing

In these tough economic times, central banks around the world have cut interest rates so low that they are practically zero. In some countries, government bond yields are also very close to zero.

A three year government bond with a face value of $100 and a coupon rate of 2% pa paid semi-annually was just issued at a yield of 0%. What is the price of the bond?



Question 360  CFFA

Find Ching-A-Lings Corporation's Cash Flow From Assets (CFFA), also known as Free Cash Flow to the Firm (FCFF), over the year ending 30th June 2013.

Ching-A-Lings Corp
Income Statement for
year ending 30th June 2013
  $m
Sales 100
COGS 20
Depreciation 20
Rent expense 11
Interest expense 19
Taxable Income 30
Taxes at 30% 9
Net income 21
 
Ching-A-Lings Corp
Balance Sheet
as at 30th June 2013 2012
  $m $m
Inventory 49 38
Trade debtors 14 2
Rent paid in advance 5 5
PPE 400 400
Total assets 468 445
 
Trade creditors 4 10
Bond liabilities 200 190
Contributed equity 145 145
Retained profits 119 100
Total L and OE 468 445
 

 

Note: All figures are given in millions of dollars ($m).

The cash flow from assets was:



Question 405  DDM, income and capital returns, no explanation

The perpetuity with growth formula is:

###P_0= \dfrac{C_1}{r-g}###

Which of the following is NOT equal to the total required return (r)?



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 629  yield curve, forward interest rate

Which of the following statements about yield curves is NOT correct?



Question 676  option, option profit, no explanation

Which of the below formulas gives the profit ##(\pi)## from being short a call option? Let the underlying asset price at maturity be ##S_T##, the exercise price be ##X_T## and the option price be ##f_{LC,0}##. Note that ##S_T##, ##X_T## and ##f_{LC,0}## are all positive numbers.



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 887  foreign exchange rate, no explanation

Examine the graph of the AUD versus the USD, EUR and JPY. Note that RHS means right hand side and LHS left hand side which indicates which axis each line corresponds to. Assume inflation rates in each country were equal over the time period 1984 to 2018.

Image of USD vs JPY and EUR graph

Which of the following statements is NOT correct?



Question 948  VaR, expected shortfall

Below is a historical sample of returns on the S&P500 capital index.

S&P500 Capital Index Daily Returns
Ranked from Best to Worst
10,000 trading days from 4th August 1977 to
24 March 2017 based on closing prices.
Rank Date
(DD-MM-YY)
Continuously compounded
daily return (% per day)
1 21-10-87 9.23
2 08-03-83 8.97
3 13-11-08 8.3
4 30-09-08 8.09
5 28-10-08 8.01
6 29-10-87 7.28
9980 11-12-08 -5.51
9981 22-10-08 -5.51
9982 08-08-11 -5.54
9983 22-09-08 -5.64
9984 11-09-86 -5.69
9985 30-11-87 -5.88
9986 14-04-00 -5.99
9987 07-10-98 -6.06
9988 08-01-88 -6.51
9989 27-10-97 -6.55
9990 13-10-89 -6.62
9991 15-10-08 -6.71
9992 29-09-08 -6.85
9993 07-10-08 -6.91
9994 14-11-08 -7.64
9995 01-12-08 -7.79
9996 29-10-08 -8.05
9997 26-10-87 -8.4
9998 31-08-98 -8.45
9999 09-10-08 -12.9
10000 19-10-87 -23.36
 
Mean of all 10,000: 0.0354
Sample standard deviation of all 10,000: 1.2062
Sources: Bloomberg and S&P.
 

 

Assume that the one-tail Z-statistic corresponding to a probability of 99.9% is exactly 3.09. Which of the following statements is NOT correct? Based on the historical data, the 99.9% daily: