Fight Finance

Courses  Tags  Random  All  Recent  Scores

Question 57  interest only loan

You just borrowed $400,000 in the form of a 25 year interest-only mortgage with monthly payments of $3,000 per month. The interest rate is 9% pa which is not expected to change.

You actually plan to pay more than the required interest payment. You plan to pay $3,300 in mortgage payments every month, which your mortgage lender allows. These extra payments will reduce the principal and the minimum interest payment required each month.

At the maturity of the mortgage, what will be the principal? That is, after the last (300th) interest payment of $3,300 in 25 years, how much will be owing on the mortgage?

Question 188  CFFA

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

Trademark Corp
Income Statement for
year ending 30th June 2013
Sales 100
Operating expense 5
Depreciation 20
Interest expense 20
Income before tax 30
Tax at 30% 9
Net income 21
Trademark Corp
Balance Sheet
as at 30th June 2013 2012
  $m $m
Current assets 120 80
    Cost 150 140
    Accumul. depr. 60 40
    Carrying amount 90 100
Total assets 210 180
Current liabilities 75 65
Non-current liabilities 75 55
Owners' equity
Retained earnings 10 10
Contributed equity 50 50
Total L and OE 210 180


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

Question 199  NPV, DDM, no explanation

A stock is expected to pay the following dividends:

Cash Flows of a Stock
Time (yrs) 0 1 2 3 4 ...
Dividend ($) 0 6 12 18 20 ...

After year 4, the dividend will grow in perpetuity at 5% pa. The required return of 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 7 years (t = 7), just after the dividend at that time has been paid?

Question 263  DDM, income and capital returns

A company's shares just paid their annual dividend of $2 each.

The stock price is now $40 (just after the dividend payment). The annual dividend is expected to grow by 3% every year forever. The assumptions of the dividend discount model are valid for this company.

What do you expect the effective annual dividend yield to be in 3 years (dividend yield from t=3 to t=4)?

Question 572  bond pricing, zero coupon bond, term structure of interest rates, expectations hypothesis, forward interest rate, yield curve

In the below term structure of interest rates equation, all rates are effective annual yields and the numbers in subscript represent the years that the yields are measured over:

###(1+r_{0-3})^3 = (1+r_{0-1})(1+r_{1-2})(1+r_{2-3}) ###

Which of the following statements is NOT correct?

Question 657  systematic and idiosyncratic risk, CAPM, no explanation

A stock's required total return will decrease when its:

Question 779  mean and median returns, return distribution, arithmetic and geometric averages, continuously compounding rate

Fred owns some BHP shares. He has calculated BHP’s monthly returns for each month in the past 30 years using this formula:

###r_\text{t monthly}=\ln⁡ \left( \dfrac{P_t}{P_{t-1}} \right)###

He then took the arithmetic average and found it to be 0.8% per month using this formula:

###\bar{r}_\text{monthly}= \dfrac{ \displaystyle\sum\limits_{t=1}^T{\left( r_\text{t monthly} \right)} }{T} =0.008=0.8\% \text{ per month}###

He also found the standard deviation of these monthly returns which was 15% per month:

###\sigma_\text{monthly} = \dfrac{ \displaystyle\sum\limits_{t=1}^T{\left( \left( r_\text{t monthly} - \bar{r}_\text{monthly} \right)^2 \right)} }{T} =0.15=15\%\text{ per month}###

Assume that the past historical average return is the true population average of future expected returns and the stock's returns calculated above ##(r_\text{t monthly})## are normally distributed. Which of the below statements about Fred’s BHP shares is NOT correct?

Question 851  labour force, no explanation

Below is a table showing some figures about the Australian labour force.

Australian Labour Force and Employment Data
April 2017 Seasonally Adjusted figures
Employed persons ('000) 12 061.9
Unemployed persons ('000) 751.4
Unemployment rate (%) 5.9
Participation rate (%) 64.8


Source: ABS 6202.0 Labour Force, Australia, Apr 2017

What do you estimate is the size of working age population in thousands (‘000)?

Question 869  economic order quantity

A Queensland farmer grows strawberries in greenhouses and supplies Australian supermarkets all year round. The farmer must decide how often he should contract the truck driver to deliver his strawberries and how many boxes to send on each delivery. The farmer:

  • Sells 100,000 boxes of strawberries per year;
  • Incurs holding costs (refrigeration and spoilage) of $16 per box per year; and
  • Must pay the truck driver delivery fees at $0.20 per box plus a $500 fixed fee per delivery.

Which of the following statements about the Economic Order Quantity is NOT correct?

Question 877  arithmetic and geometric averages, utility, utility function

Gross discrete returns in different states of the world are presented in the table below. A gross discrete return is defined as ##P_1/P_0##, where ##P_0## is the price now and ##P_1## is the expected price in the future. An investor can purchase only a single asset, A, B, C or D. Assume that a portfolio of assets is not possible.

Gross Discrete Returns
In Different States of the World
Investment World states (probability)
asset Good (50%) Bad (50%)
A 2 0.5
B 1.1 0.9
C 1.1 0.95
D 1.01 1.01


Which of the following statements about the different assets is NOT correct? Asset: