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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 74  WACC, capital structure, CAPM

A firm's weighted average cost of capital before tax (##r_\text{WACC before tax}##) would increase due to:



Question 110  CAPM, SML, NPV

The security market line (SML) shows the relationship between beta and expected return.

Buying investment projects that plot above the SML would lead to:



Question 174  profitability index

A project has the following cash flows:

Project Cash Flows
Time (yrs) Cash flow ($)
0 -400
1 200
2 250
 

What is the Profitability Index (PI) of the project? Assume that the cash flows shown in the table are paid all at once at the given point in time. The required return is 10% pa, given as an effective annual rate.



Question 510  bond pricing

Calculate the price of a newly issued ten year bond with a face value of $100, a yield of 8% pa and a fixed coupon rate of 6% pa, paid semi-annually. So there are two coupons per year, paid in arrears every six months.



Question 542  price gains and returns over time, IRR, NPV, income and capital returns, effective return

For an asset price to double every 10 years, what must be the expected future capital return, given as an effective annual rate?



Question 850  gross domestic product, gross domestic product per capita

Below is a table showing some countries’ GDP, population and GDP per capita.

Countries' GDP and Population
  GDP Population GDP per capita
  USD million millions of people USD
United States 18,036,648 325 55,492
China 11,158,457 1,383 8,066
Japan 4,383,076 127 34,586
Germany 3,363,600 83 40,623
Norway 500,519 5 95,027
 

 

Source: "GDP and its breakdown at current prices in US Dollars" United Nations Statistics Division. December 2016.

Using this data only, which one of these countries’ citizens have the highest living standards?



Question 908  effective rate, return types, gross discrete return, return distribution, price gains and returns over time

For an asset's price to double from say $1 to $2 in one year, what must its gross discrete return (GDR) be? If the price now is ##P_0## and the price in one year is ##P_1## then the gross discrete return over the next year is:

###\text{GDR}_\text{annual} = \dfrac{P_1}{P_0}###



Question 955  option, out of the money option

If a put option is out-of-the-money, then the spot price (##S_0##) is than, than or to the put option's strike price (##K_T##)?


Question 990  Multiples valuation, EV to EBITDA ratio, enterprise value

A firm has:

2 million shares;

$200 million EBITDA expected over the next year;

$100 million in cash (not included in EV);

1/3 market debt-to-assets ratio is (market assets = EV + cash);

4% pa expected dividend yield over the next year, paid annually with the next dividend expected in one year;

2% pa expected dividend growth rate;

40% expected payout ratio over the next year;

10 times EV/EBITDA ratio.

30% corporate tax rate.

The stock can be valued using the EV/EBITDA multiple, dividend discount model, Gordon growth model or PE multiple. Which of the below statements is NOT correct based on an EV/EBITDA multiple valuation?