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Question 16  credit card, APR, effective rate

A credit card offers an interest rate of 18% pa, compounding monthly.

Find the effective monthly rate, effective annual rate and the effective daily rate. Assume that there are 365 days in a year.

All answers are given in the same order:

### r_\text{eff monthly} , r_\text{eff yearly} , r_\text{eff daily} ###



Question 78  WACC, capital structure

A company issues a large amount of bonds to raise money for new projects of similar risk to the company's existing projects. The net present value (NPV) of the new projects is positive but small. Assume a classical tax system. Which statement is NOT correct?



Question 80  CAPM, risk, diversification

Diversification is achieved by investing in a large amount of stocks. What type of risk is reduced by diversification?



Question 83  portfolio risk, standard deviation

Portfolio Details
Stock Expected
return
Standard
deviation
Correlation ##(\rho_{A,B})## Dollars
invested
A 0.1 0.4 0.5 60
B 0.2 0.6 140
 

What is the standard deviation (not variance) of returns of the above portfolio?



Question 205  depreciation tax shield, CFFA

There are a number of ways that assets can be depreciated. Generally the government's tax office stipulates a certain method.

But if it didn't, what would be the ideal way to depreciate an asset from the perspective of a businesses owner?



Question 540  APR, effective rate, no explanation

Which one of the below statements about effective rates and annualised percentage rates (APR's) is NOT correct?



Question 580  price gains and returns over time, time calculation, effective rate

How many years will it take for an asset's price to quadruple (be four times as big, say from $1 to $4) if the price grows by 15% pa?



Question 675  option, option profit, no explanation

Which of the below formulas gives the profit ##(\pi)## from being long 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 755  bond pricing, capital raising

A firm wishes to raise $50 million now. They will issue 7% pa semi-annual coupon bonds that will mature in 6 years and have a face value of $100 each. Bond yields are 5% pa, given as an APR compounding every 6 months, and the yield curve is flat.

How many bonds should the firm issue?



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?