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Question 34  implicit interest rate in wholesale credit

A wholesale glass importer 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 rates given below are effective annual rates.



Question 177  implicit interest rate in wholesale credit

A furniture distributor offers credit to its customers. Customers are given 25 days to pay for their goods, but if they pay immediately 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 either immediately or on the 25th day. All rates given below are effective annual rates.



Question 225  CFFA

A firm has forecast its Cash Flow From Assets (CFFA) for this year and management is worried that it is too low. Which one of the following actions will lead to a higher CFFA for this year (t=0 to 1)? Only consider cash flows this year. Do not consider cash flows after one year, or the change in the NPV of the firm. Consider each action in isolation.



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 280  equivalent annual cash flow

You own a nice suit which you wear once per week on nights out. You bought it one year ago for $600. In your experience, suits used once per week last for 6 years. So you expect yours to last for another 5 years.

Your younger brother said that retro is back in style so he wants to wants to borrow your suit once a week when he goes out. With the increased use, your suit will only last for another 4 years rather than 5.

What is the present value of the cost of letting your brother use your current suit for the next 4 years?

Assume: that bank interest rates are 10% pa, given as an effective annual rate; you will buy a new suit when your current one wears out and your brother will not use the new one; your brother will only use your current suit so he will only use it for the next four years; and the price of a new suit never changes.



Question 630  mispriced asset, NPV, DDM, market efficiency

A company advertises an investment costing $1,000 which they say is underpriced. They say that it has an expected total return of 15% pa, but a required return of only 10% pa. Of the 15% pa total expected return, the dividend yield is expected to always be 7% pa and rest is the capital yield.

Assuming that the company's statements are correct, what is the NPV of buying the investment if the 15% total return lasts for the next 100 years (t=0 to 100), then reverts to 10% after that time? Also, what is the NPV of the investment if the 15% return lasts forever?

In both cases, assume that the required return of 10% remains constant, the dividends can only be re-invested at 10% pa and all returns are given as effective annual rates.

The answer choices below are given in the same order (15% for 100 years, and 15% forever):



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 827  future, basis risk, no explanation

You intend to use futures on oil to hedge the risk of purchasing oil. There is no cross-hedging risk. Oil pays no dividends but it’s costly to store. Which of the following statements about basis risk in this scenario is NOT correct?



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 890  foreign exchange rate, monetary policy, no explanation

The market expects the Reserve Bank of Australia (RBA) to increase the policy rate by 25 basis points at their next meeting. The current exchange rate is 0.8 USD per AUD.

Then unexpectedly, the RBA announce that they will increase the policy rate by 50 basis points due to increased fears of inflation.

What do you expect to happen to Australia's exchange rate on the day when the surprise announcement is made? The Australian dollar is likely to suddenly: