PRMIA Exam I: Finance Theory, Financial Instruments, Financial Markets – 2015 Edition Exam Practice Test

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Total 287 questions
Question 1

A 'short squeeze' refers to a situation where



Answer : A

A short squeeze results when short sellers are trying to cover their short positions by buying in the spot markets, which do not have adequate supply. This results in sharp spikes in spot prices, which further forces any other shorts to try cut their losses. The result is a sharp rise in spot prices.

Choice 'a' is the correct answer, the other choices do not describe a short squeeze.


Question 2

Using covered interest parity, calculate the 3 month CAD/USD forward rate if the spot CAD/USD rate is 1.1239 and the three month interest rates on CAD and USD are 0.75% and 0.4% annually respectively.



Answer : A

Forward rates can be calculated from spot rates and interest rates using the formula Spot x (1+domestic interest rate)/(1+foreign interest rate), where the 'Spot' is expressed as a direct rate (ie as the number of domestic currency units one unit of the foreign currency can buy). In this case the forward rate will be 1.1239 * (1 + 0.75%*90/360) / (1 + 0.4%*90/360) = 1.1249.

It can be confusing to determine which interest rate should be considered 'domestic', and which 'foreign' for this formula. For that, look at the spot rate. Think of the spot rate as being x units of one currency equal to 1 unit of the other currency. In this case, think of the spot rate 1.1239 as 'CAD 1.1239 = USD 1'. The currency that has the '1' in it is the 'foreign' and the other one is 'domestic'.

It is also important to remember how exchange rates are generally quoted. Most exchange rates are quoted in terms of how many foreign currencies does USD 1 buy. Therefore, a rate of 99 for the JPY means that USD 1 is equal to JPY 99. These are called 'direct rates'. However, there are four major world currencies where the rate quote convention is the other way round - these are EUR, GBP, AUD and NZD. For these currencies, the FX quote implies how many US dollars can one unit of these currencies buy. So a quote of '1.1023' for the Euro means EUR 1 is equal to USD 1.1023 and not the other way round.


Question 3

If the CHF/USD spot and 3 month (91 days) forward rates are 1.1763 and 1.1652, what is the annualized forward premium or discount?



Answer : D

Forward premium or discount can be easily calculated as {(Forward rate - Spot rate) / Spot rate x 365/number of days]. In this case, it can be calculated as =((1.1652 - 1.1763) / 1.1763 ) * 365/91 = 3.785%, which is a discount as it is a negative number. It can also be interpreted as a discount as the forward price is lower than the spot price.


Question 4

If the exchange rate for USD/AUD is 0.6831 and the rate for SEK/USD is 8.1329, what is the SEK/AUD cross rate?



Answer : C

Since AUD 1 = USD 0.6831, and USD 1 = SEK 8.1329, AUD 1 = SEK 8.1329*0.6831 = 5.5556.

It is important to remember how exchange rates are generally quoted. Most exchange rates are quoted in terms of how many foreign currencies does USD 1 buy. Therefore, a rate of 99 for the JPY means that USD 1 is equal to JPY 99. However, there are four major world currencies where the rate quote convention is the other way round - these are EUR, GBP, AUD and NZD. For these currencies, the FX quote implies how many US dollars can one unit of these currencies buy. So a quote of '1.1023' for the Euro means EUR 1 is equal to USD 1.1023 and not the other way round.

When calculating cross rates, it is important to pay attention to how the rates are quoted. This particular question is quoted in a very straightforward way because it specifies exactly what the rate means, eg by saying USD/AUD it clarifies that the rate is the number of USDs per AUD. If the question is not clear, remember how exchange rates are quoted - all are against 1 USD, except for EUR, GBP, AUD and NZD where it is the other way round.


Question 5

An asset manager is of the view that interest rates are currently high and can only decline over the coming 5 years. He has a choice of investing in the following four instruments, each of which matures in 5 years. Given his perspective, what would be the most suitable investment for the asset manager? Assume a flat yield curve.



Answer : C

There are two ways to think about this question: First,

because the asset manager thinks that interest rates are going to decline, his profit will be maximized if he buys the bond with the greatest duration. The zero coupon bond has the greatest duration among the alternatives listed. Therefore Choice 'c' is the correct answer.

The second way to look at this question is to consider what is called 'reinvestment risk'. Yields to maturity calculations have an implicit assumption that any cash flows received prior to maturity are investible at the ytm rate. Thus, an yield to maturity calculation for a coupon bearing bond assumes that coupon payments get invested at the same rate as the calculated ytm from the time they are received till the time the bond matures. In an environment where interest rates fall, this assumption will not hold true. Reinvestment risk is the risk that coupons will not be able to earn the ytm that the bond was brought at - and the investor will be at a loss to the extent the money does not earn the ytm rate till the end of the investment. One way to reduce reinvestment risk is to minimize coupon receipts so the money stays invested as part of the bond, and the zero coupon bond helps to do exactly that.


Question 6

Calculate the net payment due on a fixed-for-floating interest rate swap where the fixed rate is 5% and the floating rate is LIBOR + 100 basis points. Assume reset dates are every six months, LIBOR at the beginning of the reset period is 4.5% and at the end of the period is 3.5%. Notional is $1m.



Answer : A

The LIBOR rate to use is the one at the beginning of the period, is 4.5%. The fixed rate payer owes 5%, and the floating rate payer owes 4.5% + 100bps. Thus the fixed rate payer will receive a payment equal to 0.5% for six months on $1m. This works out to $2500.(Recall that a fixed for floating interest rate swap exchanges fixed for floating rate payments, with only the net payment being made by either party.)

The LIBOR rate to use is the one at the beginning of the period, is 4.5%. The fixed rate payer owes 5%, and the floating rate payer owes 4.5% + 100bps. Thus the fixed rate payer will receive a payment equal to 0.5% for six months on $1m. This works out to $2500.

(Recall that a fixed for floating interest rate swap exchanges fixed for floating rate payments, with only the net payment being made by either party.)


Question 7

Determine the price of a 3 year bond paying a 5% coupon. The 1,2 and 3 year spot rates are 5%, 6% and 7% respectively. Assume a face value of $100.



Answer : A

This question requires a calculation of the present value of the future cash flows from the bond. The correct answer is $94.92, calculated as =(5/(1 + 5%)) + (5/(1+ 6%)^2) + (105/(1 + 7%)^3).


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