CFA Institute CFA-Level-II Exam Questions

Erich Reichmann, CFA, is a fixed-income portfolio manager with Global Investment Management. A recent increase in interest rate volatility has caused Reichmann and his assistant, Mel O'Shea, to begin investigating methods of hedging interest rate risk in his fixed income portfolio.

Reichmann would like to hedge the interest rate risk of one of his bonds, a floating-rate bond (indexed to LIBOR). O'Shea recommends taking a short position in a Eurodollar futures contract because the Eurodollar contract is a more effective hedging instrument than a Treasury bill futures contract.

Reichmann is also analyzing the possibility of using interest rate caps and floors, as well as interest rate options and options on fixed income securities, to hedge the interest rate risk of his overall portfolio.

Reichmann uses a binomial interest rate model to value 1-year and 2-year 6% floors on 1-year LIBOR, both based on $30 million principal value with annual payments. He values the 1-year floor at $90,000 and the 2-year floor at $285,000.

Reichmann has also heard about using interest rate collars to hedge interest rate risk, but is unsure how to construct a collar.

Finally, Reichmann is interested in using swaptions to hedge certain investments. He evaluates the following comments about swaptions.

* If a firm anticipates floating rate exposure from issuing floating rate bonds at some future date, a payer swaption would lock in a fixed rate and provide floating-rate payments for the loan. It would be exercised if the yield curve shifted down.

* Swaptions can be used to speculate on changes in interest rates. The investor would buy a receiver swaption if he expects rates to fall.

Based on the results from Reichmann's binomial interest rate model, the value of a 2-year, $30 million European put option on LIBOR with a floor strike of 6% is closest to:

Michelle Norris, CFA, manages assets for individual investors in the United States as well as in other countries. Norris limits the scope of her practice to equity securities traded on U .S . stock exchanges. Her partner, John Witkowski, handles any requests for international securities. Recently, one of Norris's wealthiest clients suffered a substantial decline in the value of his international portfolio. Worried that his U .S . allocation might suffer the same fate, he has asked Norris to implement a hedge on his portfolio. Norris has agreed to her client's request and is currently in the process of evaluating several futures contracts. Her primary interest is in a futures contract on a broad equity index that will expire 240 days from today. The closing price as of yesterday, January 17, for the equity index was 1,050. The expected dividends from the index yield 2% (continuously compounded annual rate). The effective annual risk-free rate is 4.0811%, and the term structure is flat. Norris decides that this equity index futures contract is the appropriate hedge for her client's portfolio and enters into the contract.

Upon entering into the contract, Norris makes the following comment to her client:

"You should note that since we have taken a short position in the futures contract, the price we will receive for selling the equity index in 240 days will be reduced by the convenience yield associated with having a long position in the underlying asset. If there were no cash flows associated with the underlying asset, the price would be higher. Additionally, you should note that if we had entered into a forward contract with the same terms, the contract price would most likely have been lower but we would have increased the credit risk exposure of the portfolio."

Sixty days after entering into the futures contract, the equity index reached a level of 1,015. The futures contract that Norris purchased is now trading on the Chicago Mercantile Exchange for a price of 1,035. Interest rates have not changed. After performing some calculations, Norris calls her client to let him know of an arbitrage opportunity related to his futures position. Over the phone, Norris makes the following comments to her client:

"We have an excellent opportunity to earn a riskless profit by engaging in arbitrage using the equity index, risk-free assets, and futures contracts. My recommended strategy is as follows: We should sell the equity index short, buy the futures contract, and pay any dividends occurring over the life of the contract. By pursuing this strategy, we can generate profits for your portfolio without incurring any risk."

Evaluate Norris's comments regarding the convenience yield on the equity index futures contract and the differences between a forward and a futures contract with the same terms.

Paul Durham, CFA, is a senior manager in the structured bond department within Newton Capital Partners (NCP), an investment banking firm located in the United States. Durham has just returned from an international marketing campaign for NCP's latest structured note offering, a series of equity linked fixed-income securities or ELFS. The bonds will offer a 4.5% coupon paid annually along with the annual return on the S&P 500 Index and will have a maturity of five years. The total face value of the ELFS series is expected to be $200 million.

Susan Jacobs, a fixed-income portfolio manager and principal with Smith & Associates, has decided to include $10 million worth of ELFS in her fixed-income portfolio. At the end of the first year, however, the S&P 500 Index value is 1,054, significantly lower than the initial value of 1,112 set by NCP at the time of the ELFS offering. Jacobs is concerned that the four remaining years of the ELFS life could have similar results and is considering her alternatives to offset the equity exposure of the ELFS position without selling the bonds, Jacobs decides to offset her portfolio's exposure to the ELFS by entering into an equity swap contract. The LIBOR term structure is shown below in Exhibit 1.

After hearing of her plan, one of the other partners with Smith & Associates, Jonathan Widby, feels it is necessary to meet with Jacobs regarding her proposed strategy. Mr. Widby makes the following comments during the meeting:

"You should also know that I am quite bullish on the stock market for the near future. Therefore, as an alternative strategy, I recommend that you establish a long position in a 1 x 3 payer swaption. This strategy would allow you to wait and see how the market performs next year but will give you the ability to enter into a 2-year swap with terms that can be established today should the market have another down year.

If, however, you choose to proceed with your strategy, know that credit risk for an equity swap is greatest toward the end of the swap's life. Thus, analysts tracking your portfolio will not be happy with the added credit risk (hat your portfolio will be exposed to as the swap nears the end of its tenor. You should think about what credit derivatives you can use to manage this risk when the time comes."

To offset any credit risk associated with the equity swap, Widby recommends using an index trade strategy by entering into a credit default swap (CDS) as a protection buyer. Widby's strategy would involve purchasing credit protection on an index comprising largely the same issuers (companies) included in the equity index underlying the swap. Widby suggests the CDS should have a maturity equal to that of the swap to provide maximum credit protection.

Evaluate, in light of the appropriate equity swap strategy for Jacobs's portfolio, Mr. Widby's comments regarding the credit risk and use of swaptions in Jacobs's portfolio.

James Walker is the Chief Financial Officer for Lothar Corporation, a U .S . mining company that specializes in worldwide exploration for and excavation of precious metals. Lothar Corporation generally tries to maintain a debt-to-capital ratio of approximately 45% and has successfully done so for the past seven years. Due to the time lag between the discovery of an extractable vein of metal and the eventual sale of the excavated material, the company frequently must issue short-term debt to fund its operations. Issuing these one to six month notes sometimes pushes Lothar's debt to capital ratio above their long-term target, but the cash provided from the short-term financing is necessary to complete the majority of the company's mining projects.

Walker has estimated that extraction of silver deposits in southern Australia has eight months until project completion. However, funding for the project will run out in approximately six months. In order to cover the funding gap. Walker will have to issue short-term notes with a principal value of $1,275,000 at an unknown future interest rate. To mitigate the interest rate uncertainty, Walker has decided to enter into a forward rate agreement (FRA) based on LIBOR which currently has a term structure as shown in Exhibit 1.

Three months after establishing the position in the forward rate agreement, LIBOR interest rates have shifted causing the value of Lothar's FRA . position to change as well. The new LIBOR term structure is shown in Exhibit 2.

While Walker is estimating the change in the value of the original FRA position, he receives a memo from the Chief Operating Officer of Lochar Corporation, Maria Steiner, informing him of a major delay in one of the company's South African mining projects. In the memo, Stciner states the following: "As usual, the project delay will require a short-term loan to cover funding shortage that will accompany the extra time until project completion. I have estimated that in 210 days, we will require a 90-day project loan in the amount of $2,350,000.1 would like you to establish another FRA position, this time with a contract rate of 6.95%."

Which of the following is least likely a reason Walker has chosen to use forward contracts instead of futures contracts?

Michelle Norris, CFA, manages assets for individual investors in the United States as well as in other countries. Norris limits the scope of her practice to equity securities traded on U .S . stock exchanges. Her partner, John Witkowski, handles any requests for international securities. Recently, one of Norris's wealthiest clients suffered a substantial decline in the value of his international portfolio. Worried that his U .S . allocation might suffer the same fate, he has asked Norris to implement a hedge on his portfolio. Norris has agreed to her client's request and is currently in the process of evaluating several futures contracts. Her primary interest is in a futures contract on a broad equity index that will expire 240 days from today. The closing price as of yesterday, January 17, for the equity index was 1,050. The expected dividends from the index yield 2% (continuously compounded annual rate). The effective annual risk-free rate is 4.0811%, and the term structure is flat. Norris decides that this equity index futures contract is the appropriate hedge for her client's portfolio and enters into the contract.

Upon entering into the contract, Norris makes the following comment to her client:

"You should note that since we have taken a short position in the futures contract, the price we will receive for selling the equity index in 240 days will be reduced by the convenience yield associated with having a long position in the underlying asset. If there were no cash flows associated with the underlying asset, the price would be higher. Additionally, you should note that if we had entered into a forward contract with the same terms, the contract price would most likely have been lower but we would have increased the credit risk exposure of the portfolio."

Sixty days after entering into the futures contract, the equity index reached a level of 1,015. The futures contract that Norris purchased is now trading on the Chicago Mercantile Exchange for a price of 1,035. Interest rates have not changed. After performing some calculations, Norris calls her client to let him know of an arbitrage opportunity related to his futures position. Over the phone, Norris makes the following comments to her client:

"We have an excellent opportunity to earn a riskless profit by engaging in arbitrage using the equity index, risk-free assets, and futures contracts. My recommended strategy is as follows: We should sell the equity index short, buy the futures contract, and pay any dividends occurring over the life of the contract. By pursuing this strategy, we can generate profits for your portfolio without incurring any risk."

Evaluate Norris's comments regarding the convenience yield on the equity index futures contract and the differences between a forward and a futures contract with the same terms.