University | Singapore University of Social Science (SUSS) |
Subject | Fixed Income and Derivative Securities Assignment |
Question 1
In each of the questions below the first option is priced correctly. Indicate how the second option should be priced in relation to the first call.
Question 1a
The LMN call is consistently priced in relation to the GHK call.
Appraise whether the statement regarding the pricing of the LMN call is true, false, or cannot be decided, and give reasons for your choice.
The OPQ put is consistently priced in relation to the OPQ call.
Appraise whether the statement regarding the pricing of the OPQ put is true, false, or cannot be decided, and give reasons for your choice.
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Question 2
“The Federal Reserve will likely need to raise interest rates more than expected in response to recent strong data and is prepared to move in larger steps if the “totality” of incoming information suggests tougher measures are needed to control inflation, Fed Chair Jerome Powell told U.S. lawmakers on Tuesday.” (Reuters, 7 March 2023) “President Biden proposed a $6.9 trillion budget that calls for reducing deficits and raising taxes on wealthy people and large corporations, detailing a policy vision that isn’t expected to gain momentum in Congress, but is an opening salvo in spending talks with Republicans.” (Wall Street Journal, 10 March 2023)
Two bond portfolio managers, Tom and Jerry, were discussing the reports.
Tom: If the Fed were to raise interest rates, this will curtail corporate and individual spending as borrowing costs increase. As a result, the economy will slow down and the Fed may have to cut interest rates to prevent a hard landing. Further, given the Republican control of the House of Representatives, it is unlikely that Biden’s proposal to increase tax rates will be accepted. My view is that interest rates are likely to fall by 150 basis points in the next 1 year.
Jerry: Biden’s plan to reduce deficits is just a dream. In fact, the government deficit will increase. I agree with you that an increase in tax rates is very unlikely. So, to fund all the proposed spending, the government will have to come to the market to borrow more, causing a rise in interest rates. My view is that interest rates are likely to rise by 150 basis points in the next 1 year.
The two portfolio managers have been presented with a list of bonds, which all have the same credit rating, time to maturity and par value of $1,000, to invest:
The details of the bonds are as follows:
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Question 2a
Based on his view expressed above, if Tom wants to maximize the total return of his portfolio, appraise which bond, if any, he should buy. (Word limit: 150 words)
Question 2b
Based on his view expressed above, if Jerry wants to increase the total return of his portfolio, appraise which bond, if any, he should buy. (Word limit: 150 words)
Question 3a
Based on the binomial tree below which is based on a 7% coupon bond with 10% interest rate volatility, illustrate the steps you would use to derive the value of the bond at time 0, and compute the value.
Question 3b
Suppose the bond is callable at a call price of 100.5 from year 1. Compute the value of the callable bond at time 0.
(4 marks)
Question 3c
Compute the value of the callable bond’s embedded call option. Appraise how the value of the option would change if interest rate volatility increases (no computation required).
(6 marks)
Question 4
You are the risk manager of a bond fund. The top management of the fund is concerned about the risks facing the fund. Present to the management any 2 concepts, or formulas, or measures that you learned in this course that could help in hedging the risks.
(16 marks)
Section B (25 marks)
Answer all questions in this section.
Question 5
Based on Question 4, prepare a video recording of the presentation of at least 3 minutes but not exceeding 6 minutes. There are two methods for ECA video assignment submission; either Record LIVE or Upload Media. For Upload Media, please note that your file size should be no more than 500MB and the format is in .mp4.
(25 marks)
Section C (10 marks)
Answer all questions in this section.
Question 6
Prepare a set of PowerPoint presentation upon which the video presentation is based. Please note that the PowerPoint must be converted to PDF before submission to Canvas.
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