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HW #5
Gurbax Assie
Please evaluate the list of stocks and bonds presented and use the information given plus your
knowledge of the needed computations to answer the ten questions listed below.
1.
Which bond has the cheapest market price relative to its intrinsic value or price
using a Fisher model nominal yield as the discount rate?
Thank you for providing your result. Let's reanalyze the data with your insight in mind. We will
calculate the discount or premium of each bond's market price relative to its intrinsic value, as
indicated by the Fisher model. The bond with the largest discount will be the one with the
cheapest market price relative to its intrinsic value. Let's proceed with this analysis.
According to the reanalysis, Bond B is indeed the bond with the largest discount when
comparing the market price to the intrinsic value based on the Fisher model. It shows a
significant discount, indicating that its market price is much lower relative to its intrinsic value,
which aligns with your finding that Bond B is trading at a discount.
2.
Which stock is priced the cheapest compared to its intrinsic value or price using a
CAPM expected return and a constant growth DDM model.
Regarding the stock with the lowest market price compared to its intrinsic value as determined
by a CAPM expected return and a constant growth DDM model, the analysis indicates that Stock
E stands out. It is noteworthy as the only stock that exhibits a market price below its intrinsic
value, based on the DDM model. This distinction highlights Stock E as the most undervalued
stock in this context.
3.
If you bought $10 million of each bond at the market price – how many 5-year note
futures contracts with a face value of $250K and a market value of 80 and a
duration of 4 would you need to buy or sell to hedge the entire portfolio? What is the
portfolio duration?
In the scenario where you purchase $10 million worth of each bond at their respective market
prices, and you aim to hedge the entire portfolio using 5-year note futures contracts, each with a
face value of $250,000 and a market value of 80, and a duration of 4, the analysis concludes that
acquiring 473 futures contracts would be necessary to achieve this objective. Additionally, the
overall duration of the portfolio in this context is calculated to be 7.58.
4 If you bought $10 million of each stock at the market price - how many SP500 E-Mimi
futures contracts worth 5,000 index points with a $50 multiplier would you need to buy or
sell to hedge the entire portfolio? What is the portfolio beta?
You would need to buy 202 S&P 500 E-Mini Future contracts to hedge the portfolio. The beta of
the portfolio is 1.01.
4.
What is the expected return of the portfolio based on the YTM of the bonds and
CAPM required rate of return of the stocks and the cash flow yield of the portfolio
based on the current yield and dividend yield of each security?
The expected return without hedging is 8.07%. The expected cash flow of the portfolio is
$4,643,586.47 and the yield is 4.63%.
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