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Problem Set # 1 Math Questions

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Problem Set #1 Chapter 1: 1. Financial engineering has been disparaged as nothing more than paper shuffling. Critics argue that resources used for rearranging wealth (that is, bundling and unbundling financial assets) might be better spent on creating wealth (that is, creating real assets). Evaluate this criticism. Are any benefits realized by creating an array of derivative securities from various primary securities? 2. Give an example of three financial intermediaries and explain how they act as a bridge between small investors and large capital markets or corporations. 3. Why do financial assets show up as a component of household wealth, but not of national wealth? Why do financial assets still matter for the material well-being of an economy? Chapter 2: 1. The investment manager of a corporate pension fund has purchased a treasury bill with 182 days to maturity at a price of $9600 per $10000 face value. The manager has computed the bank discount yield at 8%. a. Calculate the bond equivalent yield for the treasury bill. Show your calculations. b. Briefly state two reasons that a treasury bill’s bond equivalent yield is always different from the discount yield. 2.Consider the following data for the three stocks that make up the market: Consider the following data for the three stocks that make a. What is the single-period return on the price-weighted index constructed from the three stocks? b. What is the single-period return on the value-weighted index constructed from the three stocks using a divisor of 100? c. What is the single-period return on the price-weighted index constructed from the three stocks if stocks A and B were to split 2 for 1 and 4 for 1, respectively, after period 0? d. What is the single-period return on the value-weighted index constructed from the three stocks if stocks A and B were to split 2 for 1 and 4 for 1, respectively, after period 0? 3. In what ways is preferred stock like long-term debt? In what ways is it like equity? Non Textbook Question: a. What is the closing price of the S&P TSX today? b. What is the % return on the index for the last day? the last month? the last year? the last five years? C.Answer the same questions for Nutrien (NTR.TO). Based on what you know now, would you have bought Nutrien stock five years ago (if you had the funds do so)? Why or why not? How about an index-fund tied to the S&P TSX index? Why or why not?

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lOMoARcPSD|3013804




Problem Set #1 - math questions


Mathematics (Nottingham Trent University)

, lOMoARcPSD|3013804




Problem Set #1

Chapter 1:

1. Financial engineering has been disparaged as nothing more than paper shuffling. Critics argue
that resources used for rearranging wealth (that is, bundling and unbundling financial assets)
might be better spent on creating wealth (that is, creating real assets). Evaluate this criticism.
Are any benefits realized by creating an array of derivative securities from various primary
securities?

Real assets for the most part do determine the well-being of an economy however, financial innovation in
the form of bundling and unbundling securities enables opportunities for investors to tweak and adjust
their portfolios efficiently. In order to evaluate this criticism we must take a look at the average investor.
There is a reason why only 5%, (an overstatement), consistently outperform the stock market. Investing is
hard - therefore investors can benefit greatly from financial engineering. Bundling and unbundling allows
the ability to also create financial products with new properties and expose your portfolio to various
sources of risk however you feel is best for you. A quote I like a lot from Buffett, “Investors should
remember that excitement and expenses are their enemies”. This quote pretty much sums up that for
most investors, the “boring” and less “hands on” investing strategies may well be the best for them.

2. Give an example of three financial intermediaries and explain how they act as a bridge
between small investors and large capital markets or corporations.

Financial intermediaries represent the bridge between personal investors and the open capital market.

Having worked at RBC for the past summer, I dealt a lot with Mutual funds. Mutual funds essentially
accept funds from smaller retail investors and invest it while taking a % of the amount invested. At RBC
we had a lot of funds that represented the S&P500. Realistically, many smaller investors would not be
able to buy shares from every single company listed on the S&P500 however, RBC acts as bridge and
connects the smaller investors with their own mutual funds. This enables smaller investors to have
exposure to all 500 companies and have access to a similar performance as a larger investor who owns
all 500 of the largest companies in the U.S. Pension funds are another example. Similar to mutual funds
they accept funds and invest it, on behalf of current and future retirees (retail investors), thereby bridging
funds from the smaller investors of the economy to the large capital markets. Another example of a
financial intermediary are venture capital firms. These firms essentially pool the funds of private investors
and invest in start-up firms. Since start-up firms are not always publicly listed, investing in them can be
difficult especially for a smaller investor. Venture capital firms bridge this gap and give the opportunity for
smaller investors to be exposed to this side of the market.

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