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The tradeoffs between return and risk

The discussion of financial investments has emphasized the expected rate of return, the risk, and the liquidity of each investment. [link] summarizes these characteristics.

Key characteristics for financial investments
Financial Investment Return Risk Liquidity
Checking account Very low Very little Very high
Savings account Low Very little High
Certificate of deposit Low to medium Very little Medium
Stocks High Medium to high Medium
Bonds Medium Low to medium Medium
Mutual funds Medium to high Medium to high Medium to high
Housing Medium Medium Low
Gold Medium High Low
Collectibles Low to medium High Low

The household investment choices listed here display a tradeoff between the expected return and the degree of risk involved. Bank accounts have very low risk and very low returns; bonds have higher risk but higher returns; and stocks are riskiest of all but have the potential for still higher returns. In effect, the higher average return compensates for the higher degree of risk. If risky assets like stocks did not also offer a higher average return, then few investors would want them.

This tradeoff between return and risk complicates the task of any financial investor: Is it better to invest safely or to take a risk and go for the high return? Ultimately, choices about risk and return will be based on personal preferences. However, it is often useful to examine risk and return in the context of different time frames.

The high returns of stock market investments refer to a high average return that can be expected over a period of several years or decades. The high risk of such investments refers to the fact that in shorter time frames, from months to a few years, the rate of return may fluctuate a great deal. Thus, a person near retirement age, who already owns a house, may prefer reduced risk and certainty about retirement income. For young workers, just starting to make a reasonably profitable living, it may make sense to put most of their savings for retirement in stocks. Stocks are risky in the short term, to be sure, but when the worker can look forward to several decades during which stock market ups and downs can even out, stocks will typically pay a much higher return over that extended period than will bonds or bank accounts. Thus, tradeoffs between risk and return must be considered in the context of where the investor is in life.

Key concepts and summary

All investments can be categorized according to three key characteristics: average expected return, degree of risk, and liquidity. To get a higher rate of return, an investor must typically accept either more risk or less liquidity. Banks are an example of a financial intermediary, an institution that operates to coordinate supply and demand in the financial capital market. Banks offer a range of accounts, including checking accounts, savings accounts, and certificates of deposit. Under the federal deposit insurance program, banks purchase insurance against the risk of a bank failure.

A typical bond promises the financial investor a series of payments over time, based on the interest rate at the time the bond is issued, and then repayment of what was borrowed. Bonds that offer a high rate of return but also a relatively high chance of defaulting on the payments are called high yield or junk bonds. The bond yield is the rate of return that a bond promises to pay at the time of purchase. Even when bonds make payments based on a fixed rate of interest, they are somewhat risky, because if interest rates rise for the economy as a whole, an investor who owns bonds issued at lower interest rates is now locked into the low rate and suffers a loss.

Changes in the price of a stock depend on changes in expectations about future profits. Investing in any individual firm is somewhat risky, so investors are wise to practice diversification, which means investing in a range of companies. A mutual fund purchases an array of stocks and/or bonds. An investor in the mutual fund then receives a return depending on the overall performance of the investments made by the fund as a whole. A mutual fund that seeks to imitate the overall behavior of the stock market is called an index fund.

Housing and other tangible assets can also be regarded as forms of financial investment, which pay a rate of return in the form of capital gains. Housing can also offer a nonfinancial return—specifically, you can live in it.

Problems

Imagine that a $10,000 ten-year bond was issued at an interest rate of 6%. You are thinking about buying this bond one year before the end of the ten years, but interest rates are now 9%.

  1. Given the change in interest rates, would you expect to pay more or less than $10,000 for the bond?
  2. Calculate what you would actually be willing to pay for this bond.

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Suppose Ford Motor Company issues a five year bond with a face value of $5,000 that pays an annual coupon payment of $150.

  1. What is the interest rate Ford is paying on the borrowed funds?
  2. Suppose the market interest rate rises from 3% to 4% a year after Ford issues the bonds. Will the value of the bond increase or decrease?

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References

Howley, Kathleen M. Bloomberg. “Home Value Highest Since ’07 as U.S. Houses Make Cash.” Last modified March 26, 2013. http://www.bloomberg.com/news/2013-03-26/home-value-highest-since-07-as-u-s-houses-make-cash-mortgages.html.

NASDAQ.com. 2015. “Facebook, Inc. Historical Stock Prices.” Accessed March 28, 2015. http://www.nasdaq.com/symbol/fb/historical.

National Association of Realtors. 2015. “Existing-Home Sales: Latest News.” Accessed April 1, 2015. http://www.realtor.org/topics/existing-home-sales/data.

PricewaterhouseCoopers LLP. 2015. “Annual Venture Capital Investment Tops $48 Billion in 2014, Reaching Hightest Level in Over a Decade, According to the Moneytree Report.” Accessed April 1, 2015. http://www.pwc.com/us/en/press-releases/2015/annual-venture-capital-investment-tops-48-billion.jhtml.

Rooney, Ben. “Trading Program Sparked May ‘Flash Crash’.” CNN Money . Last modified October 1, 2010. http://money.cnn.com/2010/10/01/markets/SEC_CFTC_flash_crash/index.htm.

Investment Company Institute. “2013 Investment Company Fact Book, Chapter 6: Characteristics of Mutual Fund Owners.” http://icifactbook.org/fb_ch6.html.

Questions & Answers

Three charges q_{1}=+3\mu C, q_{2}=+6\mu C and q_{3}=+8\mu C are located at (2,0)m (0,0)m and (0,3) coordinates respectively. Find the magnitude and direction acted upon q_{2} by the two other charges.Draw the correct graphical illustration of the problem above showing the direction of all forces.
Kate Reply
To solve this problem, we need to first find the net force acting on charge q_{2}. The magnitude of the force exerted by q_{1} on q_{2} is given by F=\frac{kq_{1}q_{2}}{r^{2}} where k is the Coulomb constant, q_{1} and q_{2} are the charges of the particles, and r is the distance between them.
Muhammed
What is the direction and net electric force on q_{1}= 5µC located at (0,4)r due to charges q_{2}=7mu located at (0,0)m and q_{3}=3\mu C located at (4,0)m?
Kate Reply
what is the change in momentum of a body?
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what is a capacitor?
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Capacitor is a separation of opposite charges using an insulator of very small dimension between them. Capacitor is used for allowing an AC (alternating current) to pass while a DC (direct current) is blocked.
Gautam
A motor travelling at 72km/m on sighting a stop sign applying the breaks such that under constant deaccelerate in the meters of 50 metres what is the magnitude of the accelerate
Maria Reply
please solve
Sharon
8m/s²
Aishat
What is Thermodynamics
Muordit
velocity can be 72 km/h in question. 72 km/h=20 m/s, v^2=2.a.x , 20^2=2.a.50, a=4 m/s^2.
Mehmet
A boat travels due east at a speed of 40meter per seconds across a river flowing due south at 30meter per seconds. what is the resultant speed of the boat
Saheed Reply
50 m/s due south east
Someone
which has a higher temperature, 1cup of boiling water or 1teapot of boiling water which can transfer more heat 1cup of boiling water or 1 teapot of boiling water explain your . answer
Ramon Reply
I believe temperature being an intensive property does not change for any amount of boiling water whereas heat being an extensive property changes with amount/size of the system.
Someone
Scratch that
Someone
temperature for any amount of water to boil at ntp is 100⁰C (it is a state function and and intensive property) and it depends both will give same amount of heat because the surface available for heat transfer is greater in case of the kettle as well as the heat stored in it but if you talk.....
Someone
about the amount of heat stored in the system then in that case since the mass of water in the kettle is greater so more energy is required to raise the temperature b/c more molecules of water are present in the kettle
Someone
definitely of physics
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physics, biology and chemistry this is my Field
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field is a region of space under the influence of some physical properties
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determine the slope giving that 3y+ 2x-14=0
WISDOM
Another formula for Acceleration
Belty Reply
a=v/t. a=f/m a
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Adah
pratica A on solution of hydro chloric acid,B is a solution containing 0.5000 mole ofsodium chlorid per dm³,put A in the burret and titrate 20.00 or 25.00cm³ portion of B using melting orange as the indicator. record the deside of your burret tabulate the burret reading and calculate the average volume of acid used?
Nassze Reply
how do lnternal energy measures
Esrael
Two bodies attract each other electrically. Do they both have to be charged? Answer the same question if the bodies repel one another.
JALLAH Reply
No. According to Isac Newtons law. this two bodies maybe you and the wall beside you. Attracting depends on the mass och each body and distance between them.
Dlovan
Are you really asking if two bodies have to be charged to be influenced by Coulombs Law?
Robert
like charges repel while unlike charges atttact
Raymond
What is specific heat capacity
Destiny Reply
Specific heat capacity is a measure of the amount of energy required to raise the temperature of a substance by one degree Celsius (or Kelvin). It is measured in Joules per kilogram per degree Celsius (J/kg°C).
AI-Robot
specific heat capacity is the amount of energy needed to raise the temperature of a substance by one degree Celsius or kelvin
ROKEEB
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Source:  OpenStax, Principles of economics. OpenStax CNX. Sep 19, 2014 Download for free at http://legacy.cnx.org/content/col11613/1.11
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