Discussion: The Buy Versus Rent Decision

Read the HBR case study Time Value of Money: The Buy Versus Rent Decision and calculate the best route for the graduate’s housing situation, developing your understanding of time value of money (TVM) concepts and calculations. Describe your assumptions, methodology, and results in your discussion narrative, and attach a simple spreadsheet supporting your analysi

In May 2013, Rebecca Young completed her MBA and moved to Toronto for a new job in investment banking. There, she rented a spacious, two-bedroom condominium for $3,000 per month, which included parking but not utilities or cable television. In July 2014, the virtually identical unit next door became available for sale with an asking price of $620,000, and Young believed she could purchase it for $600,000. She realized she was facing the classic buy-versus-rent decision. It was time for her to apply some of the analytical tools she had acquired in business school — including “time value of money” concepts — to her personal life. While Young really liked the condominium unit she was renting, as well as the condominium building itself, she felt that it would be inadequate for her long-term needs, as she planned to move to a house or even to a larger penthouse condominium within five to 10 years — even sooner if her job continued to work out well. Friends and family had given Young a variety of mixed opinions concerning the buy-versus-rent debate, ranging from “you’re throwing your money away on rent” to “it’s better to keep things as cheap and flexible as possible until you are ready to settle in for good.” She realized that both sides presented good arguments, but she wanted to analyze the buy-versus-rent decision from a quantitative point of view in order to provide some context for the qualitative considerations that would ultimately be a major part of her decision. FINANCIAL DETAILS If Young purchased the new condominium, she would pay monthly condo fees of $1,055 per month, plus property taxes of $300 per month on the unit. Unlike when renting, she would also be responsible for repairs and general maintenance, which she estimated would average $600 per year. If she decided to purchase the new unit, Young intended to provide a cash down payment of 20 per cent of the purchase price. There was also a local deed-transfer tax of approximately 1.5 per cent of the purchase price, and a provincial deed-transfer tax of 1.5 per cent, both due on the purchase date. (For This document is authorized for use only by JAE BOK LEE ([email protected]). Copying or posting is an infringement of copyright. Please contact [email protected] or 800-988-0886 for additional copies. Page 2 9B14N024 simplicity, Young planned to initially ignore any other tax considerations throughout her analysis.) Other closing fees were estimated to be around $2,000. In order to finance the remaining 80 per cent of the purchase price, Young contacted several lenders and found that she would be able to obtain a mortgage at a 4 per cent “quoted” annual rate1 that would be locked in for a 10-year term and that she would amortize the mortgage over 25 years, with monthly payments. The money that Young was planning to use for her down payment and closing costs was presently invested and was earning the same effective monthly rate of return as she would be paying on her mortgage. Young assumed that if she were to sell the condominium — say, in the next two to 10 years — she would pay 5 per cent of the selling price to realtor fees plus $2,000 in other closing fees. SCENARIO ANALYSIS In order to complete a financial analysis of the buy-versus-rent decision, Young realized that her first task would be to determine the required monthly mortgage payments. Next, she wanted to determine the opportunity cost (on a monthly basis) of using the lump-sum required funds for the condominium purchase rather than leaving those funds invested and earning the effective monthly rate, assumed to be equivalent to the mortgage rate. She would then be able to determine additional monthly payments required to buy the condominium compared to renting, including the opportunity cost. Young wanted to consider what might happen if she chose to sell the condominium at a future date. She was confident that any re-sell would not happen for at least two years, but it could certainly happen in five or 10 years’ time. She needed to model the amount of the outstanding principal at various points in the future — two, five or 10 years from now. She then wanted to determine the net future gain or loss after two, five and 10 years under the following scenarios, which she had determined were possible after some due diligence regarding future real-estate prices in the Toronto condo market: (a) The condo price remains unchanged; (b) The condo price drops 10 per cent over the next two years, then increases back to its purchase price by the end of five years, then increases by a total of 10 per cent from the original purchase price by the end of 10 years; (c) The condo price increases annually by the annual rate of inflation of 2 per cent per year over the next 10 years; and (d) The condo price increases annually by an annual rate of 5 per cent per year over the next 10 years. FINAL CONSIDERATIONS Young realized she had a tough decision ahead of her, but she was well trained to make these types of decisions. She also recognized that her decision would not be based on quantitative factors alone; it would need to be based on any qualitative considerations as well. She knew she needed to act soon because condominiums were selling fairly quickly, and she would need to arrange financing and contact a lawyer to assist in any paperwork if she decided to buy. 1 In Canada, quoted mortgage rates are based on semi-annual compounding, compared with personal loans and most U.S. mortgages based on monthly compounding.

1. Determine the required monthly payments for the mortgage.

2. Determine the “opportunity “ costs, on a monthly basis, of using the required funds for closing ( that is, down payment plus all closing costs), rather than leaving those funds invested and earning the monthly effective rate determined in part (a)

3. Determine the monthly additional payments required to buy versus rent ( include the monthly opportunity costs determined in part (b))

4. Determine the principal outstanding on mortgage after :

a. Two years

b. Five years

c. Ten years

5. Determine the “ net” future gain or loss after two, five and ten years under the following scenarios, which Rebecca Young has determined are possible after some “ due diligence” regarding future real-estate prices in Toronto condo market:

A) The condo price remains unchanged.

B) The condo price drops 10 per cent over the next two years, then increases back to its purchase price by the end of the five years, then increases by a total of 10 per cent from the original purchase price by the end of 10 years.

C) The condo price increases annually by the annual rate of inflation of 2 per cent per year over the next 10 years.

D) The condo price increases annually by the annual rate of inflation of 5 per cent per year over the next 10 years.

6. As Rebecca Young, what decision would you make? Describe any qualitative considerations that could factor into your decision.

 
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Finance

Which of the following statements is most correct? (Points : 1) If annual compounding is used, the effective annual rate equals the simple rate. If annual compounding is used, the effective annual rate equals the periodic rate. If a loan has a 12 percent simple rate with semiannual compounding, its effective annual rate is equal to 11.66 percent. Both the first and second answers are correct. Both the first and third answers are correct. 2. Why is the present value of an amount to be received (paid) in the future less than the future amount? (Points : 1) Deflation causes investors to lose purchasing power when their dollars are invested for greater than one year. Investors have the opportunity to earn positive rates of return, so any amount invested today should grow to a larger amount in the future. Investments generally are not as good as those who sell them suggest, so investors usually are not willing to pay full face value for such investments, thus the price is discounted. Because investors are taxed on the income received from investments they never will buy an investment for the amount expected to be received in the future. None of the above is a correct answer. 3. Suppose someone offered you your choice of two equally risky annuities, each paying $5,000 per year for 5 years. One is an annuity due, while the other is a regular (or deferred) annuity. If you are a rational wealth-maximizing investor which annuity would you choose? (Points : 1) The annuity due. The deferred annuity. Either one, because as the problem is set up, they have the same present value. Without information about the appropriate interest rate, we cannot find the values of the two annuities, hence we cannot tell which is better. The annuity due; however, if the payments on both were doubled to $10,000, the deferred annuity would be preferred. 4. Which of the following statements is correct? (Points : 1) For all positive values of r and n, FVIFr, n > 1.0 and PVIFAr, n > n. You may use the PVIF tables to find the present value of an uneven series of payments. However, the PVIFA tables can never be of use, even if some of the payments constitute n annuity (for example, $100 each year for Years 3, 4, and 5), because the entire series does not constitute an annuity. If a bank uses quarterly compounding for saving accounts, the simple rate will be greater than the effective annual rate. The present value of a future sum decreases as either the simple interest rate or the number of discount periods per year increases. All of the above statements are false. 5. Alice’s investment advisor is trying to convince her to purchase an investment that pays $250 per year. The investment has no maturity; therefore the $250 payment will continue every year forever. Alice has determined that her required rate of return for such an investment should be 14 percent and that she would hold the investment for 10 years and then sell it. If Alice decides to buy the investment, she would receive the first $250 payment one year from today. How much should Alice be willing to pay for this investment? (Points : 1) $1,304.03, because this is the present value of an ordinary annuity that pays $250 a year for 10 years at 14 percent. $1,486.59, because this is the present value of an annuity due that pays $250 a year for 10 years at 14 percent. $1,785.71, because this is the present value of a $250 perpetuity at 14 percent. There is not enough information to answer this question, because the selling price of the investment in 10 years is not known today. None of the above is correct. 6. A recent advertisement in the financial section of a magazine carried the following claim: “Invest your money with us at 14 percent, compounded annually, and we guarantee to double your money sooner than you imagine.” Ignoring taxes, how long would it take to double your money at a simple rate of 14 percent, compounded annually? (Points : 1) Approximately 3.5 years Approximately 5 years Exactly 7 years Approximately 10 years Exactly 14 years 7. You deposited $1,000 in a savings account that pays 8 percent interest, compounded quarterly, planning to use it to finish your last year in college. Eighteen months later, you decide to go to the Rocky Mountains to become a ski instructor rather than continue in school, so you close out your account. How much money will you receive? (Points : 1) $1,171 $1,126 $1,082 $1,163 $1,008 8. If a 5-year regular annuity has a present value of $1,000, and if the interest rate is 10 percent, what is the amount of each annuity payment? (Points : 1) $240.42 $263.80 $300.20 $315.38 $346.87 9. At an inflation rate of 9 percent, the purchasing power of $1 would be cut in half in 8.04 years. How long to the nearest year would it take the purchasing power of $1 to be cut in half if the inflation rate were only 4%? (Points : 1) 12 years 15 years 18 years 20 years 23 years 10. Assume that you can invest to earn a stated annual rate of return of 12 percent, but where interest is compounded semiannually. If you make 20 consecutive semiannual deposits of $500 each, with the first deposit being made today, what will your balance be at the end of Year 20? (Points : 1) $52,821.19 $57,900.83 $58,988.19 $62,527.47 $64,131.50
 
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Federal Reserve Paper

Assignment Content

  1. Resource: Federal Reserve Paper Grading Guide

    Write a 1,050- to 1,400-word paper about The Federal Reserve’s structure and functions.

    Describe the Federal Reserve’s structure and primary functions.

    Explain the effect the Federal Reserve’s policies have on financial markets, institutions and interest rates.

    Access the Federal Reserve Economic data web page.    https://fred.stlouisfed.org/      In the At a Glance frame near the bottom of the page you will find eight data series. List all eight series of data and explain what the data portrays and its importance.
    Format your paper consistent with APA guidelines.4 Functions of the Fed

    CHAPTER OBJECTIVES

    The specific objectives of this chapter are to:

    · ▪ describe the organizational structure of the Fed,

    · ▪ describe how the Fed influences monetary policy,

    · ▪ explain how the Fed revised its lending role in response to the credit crisis, and

    · ▪ explain how monetary policy is used in other countries.

    The  Federal Reserve System  (the Fed) is involved (along with other agencies) in regulating commercial banks. It is responsible for conducting periodic evaluations of state-chartered banks and savings institutions with more than $50 billion in assets. Its role as regulator is discussed in  Chapter 18 .

    4-1 OVERVIEW

    As the central bank of the United States, the Fed has the responsibility for conducting national monetary policy in an attempt to achieve full employment and price stability (low or zero inflation) in the United States. With its monetary policy, the Fed can influence the state of the U.S. economy in the following ways. First, since the Fed’s monetary policy affects interest rates, it has a strong influence on the cost of borrowing by households and thus affects the amount of monthly payments on mortgages, car loans, and other loans. In this way, monetary policy determines what households can afford and therefore how much consumers spend.

    Second, monetary policy also affects the cost of borrowing by businesses and thereby influences how much money businesses are willing to borrow to support or expand their operations. By its effect on the amount of spending by households and businesses, monetary policy influences the aggregate demand for products and services in the United States and therefore influences the national income level and employment level. Since the aggregate demand can affect the price level of products and services, the Fed indirectly influences the price level and hence the rate of inflation in the United States.

    Because the Fed’s monetary policy affects interest rates, it has a direct effect on the prices of debt securities. It can also indirectly affect the prices of equity securities by affecting economic conditions, which influence the future cash flows generated by publicly traded businesses. Overall, the Fed’s monetary policy can have a major impact on households, businesses, and investors. A more detailed explanation of how the Fed’s monetary policy affects interest rates is provided in  Chapter 5 .

    WEB

    www.clevelandfed.org

    Features economic and banking topics.

    4-2 ORGANIZATIONAL STRUCTURE OF THE FED

    During the late 1800s and early 1900s, the United States experienced several banking panics that culminated in a major crisis in 1907. This motivated Congress to establish a central bank. In 1913, the Federal Reserve Act was implemented, which established reserve requirements for the commercial banks that chose to become members. It also specified 12 districts across the United States as well as a city in each district where a Federal Reserve district bank was to be established. Initially, each district bank had the ability to affect the money supply (as will be explained later in this chapter). Each district bank focused on its particular district without much concern for other districts. Over time, the system became more centralized, and money supply decisions were assigned to a particular group of individuals rather than across 12 district banks.

    The Fed earns most of its income from the interest on its holdings of U.S. government securities (to be discussed shortly). It also earns some income from providing services to financial institutions. Most of its income is transferred to the Treasury.

    The Fed as it exists today has five major components:

    · ▪ Federal Reserve district banks

    · ▪ Member banks

    · ▪ Board of Governors

    · ▪ Federal Open Market Committee (FOMC)

    · ▪ Advisory committees

    4-2a Federal Reserve District Banks

    The 12 Federal Reserve districts are identified in  Exhibit 4.1 , along with the city where each district bank is located. The New York district bank is considered the most important because many large banks are located in this district. Commercial banks that become members of the Fed are required to purchase stock in their  Federal Reserve district bank . This stock, which is not traded in a secondary market, pays a maximum dividend of 6 percent annually.

    Each Fed district bank has nine directors. There are three Class A directors, who are employees or officers of a bank in that district and are elected by member banks to represent member banks. There are three Class B directors, who are not affiliated with any bank and are elected by member banks to represent the public. There are also three Class C directors, who are not affiliated with any bank and are appointed by the Board of Governors (to be discussed shortly). The president of each Fed district bank is appointed by the three Class B and three Class C directors representing that district.

    Fed district banks facilitate operations within the banking system by clearing checks, replacing old currency, and providing loans (through the so-called discount window) to depository institutions in need of funds. They also collect economic data and conduct research projects on commercial banking and economic trends.

    4-2b Member Banks

    Commercial banks can elect to become member banks if they meet specific requirements of the Board of Governors. All national banks (chartered by the Comptroller of the Currency) are required to be members of the Fed, but other banks (chartered by their respective states) are not. Currently, about 35 percent of all banks are members; these banks account for about 70 percent of all bank deposits.

    4-2c Board of Governors

    The  Board of Governors  (sometimes called the Federal Reserve Board) is made up of seven individual members with offices in Washington, D.C. Each member is appointed by the President of the United States and serves a nonrenewable 14-year term. This long term is thought to reduce political pressure on the governors and thus encourage the development of policies that will benefit the U.S. economy over the long run. The terms are staggered so that one term expires in every even-numbered year.

    WEB

    www.federalreserve.gov

    Background on the Board of Governors, board meetings, board members, and the structure of the Fed.

    Exhibit 4.1 Locations of Federal Reserve District Banks

     

    One of the seven board members is selected by the president to be the Federal Reserve chairman for a four-year term, which may be renewed. The chairman has no more voting power than any other member but may have more influence. Paul Volcker (chairman from 1979 to 1987), Alan Greenspan (chairman from 1987 to 2006), and Ben Bernanke (whose term began in 2006) were regarded as being highly persuasive.

    As a result of the Financial Reform Act of 2010, one of the seven board members is designated by the president to be the Vice Chairman for Supervision; this member is responsible for developing policy recommendations that concern regulating the Board of Governors. The Vice Chairman reports to Congress semiannually. The board participates in setting credit controls, such as margin requirements (percentage of a purchase of securities that must be paid with no borrowed funds). With regard to monetary policy, the board has the power to revise reserve requirements imposed on depository institutions. The board can also control the money supply by participating in the decisions of the Federal Open Market Committee, discussed next.

    WEB

    www.federalreserve.gov/monetarypolicy/fomc.htm

    Find information about the Federal Open Market Committee (FOMC).

    4-2d Federal Open Market Committee

    The  Federal Open Market Committee (FOMC)  is made up of the seven members of the Board of Governors plus the presidents of five Fed district banks (the New York district bank plus 4 of the other 11 Fed district banks as determined on a rotating basis). Presidents of the seven remaining Fed district banks typically participate in the FOMC meetings but are not allowed to vote on policy decisions. The chairman of the Board of Governors serves as chairman of the FOMC.

    The main goals of the FOMC are to achieve stable economic growth and price stability (low inflation). Achievement of these goals would stabilize financial markets and interest rates. The FOMC attempts to achieve its goals by controlling the money supply, as described shortly.

    4-2e Advisory Committees

    The Federal Advisory Council consists of one member from each Federal Reserve district who represents the banking industry. Each district’s member is elected each year by the board of directors of the respective district bank. The council meets with the Board of Governors in Washington, D.C., at least four times a year and makes recommendations about economic and banking issues.

    The Consumer Advisory Council is made up of 30 members who represent the financial institutions industry and its consumers. This committee normally meets with the Board of Governors four times a year to discuss consumer issues.

    The Thrift Institutions Advisory Council is made up of 12 members who represent savings banks, savings and loan associations, and credit unions. Its purpose is to offer views on issues specifically related to these institutions. It meets with the Board of Governors three times a year.

    4-2f Integration of Federal Reserve Components

    Exhibit 4.2  shows the relationships among the various components of the Federal Reserve System. The advisory committees advise the board, while the board oversees operations of the district banks. The board and representatives of the district banks make up the FOMC.

    4-2g Consumer Financial Protection Bureau

    As a result of the Financial Reform Act of 2010, the Consumer Financial Protection Bureau was established. It is housed within the Federal Reserve but is independent of the other Fed committees. The bureau’s director is appointed by the president with consent of the Senate. The bureau is responsible for regulating financial products and services, including online banking, certificates of deposit, and mortgages. In theory, the bureau can act quickly to protect consumers from deceptive practices rather than waiting for Congress to pass new laws. Financial services administered by auto dealers are exempt from the bureau’s oversight. An Office of Financial Literacy will also be created to educate individuals about financial products and services.

     

    WEB

    www.federalreserve.gov/monetarypolicy/fomccalendars.htm

    Provides minutes of FOMC meetings. Notice from the minutes how much attention is given to any economic indicators that can be used to anticipate future economic growth or inflation.

    4-3 HOW THE FED CONTROLS MONEY SUPPLY

    The Fed controls the money supply in order to affect interest rates and thereby affect economic conditions. Financial market participants closely monitor the Fed’s actions so that they can anticipate how the money supply will be affected. They then use this information to forecast economic conditions and securities prices. The relationship between the money supply and economic conditions is discussed in detail in the following chapter. First, it is important to understand how the Fed controls the money supply.

    Exhibit 4.2 Integration of Federal Reserve Components

     

    4-3a Open Market Operations

    The FOMC meets eight times a year. At each meeting, targets for the money supply growth level and the interest rate level are determined, and actions are taken to implement the monetary policy dictated by the FOMC. If the Fed wants to consider changing its targets for money growth or interest rates before its next scheduled meeting it may hold a conference call meeting.

    Pre-Meeting Economic Reports  About two weeks before the FOMC meeting, FOMC members are sent the  Beige Book , which is a consolidated report of regional economic conditions in each of the 12 districts. Each Federal Reserve district bank is responsible for reporting its regional conditions, and all of these reports are consolidated to compose the Beige Book.

    About one week before the FOMC meeting, participants receive analyses of the economy and economic forecasts. Thus there is much information for participants to study before the meeting.

    Economic Presentations  The FOMC meeting is conducted in the boardroom of the Federal Reserve Building in Washington, D.C. The seven members of the Board of Governors, the 12 presidents of the Fed district banks, and staff members (typically economists) of the Board of Governors are in attendance. The meeting begins with presentations by the staff members about current economic conditions and recent economic trends. Presentations include data and trends for wages, consumer prices, unemployment, gross domestic product, business inventories, foreign exchange rates, interest rates, and financial market conditions.

    The staff members also assess production levels, business investment, residential construction, international trade, and international economic growth. This assessment is conducted in order to predict economic growth and inflation in the United States, assuming that the Fed does not adjust its monetary policy. For example, a decline in business inventories may lead to an expectation of stronger economic growth, since firms will need to boost production in order to replenish inventories. Conversely, an increase in inventories may indicate that firms will reduce their production and possibly their workforces as well. An increase in business investment indicates that businesses are expanding their production capacity and are likely to increase production in the future. An increase in economic growth in foreign countries is important because a portion of the rising incomes in those countries will be spent on U.S. products or services. The Fed uses this information to determine whether U.S. economic growth is adequate.

    Much attention is also given to any factors that can affect inflation. For example, oil prices are closely monitored because they affect the cost of producing and transporting many products. A decline in business inventories when production is near full capacity may indicate an excessive demand for products that will pull prices up. This condition indicates the potential for higher inflation because firms may raise the prices of their products when they are producing near full capacity and experience shortages. Firms that attempt to expand their capacity under these conditions will have to raise wages to obtain additional qualified employees. The firms will incur higher costs from raising wages and therefore raise the prices of their products. The Fed becomes concerned when several indicators suggest that higher inflation is likely.

    The staff members typically base their forecasts for economic conditions on the assumption that the prevailing monetary growth level will continue in the future. When it is highly likely that the monetary growth level will be changed, they provide forecasts for economic conditions under different monetary growth scenarios. Their goal is to provide facts and economic forecasts, not to make judgments about the appropriate monetary policy. The members normally receive some economic information a few days before the meeting so that they are prepared when the staff members make their presentations.

    FOMC Decisions  Once the presentations are completed, each FOMC member has a chance to offer recommendations as to whether the federal funds rate target should be changed. The target may be specified as a specific point estimate, such as 2.5 percent, or as a range, such as from 2.5 to 2.75 percent.

    In general, evidence that the economy is weakening may result in recommendations that the Fed implement a monetary policy to reduce the federal funds rate and stimulate the economy. For example,  Exhibit 4.3  shows how the federal funds rate was reduced near the end of 2007 and in 2008 as the economy weakened. In December 2008, the Fed set the targeted federal funds rate in the form of a range between 0 and 0.25 percent. The goal was to stimulate the economy by reducing interest rates in order to encourage more borrowing and spending by households and businesses. The Fed maintained the federal funds rate within this range over the 2009–2013 period.

    When there is evidence of a very strong economy and high inflation, the Fed tends to implement a monetary policy that will increase the federal funds rate and reduce economic growth. This policy would be intended to reduce any inflationary pressure that is attributed to excess demand for products and services. The participants are commonly given three options for monetary policy, which are intended to cover a range of the most reasonable policies and should include at least one policy that is satisfactory to each member.

    Exhibit 4.3 Federal Funds Rate over Time

     

    The FOMC meeting allows for participation by voting and nonvoting members. The chairman of the Fed may also offer a recommendation and usually has some influence over the other members. After all members have provided their recommendations, the voting members of the FOMC vote on whether the interest rate target levels should be revised. Most FOMC decisions on monetary policy are unanimous, although it is not unusual for some decisions to have one or two dissenting votes.

    FOMC Statement  Following the FOMC meeting, the committee provides a statement that summarizes its conclusion. The FOMC has in recent years begun to recognize the importance of this statement, which is used (along with other information) by many participants in the financial markets to generate forecasts of the economy. Since 2007, voting members vote not only on the proper policy but also on the corresponding communication (statement) of that policy to the public. The statement is clearly written with meaningful details. This is an improvement over previous years, when the statement contained vague phrases that made it difficult for the public to understand the FOMC’s plans. The statement provided by the committee following each meeting is widely publicized in the news media and also can be accessed on Federal Reserve websites.

    Minutes of FOMC Meeting  Within three weeks of a FOMC meeting, the minutes for that meeting are provided to the public and are also accessible on Federal Reserve websites. The minutes commonly illustrate the different points of view held by various participants at the FOMC meeting.

    4-3b Role of the Fed’s Trading Desk

    If the FOMC determines that a change in its monetary policy is appropriate, its decision is forwarded to the  Trading Desk  (or the  Open Market Desk ) at the New York Federal Reserve District Bank through a statement called the  policy directive . The FOMC specifies a desired target for the federal funds rate, the rate charged by banks on short-term loans to each other. Even though this rate is determined by the banks that participate in the federal funds market, it is subject to the supply and demand for funds in the banking system. Thus, the Fed influences the federal funds rate by revising the amount of funds in the banking system.

    Since all short-term interest rates are affected by the supply of and demand for funds, they tend to move together. Thus the Fed’s actions affect all short-term interest rates that are market determined and may even affect long-term interest rates as well.

    After receiving a policy directive from the FOMC, the manager of the Trading Desk instructs traders who work at that desk on the amount of Treasury securities to buy or sell in the secondary market based on the directive. The buying and selling of government securities (through the Trading Desk) is referred to as open market operations. Even though the Trading Desk at the Federal Reserve Bank of New York receives a policy directive from the FOMC only eight times a year, it continuously conducts open market operations to control the money supply in response to ongoing changes in bank deposit levels. The FOMC is not limited to issuing new policy directives only on its scheduled meeting dates. It can hold additional meetings at any time to consider changing the federal funds rate.

    WEB

    www.treasurydirect.gov

    Treasury note and bond auction results.

    Fed Purchase of Securities  When traders at the Trading Desk at the New York Fed are instructed to lower the federal funds rate, they purchase Treasury securities in the secondary market. First, they call government securities dealers to obtain their list of securities for sale, including the denomination and maturity of each security, and the dealer’s ask quote (the price at which the dealer is willing to sell the security). From this list, the traders attempt to purchase those Treasury securities that are most attractive (lowest prices for whatever maturities are desired) until they have purchased the amount requested by the manager of the Trading Desk. The accounting department of the New York Fed then notifies the government bond department to receive and pay for those securities.

    When the Fed purchases securities through government securities dealers, the bank account balances of the dealers increase and so the total deposits in the banking system increase. This increase in the supply of funds places downward pressure on the federal funds rate. The Fed increases the total amount of funds at the dealers’ banks until the federal funds rate declines to the new targeted level. Such activity, which is initiated by the FOMC’s policy directive, represents a loosening of money supply growth.

 
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Financial Management Catch Up

1. After placing $8,000 in a savings account paying annual compound interest of 8%, calculate the amount that will accumulate if it is left for 8 years?

2. You have just introduced “must have” headphones for the iPod. Sales of the product are expected to be 20,000 units this year and are expected to increase by 16% annually in the future. What are the expected sales in each of the next three years? If the 20,000 units were expected to increase by 18% a year, what are the expected sales next year for this product?

3. What is the present value of a perpetual stream of cash flow that pays $80,000 at the end of one year and grows at a rate of 5% indefinitely? The rate of interest used to discount the cash flows is 10%. What is the present value of the growing perpetuity?

4.What is the present value of a $650 perpetuity discounted back to the present at 10%? What is the present value of the perpetuity?

5.

You are given three investment alternatives to analyze. The cash flows from these three investments are as follows:
Investment table

What is the present value of investments A, B, and C if the appropriate discount rate is 10%?

6. Syntex is considering an investment in one of two stocks. Given the information that follows, which investment is better based on the risk (the standard deviation) and return? Given the information in the table, what percent is the rate of return for Stock B?

Commont Stock A B Table

7. The common stock of Plaxo Enterprises had a market price of $9.45 on the day you purchased it just 1 year ago. During the past year, the stock paid a dividend of $1.43 and closed at a price of $11.66. What rate of return did you earn on your investment in Plaxo’s stock? The rate of return you earned on Plaxo’s stock is what percent?

8. Caswell Enterprises had the following end-of-year stock prices over the last five years and paid no dividends.

TimeCaswell1$1229374658

  • Calculate the average rate of return for each year from the above information.
  • What is the arithmetic average rate of return earned by investing in Caswell’s stock over this period?
  • What is the geometric average rate of return earned by investing in Caswell’s stock over this period?
  • Considering the beginning and ending stock prices for the five-year period are the same, which type of average rate of return best describes the annual rate of return earned over the period (arithmetic or geometric)?
  • The annual rate of return at the end of year 3 is what percent?

9.  On December 5, 2007, the common stock of Google, Inc. (GOOG) was trading at $698.51. One year later, the shares sold for $301.99. Google has never paid a common stock dividend. What rate of return would you have earned on your investment had you purchased the shares on December 5, 2007? The rate of return you would have earned is what percent?

 
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