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Question: What is the future value of a $


What is the future value of a $900 annuity payment over five years if interest rates are 8 percent?



> Payday loans are very short-term loans that charge very high interest rates. You can borrow $500 today and repay $590 in two weeks. What is the compounded annual rate implied by this 18 percent rate charged for only two weeks?

> Payday loans are very short-term loans that charge very high interest rates. You can borrow $225 today and repay $300 in two weeks. What is the compounded annual rate implied by this 33.33 percent rate charged for only two weeks?

> A perpetuity pays $50 per year and interest rates are 9 percent. How much would its value change if interest rates decreased to 7.5 percent? Did the value increase or decrease?

> A perpetuity pays $100 per year and interest rates are 7.5 percent. How much would its value change if interest rates increased to 9 percent? Did the value increase or decrease?

> You are looking to buy a car. You can afford $650 in monthly payments for five years. In addition to the loan, you can make a $750 down payment. If interest rates are 8% APR, what price of car can you afford?

> You are looking to buy a car. You can afford $450 in monthly payments for four years. In addition to the loan, you can make a $1,000 down payment. If interest rates are 5% APR, what price of car can you afford?

> Assume that you contribute $200 per month to a retirement plan for 20 years. Then you are able to increase the contribution to $300 per month for another 30 years. Given a 7 percent interest rate, what is the value of your retirement plan after the 50 ye

> You wish to buy a $25,000 car. The dealer offers you a 4-year loan with a 9 percent APR. What are the monthly payments? How would the payment differ if you paid interest only? What would the consequences of such a decision be?

> Sara’s Ice Cream Shop is closed for six months out of the year, but has had the monthly sales amounts listed as follows for the last four years. Assuming that there is both seasonality and a trend, estimate monthly sales for each month

> If you start making $75 monthly contributions today and continue them for four years, what is their future value if the compounding rate is 12 percent APR? What is the present value of this annuity?

> You would like to buy shares of Coldwater Creek, Inc. (CWTR). The current ask and bid quotes are $20.70 and $20.66, respectively. You place a market buy-order for 200 shares that executes at these quoted prices. How much money did it cost to buy these sh

> If you start making $50 monthly contributions today and continue them for five years, what’s their future value if the compounding rate is 10 percent APR? What is the present value of this annuity?

> A small business owner visits his bank to ask for a loan. The owner states that he can repay a loan at $1,500 per month for the next three years and then $500 per month for two years after that. If the bank is charging customers 8.5 percent APR, how much

> A small business owner visits her bank to ask for a loan. The owner states that she can repay a loan at $1,000 per month for the next three years and then $2,000 per month for two years after that. If the bank is charging customers 7.5 percent APR, how m

> Given a 7 percent interest rate, compute the present value of payments made in years 1, 2, 3, and 4 of $1,000, $1,300, $1,300, and $1,400.

> Given a 6 percent interest rate, compute the present value of payments made in years 1, 2, 3, and 4 of $1,000, $1,200, $1,200, and $1,500.

> Assume that you contribute $150 per month to a retirement plan for 15 years. Then you are able to increase the contribution to $350 per month for the next 25 years. Given an 8 percent interest rate, what is the value of your retirement plan after the 40

> Given a 5 percent interest rate, compute the year 6 future value of deposits made in years 1, 2, 3, and 4 of $1,000, $1,300, $1,300, and $1,400.

> Given a 4 percent interest rate, compute the year 6 future value of deposits made in years 1, 2, 3, and 4 of $1,100, $1,200, $1,200, and $1,500.

> You wish to buy a $10,000 dining room set. The furniture store offers you a 3-year loan with an 11 percent APR. What are the monthly payments? How would the payment differ if you paid interest only? What would the consequences of such a decision be?

> Suppose that the 2016 actual and 2017 projected financial statements for Comfy Corners Catbeds are initially shown as follows. In these tables, sales are projected to rise by 22 percent in the coming year, and the components of the income statement and b

> You would like to buy shares of Sirius Satellite Radio (SIRI). The current ask and bid quotes are $3.96 and $3.93, respectively. You place a market buy-order for 500 shares that executes at these quoted prices. How much money did it cost to buy these sha

> Consider that you are 35 years old and have just changed to a new job. You have $80,000 in the retirement plan from your former employer. You can roll that money into the retirement plan of the new employer. You will also contribute $3,600 each year into

> You have secured a loan from your bank for two years to build your home. The terms of the loan are that you will borrow $100,000 now and an additional $50,000 in one year. Interest of 9 percent APR will be charged on the balance monthly. Since no payment

> You have secured a loan from your bank for two years to build your home. The terms of the loan are that you will borrow $200,000 now and an additional $100,000 in one year. Interest of 10 percent APR will be charged on the balance monthly. Since no payme

> Say that you purchase a house for $150,000 by getting a mortgage for $135,000 and paying a $15,000 down payment. If you get a 15-year mortgage with a 7 percent interest rate, what are the monthly payments? What would the loan balance be in five yea

> Say that you purchase a house for $200,000 by getting a mortgage for $180,000 and paying a $20,000 down payment. If you get a 30-year mortgage with a 7 percent interest rate, what are the monthly payments? What would the loan balance be in ten years? If

> A local furniture store is advertising a deal in which you buy a $5,000 living room set with three years before you need to make any payments (no interest cost is incurred). How much money would you have to deposit now in a savings account earning 4 perc

> A local furniture store is advertising a deal in which you buy a $3,000 dining room set and do not need to pay for two years (no interest cost is incurred). How much money would you have to deposit now in a savings account earning 5 percent APR, compound

> Your client has been given a trust fund valued at $1.5 million. She cannot access the money until she turns 65 years old, which is in 15 years. At that time, she can withdraw $20,000 per month. If the trust fund is invested at a 5 percent rate, how many

> Your client has been given a trust fund valued at $1 million. He cannot access the money until he turns 65 years old, which is in 25 years. At that time, he can withdrawal $25,000 per month. If the trust fund is invested at a 5.5 percent rate, how many m

> Consider that you are 45 years old and have just changed to a new job. You have $150,000 in the retirement plan from your former employer. You can roll that money into the retirement plan of the new employer. You will also contribute $7,200 each year in

> At your full-service brokerage firm, it costs $135 per stock trade. How much money do you receive after selling 250 shares of International Business Machines (IBM), which trades at $96.17?

> John’s Bait and Fish shop has had the monthly sales amounts listed as follows for the last four years. Assuming that there is both seasonality and a trend, estimate monthly sales for each month of the coming year. Year: 2013 2014 20

> A loan is offered with monthly payments and a 13 percent APR. What’s the loan’s effective annual rate (EAR)?

> A loan is offered with monthly payments and a 10 percent APR. What’s the loan’s effective annual rate (EAR)?

> If the future value of an ordinary, 6-year annuity is $8,500 and interest rates are 9.5 percent, what’s the future value of the same annuity due?

> If the future value of an ordinary, 7-year annuity is $6,500 and interest rates are 8.5 percent, what is the future value of the same annuity due?

> If the present value of an ordinary, 6-year annuity is $8,500 and interest rates are 9.5 percent, what’s the present value of the same annuity due?

> If the present value of an ordinary, 7-year annuity is $6,500 and interest rates are 7.5 percent, what’s the present value of the same annuity due?

> What’s the present value, when interest rates are 8.5 percent, of a $75 payment made every year forever?

> What’s the present value, when interest rates are 7.5 percent, of a $50 payment made every year forever?

> What’s the present value of a $700 annuity payment over six years if interest rates are 10 percent?

> At your full-service brokerage firm, it costs $140 per stock trade. How much money do you receive after selling 200 shares of Nokia Corporation (NOK), which trades at $20.13?

> What’s the present value of a $900 annuity payment over five years if interest rates are 8 percent?

> Suppose that the 2016 actual and 2017 projected financial statements for AFS are initially shown as follows. In these tables, sales are projected to rise by 14 percent in the coming year, and the components of the income statement and balance sheet that

> Compute the present value of a $2,000 deposit in year 1 and another $2,500 deposit at the end of year 4 using an 8 percent interest rate.

> Compute the present value of a $2,000 deposit in year 1 and another $1,500 deposit at the end of year 3 if interest rates are 10 percent.

> What is the future value of a $700 annuity payment over six years if interest rates are 10 percent?

> Compute the future value in year 7 of a $2,000 deposit in year 1 and another $2,500 deposit at the end of year 4 using an 8% interest rate.

> Compute the future value in year 9 of a $2,000 deposit in year 1 and another $1,500 deposit at the end of year 3 using a 10 percent interest rate.

> Given an 8 percent interest rate, compute the year 7 future value if deposits of $1,000 and $2,000 are made in years 1 and 3, respectively, and a withdrawal of $700 is made in year 4.

> A mortgage broker is offering a $279,000, 30-year mortgage with a teaser rate. In the first two years of the mortgage, the borrower makes monthly payments on only a 4.5 percent APR interest rate. After the second year, the mortgage interest rate charged

> At your discount brokerage firm, it costs $9.50 per stock trade. How much money do you need to buy 300 shares of Time Warner, Inc. (TWX), which trades at $22.62?

> Explain what we mean when we say that one portfolio dominates another portfolio?

> A mortgage broker is offering a $183,900, 30-year mortgage with a teaser rate. In the first two years of the mortgage, the borrower makes monthly payments on only a 4 percent APR interest rate. After the second year, the mortgage interest rate charged i

> Hank purchased a $20,000 car two years ago using a 9 percent, 5-year loan. He has decided that he would sell the car now, if he could get a price that would pay off the balance of his loan. What’s the minimum price Hank would need to receive for his car?

> Why is debt often referred to as leverage in finance?

> Rachel purchased a $15,000 car three years ago using an 8 percent, 4-year loan. She has decided that she would sell the car now, if she could get a price that would pay off the balance of her loan. What is the minimum price Rachel would need to receive f

> Ross has decided that he wants to build enough retirement wealth that, if invested at 7 percent per year, will provide him with $3,000 of monthly income for 30 years. To date, he has saved nothing, but he still has 20 years until he retires. How much mon

> Monica has decided that she wants to build enough retirement wealth that, if invested at 8 percent per year, will provide her with $3,500 of monthly income for 20 years. To date, she has saved nothing, but she still has 30 years until she retires. How mu

> Create the amortization schedule for a loan of $5,000, paid monthly over two years using an 8 percent APR.

> Create the amortization schedule for a loan of $15,000, paid monthly over three years using a 9 percent APR.

> A car company is offering a choice of deals. You can receive $1,000 cash back on the purchase, or a 2 percent APR, 5-year loan. The price of the car is $20,000 and you could obtain a 5-year loan from your credit union, at 7 percent APR. Which deal is ch

> A car company is offering a choice of deals. You can receive $500 cash back on the purchase, or a 3 percent APR, 4-year loan. The price of the car is $15,000 and you could obtain a 4-year loan from your credit union, at 6 percent APR. Which deal is cheap

> Suppose that Lil John Industries’ equity is currently selling for $37 per share and that there are 2 million shares outstanding. If the firm also has 30 thousand bonds outstanding, which are selling at 103 percent of par, what are the firm’s current capi

> To borrow $700, you are offered an add-on interest loan at 9 percent with 12 monthly payments. First, compute the 12 equal payments and then compute the EAR of the loan:

> To borrow $2,000, you are offered an add-on interest loan at 10 percent with 12 monthly payments. First, compute the 12 equal payments and then compute the EAR of the loan:

> Given a 9 percent interest rate, compute the year 6 future value if deposits of $1,500 and $2,500 are made in years 2 and 3, respectively, and a withdrawal of $600 is made in year 5.

> Would you expect a utility company to have high or low debt levels? Why?

> If we observe a 1-year Treasury security rate that is higher than the 2-year Treasury security rate, what can we infer about the 1-year rate expected one year from now?

> What is a forward interest rate?

> What should happen to a security’s equilibrium interest rate as the security’s liquidity risk increases?

> What are six factors that determine the nominal interest rate on a security?

> Discuss and compare the three explanations for the shape of the yield curve.

> What factors cause the demand for funds curve to shift?

> At your discount brokerage firm, it costs $7.95 per stock trade. How much money do you need to buy 200 shares of Pfizer, Inc. (PFE), which trades at $31.40?

> What factors cause the supply of funds curve to shift?

> Who are the demanders of loanable funds?

> Who are the suppliers of loanable funds?

> How do FIs alleviate the problem of liquidity risk faced by investors wishing to invest in securities of corporations?

> If the U.S. government completely eliminated taxation at the corporate level, how would this influence the capital structures of firms in a world with bankruptcy?

> The capital budgeting decision techniques that we’ve discussed all have strengths and weaknesses, but they do comprise the most popular rules for valuing projects. Valuing entire businesses, on the other hand, requires that some adjustm

> How do FIs reduce monitoring costs associated with the flow of funds from fund suppliers to fund users?

> Why would a world limited to the direct transfer of funds from suppliers of funds to users of funds likely result in quite low levels of fund flows?

> How would economic transactions between suppliers of funds (e.g., households) and users of funds (e.g., corporations) occur in a world without FIs?

> What are the different types of financial institutions? Include a description of the main services offered by each.

> On March 9, 2009, the Dow Jones Industrial Average reached a new low. The index closed at 6,547.05, which was down 79.89 that day. What was the return (in percent) of the stock market that day?

> Classify the following financial instruments as money market securities or capital market securities:

> Classify the following transactions as taking place in the primary or secondary markets:

> Are the unbiased expectations and liquidity premium theories explanations for the shape of the yield curve completely independent theories? Explain why or why not.

> A particular security’s default risk premium is 2 percent. For all securities, the inflation risk premium is 1.75 percent and the real risk-free rate is 3.5 percent. The security’s liquidity risk premium is 0.25 percent and maturity risk premium is 0.85

> Assume the current interest rate on a 1-year Treasury bond (1R1) is 4.50 percent, the current rate on a 2-year Treasury bond (1R2) is 5.25 percent, and the current rate on a 3-year Treasury bond (1R3) is 6.50 percent. If the unbiased expectations theory

> The Wall Street Journal reports that the rate on 3-year Treasury securities is 1.20 percent and the rate on 5-year Treasury securities is 2.15 percent. According to the unbiased expectations theories, what does the market expect the 2-year Treasury rate

> Explain why, in a world with both corporate taxes and the chance of bankruptcy, a small firm with volatile EBIT is unlikely to have much debt.

> Suppose we observe the 3-year Treasury security rate (1R3) to be 8 percent, the expected 1-year rate next year−E(2r1)−to be 4 percent, and the expected 1-year rate the following year−E(3r1)−to be 6 percent. If the unbiased expectations theory of the term

> The Wall Street Journal reports that the current rate on 10-year Treasury bonds is 2.25 percent and on 20-year Treasury bonds is 4.50 percent. Assume that the maturity risk premium is zero. Calculate the expected rate on a 10- year Treasury bond purchase

> The Wall Street Journal reports that the current rate on 5-year Treasury bonds is 1.85 percent and on 10-year Treasury bonds is 3.35 percent. Assume that the maturity risk premium is zero. Calculate the expected rate on a 5- year Treasury bond purchased

> On March 5, 2013, the Dow Jones Industrial Average set a new high. The index closed at 14,253.77, which was up 125.95 that day. What was the return (in percent) of the stock market that day?

> The Wall Street Journal reports that the current rate on 8-year Treasury bonds is 5.85 percent, on 15-year Treasury bonds is 6.25 percent, and on a 15-year corporate bond issued by MHM Corp. is 7.35 percent. Assume that the maturity risk premium is zero.

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