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 the house appreciates at 3 percent per year, what will be the value of the house in ten years? How much of this value is your equity?
> A preferred stock from Duquesne Light Company (DQUPRA) pays $3.55 in annual dividends. If the required return on the preferred stock is 6.7 percent, what’s the value of the stock?
> Explain why you use the same adjustment factor, (1 + i), when you adjust annuity due payments for both future value and present value.
> When you discount multiple cash flows, how does the future period that a cash flow is paid affect its present value and its contribution to the value of all the cash flows?
> People can become millionaires in their retirement years quite easily if they start saving early in employer 401(k) or 403(b) programs (or even if their employers don’t offer such programs). Demonstrate the growth of a $250 monthly contribution for 40 ye
> Since perpetuity payments continue forever, how can a present value be computed? Why isn’t the present value infinite?
> How can you use the present value of an annuity concept to determine the price of a house you can afford?
> How can you use the concepts illustrated in computing the number of payments in an annuity to figure how to pay off a credit card balance? How does the magnitude of the payment impact the number of months?
> Suppose that Gyp Sum Industries currently has the following balance sheet, and that sales for the year just ended were $10 million. The firm also has a profit margin of 25 percent, a retention ratio of 30 percent, and expects sales of $8 million next yea
> Given a certain amount of savings, how much can I spend annually during retirement? Your annual income is estimated to be $70,000. Information entered 1. Savings Amount saved…………………………………… ………………………$1,000,000 Rate of return……………………………………. …………………………
> When paying off a home mortgage, extra principle payments can have a dramatic impact on the time needed to pay off the mortgage. (a) Create an amortization schedule for a $200,000, 3-year mortgage with a 6% APR. (b) After the 5th year, add an extra $100
> Consider a person who begins contributing to a retirement plan at age 25 and contributes for 40 years until retirement at age 65. For the first ten years, she contributes $3,000 per year. She increases the contribution rate to $5,000 per year in years 11
> You would like to sell 100 shares of Echo Global Logistics, Inc. (ECHO). The current ask and bid quotes are $15.33 and $15.28, respectively. You place a limit sell-order at $15.31. If the trade executes, how much money do you receive from the buyer?
> Consider Gavin, a new freshman who has just received a Stafford student loan and started college. He plans to obtain the maximum loan from Stafford at the beginning of each year. Although Gavin does not have to make any payments while he is in school, th
> Phoebe realizes that she has charged too much on her credit card and has racked up $6,000 in debt. If she can pay $200 each month and the card charges 18 percent APR (compounded monthly), how long will it take her to pay off the debt?
> Joey realizes that he has charged too much on his credit card and has racked up $5,000 in debt. If he can pay $150 each month and the card charges 17 percent APR (compounded monthly), how long will it take him to pay off the debt?
> To borrow $800, you are offered an add-on interest loan at 7 percent. Three loan payments are to be made, one at four months, another at eight months, and the last one at the end of the year. Compute the three equal payments.
> To borrow $500, you are offered an add-on interest loan at 8 percent. Two loan payments are to be made, one at six months and the other at the end of the year. Compute the two equal payments.
> What annual interest rate would you need to earn if you wanted a $600 per month contribution to grow to $45,000 in six years?
> What annual interest rate would you need to earn if you wanted a $1,000 per month contribution to grow to $75,000 in six years?
> Suppose that Wind Em Corp. currently has the following balance sheet, and that sales for the year just ended were $7 million. The firm also has a profit margin of 27 percent, a retention ratio of 20 percent, and expects sales of $8 million next year. If
> What’s the interest rate of a 7-year, annual $4,000 annuity with present value of $20,000?
> What’s the interest rate of a 6-year, annual $5,000 annuity with present value of $20,000?
> You would like to sell 200 shares of Xenith Bankshares (XBKS). The current ask and bid quotes are $4.66 and $4.62, respectively. You place a limit sell-order at $4.65. If the trade executes, how much money do you receive from the buyer?
> 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
> 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?
> What is the future value of a $900 annuity payment over five years if interest rates are 8 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?
