Question
1. John deposited $1,000 in an account earning 4% interest compounded annually, how much will his account be worth in 20 years? N I PV
1. John deposited $1,000 in an account earning 4% interest compounded annually, how much will his account be worth in 20 years?
N I PV PMT FV
2. You have decided to invest $3,000 per year into a mutual fund for the next 30 years with expectations of a 10% annual rate of return, how much will your account be worth in 30 years?
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3. An opportunity exists to purchase a government bond that will be worth $1,000 in 30 years, the discount rate is 5%, how much will you pay to purchase this zero coupon bond?
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4. You could choose between receiving $50,000 each year for the next 20 years or you can take a lump-sum payment of $400,000 today.Which would you choose? The interest rate is 6% for all future periods. (hint: compare the present value of the annuity to the lump sum)
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5. You have a goal of retiring in 30 years with $1,000,000 the best way to set aside funds to reach this goal is to make annual contributions into an account which pays an expected 8% interest rate compounded annually.How much should you set aside each year to achieve your goal?
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Use the information above to answer how much you would have to contribute if you started today instead of in one year. (Annuity due)
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How large of a lump sum would you have to deposit to meet your goal? (Hint 2nd PMT, 2nd ENTER)
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6. You are considering the purchase of a home and need to determine your payments, if you borrow $100,000 at 6% annual interest rate for 30 years how much is your annual mortgage payment? Also, determine the monthly mortgage payment.
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7. You would like to establish an endowment fund so that a needy student can purchase text- books. It is estimated that $2,000 per year is the amount of cash flow the endowment needs to generate.
How large of a check do you need to write? I = 5%
8. A $1,000 investment in Harley Davidson 20 years ago is now worth $4,656. Calculate your average annual rate of return (geometric mean)?
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9. A preferred stock issued by AT&T Corporation pays $2.25 per year, your required rate of return is 8%, how much would you pay per share to purchase this preferred stock?
10. A firm will pay a dividend next year of $2.20 the dividend is expected to increase each year forever by 3%, your required rate of return is 13% how much would you pay for one share of the stock?
Use the formula for the constant growth model given below.
P0 = D1 / (k - g)
11. A project will generate cash flows of $10,000 per year for the next 5 years, the cost of the project is equal to $30,000. What is the internal rate of return on this project?
Time period
0 1 2 3 4 5
Cash flow
-30,000 10,00010,000 10,000 10,00010,000
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12. A company has paid the following dividends to shareholders
Year Dividend
2013 $1.50
2012 $1.40
2011 $1.30
2010 $1.20
2009 $1.00
From the information given above determine the growth rate in this company's dividends using the point-to-point method.
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