1)You are considering the purchase of a home that would require a mortgage of $250,000 (i.e. you are borrowing $250,000 from a bank to buy the house. You intend to pay the bank back through equal monthly instalments). Suppose you are interested in the arithmetic sum of all the instalments you pay. How much more in total will you pay if you select a 30-year mortgage with an APR of 5.65% rather than a 15-year mortgage at an APR 4.9%? (Round the monthly payment amount to 2 decimal places.)

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2)A salesperson gives you the following payment plans, "Buy this new car for $30,000 cash OR, with an appropriate down payment, pay $800 per month for 36 months at 5% interest.". If these two offers are financially equivalent at the stated interest rate, calculate the "appropriate" down payment.(Remember, when interest rates are quoted as they are in this question, they are APRs. Also, Financially equivalent means that the two streams of cashflows have the same PV)

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3)You're ready to make the last of four equal, annual payments on a $1,000 loan with a 7.77% interest rate. How much of this last payment is towards paying off accrued interest and how much towards paying off the remaining principal? (Read Amortized Loans section in Chapter 5 in your textbook)

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4)An investment offers to pay $ 100 a year forever starting at the end of year 6. If the interest rate is 8%, then what is the investment's value today? (Take note: first payment happens at the end of 6^th year, not the end of 1^st year.)

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5)If the EAR is known to be 16.08% on a debt that has quarterly payments, what is the APR? (While you can use the formula from the textbook, try solving it on the financial calculator using ICONV)

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6)Sharon Marsh just graduated. She plans to work for five years and then leave for the Australian "Outback" Country for an extended vacation. She figures she can save $3,500 at the end of each of the first three years and $5,000 at the end of each of two years after. Her family also gave her a graduation gift today of $2,500. Sharon sets up a savings account that offers her an APR of 7.75% which compounds annually. What is her bank account worth at the end of the fifth year before she heads to Australia? (try using the NFV on the calculator)

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7)You have just retired with savings of $ 1.5 million. If you expect to live for 30 years and earn 8% a year on your savings, how much can you afford to spend each year? Assume that the spending occurs at the beginning of the year. (Don't forget about BGN mode)

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8)Lottery prizes are often not "worth" as much as claimed. What is the present value of a prize of $5,000,000 that is to be received in 20 equal yearly instalments, with the first payment beginning today? Assume an interest rate of 7%

(The equal yearly payments will be equal to 5,000,000/20, in case the question was not clear. Also don't forget BGN mode)

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9)Miller's Hardware plans on saving $42,000, $54,000 and $58,000 at the end of each year for the next three years, respectively. How much will the firm have saved at the end of the three years if it can earn 4.5% on its savings?

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10)A sum of $3,000 is deposited into an account paying 10% annually. If $1,206 is withdrawn at the end of years 1 and 2, how much remains in the account at the end of year 2?

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