Question
Question 1: At the end of three years, how much is an initial deposit of $100 worth, assuming a compound annual interest rate of (i)
Question 1: At the end of three years, how much is an initial deposit of $100 worth, assuming a compound annual interest rate of (i) 50 percent? (ii) 25 percent? (iii) 1 percent?
Question 2:
At the end of 7 years, how much is an initial $500 deposit followed by five year- end, annual $100 payments worth, assuming a compound annual interest rate of
(i) 10 percent? (ii) 5 percent? (iii) 0 percent?
Question 3: At the end of 9 years, how much is an initial $500 deposit followed by annual payments of $100, paid at the beginning of the year for next 6 years' worth, assuming a compound annual interest rate of (i) 20 percent? (ii) 25 percent? (iii) 10 percent?
Question 4: At the end of 4 years, how much is an initial $100 deposit worth, assuming a quarterly compounded annual interest rate of (i) 50 percent? (ii) 20 percent?
Question 5: At the end of 11 years, how much is a $1000 initial deposit worth, assuming an annual interest rate of 10 percent compounded (i) annually? (ii) semiannually? (iii) quarterly? (iv) continuously?
Question 6: $1000 at the end of three years is worth how much today, assuming a discount rate of (i) 500 percent? (ii) 25 percent? (iii) 10 percent?
Question 7: What is the aggregate present value of $5000 received at the end of each of the next three years, assuming a discount rate of (i) 14 percent? (ii) 35 percent?
Question 8: $1000 is received at the end of one year, $1500 at the end of two years, and $1,0000 at the end of three years. What is the aggregate present value of the receipts, assuming a discount rate of (i) 4 percent? (ii) 25 percent?
Question 9: $1,0000 is to be received at the end of one year, $1500 at the end of two years, and $1000 at the end of three years. What is the aggregate present value of these receipts assuming a discount rate of
i. 4 percent? ii. 25 percent?
Question 10: Joe Hernandez has inherited $35,000 and wishes to purchase an annuity that will provide him with a steady income over the next 15 years. He has heard that the local savings and loan association is currently paying 6 percent compound interest on an annual basis. If he were to deposit his funds, what year-end equal-dollar amount (to the nearest dollar) would he be able to withdraw annually such that he would have a zero balance after his last withdrawal 15 years from now? Also make the amortization table.
Question 11: You need to have $60,000 at the end of 10 years. To accumulate this sum, you have decided to save a certain amount at the end of each of the next 10 years and deposit it in the bank. The bank pays 8 percent interest compounded annually for long-term deposits. How much will you have to save each year (to the nearest dollar)?
Question 12: Same as last question, except that you deposit a certain amount at the beginning of each of the next 10 years. Now, how much will you have to save each year (to the nearest dollar)?
Question 13: Vernal Equinox wishes to borrow $100,000 for three years. A group of individuals agrees to lend him this amount if he contracts to pay them $160,000 at the end of the three years. What is the implicit compound annual interest rate implied by this contract (to the nearest whole percent)?
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