
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (13th Edition)
13th Edition
ISBN: 9780321947628
Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen
Publisher: PEARSON
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Textbook Question
Chapter 3.2, Problem 5MP
How long will it take
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Chapter 3 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (13th Edition)
Ch. 3.1 - (A) Your sister has loaned you 1,000 with the...Ch. 3.1 - Find die total amount due on a loan of $500 at 12...Ch. 3.1 - Repeat Example 2 with a time period of 6 months.Ch. 3.1 - Repeat Example 3, assuming that you pay $9,828.74...Ch. 3.1 - Repeat Example 4 assuming that 90 days after it...Ch. 3.1 - Repeat Example 5 if 500 shares of stock were...Ch. 3.1 - A credit card has an annual interest rate of...Ch. 3.1 - In Problems 1-4, if necessary, review Section A.I....Ch. 3.1 - In Problems 1-4, if necessary, review Section A.I....Ch. 3.1 - A basketball team has a 16-5 won-loss record. Find...
Ch. 3.1 - A football team played 16 games with a winning...Ch. 3.1 - In Problems 5-8, give the slope and y intercept of...Ch. 3.1 - In Problems 5-8, give the slope and y intercept of...Ch. 3.1 - In Problems 5-8, give the slope and y intercept of...Ch. 3.1 - In Problems 5-8, give the slope and y intercept of...Ch. 3.1 - In Problems 9-16, convert the given interest rate...Ch. 3.1 - In Problems 9-16, convert the given interest rate...Ch. 3.1 - In Problems 9-16, convert the given interest rate...Ch. 3.1 - Prob. 12ECh. 3.1 - In Problems 9-16, convert the given interest rate...Ch. 3.1 - In Problems 9-16, convert the given interest rate...Ch. 3.1 - Prob. 15ECh. 3.1 - Prob. 16ECh. 3.1 - In Problems 17-24, convert the given time period...Ch. 3.1 - In Problems 17-24, convert the given time period...Ch. 3.1 - In problems 17-24, convert the given time period...Ch. 3.1 - In problems 17-24, convert the given time period...Ch. 3.1 - In problems 17-24, convert the given time period...Ch. 3.1 - In problems 17-24, convert the given time period...Ch. 3.1 - In problems 17-24, convert the given time period...Ch. 3.1 - In problems 17-24, convert the given time period...Ch. 3.1 - In Problems 25-32, use formula 1 for simple...Ch. 3.1 - In Problems 25-32, use formula 1 for simple...Ch. 3.1 - In Problems 25-32, use formula 1 for simple...Ch. 3.1 - In Problems 25-32, use formula 1 for simple...Ch. 3.1 - In Problems 25-32, use formula 1 for simple...Ch. 3.1 - In Problems 25-32, use formula 1 for simple...Ch. 3.1 - In Problems 25-32, use formula 1 for simple...Ch. 3.1 - In Problems 25-32, use formula 1 for simple...Ch. 3.1 - In Problems 33-40, use formula 2 for the amount to...Ch. 3.1 - In Problems 33-40, use formula 2 for the amount to...Ch. 3.1 - In Problems 33-40, use formula 2 for the amount to...Ch. 3.1 - In Problems 33-40, use formula 2 for the amount to...Ch. 3.1 - In Problems 33-40, use formula 2 for the amount to...Ch. 3.1 - In Problems 33-40, use formula 2 for the amount to...Ch. 3.1 - In Problems 33-40, use formula 2 for the amount to...Ch. 3.1 - In Problems 33-40, use formula 2 for the amount to...Ch. 3.1 - In Problems 41-46, solve each formula for the...Ch. 3.1 - In Problems 41-46, solve each formula for the...Ch. 3.1 - In Problems 41-46, solve each formula for the...Ch. 3.1 - In Problems 41-46, solve each formula for the...Ch. 3.1 - In Problems 41-46, solve each formula for the...Ch. 3.1 - In Problems 41-46, solve each formula for the...Ch. 3.1 - Discuss the similarities and differences in the...Ch. 3.1 - Discuss the similarities and differences in the...Ch. 3.1 - In all problems involving days, a 360 -day year is...Ch. 3.1 - In all problems involving days,a 360 -day year is...Ch. 3.1 - In all problems involving days, a 360-day year is...Ch. 3.1 - In all problems involving days, a 360-day year is...Ch. 3.1 - In all problems involving days, a 360 -day year is...Ch. 3.1 - In all problems involving days, a 360 -day year is...Ch. 3.1 - In all problems involving days, a 360 -day year is...Ch. 3.1 - In all problems involving days, a 360 -day year is...Ch. 3.1 - In all problems involving days, a 360 -day year is...Ch. 3.1 - In all problems involving days, a 360 -day year is...Ch. 3.1 - A radio commercial for a loan company states: "You...Ch. 3.1 - George finds a company that charges 59c per day...Ch. 3.1 - In all problems involving days, a 360 -day year is...Ch. 3.1 - In all problems involving days, a 360 -day year is...Ch. 3.1 - In all problems involving days, a 360 -day year is...Ch. 3.1 - In all problems involving days, a 360 -day year is...Ch. 3.1 - In Problems 65 and 66, assume that the minimum...Ch. 3.1 - In Problems 65 and 66, assume that the minimum...Ch. 3.1 - In problem 65-68 assume that the minimum payment...Ch. 3.1 - In problem 65-68 assume that the minimum payment...Ch. 3.1 - For services rendered, an attorney accepts a...Ch. 3.1 - To complete the sale of a house, the seller...Ch. 3.1 - Use the commission schedule from Company A shown...Ch. 3.1 - Use the commission schedule from Company A shown...Ch. 3.1 - Use the commission schedule from Company B shown...Ch. 3.1 - Use the commission schedule from Company B shown...Ch. 3.1 - Many lax preparation firms offer their clients a...Ch. 3.1 - Many lax preparation firms offer their clients a...Ch. 3.1 - Many lax preparation firms offer their clients a...Ch. 3.1 - Many lax preparation firms offer their clients a...Ch. 3.1 - In problem 79-82, assume that the annual interest...Ch. 3.1 - In problem 79-82, assume that the annual interest...Ch. 3.1 - In problem 79-82, assume that the annual interest...Ch. 3.1 - In problem 79-82, assume that the annual interest...Ch. 3.2 - Determine the value after 1 year of a 1,000 CD...Ch. 3.2 - (A) Which would be the better way to invest 1,000...Ch. 3.2 - Repeat Example 1 with an annual interest rate of 6...Ch. 3.2 - What amount will an account have after 1.5 years...Ch. 3.2 - How much should new parents invest at 8% to have...Ch. 3.2 - The Russell Index tracks the average performance...Ch. 3.2 - How long will it take 10,000 to grow to 25,000 if...Ch. 3.2 - Southern Pacific Bank offered a 1 -year CD that...Ch. 3.2 - What is the annual nominal rate compounded...Ch. 3.2 - In Problems 1-8, solve the equation for the...Ch. 3.2 - In Problems 1-8, solve the equation for the...Ch. 3.2 - In Problems 1-8, solve the equation for the...Ch. 3.2 - In Problems 1-8. solve the equation for the...Ch. 3.2 - In Problems 1-8. solve the equation for the...Ch. 3.2 - In Problems 1-8. solve the equation for the...Ch. 3.2 - In Problems 1-8. solve the equation for the...Ch. 3.2 - In Problems 1-8. solve the equation for the...Ch. 3.2 - In Problems 9-12.use compound interest formula 1...Ch. 3.2 - In Problems 9-12.use compound interest formula 1...Ch. 3.2 - In Problems 9-12.use compound interest formula 1...Ch. 3.2 - In Problems 9-12.use compound interest formula 1...Ch. 3.2 - In Problems 13-20.use the continuous compound...Ch. 3.2 - In Problems 13-20.use the continuous compound...Ch. 3.2 - In Problems 13-20.use the continuous compound...Ch. 3.2 - In Problems 13-20.use the continuous compound...Ch. 3.2 - In Problems 13-20.use the continuous compound...Ch. 3.2 - In Problems 13-20.use the continuous compound...Ch. 3.2 - In Problems 13-20.use the continuous compound...Ch. 3.2 - In Problems 13-20.use the continuous compound...Ch. 3.2 - In problems 21-26, use the given annual interest...Ch. 3.2 - In problems 21-26, use the given annual interest...Ch. 3.2 - In problems 21-26, use the given annual interest...Ch. 3.2 - In problems 21-26, use the given annual interest...Ch. 3.2 - In problems 21-26, use the given annual interest...Ch. 3.2 - In problems 21-26, use the given annual interest...Ch. 3.2 - In Problems 27-32, use the given interest rate i...Ch. 3.2 - In Problems 27-32, use the given interest rate i...Ch. 3.2 - In Problems 27-32, use the given interest rate i,...Ch. 3.2 - In Problems 27-32, use the given interest rate i...Ch. 3.2 - In Problems 27-32, use the given interest rate i...Ch. 3.2 - In Problems 27-32, use the given interest rate i,...Ch. 3.2 - If $100 is invested at 6 compounded (A) annually...Ch. 3.2 - If $2,000 is invested at 7 compounded...Ch. 3.2 - If $5,000 is invested at 5 compounded monthly,...Ch. 3.2 - If $20,000 is invested at 4 compounded monthly,...Ch. 3.2 - If $8,000 is invested at 7 compounded...Ch. 3.2 - If $23,000 is invested at 13.5 compounded...Ch. 3.2 - Discuss the similarities and the differences in...Ch. 3.2 - Discuss the similarities and differences in the...Ch. 3.2 - If $1,000 is invested in an account that earns...Ch. 3.2 - If $2,000 is invested in an account that earns...Ch. 3.2 - If an investment company pays 6 compounded...Ch. 3.2 - If an investment company pays 8 compounded...Ch. 3.2 - If an investment earns 9 compounded continuously,...Ch. 3.2 - If an investment earns 12 compounded continuously,...Ch. 3.2 - What is the annual percentage yield (APY) for...Ch. 3.2 - What is the annual percentage yield (APY) for...Ch. 3.2 - What is the annual percentage yield (APY) for...Ch. 3.2 - What is the annual percentage yield ( APY ) for...Ch. 3.2 - How long will it take $4,000 to grow to $9,000 if...Ch. 3.2 - How long will it take $5,000 to grow to $7,000 if...Ch. 3.2 - How long will it take $6,000 to grow to $8,600 if...Ch. 3.2 - How long will it take $42,000 to grow to $60,276...Ch. 3.2 - In Problems 59 and 60. use compound interest...Ch. 3.2 - In Problems 59 and 60. use compound interest...Ch. 3.2 - How long will it take money to double if it is...Ch. 3.2 - How long will it take money to double if it is...Ch. 3.2 - How long will it lake money to double if it is...Ch. 3.2 - How long will it take money to double if it is...Ch. 3.2 - A newborn child receives a $20,000 gift toward...Ch. 3.2 - A person with $14,000 is trying to decide whether...Ch. 3.2 - What will a $210,000 house cost 10 years from now...Ch. 3.2 - If the inflation rate averages 4 per year...Ch. 3.2 - Rental costs for office space have been going up...Ch. 3.2 - In a suburb, housing costs have been increasing at...Ch. 3.2 - If the population in a particular country is...Ch. 3.2 - If world population is now 7.5 billion people and...Ch. 3.2 - (A) If an investment of $100 were made in 1776,...Ch. 3.2 - (A) Starting with formula 1, derive each of the...Ch. 3.2 - A promissory note will pay $50,000 at maturity 6...Ch. 3.2 - If you deposit $10,000 in a savings account now,...Ch. 3.2 - You have saved $7,000 toward the purchase of a car...Ch. 3.2 - A married couple has $15,000 toward the purchase...Ch. 3.2 - An Individual Retirement Account (IRA) has $20,000...Ch. 3.2 - If $1 had been placed in a bank account in the...Ch. 3.2 - How long will it take money to double if it is...Ch. 3.2 - How long will it take money to triple if it is...Ch. 3.2 - In a conversation with a friend, you note that you...Ch. 3.2 - Refer to Problem 81. Show that the exact annual...Ch. 3.2 - Solve Problems 83-86 using graphical approximation...Ch. 3.2 - Solve Problems 83-86 using graphical approximation...Ch. 3.2 - Solve Problems 83-86 using graphical approximation...Ch. 3.2 - Solve Problems 83-86 using graphical approximation...Ch. 3.2 - Prob. 85ECh. 3.2 - Prob. 86ECh. 3.2 - What annual nominal rate compounded monthly has...Ch. 3.2 - What annual nominal rate compounded continuously...Ch. 3.2 - Problems 91-94 refer to zero coupon bonds. A zero...Ch. 3.2 - Problems 9194 refer to zero coupon bonds. A zero...Ch. 3.2 - Problems 91-94 refer to zero coupon bonds. A zero...Ch. 3.2 - Problems 91-94 refer to zero coupon bonds. A zero...Ch. 3.2 - Prob. 93ECh. 3.2 - Prob. 94ECh. 3.2 - The buying and selling commission schedule shown...Ch. 3.2 - The buying and selling commission schedule shown...Ch. 3.2 - The buying and selling commission schedule shown...Ch. 3.2 - The buying and selling commission schedule shown...Ch. 3.3 - (A) Discuss the similarities and differences in...Ch. 3.3 - Refer to Example 3 and Matched Problem 3. What was...Ch. 3.3 - What is the value of an annuity at the end of 10...Ch. 3.3 - A bond issue is approved for building a marina in...Ch. 3.3 - Refer to Example 3. Mary starts a Roth IRA earning...Ch. 3.3 - A person makes annual deposits of $1,000 into an...Ch. 3.3 - In Problems 1-6, find the sum of the finite...Ch. 3.3 - In Problems 1-6, find the sum of the finite...Ch. 3.3 - In Problems 1-6, find the sum of the finite...Ch. 3.3 - In Problems 1-6, find the sum of the finite...Ch. 3.3 - In Problems 1-6, find the sum of the finite...Ch. 3.3 - In Problems 1-8, find the sum of the finite...Ch. 3.3 - In Problems 7-14, find i (the rate per period) and...Ch. 3.3 - In Problems 7-14, find i (the rate per period) and...Ch. 3.3 - In Problems 7-14, find i (the rate per period) and...Ch. 3.3 - In Problems 7-14, find i (the rate per period) and...Ch. 3.3 - In Problems 7-14, find i (the rate per period) and...Ch. 3.3 - In Problems 7-14, find i (the rate per period) and...Ch. 3.3 - In Problems 7-14, find i (the rate per period) and...Ch. 3.3 - In Problems 7-14, find i (the rate per period) and...Ch. 3.3 - In Problems 15-22, use the future value formula 6...Ch. 3.3 - In Problems 15-22, use the future value formula 6...Ch. 3.3 - In Problems 15-22, use the future value formula 6...Ch. 3.3 - In Problems 15-22, use the future value formula 6...Ch. 3.3 - In Problems 15-22, use the future value formula 6...Ch. 3.3 - In Problems 15-22, use the future value formula 6...Ch. 3.3 - In Problems 15-22, use the future value formula 6...Ch. 3.3 - In Problems 15-22, use the future value formula 6...Ch. 3.3 - Explain what is meant by an ordinary annuity.Ch. 3.3 - Explain why no interest is credited to an ordinary...Ch. 3.3 - Solve the future value formula 6 for it.Ch. 3.3 - Solve the future value formula 6 for i if n=2.Ch. 3.3 - Guaranty Income Life offered an annuity that pays...Ch. 3.3 - USG Annuity and Life offered an annuity that pays...Ch. 3.3 - In order to accumulate enough money for a down...Ch. 3.3 - A self-employed person has a Keogh retirement...Ch. 3.3 - Sun America offered an annuity that pays 6.35...Ch. 3.3 - The Hartford offered an annuity that pays 5.5...Ch. 3.3 - A company estimates that it will need $100,000 in...Ch. 3.3 - Parents have set up a sinking fund in order to...Ch. 3.3 - If $1.000 is deposited at the end of each year for...Ch. 3.3 - If $2,000 is deposited at the end of each quarter...Ch. 3.3 - Beginning in January, a person plans to deposit...Ch. 3.3 - If $500 is deposited each quarter into an account...Ch. 3.3 - Bob makes his first $1,000 deposit into an IRA...Ch. 3.3 - Refer to Problem 39. John procrastinates and does...Ch. 3.3 - Refer to Problems 39 and40. How much would John...Ch. 3.3 - Refer to Problems 39 and 40. Suppose that Bob...Ch. 3.3 - Compubank, an online banking service, offered a...Ch. 3.3 - American Express's online banking division offered...Ch. 3.3 - You can afford monthly deposits of $200 into an...Ch. 3.3 - A company establishes a sinking fund for upgrading...Ch. 3.3 - In Problems 47-50, use graphical approximation...Ch. 3.3 - In Problems 47-50, use graphical approximation...Ch. 3.3 - Prob. 49ECh. 3.3 - Prob. 50ECh. 3.3 - In Problems 51 and 52, use graphical approximation...Ch. 3.3 - In Problems 51 and 52, use graphical approximation...Ch. 3.4 - To purchase a home, a family plans to sign a...Ch. 3.4 - (A) A family has an $85,000, 30 -year mortgage at...Ch. 3.4 - How much should you deposit in an account paying 8...Ch. 3.4 - Refer to Example 2. If $2,000 is deposited...Ch. 3.4 - If you sell your car to someone for 2,400 and...Ch. 3.4 - Construct the amortization schedule for a $1,000...Ch. 3.4 - A couple purchased a home 20 years ago for...Ch. 3.4 - Which option should you choose if your credit...Ch. 3.4 - The annual interest rate on a credit card is...Ch. 3.4 - In Problems 1-6, find the sum of the finite...Ch. 3.4 - In Problems 1-6, find the sum of the finite...Ch. 3.4 - In Problems 1-6, find the sum of the finite...Ch. 3.4 - In Problems 1-6, find the sum of the finite...Ch. 3.4 - In Problems 1-6, find the sum of the finite...Ch. 3.4 - In Problems 1-6, find the sum of the finite...Ch. 3.4 - In Problem 7-14, find i (the rate per period) and...Ch. 3.4 - In Problem 7-14, find i (the rate per period) and...Ch. 3.4 - In Problem 7-14, find i (the rate per period) and...Ch. 3.4 - In Problem 7-14, find i (the rate per period) and...Ch. 3.4 - Prob. 11ECh. 3.4 - In Problems 7-14, find i (the rate per period) and...Ch. 3.4 - In Problem 7-14, find i (the rate per period) and...Ch. 3.4 - In Problem 7-14, find i (the rate per period) and...Ch. 3.4 - In Problems 15-22, use formula 5 or 6 to solve...Ch. 3.4 - In Problems 15-22, use formula 5 or 6 to solve...Ch. 3.4 - In Problems 15-22, use formula 5 or 6 to solve...Ch. 3.4 - In Problems 15-22, use formula 5 or 6 to solve...Ch. 3.4 - In Problems 15-22, use formula 5 or 6 to solve...Ch. 3.4 - In Problems 15-22, use formula 5 or 6 to solve...Ch. 3.4 - In Problems 15-22, use formula 5 or 6 to solve...Ch. 3.4 - In Problems 15-22, use formula 5 or 6 to solve...Ch. 3.4 - Explain what is meant by the present value of an...Ch. 3.4 - Solve the present value formula 5 for n.Ch. 3.4 - Explain how an ordinary annuity is involved when...Ch. 3.4 - Explain why the last payment m an amortization...Ch. 3.4 - American General offers a 10-year ordinary annuity...Ch. 3.4 - American General offers a 7-year ordinary annuity...Ch. 3.4 - E-Loan, an online lending service, offers a 36...Ch. 3.4 - E-Loan offers a 36 -month auto loan at 9.84...Ch. 3.4 - If you buy a computer directly from the...Ch. 3.4 - If you buy a computer directly from the...Ch. 3.4 - In Problems 33-36, assume that no new purchases...Ch. 3.4 - In Problems 33-36, assume that no new purchases...Ch. 3.4 - In Problems 33-36, assume that no new purchases...Ch. 3.4 - In Problems 33-36, assume that no new purchases...Ch. 3.4 - Problems 37 and 38 refer to the following ads. Use...Ch. 3.4 - Problems 37 and 38 refer to the following ads. Use...Ch. 3.4 - You want to purchase an automobile for $27,300....Ch. 3.4 - You want to purchase an automobile for $28,500....Ch. 3.4 - A sailboat costs $35,000. You pay 20 down and...Ch. 3.4 - A recreational vehicle costs $80,000. You pay 10...Ch. 3.4 - Construct the amortization schedule for a $5,000...Ch. 3.4 - Construct the amortization schedule for a $10,000...Ch. 3.4 - A woman borrows $6,000 at 9 compounded monthly,...Ch. 3.4 - A man establishes an annuity for retirement by...Ch. 3.4 - Some friends tell you that they paid $25,000 down...Ch. 3.4 - A family is thinking about buying a new house...Ch. 3.4 - A student receives a federally backed student loan...Ch. 3.4 - A person establishes a sinking fund for retirement...Ch. 3.4 - A family has a 150,000, 30 -year mortgage at 6.1...Ch. 3.4 - A family has a $210,000, 20-year mortgage at 6.75...Ch. 3.4 - A family has a $129,000, 20-year mortgage at 7.2...Ch. 3.4 - At the time they retire, a couple has $200,000 in...Ch. 3.4 - An ordinary annuity that earns 7.5 compounded...Ch. 3.4 - Refer to Problem 55. If the account owner decides...Ch. 3.4 - An ordinary annuity pays 7.44 compounded monthly....Ch. 3.4 - An ordinary annuity pays 6.48 compounded monthly....Ch. 3.4 - A couple wishes to borrow money using the equity...Ch. 3.4 - A person purchased a house 10 years ago for...Ch. 3.4 - A person purchased a $145,000 home 10 years ago by...Ch. 3.4 - A person purchased a $200,000 home 20 years ago by...Ch. 3.4 - Discuss the similarities and differences in the...Ch. 3.4 - Discuss the similarities and differences in the...Ch. 3.4 - In Problems solver 65-68, use graphical...Ch. 3.4 - In Problems solver 65-68, use graphical...Ch. 3.4 - In Problems solver 65-68, use graphical...Ch. 3.4 - In Problems solver 65-68, use graphical...Ch. 3 - In Problems 1-4, find the indicated quantity,...Ch. 3 - In Problems 1-4, find the indicated quantity,...Ch. 3 - In Problems 1-4, find the indicated quantity,...Ch. 3 - In Problems 1-4, find the indicated quantity,...Ch. 3 - In Problems 5 and 6, find the indicated quantity,...Ch. 3 - In Problems 5 and 6, find the indicated quantity,...Ch. 3 - In Problems 7 and 8, find the indicated quantity,...Ch. 3 - In Problems 7 and 8, find the indicated quantity,...Ch. 3 - In Problems 9 and 10, find the indicated quantity,...Ch. 3 - In Problems 9 and 10, find the indicated quantity,...Ch. 3 - In Problems 11 and 12, find the indicated...Ch. 3 - In Problems 11 and 12, find the indicated...Ch. 3 - Solve the equation 2.500=1.0001.06n for n to the...Ch. 3 - Solve the equation 5,000=1001.01n10.01 for n to...Ch. 3 - If you borrow $3,000 at 14 simple interest for 10...Ch. 3 - Grandpa deposited $6,000 into grandchild’s account...Ch. 3 - How much should you pay for a corporate bond...Ch. 3 - An investment account pays 5.4 compounded...Ch. 3 - One investment pays 13 simple interest and another...Ch. 3 - A $10,000 retirement account is left to earn...Ch. 3 - A couple wishes to have $40,000 in 6 years for the...Ch. 3 - Which is the better investment and why: 9...Ch. 3 - What is the value of an ordinary annuity at the...Ch. 3 - Prob. 24RECh. 3 - Prob. 25RECh. 3 - Prob. 26RECh. 3 - A loan of $2,500 was repaid at the end of 10...Ch. 3 - You want to purchase an automobile for $21,600....Ch. 3 - Find the annual percentage yield on a bond earning...Ch. 3 - You have $5,000 toward the purchase of a boat that...Ch. 3 - How long will it take money to double if it is...Ch. 3 - Starting on his 21st birthday, and continuing on...Ch. 3 - If you just sold a stock for $17,388.17 (net) that...Ch. 3 - The table shows the fees for refund anticipation...Ch. 3 - Lincoln Benefit Life offered an annuity that pays...Ch. 3 - A person wants to establish an annuity for...Ch. 3 - If you borrow $4,000 from an online lending firm...Ch. 3 - A company decides to establish a sinking fund to...Ch. 3 - How long will it lake money to double if it is...Ch. 3 - A student receives a student loan for $8,000 at...Ch. 3 - If you invest $5,650 in an account paying 8.65...Ch. 3 - A company makes a payment of $1,200 each month...Ch. 3 - A couple has a $50,000, 20-year mortgage at 9...Ch. 3 - A loan company advertises in the paper that you...Ch. 3 - Construct the amortization schedule for a $1,000...Ch. 3 - You can afford monthly deposits of only $300 into...Ch. 3 - A company establishes a sinking fund for plant...Ch. 3 - Prob. 48RECh. 3 - If you buy a 13-week T-bill with a maturity value...Ch. 3 - In order to save enough money for the down payment...Ch. 3 - A business borrows $80,000 at 9.42 interest...Ch. 3 - You unexpectedly inherit $10,000 just after you...Ch. 3 - Your parents are considering a $75,000, 30-year...Ch. 3 - How much should a $5,000 face value zero coupon...Ch. 3 - If you pay $5,695 for a $10,000 face value zero...Ch. 3 - If an investor wants to earn an annual interest...Ch. 3 - Two years ago you borrowed $10,000 at 12 interest...Ch. 3 - What annual nominal rate compounded monthly has...Ch. 3 - (A) A man deposits $2,000 in an IRA on his 21st...Ch. 3 - A promissory note will pay $27,000 at maturity 10...Ch. 3 - In a new housing development, the houses are...Ch. 3 - A loan company will loan up to 60 of the equity in...Ch. 3 - A $600 stereo is financed for 6 months by making...Ch. 3 - A person deposits $2,000 each year for 25 years...
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- Question 3. We want to price a put option with strike price K and expiration T. Two financial advisors estimate the parameters with two different statistical methods: they obtain the same return rate μ, the same volatility σ, but the first advisor has interest r₁ and the second advisor has interest rate r2 (r1>r2). They both use a CRR model with the same number of periods to price the option. Which advisor will get the larger price? (Explain your answer.)arrow_forwardQuestion 5. We consider a put option with strike price K and expiration T. This option is priced using a 1-period CRR model. We consider r > 0, and σ > 0 very large. What is the approximate price of the option? In other words, what is the limit of the price of the option as σ∞. (Briefly justify your answer.)arrow_forwardQuestion 6. You collect daily data for the stock of a company Z over the past 4 months (i.e. 80 days) and calculate the log-returns (yk)/(-1. You want to build a CRR model for the evolution of the stock. The expected value and standard deviation of the log-returns are y = 0.06 and Sy 0.1. The money market interest rate is r = 0.04. Determine the risk-neutral probability of the model.arrow_forward
- Several markets (Japan, Switzerland) introduced negative interest rates on their money market. In this problem, we will consider an annual interest rate r < 0. We consider a stock modeled by an N-period CRR model where each period is 1 year (At = 1) and the up and down factors are u and d. (a) We consider an American put option with strike price K and expiration T. Prove that if <0, the optimal strategy is to wait until expiration T to exercise.arrow_forwardWe consider an N-period CRR model where each period is 1 year (At = 1), the up factor is u = 0.1, the down factor is d = e−0.3 and r = 0. We remind you that in the CRR model, the stock price at time tn is modeled (under P) by Sta = So exp (μtn + σ√AtZn), where (Zn) is a simple symmetric random walk. (a) Find the parameters μ and σ for the CRR model described above. (b) Find P Ste So 55/50 € > 1). StN (c) Find lim P 804-N (d) Determine q. (You can use e- 1 x.) Ste (e) Find Q So (f) Find lim Q 004-N StN Soarrow_forwardIn this problem, we consider a 3-period stock market model with evolution given in Fig. 1 below. Each period corresponds to one year. The interest rate is r = 0%. 16 22 28 12 16 12 8 4 2 time Figure 1: Stock evolution for Problem 1. (a) A colleague notices that in the model above, a movement up-down leads to the same value as a movement down-up. He concludes that the model is a CRR model. Is your colleague correct? (Explain your answer.) (b) We consider a European put with strike price K = 10 and expiration T = 3 years. Find the price of this option at time 0. Provide the replicating portfolio for the first period. (c) In addition to the call above, we also consider a European call with strike price K = 10 and expiration T = 3 years. Which one has the highest price? (It is not necessary to provide the price of the call.) (d) We now assume a yearly interest rate r = 25%. We consider a Bermudan put option with strike price K = 10. It works like a standard put, but you can exercise it…arrow_forward
- In this problem, we consider a 2-period stock market model with evolution given in Fig. 1 below. Each period corresponds to one year (At = 1). The yearly interest rate is r = 1/3 = 33%. This model is a CRR model. 25 15 9 10 6 4 time Figure 1: Stock evolution for Problem 1. (a) Find the values of up and down factors u and d, and the risk-neutral probability q. (b) We consider a European put with strike price K the price of this option at time 0. == 16 and expiration T = 2 years. Find (c) Provide the number of shares of stock that the replicating portfolio contains at each pos- sible position. (d) You find this option available on the market for $2. What do you do? (Short answer.) (e) We consider an American put with strike price K = 16 and expiration T = 2 years. Find the price of this option at time 0 and describe the optimal exercising strategy. (f) We consider an American call with strike price K ○ = 16 and expiration T = 2 years. Find the price of this option at time 0 and describe…arrow_forwardNo chatgpt pls will upvote Alreadyarrow_forwardFind the LaPla se trnsofrom of a) chi-square Distribution. b) Normal Distribution. C) Gamma Distribution. prove that Binomial (n, 2) Poisson (2) *********************arrow_forward
- 2.2, 13.2-13.3) question: 5 point(s) possible ubmit test The accompanying table contains the data for the amounts (in oz) in cans of a certain soda. The cans are labeled to indicate that the contents are 20 oz of soda. Use the sign test and 0.05 significance level to test the claim that cans of this soda are filled so that the median amount is 20 oz. If the median is not 20 oz, are consumers being cheated? Click the icon to view the data. What are the null and alternative hypotheses? OA. Ho: Medi More Info H₁: Medi OC. Ho: Medi H₁: Medi Volume (in ounces) 20.3 20.1 20.4 Find the test stat 20.1 20.5 20.1 20.1 19.9 20.1 Test statistic = 20.2 20.3 20.3 20.1 20.4 20.5 Find the P-value 19.7 20.2 20.4 20.1 20.2 20.2 P-value= (R 19.9 20.1 20.5 20.4 20.1 20.4 Determine the p 20.1 20.3 20.4 20.2 20.3 20.4 Since the P-valu 19.9 20.2 19.9 Print Done 20 oz 20 oz 20 oz 20 oz ce that the consumers are being cheated.arrow_forwardT Teenage obesity (O), and weekly fast-food meals (F), among some selected Mississippi teenagers are: Name Obesity (lbs) # of Fast-foods per week Josh 185 10 Karl 172 8 Terry 168 9 Kamie Andy 204 154 12 6 (a) Compute the variance of Obesity, s²o, and the variance of fast-food meals, s², of this data. [Must show full work]. (b) Compute the Correlation Coefficient between O and F. [Must show full work]. (c) Find the Coefficient of Determination between O and F. [Must show full work]. (d) Obtain the Regression equation of this data. [Must show full work]. (e) Interpret your answers in (b), (c), and (d). (Full explanations required). Edit View Insert Format Tools Tablearrow_forwardH.w WI M Wz dy A Sindax Sind ①dlmax У тах at 0.75m from A W=6KN/M L=2 W2 = 9 KN/m P= 10 KN Barrow_forward
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