{"id":16083,"date":"2021-04-01T23:57:02","date_gmt":"2021-04-01T23:57:02","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/chapter\/assignment-finance-problem-set\/"},"modified":"2021-07-06T03:04:09","modified_gmt":"2021-07-06T03:04:09","slug":"assignment-finance-problem-set","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/chapter\/assignment-finance-problem-set\/","title":{"raw":"Module 6 Problem Set","rendered":"Module 6 Problem Set"},"content":{"raw":"<h2>Skills<\/h2>\r\n<ol>\r\n \t<li>A friend lends you $200 for a week, which you agree to repay with 5% one-time interest. How much will you have to repay?<\/li>\r\n \t<li>Suppose you obtain a $3,000 T-note with a 3% annual rate, paid quarterly, with maturity in 5 years. How much interest will you earn?<\/li>\r\n \t<li>A T-bill is a type of bond that is sold at a discount over the face value. For example, suppose you buy a 13-week T-bill with a face value of $10,000 for $9,800. This means that in 13 weeks, the government will give you the face value, earning you $200. What annual interest rate have you earned?<\/li>\r\n \t<li>Suppose you are looking to buy a $5000 face value 26-week T-bill. If you want to earn at least 1% annual interest, what is the most you should pay for the T-bill?<\/li>\r\n \t<li>You deposit $300 in an account earning 5% interest compounded annually. How much will you have in the account in 10 years?<\/li>\r\n \t<li>How much will $1000 deposited in an account earning 7% interest compounded annually be worth in 20 years?<\/li>\r\n \t<li>You deposit $2000 in an account earning 3% interest compounded monthly.\r\n<ol style=\"list-style-type: lower-alpha;\">\r\n \t<li>How much will you have in the account in 20 years?<\/li>\r\n \t<li>How much interest will you earn?<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>You deposit $10,000 in an account earning 4% interest compounded monthly.\r\n<ol style=\"list-style-type: lower-alpha;\">\r\n \t<li>How much will you have in the account in 25 years?<\/li>\r\n \t<li>How much interest will you earn?<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>How much would you need to deposit in an account now in order to have $6,000 in the account in 8 years? Assume the account earns 6% interest compounded monthly.<\/li>\r\n \t<li>How much would you need to deposit in an account now in order to have $20,000 in the account in 4 years? Assume the account earns 5% interest.<\/li>\r\n \t<li>You deposit $200 each month into an account earning 3% interest compounded monthly.\r\n<ol style=\"list-style-type: lower-alpha;\">\r\n \t<li>How much will you have in the account in 30 years?<\/li>\r\n \t<li>How much total money will you put into the account?<\/li>\r\n \t<li>How much total interest will you earn?<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>You deposit $1000 each year into an account earning 8% compounded annually.\r\n<ol style=\"list-style-type: lower-alpha;\">\r\n \t<li>How much will you have in the account in 10 years?<\/li>\r\n \t<li>How much total money will you put into the account?<\/li>\r\n \t<li>How much total interest will you earn?<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>Jose has determined he needs to have $800,000 for retirement in 30 years.\u00a0\u00a0 His account earns 6% interest.\r\n<ol style=\"list-style-type: lower-alpha;\">\r\n \t<li>How much would you need to deposit in the account each month?<\/li>\r\n \t<li>How much total money will you put into the account?<\/li>\r\n \t<li>How much total interest will you earn?<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>You wish to have $3000 in 2 years to buy a fancy new stereo system. How much should you deposit each quarter into an account paying 8% compounded quarterly?<\/li>\r\n \t<li>You want to be able to withdraw $30,000 each year for 25 years. Your account earns 8% interest.\r\n<ol style=\"list-style-type: lower-alpha;\">\r\n \t<li>How much do you need in your account at the beginning<\/li>\r\n \t<li>How much total money will you pull out of the account?<\/li>\r\n \t<li>How much of that money is interest?<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>How much money will I need to have at retirement so I can withdraw $60,000 a year for 20 years from an account earning 8% compounded annually?\r\n<ol style=\"list-style-type: lower-alpha;\">\r\n \t<li>How much do you need in your account at the beginning?<\/li>\r\n \t<li>How much total money will you pull out of the account?<\/li>\r\n \t<li>How much of that money is interest?<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>You have $500,000 saved for retirement. Your account earns 6% interest. How much will you be able to pull out each month, if you want to be able to take withdrawals for 20 years?<\/li>\r\n \t<li>Loren already knows that he will have $500,000 when he retires. If he sets up a payout annuity for 30 years in an account paying 10% interest, how much could the annuity provide each month?<\/li>\r\n \t<li>You can afford a $700 per month mortgage payment. You\u2019ve found a 30 year loan at 5% interest.\r\n<ol style=\"list-style-type: lower-alpha;\">\r\n \t<li>How big of a loan can you afford?<\/li>\r\n \t<li>How much total money will you pay the loan company?<\/li>\r\n \t<li>How much of that money is interest?<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>Marie can afford a $250 per month car payment. She\u2019s found a 5 year loan at 7% interest.\r\n<ol style=\"list-style-type: lower-alpha;\">\r\n \t<li>How expensive of a car can she afford?<\/li>\r\n \t<li>How much total money will she pay the loan company?<\/li>\r\n \t<li>How much of that money is interest?<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>You want to buy a $25,000 car. The company is offering a 2% interest rate for 48 months (4 years). What will your monthly payments be?<\/li>\r\n \t<li>You decide to finance a $12,000 car at 3% compounded monthly for 4 years. What will your monthly payments be? How much interest will you pay over the life of the loan?<\/li>\r\n \t<li>You want to buy a $200,000 home. You plan to pay 10% as a down payment, and take out a 30 year loan for the rest.\r\n<ol style=\"list-style-type: lower-alpha;\">\r\n \t<li>How much is the loan amount going to be?<\/li>\r\n \t<li>What will your monthly payments be if the interest rate is 5%?<\/li>\r\n \t<li>What will your monthly payments be if the interest rate is 6%?<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>Lynn bought a $300,000 house, paying 10% down, and financing the rest at 6% interest for 30 years.\r\n<ol style=\"list-style-type: lower-alpha;\">\r\n \t<li>Find her monthly payments.<\/li>\r\n \t<li>How much interest will she pay over the life of the loan?<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>Emile bought a car for $24,000 three years ago. The loan had a 5 year term at 3% interest rate. How much does he still owe on the car?<\/li>\r\n \t<li>A friend bought a house 15 years ago, taking out a $120,000 mortgage at 6% for 30 years. How much does she still owe on the mortgage?<\/li>\r\n<\/ol>","rendered":"<h2>Skills<\/h2>\n<ol>\n<li>A friend lends you $200 for a week, which you agree to repay with 5% one-time interest. How much will you have to repay?<\/li>\n<li>Suppose you obtain a $3,000 T-note with a 3% annual rate, paid quarterly, with maturity in 5 years. How much interest will you earn?<\/li>\n<li>A T-bill is a type of bond that is sold at a discount over the face value. For example, suppose you buy a 13-week T-bill with a face value of $10,000 for $9,800. This means that in 13 weeks, the government will give you the face value, earning you $200. What annual interest rate have you earned?<\/li>\n<li>Suppose you are looking to buy a $5000 face value 26-week T-bill. If you want to earn at least 1% annual interest, what is the most you should pay for the T-bill?<\/li>\n<li>You deposit $300 in an account earning 5% interest compounded annually. How much will you have in the account in 10 years?<\/li>\n<li>How much will $1000 deposited in an account earning 7% interest compounded annually be worth in 20 years?<\/li>\n<li>You deposit $2000 in an account earning 3% interest compounded monthly.\n<ol style=\"list-style-type: lower-alpha;\">\n<li>How much will you have in the account in 20 years?<\/li>\n<li>How much interest will you earn?<\/li>\n<\/ol>\n<\/li>\n<li>You deposit $10,000 in an account earning 4% interest compounded monthly.\n<ol style=\"list-style-type: lower-alpha;\">\n<li>How much will you have in the account in 25 years?<\/li>\n<li>How much interest will you earn?<\/li>\n<\/ol>\n<\/li>\n<li>How much would you need to deposit in an account now in order to have $6,000 in the account in 8 years? Assume the account earns 6% interest compounded monthly.<\/li>\n<li>How much would you need to deposit in an account now in order to have $20,000 in the account in 4 years? Assume the account earns 5% interest.<\/li>\n<li>You deposit $200 each month into an account earning 3% interest compounded monthly.\n<ol style=\"list-style-type: lower-alpha;\">\n<li>How much will you have in the account in 30 years?<\/li>\n<li>How much total money will you put into the account?<\/li>\n<li>How much total interest will you earn?<\/li>\n<\/ol>\n<\/li>\n<li>You deposit $1000 each year into an account earning 8% compounded annually.\n<ol style=\"list-style-type: lower-alpha;\">\n<li>How much will you have in the account in 10 years?<\/li>\n<li>How much total money will you put into the account?<\/li>\n<li>How much total interest will you earn?<\/li>\n<\/ol>\n<\/li>\n<li>Jose has determined he needs to have $800,000 for retirement in 30 years.\u00a0\u00a0 His account earns 6% interest.\n<ol style=\"list-style-type: lower-alpha;\">\n<li>How much would you need to deposit in the account each month?<\/li>\n<li>How much total money will you put into the account?<\/li>\n<li>How much total interest will you earn?<\/li>\n<\/ol>\n<\/li>\n<li>You wish to have $3000 in 2 years to buy a fancy new stereo system. How much should you deposit each quarter into an account paying 8% compounded quarterly?<\/li>\n<li>You want to be able to withdraw $30,000 each year for 25 years. Your account earns 8% interest.\n<ol style=\"list-style-type: lower-alpha;\">\n<li>How much do you need in your account at the beginning<\/li>\n<li>How much total money will you pull out of the account?<\/li>\n<li>How much of that money is interest?<\/li>\n<\/ol>\n<\/li>\n<li>How much money will I need to have at retirement so I can withdraw $60,000 a year for 20 years from an account earning 8% compounded annually?\n<ol style=\"list-style-type: lower-alpha;\">\n<li>How much do you need in your account at the beginning?<\/li>\n<li>How much total money will you pull out of the account?<\/li>\n<li>How much of that money is interest?<\/li>\n<\/ol>\n<\/li>\n<li>You have $500,000 saved for retirement. Your account earns 6% interest. How much will you be able to pull out each month, if you want to be able to take withdrawals for 20 years?<\/li>\n<li>Loren already knows that he will have $500,000 when he retires. If he sets up a payout annuity for 30 years in an account paying 10% interest, how much could the annuity provide each month?<\/li>\n<li>You can afford a $700 per month mortgage payment. You\u2019ve found a 30 year loan at 5% interest.\n<ol style=\"list-style-type: lower-alpha;\">\n<li>How big of a loan can you afford?<\/li>\n<li>How much total money will you pay the loan company?<\/li>\n<li>How much of that money is interest?<\/li>\n<\/ol>\n<\/li>\n<li>Marie can afford a $250 per month car payment. She\u2019s found a 5 year loan at 7% interest.\n<ol style=\"list-style-type: lower-alpha;\">\n<li>How expensive of a car can she afford?<\/li>\n<li>How much total money will she pay the loan company?<\/li>\n<li>How much of that money is interest?<\/li>\n<\/ol>\n<\/li>\n<li>You want to buy a $25,000 car. The company is offering a 2% interest rate for 48 months (4 years). What will your monthly payments be?<\/li>\n<li>You decide to finance a $12,000 car at 3% compounded monthly for 4 years. What will your monthly payments be? How much interest will you pay over the life of the loan?<\/li>\n<li>You want to buy a $200,000 home. You plan to pay 10% as a down payment, and take out a 30 year loan for the rest.\n<ol style=\"list-style-type: lower-alpha;\">\n<li>How much is the loan amount going to be?<\/li>\n<li>What will your monthly payments be if the interest rate is 5%?<\/li>\n<li>What will your monthly payments be if the interest rate is 6%?<\/li>\n<\/ol>\n<\/li>\n<li>Lynn bought a $300,000 house, paying 10% down, and financing the rest at 6% interest for 30 years.\n<ol style=\"list-style-type: lower-alpha;\">\n<li>Find her monthly payments.<\/li>\n<li>How much interest will she pay over the life of the loan?<\/li>\n<\/ol>\n<\/li>\n<li>Emile bought a car for $24,000 three years ago. The loan had a 5 year term at 3% interest rate. How much does he still owe on the car?<\/li>\n<li>A friend bought a house 15 years ago, taking out a $120,000 mortgage at 6% for 30 years. How much does she still owe on the mortgage?<\/li>\n<\/ol>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-16083\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Finance Problem Set. <strong>Authored by<\/strong>: Lippman, David. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/www.opentextbookstore.com\/mathinsociety\/\">http:\/\/www.opentextbookstore.com\/mathinsociety\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":167848,"menu_order":14,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Finance Problem Set\",\"author\":\"Lippman, David\",\"organization\":\"\",\"url\":\"http:\/\/www.opentextbookstore.com\/mathinsociety\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-16083","chapter","type-chapter","status-publish","hentry"],"part":16066,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/wp-json\/pressbooks\/v2\/chapters\/16083","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/wp-json\/wp\/v2\/users\/167848"}],"version-history":[{"count":2,"href":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/wp-json\/pressbooks\/v2\/chapters\/16083\/revisions"}],"predecessor-version":[{"id":16233,"href":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/wp-json\/pressbooks\/v2\/chapters\/16083\/revisions\/16233"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/wp-json\/pressbooks\/v2\/parts\/16066"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/wp-json\/pressbooks\/v2\/chapters\/16083\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/wp-json\/wp\/v2\/media?parent=16083"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/wp-json\/pressbooks\/v2\/chapter-type?post=16083"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/wp-json\/wp\/v2\/contributor?post=16083"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/nwfsc-MGF1107\/wp-json\/wp\/v2\/license?post=16083"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}