Personal Finance 101 I would like to thank you for signing up for Personal Finance 101. I think this is one of the most critical courses you may take in your college career; whether you are a business major or not. We all have hopes and dreams for ourselves and our families. Our dreams must be planned for and somehow paid for. This is true of our first new car; a home; or a college education for our children. This class is designed to help you come to decisions of what is important in your life, set goals and how to wisely spend your hard earned money. We will explore how to set up a budget, manage cash; handle credit cards; buy a car; buy a house; make insurance decisions; buy stocks and bonds; and plan for retirement. This is a lot to accomplish in one semester and will require you to think and work hard. Like almost everything in life, the more you put into this process the more you will get out of it. I would like to thank Chuck Kueny and Melissa Salas for their integral part in arranging this preface. Without them I would not have the student prospective on how to make this book flow the best. I sincerely hope this semester is interesting, thought provoking and fun. Professor Richard Ghidella 1 7612_Book_p001-048.pdf 1 10/22/10 9:16 AM 7612_Book_p001-048.pdf 2 10/22/10 9:16 AM Table of Contents Preface 1 Semester Grade Tracking Sheet 4 Notable Quotes 5 Time Value of Money 6 Future Value of a Dollar 6 Future Value of an Annuity 8 Present Value of a Dollar 10 Present Value of an Annuity 12 Time Value of Money Section Quiz and Review 14 Valuing Bonds Review 17 Time Value of Money Reference Charts 19 Goal Worksheets 23 Income/Expenditure/Balance Sheets 29 Future Income Calculator 33 Financial Plan Outline 42 3 7612_Book_p001-048.pdf 3 10/22/10 9:16 AM Grade Sheet Item Date My Grade Pts Possible Quiz 01 10 Quiz 02 10 Quiz 03 10 Quiz 04 10 Quiz 05 10 Quiz 06 10 Quiz 07 10 Quiz 08 10 Exam 1 100 Quiz 09 10 Quiz 10 10 Quiz 11 10 Quiz 12 10 Quiz 13 10 Quiz 14 10 Quiz 15 10 Quiz 16 10 Quiz 17 10 Video Report 50 Exam 2 100 Exam 3 100 Personal Plan 300 Final Exam 100 Group Presentation 100 Total 950 4 7612_Book_p001-048.pdf 4 10/22/10 9:16 AM Famous and Almost Famous Quotes “The most miraculous formula I ever worked with is compound interest.” —Albert Einstein “Had I have known how money worked I’d be a millionaire today instead of broke.” —Jason Alexander, Citrus College “Time value of money is the basis of all financial decision making. It doesn’t matter whether you’re buying a car or building a billion-dollar manufacturing plant. The decision always reverts back to time value of money.” —Professor Richard Ghidella “Quality is never an accident. It is always the result of high intention, sincere effort, intelligent direction and skillful execution. It represents the wise choice among many alternatives.” —Author Unknown “I wish I would have known all about how money works when I was in high school. I could have started investing long before college. It should be taught in high schools around the country.” —Natalie Franceschi Citrus College 5 7612_Book_p001-048.pdf 5 10/22/10 10:13 AM Future Value of a Dollar The future value of a dollar deals with the amount a lump sum will be worth sometime in the future Say you put $5,000 dollars in the bank for 3 years at an interest rate of 10%. To see how much this money would be worth after 3 years you would use the future value of a dollar chart, and set up a table like the one below. K = interest rate N = the number of years $ is traveling Make a Table: P.V F.V K = 10 N=3 (Money invested) $5000 $6655.50 ⫻ = ——————> 1.33110 After the table is set up you must look at the future value of a dollar chart and find the number that corresponds with the given interest rate and the number of years you are investing your money. Multiply this number by the amount of money being invested each year and you will have the future value of that dollar. 6 7612_Book_p001-048.pdf 6 10/22/10 9:16 AM How much money will you have if you invest the following? 1. $5,000 FOR 3 years at 10%? 2. $5,000 FOR 3 years at 7%? 3. $10,000 FOR 2 years at 12%? 4. $10,000 FOR 2 years at 9%? 5. $3,000 FOR 7 years at 12%? 6. $3,000 FOR 7 years at 5%? 7. $4,000 FOR 30 years at 10%? 8. $4,000 FOR 40 years at 12%? 9. $2,000 FOR 30 years at 8%? 10. $2,000 FOR 30 years at 7%? 7 7612_Book_p001-048.pdf 7 10/22/10 9:16 AM Future Value of an Annuity The future value of an annuity deals with the amount your investments will be worth sometime in the future Say you invest $5,000 every year for 3 years at an interest rate of 10%. You want to see how much this money will be worth after three years K = interest rate N = the number of years $ is traveling Make a Table: P.V F.V K = 10 N=3 (Money invested) $5,000 / / / / / / / / / / $16,550 ⫻ = ———————> 3.3100 After the table is set up you must look at the future value of an annuity chart and find the number that corresponds with the given interest rate and the number of years you are investing your money. Multiply this number by the amount of money being invested each year and you will have the future value of that annuity. 8 7612_Book_p001-048.pdf 8 10/22/10 9:16 AM How much money will you have if you invest the following? 1. $5,000 EACH YEAR FOR 3 years at 10%? 2. $5,000 EACH YEAR FOR 3 years at 7%? 3. $10,000 EACH YEAR FOR 2 years at 12%? 4. $10,000 EACH YEAR FOR 2 years at 9%? 5. $3,000 EACH YEAR FOR 7 years at 12%? 6. $3,000 EACH YEAR FOR 7 years at 5%? 7. $4,000 EACH YEAR FOR 30 years at 10%? 8. $4,000 EACH YEAR FOR 40 years at 12%? 9. $2,000 EACH YEAR FOR 30 years at 8%? 10. $2,000 EACH YEAR FOR 40 years at 7%? 9 7612_Book_p001-048.pdf 9 10/22/10 9:16 AM Present Value of a Dollar Finding the present value of a dollar is taking a lump sum from the future and finding out what it would be worth today Example: You are promised $5,000 in three years. Interest rates are 10%. You want to see how much these payments will be worth today as a lump sum. K = interest rate N = the number of years $ is traveling Make a table: P.V F.V K = 10 N=3 $3756.50 = $5,000 ⫻ <——————————— .7513 (When bringing money back through time you must place it at the end of the table) After the chart is set up you must refer to the present value of a dollar chart and find the number that corresponds with the interest rate and the number of years the money is traveling. Multiply this number by the amount of money being discounted every year and you will have the present value of that dollar. Note: when bringing a dollar back through time, the amount will be less than what you started with. 10 7612_Book_p001-048.pdf 10 10/22/10 9:16 AM What is the Present Value of money in? What is it worth today? 1. $5,000 DISCOUNTED 3 years at 10%? 2. $5,000 DISCOUNTED 3 years at 7%? 3. $10,000 DISCOUNTED 2 years at 12%? 4. $10,000 DISCOUNTED 2 years at 9%? 5. $3,000 DISCOUNTED 7 years at 12%? 6. $3,000 DISCOUNTED 7 years at 5%? 7. $100,000 DISCOUNTED 30 years at 10%? 8. $100,000 DISCOUNTED 40 years at 12%? 9. $1,000,000 DISCOUNTED 30 years at 8%? 10. $1,000,000 DISCOUNTED 40 years at 7%? 11 7612_Book_p001-048.pdf 11 10/22/10 9:16 AM Present Value of an Annuity Finding the present value of an annuity is taking a number of equal payments from the future and finding out what they will be worth today. Example: You have $5,000 dollars promised to you each year for three years. You want to discount the money at 10%. You want to see how much these payments will be worth today as a lump sum. K = the interest rate, N = number of years money is traveling Make a table: P.V F.V K = 10 N=3 $12,434.50 / / / $5,000 = ⫻ <———————— 2.4869 (When bringing money back through time you must place it at the end of the table) After the chart is set up you must go to the present value of an annuity chart and find the number that corresponds with the interest rate and the number of years the money is traveling. Multiply this number by the amount of money being discounted every year and you will have the present value of that annuity. Note: when bringing an annuity back through time, the amount should be less then the sum of all the payments. In this example the sum of all the payments is $15,000. 12 7612_Book_p001-048.pdf 12 10/22/10 9:16 AM How much is the following Annuity worth? 1. $5,000 EACH YEAR DISCOUNTED 3 years at 10%? 2. $5,000 EACH YEAR DISCOUNTED 3 years at 7%? 3. $10,000 EACH YEAR DISCOUNTED 2 years at 12%? 4. $10,000 EACH YEAR DISCOUNTED 2 years at 9%? 5. $3,000 EACH YEAR DISCOUNTED 7 years at 12%? 6. $3,000 EACH YEAR DISCOUNTED 7 years at 5%? 7. $4,000 EACH YEAR DISCOUNTED 20 years at 10%? 8. $4,000 EACH YEAR DISCOUNTED 30 years at 12%? 9. $2,000 EACH YEAR DISCOUNTED 20 years at 10%? 10. $2,000 EACH YEAR DISCOUNTED 30 years at 12%? 13 7612_Book_p001-048.pdf 13 10/22/10 9:16 AM Quiz 1. You invest $5,000 in Account A FOR 10 years and earn 10% return. You invest $3,000 in Account B FOR 10 years at 8%. How much do you have in 10 years in total? 2. You invest $25,000 for 10 years at 8%. You open a second account and invest $3,000 each year for 10 years at 10%. How much do you have in total? 3. You are offered $100,000 in 10 years. a. Using a discount rate of 8% what is it worth today? b. Using a discount rate of 10% what is it worth today? 4. What is the value of an annuity that will pay you $5,000 each year for 30 years at a discount rate of 6%? What is the value of the annuity if you use a 12% discount rate? 14 7612_Book_p001-048.pdf 14 10/22/10 9:16 AM In-Class Review 1. Your Uncle Scooter wants you to invest in his pie shop. He wants only $15,000 and will pay you back in 8 years. Knowing the wheels fell off his last venture you demand 14% return. How much does Scooter need to pay you in 8 years? 2. Uncle Scooter says you have a screw loose, but will give you $11,000 in 8 years. What is the present value of the offer? K = 14 3. You explain the present value to your Uncle Scooter who is perplexed (not uncommon for Scooter). Scooter adds 2 pies a week to the $11,000 deal for 8 years. The pies are worth $10.50 each and you want the pies. What is the new present value? K=14 4. Scooter takes on a partner who is a part-time finance instructor, smart, and is good looking. Because of this you reduce your return requirement from 14% to 10%. Use the needed data from question 3 and determine the present value. 15 7612_Book_p001-048.pdf 15 10/22/10 9:16 AM In-Class Review # 2 TIME FOR SOME HARD STUFF! 1. You have $30,000 in an IRA that will earn 14% into the future. Your 401K has a $35,000 balance and you add $4,500 per year and it will earn 12%. You have two Zero coupon bonds with a current return of 8% maturing in 25 years with a face value of $25,000 for each bond. After maturing, you will invest the balance of the Zero’s at 5% until you retire. How much money do you have in 30 years? 2. Using the answer from question 1, answer the following question. You want to retire in 30 years and be retired for 20 years. All investments will earn 10% in retirement. How much will you be able to withdraw each year in retirement? 3. How much do you need to deposit each year in a retirement plan if you plan to retire in 30 years, be retired for 25 years and want $125,000 in retirement income? K = 12 before retirement and K = 10 after retirement? 16 7612_Book_p001-048.pdf 16 10/22/10 9:16 AM Valuing Bonds When valuing bonds you need four pieces of information: 1. Bonds Face Value 2. Maturity Date 3. Coupon Rate 4. The interest rate in the current market environment Valuing a Bond takes 2 steps: 1. Use PVA to discount the interest payments 2. Use PV$ to value the return of principle. Example: You have a bond with a face value of $10,000; a coupon rate of 8%; maturity date is 20 years from today and the current rate environment is 10%. Solve as follows: $10,000 ⫻ .08 (coupon rate) = $800 interest payment per year Use the interest rate of the current environment in the present value equations. $10,000 ⫻ PV$ K = 10 N = 20 (.1486) = $1,486 $800 ⫻ PVA K = 10 N = 20 (8.5136) = $6,811 Bond Value = $8,297 17 7612_Book_p001-048.pdf 17 10/22/10 9:16 AM Solve the Value of the Following Bonds A bond with a face value of $25,000; Coupon rate of 10% maturing in 30 years. What is the value of the bond in a . . . 1a) 5% rate environment = 1b) 8% rate environment = 1c) 12% rate environment = A bond with a face value of $100,000; Coupon rate of 7% maturing in 10 years. What is the value of the bond in a . . . 2a) 6% rate environment = 2b) 9% rate environment = 2c) 10% rate environment = 18 7612_Book_p001-048.pdf 18 10/22/10 9:16 AM 19 7612_Book_p001-048.pdf 19 10/22/10 9:16 AM 1% 0.9901 0.9803 0.9706 0.9610 0.9515 0.9420 0.9327 0.9235 0.9143 0.9053 0.8613 0.8195 0.7798 0.7419 0.7059 0.6717 0.6391 0.6080 0.5785 Period 1 2 3 4 5 6 7 8 9 10 15 20 25 30 35 40 45 50 55 0.9804 0.9612 0.9423 0.9238 0.9057 0.8880 0.8706 0.8535 0.8368 0.8203 0.7430 0.6730 0.6095 0.5521 0.5000 0.4529 0.4102 0.3715 0.3365 2% 1 (l + i)N 0.9709 0.9426 0.9151 0.8885 0.8626 0.8375 0.8131 0.7894 0.7664 0.7441 0.6419 0.5537 0.4776 0.4120 0.3554 0.3066 0.2644 0.2281 0.1968 3% 0.9615 0.9246 0.8890 0.8548 0.8219 0.7903 0.7599 0.7307 0.7026 0.6756 0.5553 0.4564 0.3751 0.3083 0.2534 0.2083 0.1712 0.1407 0.1157 4% 0.9524 0.9070 0.8638 0.8227 0.7835 0.7462 0.7107 0.6768 0.6446 0.6139 0.4810 0.3769 0.2953 0.2314 0.1813 0.1420 0.1113 0.0872 0.0683 5% 0.9434 0.8900 0.8396 0.7921 0.7473 0.7050 0.6651 0.6274 0.5919 0.5584 0.4173 0.3118 0.2330 0.1741 0.1301 0.0972 0.0727 0.0543 0.0406 6% Present Value of $1 at the End of n Periods Equation: PVIFLN = Table A–1 0.9346 0.8734 0.8163 0.7629 0.7130 0.6663 0.6227 0.5820 0.5439 0.5083 0.3624 0.2584 0.1842 0.1314 0.0937 0.0668 0.0476 0.0339 0.0242 7% 0.9259 0.8573 0.7938 0.7350 0.6806 0.6302 0.5835 0.5403 0.5002 0.4632 0.3152 0.2145 0.1460 0.0994 0.0676 0.0460 0.0313 0.0213 0.0145 8% 0.9174 0.8417 0.7722 0.7084 0.6499 0.5963 0.5470 0.5019 0.4604 0.4224 0.2745 0.1784 0.1160 0.0754 0.0490 0.0318 0.0207 0.0134 0.0087 9% n N 0.9091 0.8264 0.7513 0.6830 0.6209 0.5645 0.5132 0.4665 0.4241 0.3855 0.2394 0.1486 0.0923 0.0573 0.0356 0.0221 0.0137 0.0085 0.0053 10% i I 0.8929 0.7972 0.7118 0.6355 0.5674 0.5066 0.4523 0.4039 0.3606 0.3220 0.1826 0.1037 0.0588 0.0334 0.0189 0.0107 0.0061 0.0035 0.0020 12% 14% o PMT 0.8772 0.7695 0.6750 0.5921 0.5194 0.4556 0.3996 0.3506 0.3075 0.2697 0.1401 0.0728 0.0379 0.0196 0.0102 0.0053 0.0027 0.0014 0.0007 Table Value PV Financial Calculator Keys 0.8696 0.7561 0.6575 0.5718 0.4972 0.4323 0.3759 0.3269 0.2843 0.2472 0.1229 0.0611 0.0304 0.0151 0.0075 0.0037 0.0019 0.0009 0.0005 15% 1.0 FV 20 7612_Book_p001-048.pdf 20 10/22/10 9:16 AM 1 2 3 4 5 6 7 8 9 10 15 20 25 30 35 40 45 50 55 0.9901 1.9704 2.9410 3.9020 4.8534 5.7955 6.7282 7.6517 8.5660 9.4713 13.8651 18.0456 22.0232 25.8077 29.4086 32.8347 36.0945 39.1961 42.1472 Number of Periods 1% 0.9804 1.9416 2.8839 3.8077 4.7135 5.6014 6.4720 7.3255 8.1622 8.9826 12.8493 16.3514 19.5235 22.3965 24.9986 27.3555 29.4902 31.4236 33.1748 2% n 0.9709 1.9135 2.8286 3.7171 4.5797 5.4172 6.2303 7.0197 7.7861 8.5302 11.9379 14.8775 17.4131 19.6004 21.4872 23.1148 24.5187 25.7298 26.7744 3% 0.9615 1.8861 2.7751 3.6299 4.4518 5.2421 6.0021 6.7327 7.4353 8.1109 11.1184 13.5903 15.6221 17.2920 18.6646 19.7928 20.7200 21.4822 22.1086 4% 0.9524 1.8594 2.7232 3.5460 4.3295 5.0757 5.7864 6.4632 7.1078 7.7217 10.3797 12.4622 14.0939 15.3725 16.3742 17.1591 17.7741 18.2559 18.6335 5% 0.9434 1.8334 2.6730 3.4651 4.2124 4.9173 5.5824 6.2098 6.8017 7.3601 9.7122 11.4699 12.7834 13.7648 14.4982 15.0463 15.4558 15.7619 15.9905 6% 0.9346 1.8080 2.6243 3.3872 4.1002 4.7665 5.3893 5.9713 6.5152 7.0236 9.1097 10.5940 11.6536 12.4090 12.9477 13.3317 13.6055 13.8007 13.9399 7% 8% 0.9259 1.7833 2.5771 3.3121 3.9927 4.6229 5.2064 5.7466 6.2469 6.7101 8.5595 9.8181 10.6748 11.2578 11.6546 11.9246 12.1084 12.2335 12.3186 Present Value of an Annutiy of $1 per Period for n Periods I Equation: PVIF LN= ⌺ 1 = 1 - (I+i)n = I - I ii (I + i)I i i i(I + i)n Table A–2 0.9174 1.7591 2.5313 3.2397 3.8897 4.4859 5.0330 5.5348 5.9942 6.4177 8.0607 9.1285 9.8226 10.2737 10.5668 10.7574 10.8812 10.9617 11.0140 9% n N 0.9091 1.7355 2.4869 3.1699 3.7908 4.3553 4.8684 5.3349 5.7590 6.1446 7.6061 8.5136 9.0770 9.4269 9.6442 9.7791 9.8628 9.9148 9.9471 10% i I 0.8929 1.6901 2.4018 3.0373 3.6048 4.1114 4.5638 4.9676 5.3282 5.6502 6.8109 7.4694 7.8431 8.0552 8.1755 8.2438 8.2825 8.3045 8.3170 12% 14% o PMT 0.8772 1.6467 2.3216 2.9137 3.4331 3.8887 4.2883 4.6389 4.9464 5.2161 6.1422 6.6231 6.8729 7.0027 7.0700 7.1050 7.1232 7.1327 7.1376 Table Value PV Financial Calculator Keys 0.8696 1.6257 2.2832 2.8550 3.3522 3.7845 4.1604 4.4873 4.7716 5.0188 5.8474 6.2593 6.4641 6.5660 6.6166 6.6418 6.6543 6.6605 6.6636 15% 1.0 FV 21 7612_Book_p001-048.pdf 21 10/22/10 9:16 AM 1% 1.0100 1.0201 1.0303 1.0406 1.0510 1.0615 1.0721 1.0829 1.0937 1.1046 1.1610 1.2202 1.2824 1.3478 1.4889 1.6446 1.8167 Period 1 2 3 4 5 6 7 8 9 10 15 20 25 30 40 50 60 1.0200 1.0404 1.0612 1.0824 1.1041 1.1262 1.1487 1.1717 1.1951 1.2190 1.3459 1.4859 1.6406 1.8114 2.2080 2.6916 3.2810 2% 1.0300 1.0609 1.0927 1.1255 1.1593 1.1941 1.2299 1.2668 1.3048 1.3439 1.5580 1.8061 2.0938 2.4273 3.2620 4.3839 5.8916 3% 1.0400 1.0816 1.1249 1.1699 1.2167 1.2653 1.3159 1.3686 1.4233 1.4802 1.8009 2.1911 2.6658 3.2434 4.8010 7.1067 10.520 4% 1.0500 1.1025 1.1576 1.2155 1.2763 1.3401 1.4071 1.4775 1.5513 1.6289 2.0789 2.6533 3.3864 4.3219 7.0400 11.467 18.679 5% 6% 1.0600 1.1236 1.1910 1.2625 1.3382 1.4185 1.5036 1.5938 1.6895 1.7908 2.3966 3.2071 4.2919 5.7435 10.286 18.420 32.988 Future Value of $1 at the End of n Periods Equation: PVIFLN = (I + i)n Table A–3 1.0700 1.1449 1.2250 1.3108 1.4026 1.5007 1.6058 1.7182 1.8385 1.9672 2.7590 3.8697 5.4274 7.6123 14.974 29.457 57.946 7% 1.0800 1.1664 1.2597 1.3605 1.4693 1.5869 1.7138 1.8509 1.9990 2.1589 3.1722 4.6610 6.8485 10.063 21.725 46.902 101.26 8% 1.0900 1.1881 1.2950 1.4116 1.5386 1.6771 1.8280 1.9926 2.1719 2.3674 3.6425 5.6044 8.6231 13.268 31.409 74.358 176.03 9% n N 1.1000 1.2100 1.3310 1.4641 1.6105 1.7716 1.9487 2.1436 2.3579 2.5937 4.1772 6.7275 10.835 17.449 45.259 117.39 304.48 10% i I 1.1200 1.2544 1.4049 1.5735 1.7623 1.9738 2.2107 2.4760 2.7731 3.1058 5.4736 9.6463 17.000 29.960 93.051 289.00 897.60 12% 14% o PMT 1.1400 1.2996 1.4815 1.6890 1.9254 2.1950 2.5023 2.8526 3.2519 3.7072 7.1379 13.743 26.462 50.950 188.88 700.23 2595.9 Table Value PV Financial Calculator Keys 1.1500 1.3225 1.5209 1.7490 2.0114 2.3131 2.6600 3.0590 3.5179 4.0456 8.1371 16.367 32.919 66.212 267.86 1083.7 4384.0 15% 1.0 FV 22 7612_Book_p001-048.pdf 22 10/22/10 9:16 AM n 1 2 3 4 5 6 7 8 9 10 15 20 25 30 40 50 60 1.0000 2.0100 3.0301 4.0604 5.1010 6.1520 7.2135 8.2857 9.3685 10.462 16.097 22.019 28.243 34.785 48.886 64.463 81.670 Number of Periods 1% 1.0000 2.0200 3.0604 4.1216 5.2040 6.3081 7.4343 8.5830 9.7546 10.950 17.293 24.297 32.030 40.568 60.402 84.579 114.05 2% 1.0000 2.0300 3.0909 4.1836 5.3091 6.4684 7.6625 8.8923 10.159 11.464 18.599 26.870 36.459 47.575 75.401 112.80 163.05 3% 1.0000 2.0400 3.1216 4.2465 5.4163 6.6330 7.8983 9.2142 10.583 12.006 20.024 29.778 41.646 56.085 95.026 152.67 237.99 4% 1.0000 2.0500 3.1525 4.3101 5.5256 6.8019 8.1420 9.5491 11.027 12.578 21.579 33.066 47.727 66.439 120.80 209.35 353.58 5% 1.0000 2.0600 3.1836 4.3746 5.6371 6.9753 8.3938 9.8975 11.491 13.181 23.276 36.786 54.865 79.058 154.76 290.34 533.13 6% 1.0000 2.0700 3.2149 4.4399 5.7507 7.1533 8.6540 10.260 11.978 13.816 25.129 40.995 63.249 94.461 199.64 406.53 813.52 7% Future Value of an Annuity of $1 per Period for n Periods Equation: PVIF LN = ⌺ (I+i)n-I = (I+i)n-I I=i i Table A–4 1.0000 2.0800 3.2464 4.5061 5.8666 7.3359 8.9228 10.637 12.488 14.487 27.152 45.762 73.106 113.28 259.06 573.77 1253.2 8% 1.0000 2.0900 3.2781 4.5731 5.9847 7.5233 9.2004 11.028 13.021 15.193 29.361 51.160 84.701 136.31 337.88 815.08 1944.8 9% n N 1.0000 2.1000 3.3100 4.6410 6.1051 7.7156 9.4872 11.436 13.579 15.937 31.772 57.275 98.347 164.49 442.59 1163.9 3034.8 10% i I 1.0000 2.1200 3.3744 4.7793 6.3528 8.1152 10.089 12.300 14.776 17.549 37.280 72.052 133.33 241.33 767.09 2400.0 7471.6 12% 14% o PMT 1.0000 2.1400 3.4396 4.9211 6.6101 8.5355 10.730 13.233 16.085 19.337 43.842 91.025 181.87 356.79 1342.0 4994.5 18535 Table Value PV Financial Calculator Keys 1.0000 2.1500 3.5056 4.9934 6.7424 8.7537 11.067 13.727 16.786 20.304 47.580 102.44 212.79 434.75 1779.1 7217.7 29220 15% 1.0 FV Goals “We all have dreams and somewhere along the line we need to turn that dream into a goal. I say it all the time, ‘A goal is a dream with a deadline.’” —Arte Moreno (Owner of the Anaheim Angels) You need to develop 50 goals. Your goals need to be broken down into five categories: Career (job), Religious/community, Education, Family, and Personal goals. It is easier to do the goals in bullet form and they should be a mix of both short (less than a year); intermediate (1–5 years) and long term goals (over 5 years). You can have more than 10 goals in one area and less in others. Each section must have at least 4 goals. Your goals need to be specific and time-driven! • I want to pay down my credit cards. This is a bad goal because it is not specific or time driven. Instead, a good goal would be to say . . . • I want to pay my credit card balance down to $5,000 by the end of the year and pay off the entire balance in 18 months. 23 7612_Book_p001-048.pdf 23 10/22/10 9:17 AM Career Example: Intern somewhere next semester This goal is not specific enough. Be more specific in terms of when and in what particular field. Intern this spring semester at an advertising company. This is more appropriate because now it is clear when you plan on doing this and it more clearly states in what field you will be interning. 1. ________________________________________________________________ 2. ________________________________________________________________ 3. ________________________________________________________________ 4. ________________________________________________________________ 5. ________________________________________________________________ 6. ________________________________________________________________ 7. ________________________________________________________________ 8. ________________________________________________________________ 9. ________________________________________________________________ 10. ________________________________________________________________ 24 7612_Book_p001-048.pdf 24 10/22/10 10:13 AM Community/Religious * You are not required to have religious goals but you are required to have community goals Example: Contribute to a charity This goal is not specific enough. It needs to be more specific in terms of time and amount of money you will be contributing. Contribute $25 each month to the “Food For The Poor” program in the city of Azusa. This is more appropriate because now it is clear how much you plan on contributing, how often, and to which charity. 11. ________________________________________________________________ 12. ________________________________________________________________ 13. ________________________________________________________________ 14. ________________________________________________________________ 15. ________________________________________________________________ 16. ________________________________________________________________ 17. ________________________________________________________________ 18. ________________________________________________________________ 19. ________________________________________________________________ 20. ________________________________________________________________ 25 7612_Book_p001-048.pdf 25 10/22/10 9:16 AM Educational Example: To earn a degree This goal is not specific enough. It needs to be more specific and time driven. To earn my bachelor’s degree in business by 2014 from Cal State Fullerton. This is more appropriate because now it is clear what the major is, what degree you plan on receiving, what school you plan on attending, and when you plan on achieving this goal. 21. ________________________________________________________________ 22. ________________________________________________________________ 23. ________________________________________________________________ 24. ________________________________________________________________ 25. ________________________________________________________________ 26. ________________________________________________________________ 27. ________________________________________________________________ 28. ________________________________________________________________ 29. ________________________________________________________________ 30. ________________________________________________________________ 26 7612_Book_p001-048.pdf 26 10/22/10 9:16 AM Family Example: Take an extra family trip This goal is not specific enough. Be more specific in terms of when, how long, and how much are you willing spend. Take a family trip during the summer to Big Bear for one week. Spend $1000 maximum. This is more appropriate because now it is clear when you plan on taking the trip, location, how long it will be, and the maximum amount you are willing to spend during the trip. 31. ________________________________________________________________ 32. ________________________________________________________________ 33. ________________________________________________________________ 34. ________________________________________________________________ 35. ________________________________________________________________ 36. ________________________________________________________________ 37. ________________________________________________________________ 38. ________________________________________________________________ 39. ________________________________________________________________ 40. ________________________________________________________________ 27 7612_Book_p001-048.pdf 27 10/22/10 10:13 AM Personal Example: Read a Book This goal is not specific enough. Be more specific in terms of time and cost. Spend half an hour each night during the week reading a book from my book list. This is more appropriate because now it is clear how much reading you plan on during the week and what books you plan on reading. 41. ________________________________________________________________ 42. ________________________________________________________________ 43. ________________________________________________________________ 44. ________________________________________________________________ 45. ________________________________________________________________ 46. ________________________________________________________________ 47. ________________________________________________________________ 48. ________________________________________________________________ 49. ________________________________________________________________ 50. ________________________________________________________________ 28 7612_Book_p001-048.pdf 28 10/22/10 10:13 AM Current Month Due Date ___________ INCOME AND EXPENDITURES STATEMENT Name(s) Joe Student For the Month of Sept. 2005 INCOME Wages and salaries Self-employment income Bonuses and commissions Pensions and annuities Investment income Ending O 2005 Name: Bulldog Gym (Personal Trainer) Name: Name: $ 1,2075.00 $ 1,2075.00 Interest received Dividends received Rents received Sale of securities Other Other income (I) Total Income EXPENDITURES Housing Utilities Food Autos Medical Clothing Insurance Taxes (net income) Appliances, furniture, and other major purchases Personal care Recreation and entertainment Other items Rent/mortgage payment (include Insurance and taxes, if applicable) Repairs, maintenance, improvements Gas, electric, water Phone Cable TV and other Groceries Dining out Loan payments License plates, fees, etc. Gas, oil, repairs, tires, maintenance Health, major medical, disability insurance (payroll deductions or not provided by employer) Doctor, dentist, hospital, medicines Clothes, shoes, and accessories Homeowner’s (if not covered by mortgage payment) Life (not provided by employer) Auto Income and social security Property (if not Included in mortgage) Loan payments Purchases and repairs Laundry, cosmetics, hair care Vacations Other recreation and entertainment Gym Member ip $ Paid by Parents* 95.44 40.00 Paid by Parents* 100.00 Paid by Parents† 200.00 38.00 27.00 Paid by Parents* 522.46 137.00 61.00 60.00 (II) Total Expenditures $ 758.44 CASH SURPLUS (OR DEFICIT) [(I) – (II)] $ +516.56 29 7612_Book_p001-048.pdf 29 10/22/10 9:16 AM Current Month Due Date ___________ BALANCE SHEET Name(s) Joe Student Dated ASSETS LIABILITIES AND NET WORTH Liquid Assets (Selling Co s) Cash on hand $320.00 In checking 970.73 Savings accounts 678.46 Money market N/A funds and deposits Certificates of deposit N/A (<1 yr. to maturity) Total Liquid Assets $1,969.19 Investments Stocks Bonds Certificates of deposit (>1 yr. to maturity) Mutual funds 09/05 Current Liabilities Utilities Rent Insurance premiums Taxes Medical/dental bills Repair bills Bank credit card balances Dept. store credit card balances Travel and entertainment card balances Gas and other credit card balances Bank line of credit balances Other current liabilities $ Paid by Parents* 1,108.14 4,822.75 2,408.37 5,000 Total current Liabilities Real estate Retirement funds, IRA Other Total Investments 200.00 $5,200.00 Real Property Primary residence Second home Other Total Real Property Personal Property Auto(s): Auto(s): Recreational vehicles Household furnishings Jewelry and artwork Other Other Total Personal Property (I) Total Assets Long-Term Liabilities Primary residence mortgage Second home mortgage Real estate investment mortgage Auto loans Appliance/furniture loans Home Improvement loans Single-payment loans Educational loans Other long-term loans $ Paid by Parents+ $8,339.26 13,027.41 Total Long-Term Liabilities $7,169.19 $13,027.41 (II) Total Liabilities $ 21,366.67 Net Worth [(I) – (II)] $ -14,197.48 Total Liabilities and Net Worth $ 7,169.19 30 7612_Book_p001-048.pdf 30 10/22/10 9:16 AM Current Month Due Date ___________ INCOME AND EXPENDITURES STATEMENT Name(s) For the INCOME Wages and salaries Self-employment income Bonuses and commissions Pensions and annuities Investment income Ending Name: Name: Name: $ Interest received Dividends received Rents received Sale of securities Other Other income (I) Total Income $ EXPENDITURES Housing Utilities Food Autos Medical Clothing Insurance Taxes Appliances, furniture, and other major purchases Personal care Recreation and entertainment Rent/mortgage payment (include Insurance and taxes, if applicable) Repairs, maintenance, improvements Gas, electric, water Phone Cable TV and other Groceries Dining out Loan payments License plates, fees, etc. Gas, oil, repairs, tires, maintenance Health, major medical, disability insurance (payroll deductions or not provided by employer) Doctor, dentist, hospital, medicines Clothes, shoes, and accessories Homeowner’s (if not covered by mortgage payment) Life (not provided by employer) Auto Income and social security Property (if not Included in mortgage) Loan payments Purchases and repairs Laundry, cosmetics, hair care Vacations Other recreation and entertainment Other items (II) Total Expenditures $ CASH SURPLUS (OR DEFICIT) [(I) – (II)] $ 31 7612_Book_p001-048.pdf 31 10/22/10 9:16 AM Current Month Due Date ___________ BALANCE SHEET Name(s) Dated ASSETS Liquid Assets Cash on hand In checking Savings accounts Money market funds and deposits Certificates of deposit (<1 yr. to maturity) Total Liquid Assets LIABILITIES AND NET WORTH $ $ Investments Stocks Bonds Certificates of deposit (>1 yr. to maturity) Mutual funds Current Liabilities Utilities Rent Insurance premiums Taxes Medical/dental bills Repair bills Bank credit card balances Dept. store credit card balances Travel and entertainment card balances Gas and other credit card balances Bank line of credit balances Other current liabilities $ Total current Liabilities Real estate Retirement funds, IRA Other Total Investments $ Real Property Primary residence Second home Other Total Real Property Personal Property Auto(s): Auto(s): Recreational vehicles Household furnishings Jewelry and artwork Other Other Total Personal Property Auto loans Appliance/furniture loans Home Improvement loans Single-payment loans Educational loans Other long-term loans $ (I) Total Assets Long-Term Liabilities Primary residence mortgage Second home mortgage Real estate investment mortgage Total Long-Term Liabilities $ $ (II) Total Liabilities $ Net Worth [(I) – (II)] $ Total Liabilities and Net Worth $ 32 7612_Book_p001-048.pdf 32 10/22/10 9:16 AM Calculating Future Income How do I know how much I will make in 1, 3, and 5 years, or retirement? If you are a full-time student and don’t know how much your career will pay, go to the Transfer Center. You don’t know what career you want? You must pick one. You must pick a career and use that career to project income. To project income use FV$. If you make $25,000 today and feel you will get a 4% raise each year over the next 3 years . . . $25,000 ⫻ FV$ (K = 4, N = 3) 1.1249 = $28,123 Your projected income 3 years from now is $28,123. 33 7612_Book_p001-048.pdf 33 10/22/10 9:16 AM 1 Year From Today Due Date ___________ INCOME AND EXPENDITURES STATEMENT Name(s) For the INCOME Wages and salaries Self-employment income Bonuses and commissions Pensions and annuities Investment income Ending Name: Name: Name: $ Interest received Dividends received Rents received Sale of securities Other Other income (I) Total Income $ EXPENDITURES Housing Utilities Food Autos Medical Clothing Insurance Taxes Appliances, furniture, and other major purchases Personal care Recreation and entertainment Rent/mortgage payment (include Insurance and taxes, if applicable) Repairs, maintenance, improvements Gas, electric, water Phone Cable TV and other Groceries Dining out Loan payments License plates, fees, etc. Gas, oil, repairs, tires, maintenance Health, major medical, disability insurance (payroll deductions or not provided by employer) Doctor, dentist, hospital, medicines Clothes, shoes, and accessories Homeowner’s (if not covered by mortgage payment) Life (not provided by employer) Auto Income and social security Property (if not Included in mortgage) Loan payments Purchases and repairs Laundry, cosmetics, hair care Vacations Other recreation and entertainment Other items (II) Total Expenditures $ CASH SURPLUS (OR DEFICIT) [(I) – (II)] $ 34 7612_Book_p001-048.pdf 34 10/22/10 9:16 AM 1 Year From Today Due Date ___________ BALANCE SHEET Name(s) Dated ASSETS Liquid Assets Cash on hand In checking Savings accounts Money market funds and deposits Certificates of deposit (<1 yr. to maturity) Total Liquid Assets LIABILITIES AND NET WORTH $ $ Investments Stocks Bonds Certificates of deposit (>1 yr. to maturity) Mutual funds Current Liabilities Utilities Rent Insurance premiums Taxes Medical/dental bills Repair bills Bank credit card balances Dept. store credit card balances Travel and entertainment card balances Gas and other credit card balances Bank line of credit balances Other current liabilities $ Total current Liabilities Real estate Retirement funds, IRA Other Total Investments $ Real Property Primary residence Second home Other Total Real Property Personal Property Auto(s): Auto(s): Recreational vehicles Household furnishings Jewelry and artwork Other Other Total Personal Property Auto loans Appliance/furniture loans Home Improvement loans Single-payment loans Educational loans Other long-term loans $ (I) Total Assets Long-Term Liabilities Primary residence mortgage Second home mortgage Real estate investment mortgage Total Long-Term Liabilities $ $ (II) Total Liabilities $ Net Worth [(I) – (II)] $ Total Liabilities and Net Worth $ 35 7612_Book_p001-048.pdf 35 10/22/10 9:16 AM 3 Years From Today Due Date ___________ INCOME AND EXPENDITURES STATEMENT Name(s) For the INCOME Wages and salaries Self-employment income Bonuses and commissions Pensions and annuities Investment income Ending Name: Name: Name: $ Interest received Dividends received Rents received Sale of securities Other Other income (I) Total Income $ EXPENDITURES Housing Utilities Food Autos Medical Clothing Insurance Taxes Appliances, furniture, and other major purchases Personal care Recreation and entertainment Rent/mortgage payment (include Insurance and taxes, if applicable) Repairs, maintenance, improvements Gas, electric, water Phone Cable TV and other Groceries Dining out Loan payments License plates, fees, etc. Gas, oil, repairs, tires, maintenance Health, major medical, disability insurance (payroll deductions or not provided by employer) Doctor, dentist, hospital, medicines Clothes, shoes, and accessories Homeowner’s (if not covered by mortgage payment) Life (not provided by employer) Auto Income and social security Property (if not Included in mortgage) Loan payments Purchases and repairs Laundry, cosmetics, hair care Vacations Other recreation and entertainment Other items (II) Total Expenditures $ CASH SURPLUS (OR DEFICIT) [(I) – (II)] $ 36 7612_Book_p001-048.pdf 36 10/22/10 9:16 AM 3 Years From Today Due Date ___________ BALANCE SHEET Name(s) Dated ASSETS Liquid Assets Cash on hand In checking Savings accounts Money market funds and deposits Certificates of deposit (<1 yr. to maturity) Total Liquid Assets LIABILITIES AND NET WORTH $ $ Investments Stocks Bonds Certificates of deposit (>1 yr. to maturity) Mutual funds Current Liabilities Utilities Rent Insurance premiums Taxes Medical/dental bills Repair bills Bank credit card balances Dept. store credit card balances Travel and entertainment card balances Gas and other credit card balances Bank line of credit balances Other current liabilities $ Total current Liabilities Real estate Retirement funds, IRA Other Total Investments $ Real Property Primary residence Second home Other Total Real Property Personal Property Auto(s): Auto(s): Recreational vehicles Household furnishings Jewelry and artwork Other Other Total Personal Property Auto loans Appliance/furniture loans Home Improvement loans Single-payment loans Educational loans Other long-term loans $ (I) Total Assets Long-Term Liabilities Primary residence mortgage Second home mortgage Real estate investment mortgage Total Long-Term Liabilities $ $ (II) Total Liabilities $ Net Worth [(I) – (II)] $ Total Liabilities and Net Worth $ 37 7612_Book_p001-048.pdf 37 10/22/10 9:16 AM 5 Years From Today Due Date ___________ INCOME AND EXPENDITURES STATEMENT Name(s) For the INCOME Wages and salaries Self-employment income Bonuses and commissions Pensions and annuities Investment income Ending Name: Name: Name: $ Interest received Dividends received Rents received Sale of securities Other Other income (I) Total Income $ EXPENDITURES Housing Utilities Food Autos Medical Clothing Insurance Taxes Appliances, furniture, and other major purchases Personal care Recreation and entertainment Rent/mortgage payment (include Insurance and taxes, if applicable) Repairs, maintenance, improvements Gas, electric, water Phone Cable TV and other Groceries Dining out Loan payments License plates, fees, etc. Gas, oil, repairs, tires, maintenance Health, major medical, disability insurance (payroll deductions or not provided by employer) Doctor, dentist, hospital, medicines Clothes, shoes, and accessories Homeowner’s (if not covered by mortgage payment) Life (not provided by employer) Auto Income and social security Property (if not Included in mortgage) Loan payments Purchases and repairs Laundry, cosmetics, hair care Vacations Other recreation and entertainment Other items (II) Total Expenditures $ CASH SURPLUS (OR DEFICIT) [(I) – (II)] $ 38 7612_Book_p001-048.pdf 38 10/22/10 9:16 AM 5 Years From Today Due Date ___________ BALANCE SHEET Name(s) Dated ASSETS Liquid Assets Cash on hand In checking Savings accounts Money market funds and deposits Certificates of deposit (<1 yr. to maturity) Total Liquid Assets LIABILITIES AND NET WORTH $ $ Investments Stocks Bonds Certificates of deposit (>1 yr. to maturity) Mutual funds Current Liabilities Utilities Rent Insurance premiums Taxes Medical/dental bills Repair bills Bank credit card balances Dept. store credit card balances Travel and entertainment card balances Gas and other credit card balances Bank line of credit balances Other current liabilities $ Total current Liabilities Real estate Retirement funds, IRA Other Total Investments $ Real Property Primary residence Second home Other Total Real Property Personal Property Auto(s): Auto(s): Recreational vehicles Household furnishings Jewelry and artwork Other Other Total Personal Property Auto loans Appliance/furniture loans Home Improvement loans Single-payment loans Educational loans Other long-term loans $ (I) Total Assets Long-Term Liabilities Primary residence mortgage Second home mortgage Real estate investment mortgage Total Long-Term Liabilities $ $ (II) Total Liabilities $ Net Worth [(I) – (II)] $ Total Liabilities and Net Worth $ 39 7612_Book_p001-048.pdf 39 10/22/10 9:16 AM Retirement ___________ Years from Now Due Date ___________ INCOME AND EXPENDITURES STATEMENT Name(s) For the INCOME Wages and salaries Self-employment income Bonuses and commissions Pensions and annuities Investment income Ending Name: Name: Name: $ Interest received Dividends received Rents received Sale of securities Other Other income (I) Total Income $ EXPENDITURES Housing Utilities Food Autos Medical Clothing Insurance Taxes Appliances, furniture, and other major purchases Personal care Recreation and entertainment Rent/mortgage payment (include Insurance and taxes, if applicable) Repairs, maintenance, improvements Gas, electric, water Phone Cable TV and other Groceries Dining out Loan payments License plates, fees, etc. Gas, oil, repairs, tires, maintenance Health, major medical, disability insurance (payroll deductions or not provided by employer) Doctor, dentist, hospital, medicines Clothes, shoes, and accessories Homeowner’s (if not covered by mortgage payment) Life (not provided by employer) Auto Income and social security Property (if not Included in mortgage) Loan payments Purchases and repairs Laundry, cosmetics, hair care Vacations Other recreation and entertainment Other items (II) Total Expenditures $ CASH SURPLUS (OR DEFICIT) [(I) – (II)] $ 40 7612_Book_p001-048.pdf 40 10/22/10 9:16 AM Retirement ___________ Years from Now Due Date ___________ BALANCE SHEET Name(s) Dated ASSETS Liquid Assets Cash on hand In checking Savings accounts Money market funds and deposits Certificates of deposit (<1 yr. to maturity) Total Liquid Assets LIABILITIES AND NET WORTH $ $ Investments Stocks Bonds Certificates of deposit (>1 yr. to maturity) Mutual funds Current Liabilities Utilities Rent Insurance premiums Taxes Medical/dental bills Repair bills Bank credit card balances Dept. store credit card balances Travel and entertainment card balances Gas and other credit card balances Bank line of credit balances Other current liabilities $ Total current Liabilities Real estate Retirement funds, IRA Other Total Investments $ Real Property Primary residence Second home Other Total Real Property Personal Property Auto(s): Auto(s): Recreational vehicles Household furnishings Jewelry and artwork Other Other Total Personal Property Auto loans Appliance/furniture loans Home Improvement loans Single-payment loans Educational loans Other long-term loans $ (I) Total Assets Long-Term Liabilities Primary residence mortgage Second home mortgage Real estate investment mortgage Total Long-Term Liabilities $ $ (II) Total Liabilities $ Net Worth [(I) – (II)] $ Total Liabilities and Net Worth $ 41 7612_Book_p001-048.pdf 41 10/22/10 9:16 AM Financial Plan—Bringing It All Together (Suggested Outline) SECTION ONE Your 50 goals. SECTION TWO Describe your current financial position (about one page in length). Include current income and balance sheets. SECTION THREE Your 1, 3, and 5-year income and balance sheets SECTION FOUR Write a 3 page narrative about the changes year to year in your life (financial and personal) to correspond to your 1, 3, and 5-year statements. SECTION FIVE Your income and balance sheets at retirement along with a one page narrative. SECTION SIX Time Value of Money Calculations—Required SECTION SEVEN Other information—Print out the house you want from the internet with the price from the Internet or newspaper. Also print out the type of car you want to drive along with any additional information that will help me give you an “A” on this report. MAKE SURE THAT YOUR FINANCIAL PLAN IS SPIRAL BOUND!!! OTHERWISE YOU WILL RECEIVE AN F ON YOUR FINAL PROJECT!!! Please use 1½ line spacing, normal margin settings. 42 7612_Book_p001-048.pdf 42 10/22/10 9:16 AM Future Value of a Dollar Answers 1. $5,000 ⫻ (FV$ N = 3 K = 10) 1.3310 = $6,655 2. $5,000 ⫻ (FV$ N = 3 K = 7) 1.2250 = $6,125 3. $10,000 ⫻ (FV$ N = 2 K = 12) 1.2544 = $12,544 4. $10,000 ⫻ (FV$ N = 2 K = 9) 1.1881 = $11,881 5. $3,000 ⫻ (FV$ N = 7 K = 12) 2.2107 = $6,632 6. $3,000 ⫻ (FV$ N = 7 K = 5) 1.4071 = $4,221 7. $4,000 ⫻ (FV$ N = 30 K = 10) 17.449 = $69,796 8. $4,000 ⫻ (FV$ N = 40 K = 12) 93.051 = $372,204 9. $2,000 ⫻ (FV$ N = 30 K = 8) 10.063 = $20,126 10. $2,000 ⫻ (FV$ N = 30 K = 7) 7.6123 = $15,225 43 7612_Book_p001-048.pdf 43 10/22/10 9:16 AM Future Value of an Annuity Answers 1. $5,000 ⫻ (FVA: N = 3 K = 10) 3.3100 = $16,550 2. $5000 ⫻ (FVA: N = 3 K = 7) 3.2149 = $16,075 3. $10,000 ⫻ (FVA: N = 2 K = 12) 2.1200 = $21,200 4. $10,000 ⫻ (FVA: N = 2 K = 9) 2.0900 = $20,900 5. $3,000 ⫻ (FVA: N = 7 K = 12) 10.089 = $30,267 6. $3,000 ⫻ (FVA: N = 7 K = 5) 8.1420 = $24,426 7. $4,000 ⫻ (FVA: N = 30 K = 10) 164.49 = $657,960 8. $4,000 ⫻ (FVA: N = 40 K = 12) 767.09 = $3,068,360 9. $2,000 ⫻ (FVA: N = 30 K = 8) 113.28 = $226,560 10. $2,000 ⫻ (FVA: N = 40 K = 7) 199.64 = $399,280 44 7612_Book_p001-048.pdf 44 10/22/10 9:16 AM Answers for Present Value of a Dollar 1. $5,000 ⫻ (PV$: N = 3 K = 10) .7513 = $3,757 2. $5,000 ⫻ (PV$: N = 3 K = 7) .8163 = $4,082 3. $10,000 ⫻ (PV$: N = 2 K = 12) .7972 = $7,972 4. $10,000 ⫻ (PV$: N = 2 K = 9) .8417 = $8,417 5. $3,000 ⫻ (PV$: N = 7 K = 12) .4523 = $1,357 6. $3,000 ⫻ (PV$: N = 7 K = 5) .7107 = $2,132 7. $100,000 ⫻ (PV$: N = 30 K = 10) .0573 = $5,730 8. $100,000 ⫻ (PV$: N = 40 K = 12) .0107 = $1,070 9. $1,000,000 ⫻ (PV$: N = 30 K = 8) .0994 = $99,400 10. $1,000,000 ⫻ (PV$: N = 40 K = 7) .0668 = $66,800 45 7612_Book_p001-048.pdf 45 10/22/10 9:16 AM Answers for Present Value of an Annuity 1. $5,000 ⫻ PVA (N = 3, K = 10) 2.4869 = $12,435 2. $5,000 ⫻ PVA (N = 3, K = 7) 2.6243 = $13,122 3. $10,000 ⫻ PVA (N = 2, K = 12) 1.6901 = $16,901 4. $10,000 ⫻ PVA (N = 2, K = 9) 1.7591 = $17,591 5. $3,000 ⫻ PVA (N = 7, K = 12) 4.5638 = $13,691 6. $3,000 ⫻ PVA (N = 7, K = 5) 5.7864 = $17,359 7. $4,000 ⫻ PVA (N = 20, K = 10) 8.5136 = $34,054 8. $4,000 ⫻ PVA (N = 30, K = 12) 8.0552 = $32,221 9. $2,000 ⫻ PVA (N = 20, K = 10) 8.5136 = $17,027 10. $2,000 ⫻ PVA (N = 30, K = 12) 8.0552 = $16, 110 46 7612_Book_p001-048.pdf 46 10/22/10 9:16 AM Answers for Bond Values 1a) $25,000 ⫻ PV$ (K = 5, N = 30) .2314 = $5,785 $2,500 ⫻ PVA (K = 5, N = 30) 15.3725 = $38,431 Total: $44,216 1b) $25,000 ⫻ PV$ (K = 8, N = 30) .0994 = $2,485 $2,500 ⫻ PVA (K = 8, N = 30) 11.2578 = $28,145 Total: $30,630 1c) $25,000 ⫻ PV$ (K = 12, N = 30) .0334 = $835 $2,500 ⫻ PVA (K = 12, N = 30) 8.0552 = $20,138 Total: $20,973 2a) $100,000 ⫻ PV$ (K = 6, N = 10) .5584 = $55,840 $7,000 ⫻ PVA (K = 6, N = 10) 7.3601 = $51,520 Total: $107,360 2b) $100,000 ⫻ PV$ (K = 9, N = 10) .4224 = $42,240 $7,000 ⫻ PVA (K = 9, N = 10) 6.4177 = $44,924 Total: $87,164 2c) $100,000 PV$ (K = 10, N = 10) .3855 = $38,550 $7,000 PVA (K = 10, N = 10) 6.1446 = $43,012 Total: $81,562 47 7612_Book_p001-048.pdf 47 10/22/10 9:16 AM 7612_Book_p001-048.pdf 48 10/22/10 9:16 AM