ANSWERS to annuities and loans homework Answers to #1, 2, 3, and 4 were rounded to the nearest thousand dollars. Answers to #5, 6, 7, and 8 were rounded to the nearest cent. Answers to #9 and #10 were rounded to the nearest hundred dollars. 1. $100 a month at 3% (a) for 10 years: $ 14,000 (b) for 25 years: $ 45,000 (c) for 40 years: $ 93,000 2. $100 a month at 6% (a) for 10 years: $ 16,000 (b) for 25 years: $ 69,000 (c) for 40 years: $ 199,000 3. $100 a month at 9% (a) for 10 years: $ 19,000 (b) for 25 years: $ 112,000 (c) for 40 years: $ 468,000 4. $100 a month at 12% (a) for 10 years: $ 23,000 (b) for 25 years: $ 188,000 (c) for 40 years: $1,176,000 5. $1,000,000 / ( ( 1.007 ^ 360 - 1 ) / 0.007 ), or about $618.38 a month 6. $2,000,000 / ( ( 1.00875 ^ 480 - 1 ) / 0.00875 ), or about $271.41 a month 7. (a) $16,000*(1.0045)^36 / ( ( 1.0045 ^ 36 - 1 ) / 0.0045 ), or about $ 482.41 a month (b) $16,000*(1.0045)^60 / ( ( 1.0045 ^ 60 - 1 ) / 0.0045 ), or about $ 304.88 a month 8. (a) $125,000*(1.005)^180 / ( ( 1.005 ^ 180 - 1 ) / 0.005 ), or about $1054.82 a month (b) $125,000*(1.005)^360 / ( ( 1.005 ^ 360 - 1 ) / 0.005 ), or about $ 749.44 a month 9. $250 * ( ( 1.004 ^ 60 - 1 ) / 0.004 ) / (1.004)^60, or about $13,300 10. (a) $800 * ( ( 1.0045 ^ 360 - 1 ) / 0.0045 ) / (1.0045)^360, or about $142,500 (b) $800 * ( ( 1.0045 ^ 360 - 1 ) / 0.0045 ) / (1.0045)^360 / 0.80, or about $178,100