Deck 5: Mathematics of Finance

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Question
Find the interest. Round to the nearest cent.

- $400\$ 400 at 7%7 \% for 3 years

A)I nterest =$84.00=\$ 84.00
B) Interest =$19.05=\$ 19.05
C)I nterest =$8.40=\$ 8.40
D) Interest =$933.33=\$ 933.33
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Question
Find the interest. Round to the nearest cent.

- $1660\$ 1660 at 7%7 \% for 3123 \frac{1}{2} years

A) Interest =$406.70=\$ 406.70
B) Interest =$830.00=\$ 830.00
C) Interest =$40.67=\$ 40.67
D) Interest =$33.20=\$ 33.20
Question
Find the interest. Round to the nearest cent.

- $790\$ 790 at 8.8%8.8 \% for 10 months

A) Interest =$5793.00=\$ 5793.00
B) Interest =$6.95=\$ 6.95
C) Interest =$57.93=\$ 57.93
D) Interest =$695.16=\$ 695.16
Question
Find the interest. Round to the nearest cent.

- $1180\$ 1180 at 7.6%7.6 \% for 14 months

A) Interest =$6.41=\$ 6.41
B) Interest =$1255.56=\$ 1255.56
C) Interest =$104.63=\$ 104.63
D) Interest =$10,463.00=\$ 10,463.00
Question
Find the interest. Round to the nearest cent.

- $600\$ 600 at 6.3%6.3 \% for 2 months

A) Interest =$630.00=\$ 630.00
B) Interest =$75.60=\$ 75.60
C) Interest =$18.90=\$ 18.90
D) Interest =$6.30=\$ 6.30
Question
Find the exact interest. Use 365 days in a year, and use the exact number of days in a month. Round to the nearest cent,if necessary.

- $2100\$ 2100 at 5%5 \% for 63 days

A) $1.81\$ 1.81
B) $18.12\$ 18.12
C) $18.38\$ 18.38
D) $1.84\$ 1.84
Question
Find the exact interest. Use 365 days in a year, and use the exact number of days in a month. Round to the nearest cent,if necessary.

-A loan of $8500\$ 8500 at 7%7 \% made on July 23 and due on November 30

A) $209.90\$ 209.90
B) $211.92\$ 211.92
C) $207.03\$ 207.03
D) $214.86\$ 214.86
Question
Find the exact interest. Use 365 days in a year, and use the exact number of days in a month. Round to the nearest cent,if necessary.

- $7220\$ 7220 at 6.5%6.5 \% for 130 days

A) $154.29\$ 154.29
B) $469.30\$ 469.30
C) $169.47\$ 169.47
D) $167.15\$ 167.15
Question
Find the exact interest. Use 365 days in a year, and use the exact number of days in a month. Round to the nearest cent,if necessary.

-A loan of $97,000\$ 97,000 at 5.9%5.9 \% made on Feb 18 and due on June 30

A) $2146.13\$ 2146.13
B) $2098.43\$ 2098.43
C) $2069.69\$ 2069.69
D) $2116.73\$ 2116.73
Question
Find the exact interest. Use 365 days in a year, and use the exact number of days in a month. Round to the nearest cent,if necessary.

- $4600\$ 4600 at 5.7%5.7 \% for 71 days

A) $51.00\$ 51.00
B) $5.17\$ 5.17
C) $51.71\$ 51.71
D) $5.10\$ 5.10
Question
Find the exact interest. Use 365 days in a year, and use the exact number of days in a month. Round to the nearest cent,if necessary.

-A loan of $8500\$ 8500 at 6.6%6.6 \% made on July 2 and due on November 30

A) $235.31\$ 235.31
B) $230.63\$ 230.63
C) $232.08\$ 232.08
D) $227.47\$ 227.47
Question
For the given bond, whose interest rate is provided, find the semiannual interest payment and the total interest earnedover the life of the bond.

- $10,000\$ 10,000 FI National Corporation 11 -year bond at 1.5%1.5 \%

A) $7500.00;$165,000.00\$ 7500.00 ; \$ 165,000.00
B) $5.00;$1100.00\$ 5.00 ; \$ 1100.00
C) $150.00;$1650.00\$ 150.00 ; \$ 1650.00
D) $75.00;$1650.00\$ 75.00 ; \$ 1650.00
Question
For the given bond, whose interest rate is provided, find the semiannual interest payment and the total interest earnedover the life of the bond.

- $2,000\$ 2,000 Max-Mart Stores 5 -year bond at 6.75%6.75 \%

A) $67.50;$675.00\$ 67.50 ; \$ 675.00
B) $60.00;$600.00\$ 60.00 ; \$ 600.00
C) $135.00;$675.00\$ 135.00 ; \$ 675.00
D) $6750.00;$67,500.00\$ 6750.00 ; \$ 67,500.00
Question
For the given bond, whose interest rate is provided, find the semiannual interest payment and the total interest earnedover the life of the bond.

- $16,000\$16,000 First Income Fund 4 -year bond at 1.15%1.15 \%

A) $184.00;$736.00\$ 184.00 ; \$ 736.00
B) $9200.00;$73,600.00\$ 9200.00 ; \$ 73,600.00
C) $92.00;$736.00\$ 92.00 ; \$ 736.00
D) $88.00;$704.00\$ 88.00 ; \$ 704.00
Question
For the given bond, whose interest rate is provided, find the semiannual interest payment and the total interest earnedover the life of the bond.

- $21,000\$ 21,000 First Income Fund 17 -year bond at 3.975%3.975 \%

A) $41,737.50;$1,419,075.00\$ 41,737.50 ; \$ 1,419,075.00
B) $416.85;$14,172.90\$ 416.85 ; \$ 14,172.90
C) $417.38;$14,190.75\$ 417.38 ; \$ 14,190.75
D) $834.75;$14,190.75\$ 834.75 ; \$ 14,190.75
Question
Find the future value of the loan.

- $200.00\$ 200.00 loan at 5%5 \% for 5 months

A) $1004.17\$ 1004.17
B) $209.17\$ 209.17
C) $204.17\$ 204.17
D) $250.00\$ 250.00
Question
Find the future value of the loan.

- $6100\$ 6100 loan at 7.5%7.5 \% for 9 months

A) $10,217.50\$ 10,217.50
B) $6474.32\$ 6474.32
C) $6443.13\$ 6443.13
D) $6448.13\$ 6448.13
Question
Find the future value of the loan.

- $700\$ 700 loan at 4.25%4.25 \% for 7 months

A) $908.25\$ 908.25
B) $722.35\$ 722.35
C) $717.35\$ 717.35
D) $718.93\$ 718.93
Question
Find the future value of the loan.

- $39,900\$ 39,900 loan at 5.5%5.5 \% for 4 months.

A) $40,631.50\$ 40,631.50
B) $406,315.00\$ 406,315.00
C) $48,678.00\$ 48,678.00
D) $113,050.00\$ 113,050.00
Question
Find the present value of the future amount. Assume 365 days in a year. Round to the nearest cent.

- $24,000\$ 24,000 for 11 months; money earns 6%6 \%

A) $22,857.14\$ 22,857.14
B) $22,641.51\$ 22,641.51
C) $1251.18\$ 1251.18
D) $22,748.82\$ 22,748.82
Question
Find the present value of the future amount. Assume 365 days in a year. Round to the nearest cent.

- $300\$ 300 for 9 months; money earns 2%2 \%

A) $4.43\$ 4.43
B) $296.05\$ 296.05
C) $294.12\$ 294.12
D) $295.57\$ 295.57
Question
Find the present value of the future amount. Assume 365 days in a year. Round to the nearest cent.

- $27,000\$ 27,000 for 140 days; money earns 2%2 \%

A) $26,794.45\$ 26,794.45
B) $205.55\$ 205.55
C) $26,795.91\$ 26,795.91
D) $26,470.59\$ 26,470.59
Question
Find the present value of the future amount. Assume 365 days in a year. Round to the nearest cent.

- $300\$ 300 for 327 days; money earns 3%3 \%

A) $291.26\$ 291.26
B) $292.17\$ 292.17
C) $292.15\$ 292.15
D) $7.85\$ 7.85
Question
Find the present value of the future amount. Assume 365 days in a year. Round to the nearest cent.

- $19,000\$ 19,000 for 11 months; money earns 5.6%5.6 \%

A) $18,072.29\$ 18,072.29
B) $18,152.87\$ 18,152.87
C) $18,944.00\$ 18,944.00
D) $17,992.42\$ 17,992.42
Question
Find the present value of the future amount. Assume 365 days in a year. Round to the nearest cent.

- $25,162\$ 25,162 for 147 days; money earns 6.8%6.8 \%

A) $24,491.27\$ 24,491.27
B) $670.73\$ 670.73
C) $23,559.93\$ 23,559.93
D) $24,495.72\$ 24,495.72
Question
The given Treasury bill was sold in April of this year. Find (i) the price of the T-bill, and (ii) the actual interest rate paid by the Treasury. Round dollar amounts to the nearest cent and interest rates to the nearest thousandth.

-Three-month $3000 T\$ 3000 \mathrm{~T} -bill with discount rate 0.125%0.125 \%

A) (i) $2998.88\$ 2998.88 ;
(ii) About 0.15%0.15 \%
B) (i) $2999.91\$ 2999.91 ;
C) (i) $2999.06\$ 2999.06 ;
(ii) About 0.013%0.013 \%
(ii) About 0.125%0.125 \%
D) (i) $3000.94\$ 3000.94 ;
(ii) About 0.125%0.125 \%
Question
The given Treasury bill was sold in April of this year. Find (i) the price of the T-bill, and (ii) the actual interest rate paid by the Treasury. Round dollar amounts to the nearest cent and interest rates to the nearest thousandth.

-Six-month $12,000 T\$ 12,000 \mathrm{~T} -bill with discount rate 0.110%0.110 \%

A) (i) $12,006.60\$ 12,006.60 ;
B) (i) $11,999.34\$ 11,999.34 ;
(ii) About 0.11%0.11 \%
(ii) About 0.011%0.011 \%
C) (i) $11,993.40\$ 11,993.40 ;
D) (i) $11,992.08\$ 11,992.08 ;
(ii) About 0.11%0.11 \%
(ii) About 0.132%0.132 \%
Question
The given Treasury bill was sold in April of this year. Find (i) the price of the T-bill, and (ii) the actual interest rate paid by the Treasury. Round dollar amounts to the nearest cent and interest rates to the nearest thousandth.

-Six-month $10,000 T\$ 10,000 \mathrm{~T} -bill with discount rate 0.085%0.085 \%

A) (i) $10,004.25\$ 10,004.25 ;
(ii) About 0.085%0.085 \%
B) (i) $9994.90\$ 9994.90 ;
C) (i) $9999.58\$ 9999.58 ;
(ii) About 0.009%0.009 \%
(ii) About 0.102%0.102 \%
D) (i) $9995.75\$ 9995.75 ;
(ii) About 0.085%0.085 \%
Question
The given Treasury bill was sold in April of this year. Find (i) the price of the T-bill, and (ii) the actual interest rate paid by the Treasury. Round dollar amounts to the nearest cent and interest rates to the nearest thousandth.

-One-year $5000 T\$ 5000 \mathrm{~T} -bill with discount rate 0.095%0.095 \%

A) (i) $5004.75\$ 5004.75 ;
(ii) About 0.095%0.095 \%
B) (i) $4995.25\$ 4995.25 ;
(ii) About 0.095%0.095 \%
C) (i) $4994.30\$ 4994.30 ;
D) (i) $4999.53\$ 4999.53 ;
(ii) About 0.114%0.114 \%
(ii) About 0.01%0.01 \%
Question
Solve the problem.

-How much must Harry's Hardware deposit at 3.5%3.5 \% interest for 210 days in order to earn $500.00\$ 500.00 interest? Round to the nearest dollar.

A) $12,245\$ 12,245
B) $14,286\$ 14,286
C) $24,490\$ 24,490
D) $24,830\$ 24,830
Question
Solve the problem.

-Novelties-and-Such borrowed $300\$ 300 for 100 days and paid $2.88\$ 2.88 in interest. Find the rate of interest on the loan. Round to the nearest tenth.

A) 3.0%3.0 \%
B) 3.7%3.7 \%
C) 4.0%4.0 \%
D) 3.5%3.5 \%
Question
Solve the problem.

-Allan borrowed $4800\$ 4800 from his father to buy a car. He repaid him after 10 months with interest of 10%10 \% . Find the total amount he repaid.

A) $5160.00\$ 5160.00
B) $5200.00\$ 5200.00
C) $400.00\$ 400.00
D) $5280.00\$ 5280.00
Question
Solve the problem.

-Tuition of $3500\$ 3500 is due when the spring term begins, in 2 months. What amount should a student deposit today, at 8%8 \% , to have enough to pay tuition?

A) $3240.74\$ 3240.74
B) $3453.95\$ 3453.95
C) $3476.82\$ 3476.82
D) $46.05\$ 46.05
Question
Solve the problem.

-Ted owes $15,000\$ 15,000 to Mary. The loan is payable in 1 year at 10%10 \% . Mary needs cash, so 10 months before the loan is payable she goes to her bank which will pay her the maturity value of the note less a 11%11 \% discount fee. Find the amount Mary will receive.

A) $13,475.00\$ 13,475.00
B) $1512.50\$ 1512.50
C) $14,987.50\$ 14,987.50
D) $14,836.25\$ 14,836.25
Question
Solve the problem.

-A company has ordered 5 new personal computers at a cost of $1700\$ 1700 each. They will not be delivered for 11 months. What amount should the firm deposit in an account paying 7.32%7.32 \% to have enough money to pay for them?

A) $4112.04\$ 4112.04
B) $7965.51\$ 7965.51
C) $8011.31\$ 8011.31
D) $7920.24\$ 7920.24
Question
Solve the problem.

-A $8920\$ 8920 note is signed, for 40 days, at a discount rate of 6.5%6.5 \% . Find the proceeds.

A) $8340.20\$ 8340.20
B) $8856.46\$ 8856.46
C) $8920.00\$ 8920.00
D) $8855.58\$ 8855.58
Question
Solve the problem.

-A note with a face value of $9000\$ 9000 was discounted at 5%5 \% . If the discount was $185\$ 185 , find the length of the loan in days.

A) 180 days
B) 150 days
C) 120 days
D) 148 days
Question
Solve the problem.

-Leon Harding receives proceeds of $4842\$ 4842 after signing a 120 -day note for $5000\$ 5000 . Find the discount rate. Round to the nearest tenth.

A) 9.6%9.6 \%
B) 7.6%7.6 \%
C) 4.8%4.8 \%
D) 3.2%3.2 \%
Question
Solve the problem.

-Mark Golden needs $7842.71\$ 7842.71 to pay for remodeling work. His bank loans money at a discount rate of 7%7 \% for 150 days. Find the face value of a loan so he will have $7842.71\$ 7842.71 .

A) $8078.33\$ 8078.33
B) $8391.70\$ 8391.70
C) $7842.71\$ 7842.71
D) $8075.00\$ 8075.00
Question
Find the compound amount for the deposit. Round to the nearest cent.

- $15,000\$ 15,000 at 3%3 \% compounded annually for 19 years

A) $26,302.59\$ 26,302.59
B) $25,536.50\$ 25,536.50
C) $23,550.00\$ 23,550.00
D) $23,100.00\$ 23,100.00
Question
Find the compound amount for the deposit. Round to the nearest cent.

- $4000\$ 4000 at 5%5 \% compounded semiannually for 12 years

A) $7183.43\$ 7183.43
B) $7234.90\$ 7234.90
C) $5379.56\$ 5379.56
D) $6400.00\$ 6400.00
Question
Find the compound amount for the deposit. Round to the nearest cent.

- $1900\$ 1900 at 5%5 \% compounded quarterly for 4 years

A) $2309.46\$ 2309.46
B) $1996.80\$ 1996.80
C) $2317.79\$ 2317.79
D) $2280.00\$ 2280.00
Question
Find the compound amount for the deposit. Round to the nearest cent.

- $1200\$ 1200 at 6%6 \% compounded annually for 19 years

A) $3630.72\$ 3630.72
B) $3425.21\$ 3425.21
C) $2568.00\$ 2568.00
D) $2496.00\$ 2496.00
Question
Find the compound amount for the deposit. Round to the nearest cent.

- $7980\$ 7980 at 3%3 \% compounded semiannually for 12 years

A) $11,407.43\$ 11,407.43
B) $11,377.57\$ 11,377.57
C) $10,852.80\$ 10,852.80
D) $9541.03\$ 9541.03
Question
Find the compound amount for the deposit. Round to the nearest cent.

- $8304\$ 8304 at 8%8 \% compounded daily for 4 years

A) $11,435.27\$ 11,435.27
B) $3597.87\$ 3597.87
C) $11,435.67\$ 11,435.67
D) $2252.21\$ 2252.21
Question
Find the compound amount for the deposit. Round to the nearest cent.

- $24,391\$ 24,391 at 8.5%8.5 \% compounded daily for 5 years

A) $15,820.25\$ 15,820.25
B) $37,306.39\$ 37,306.39
C) $16,974.92\$ 16,974.92
D) $44,443.30\$ 44,443.30
Question
Find the compound amount for the deposit. Round to the nearest cent.

- $9000\$ 9000 at 0.78%0.78 \% compounded monthly for 2 years.

A) $9011.70\$ 9011.70
B) $10,514.13\$ 10,514.13
C) $9141.45\$ 9141.45
D) $10,844.94\$ 10,844.94
Question
Find the compound amount for the deposit. Round to the nearest cent.

- $110,000\$ 110,000 at 1.41%1.41 \% compounded quarterly for 5 years.

A) $111,952.47\$ 111,952.47
B) $145,548.70\$ 145,548.70
C) $117,976.80\$ 117,976.80
D) $118,020.27\$ 118,020.27
Question
Find the compound interest earned by the deposit. Round to the nearest cent.

- $11,000\$ 11,000 at 3%3 \% compounded annually for 13 years

A) $4290.00\$ 4290.00
B) $4683.37\$ 4683.37
C) $3960.00\$ 3960.00
D) $5153.87\$ 5153.87
Question
Find the compound interest earned by the deposit. Round to the nearest cent.

- $16,000\$ 16,000 at 8%8 \% compounded semiannually for 6 years

A) $9389.99\$ 9389.99
B) $9616.52\$ 9616.52
C) $4245.10\$ 4245.10
D) $7680.00\$ 7680.00
Question
Find the compound interest earned by the deposit. Round to the nearest cent.

- $1400\$ 1400 at 4%4 \% compounded quarterly for 4 years

A) $237.80\$ 237.80
B) $224.00\$ 224.00
C) $241.61\$ 241.61
D) $1456.85\$ 1456.85
Question
Find the compound interest earned by the deposit. Round to the nearest cent.

- $1950\$ 1950 at 3.7%3.7 \% compounded annually for 18 years

A) $1298.70\$ 1298.70
B) $1666.38\$ 1666.38
C) $1226.55\$ 1226.55
D) $1800.18\$ 1800.18
Question
Find the compound interest earned by the deposit. Round to the nearest cent.

- $1260\$ 1260 at 4.1%4.1 \% compounded semiannually for 10 years

A) $516.60\$ 516.60
B) $630.74\$ 630.74
C) $283.48\$ 283.48
D) $623.12\$ 623.12
Question
Find the compound interest earned by the deposit. Round to the nearest cent.

- $4000\$ 4000 at 4%4 \% compounded quarterly for 34\frac{3}{4} year

A) $121.20\$ 121.20
B) $499.46\$ 499.46
C) $480.00\$ 480.00
D) $119.41\$ 119.41
Question
Find the compound interest earned by the deposit. Round to the nearest cent.

- $5000\$ 5000 at 0.81%0.81 \% compounded monthly for 2 years.

A) $1068.16\$ 1068.16
B) $6.75\$ 6.75
C) $81.63\$ 81.63
D) $876.10\$ 876.10
Question
Find the compound interest earned by the deposit. Round to the nearest cent.

- $110,000\$ 110,000 at 1.21%1.21 \% compounded quarterly for 5 years.

A) $29,914.00\$ 29,914.00
B) $6818.01\$ 6818.01
C) $1673.85\$ 1673.85
D) $6849.76\$ 6849.76
Question
Find the interest rate (with annual compounding) that makes the statement true. Round to the nearest tenth whennecessary.

- $8000\$ 8000 grows to $8652.80\$ 8652.80 in 2 years

A) 4%4 \%
B) 4.25%4.25 \%
C) 2.5%2.5 \%
D) 2%2 \%
Question
Find the interest rate (with annual compounding) that makes the statement true. Round to the nearest tenth whennecessary.

- $4692\$ 4692 grows to $5767.67\$ 5767.67 in 6 years

A) 6%6 \%
B) 6.5%6.5 \%
C) 3%3 \%
D) 3.5%3.5 \%
Question
Find the interest rate (with annual compounding) that makes the statement true. Round to the nearest tenth whennecessary.

- $782\$ 782 grows to $1071.53\$ 1071.53 in 10 years

A) 4.75%4.75 \%
B) 3.2%3.2 \%
C) 4.95%4.95 \%
D) 3.5%3.5 \%
Question
Find the interest rate (with annual compounding) that makes the statement true. Round to the nearest tenth whennecessary.

- $611\$ 611 grows to $1621.16\$ 1621.16 in 20 years

A) 2.3%2.3 \%
B) 5.95%5.95 \%
C) 5.5%5.5 \%
D) 5%5 \%
Question
Find the interest rate (with annual compounding) that makes the statement true. Round to the nearest tenth whennecessary.

- $14,000\$ 14,000 grows to $18,814.83\$ 18,814.83 in 10 years

A) 10.5%10.5 \%
B) 3.25%3.25 \%
C) 3%3 \%
D) 10.75%10.75 \%
Question
Find the interest rate (with annual compounding) that makes the statement true. Round to the nearest tenth whennecessary.

- $5000\$ 5000 grows to 10,028.8710,028.87 in 13 years.

A) 5.05%5.05 \%
B) 5.45%5.45 \%
C) 3.8%3.8 \%
D) 5.5%5.5 \%
Question
Find the compound amount and the interest earned when the given investment has continuous compounding.

- $13,000\$ 13,000 at 2.8%2.8 \% for 3 years

A) $14,092.00;$1092.00\$ 14,092.00 ; \$ 1092.00
B) $14,540.67;$1540.67\$ 14,540.67 ; \$ 1540.67
C) $14,139.18;$1139.18\$ 14,139.18 ; \$ 1139.18
D) $13,369.14;$369.14\$ 13,369.14 ; \$ 369.14
Question
Find the compound amount and the interest earned when the given investment has continuous compounding.

- $110,000\$ 110,000 at 4.6%4.6 \% for 17 years

A) $240,442.35;$130,442.35\$ 240,442.35 ; \$ 130,442.35
B) $251,761.03;$141,761.03\$ 251,761.03 ; \$ 141,761.03
C) $11,517.82;$5178.19\$ 11,517.82 ; \$ 5178.19
D) $118,602.00;$8602.00\$ 118,602.00 ; \$ 8602.00
Question
Solve the problem.

-Find the face value (to the nearest thousand dollars) of the 15 -year zero-coupon bond at 4.4%4.4 \% (compounded semiannually) with a price of $20,823\$ 20,823 .

A) $45,800\$ 45,800
B) $45,000\$ 45,000
C) $40,500\$ 40,500
D) $40,000\$ 40,000
Question
Solve the problem.

-Find the face value (to the nearest thousand dollars) of the 20 -year zero-coupon bond at 5.4%5.4 \% (compounded semiannually) with a price of $17,225\$ 17,225 .

A) $50,000\$ 50,000
B) $20,200\$ 20,200
C) $49,500\$ 49,500
D) $20,000\$ 20,000
Question
Solve the problem.

-Find the face value (to the nearest thousand dollars) of the 30 -year zero-coupon bond at 6.2%6.2 \% (compounded semiannually) with a price of $8007\$ 8007 .

A) $60,000\$ 60,000
B) $50,000\$ 50,000
C) $60,800\$ 60,800
D) $50,500\$ 50,500
Question
Solve the problem.

-Find the face value (to the nearest thousand dollars) of the 30 -year zero-coupon bond at 3.7%3.7 \% (compounded semiannually) with a price of $19,975\$ 19,975 .

A) $60,000\$ 60,000
B) $40,800\$ 40,800
C) $60,500\$ 60,500
D) $40,000\$ 40,000
Question
Solve the problem.

-Find the price (to the nearest cent) you should be willing to pay for the 15 -year $10,000\$ 10,000 bond with interest at 4.1%4.1 \% (compounded semiannually).

A) $5440.14\$ 5440.14
B) $940.12\$ 940.12
C) $10,880.27\$ 10,880.27
D) $2995.56\$ 2995.56
Question
Solve the problem.

-Find the price (to the nearest cent) you should be willing to pay for the 15 -year $20,000\$ 20,000 bond with interest at 6.5%6.5 \% ( compounded semiannually).

A) $15,323.51\$ 15,323.51
B) $3023.72\$ 3023.72
C) $511.30\$ 511.30
D) $7661.75\$ 7661.75
Question
Find the APY corresponding to the given nominal rates.

- 5%5 \% compounded semiannually

A) 5.00%5.00 \%
B) 5.12%5.12 \%
C) 5.09%5.09 \%
D) 5.06%5.06 \%
Question
Find the APY corresponding to the given nominal rates.

- 5%5 \% compounded quarterly

A) 5.06%5.06 \%
B) 5.12%5.12 \%
C) 5%5 \%
D) 5.09%5.09 \%
Question
Find the APY corresponding to the given nominal rates.

- 7%7 \% compounded monthly

A) 6.65%6.65 \%
B) 7.3%7.3 \%
C) 8.08%8.08 \%
D) 7.23%7.23 \%
Question
Find the APY corresponding to the given nominal rates.

- 6%6 \% compounded daily (assume 365 days per year)

A) 6.12%6.12 \%
B) 6.2%6.2 \%
C) 7.03%7.03 \%
D) 6.18%6.18 \%
Question
Find the amount that should be invested now to accumulate the following amount, if the money is compounded asindicated.

- $6700\$ 6700 at 5%5 \% compounded annually for 4yr4 \mathrm{yr}

A) $1187.89\$ 1187.89
B) $5512.11\$ 5512.11
C) $8143.89\$ 8143.89
D) $5787.71\$ 5787.71
Question
Find the amount that should be invested now to accumulate the following amount, if the money is compounded asindicated.

- $26,100\$ 26,100 at 5%5 \% compounded annually for 3yr3 \mathrm{yr}

A) $30,214.01\$ 30,214.01
B) $3553.84\$ 3553.84
C) $23,673.47\$ 23,673.47
D) $22,546.16\$ 22,546.16
Question
Find the amount that should be invested now to accumulate the following amount, if the money is compounded asindicated.

- $9000\$ 9000 at 6%6 \% compounded semiannually for 4yr4 \mathrm{yr}

A) $7104.68\$ 7104.68
B) $1895.32\$ 1895.32
C) $11,400.93\$ 11,400.93
D) $7128.84\$ 7128.84
Question
Find the amount that should be invested now to accumulate the following amount, if the money is compounded asindicated.

- $44,000\$ 44,000 at 5%5 \% compounded semiannually for 4yr4 \mathrm{yr}

A) $53,609.73\$ 53,609.73
B) $36,198.91\$ 36,198.91
C) $36,112.85\$ 36,112.85
D) $7887.15\$ 7887.15
Question
Find the amount that should be invested now to accumulate the following amount, if the money is compounded asindicated.

- $3500\$ 3500 at 4%4 \% compounded quarterly for 12yr12 \mathrm{yr}

A) $1329.09\$ 1329.09
B) $2186.09\$ 2186.09
C) $2170.91\$ 2170.91
D) $5642.79\$ 5642.79
Question
Solve the problem. Round to the nearest cent.

-If inflation is 2%2 \% a year compounded annually, what will it cost in 7 years to buy a house currently valued at $63,000\$ 63,000 ?

A) $70,948.23\$ 70,948.23
B) $67,544.53\$ 67,544.53
C) $73,814.54\$ 73,814.54
D) $72,367.20\$ 72,367.20
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Deck 5: Mathematics of Finance
1
Find the interest. Round to the nearest cent.

- $400\$ 400 at 7%7 \% for 3 years

A)I nterest =$84.00=\$ 84.00
B) Interest =$19.05=\$ 19.05
C)I nterest =$8.40=\$ 8.40
D) Interest =$933.33=\$ 933.33
I nterest =$84.00=\$ 84.00
2
Find the interest. Round to the nearest cent.

- $1660\$ 1660 at 7%7 \% for 3123 \frac{1}{2} years

A) Interest =$406.70=\$ 406.70
B) Interest =$830.00=\$ 830.00
C) Interest =$40.67=\$ 40.67
D) Interest =$33.20=\$ 33.20
Interest =$406.70=\$ 406.70
3
Find the interest. Round to the nearest cent.

- $790\$ 790 at 8.8%8.8 \% for 10 months

A) Interest =$5793.00=\$ 5793.00
B) Interest =$6.95=\$ 6.95
C) Interest =$57.93=\$ 57.93
D) Interest =$695.16=\$ 695.16
Interest =$57.93=\$ 57.93
4
Find the interest. Round to the nearest cent.

- $1180\$ 1180 at 7.6%7.6 \% for 14 months

A) Interest =$6.41=\$ 6.41
B) Interest =$1255.56=\$ 1255.56
C) Interest =$104.63=\$ 104.63
D) Interest =$10,463.00=\$ 10,463.00
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5
Find the interest. Round to the nearest cent.

- $600\$ 600 at 6.3%6.3 \% for 2 months

A) Interest =$630.00=\$ 630.00
B) Interest =$75.60=\$ 75.60
C) Interest =$18.90=\$ 18.90
D) Interest =$6.30=\$ 6.30
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6
Find the exact interest. Use 365 days in a year, and use the exact number of days in a month. Round to the nearest cent,if necessary.

- $2100\$ 2100 at 5%5 \% for 63 days

A) $1.81\$ 1.81
B) $18.12\$ 18.12
C) $18.38\$ 18.38
D) $1.84\$ 1.84
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7
Find the exact interest. Use 365 days in a year, and use the exact number of days in a month. Round to the nearest cent,if necessary.

-A loan of $8500\$ 8500 at 7%7 \% made on July 23 and due on November 30

A) $209.90\$ 209.90
B) $211.92\$ 211.92
C) $207.03\$ 207.03
D) $214.86\$ 214.86
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8
Find the exact interest. Use 365 days in a year, and use the exact number of days in a month. Round to the nearest cent,if necessary.

- $7220\$ 7220 at 6.5%6.5 \% for 130 days

A) $154.29\$ 154.29
B) $469.30\$ 469.30
C) $169.47\$ 169.47
D) $167.15\$ 167.15
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9
Find the exact interest. Use 365 days in a year, and use the exact number of days in a month. Round to the nearest cent,if necessary.

-A loan of $97,000\$ 97,000 at 5.9%5.9 \% made on Feb 18 and due on June 30

A) $2146.13\$ 2146.13
B) $2098.43\$ 2098.43
C) $2069.69\$ 2069.69
D) $2116.73\$ 2116.73
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10
Find the exact interest. Use 365 days in a year, and use the exact number of days in a month. Round to the nearest cent,if necessary.

- $4600\$ 4600 at 5.7%5.7 \% for 71 days

A) $51.00\$ 51.00
B) $5.17\$ 5.17
C) $51.71\$ 51.71
D) $5.10\$ 5.10
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11
Find the exact interest. Use 365 days in a year, and use the exact number of days in a month. Round to the nearest cent,if necessary.

-A loan of $8500\$ 8500 at 6.6%6.6 \% made on July 2 and due on November 30

A) $235.31\$ 235.31
B) $230.63\$ 230.63
C) $232.08\$ 232.08
D) $227.47\$ 227.47
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12
For the given bond, whose interest rate is provided, find the semiannual interest payment and the total interest earnedover the life of the bond.

- $10,000\$ 10,000 FI National Corporation 11 -year bond at 1.5%1.5 \%

A) $7500.00;$165,000.00\$ 7500.00 ; \$ 165,000.00
B) $5.00;$1100.00\$ 5.00 ; \$ 1100.00
C) $150.00;$1650.00\$ 150.00 ; \$ 1650.00
D) $75.00;$1650.00\$ 75.00 ; \$ 1650.00
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13
For the given bond, whose interest rate is provided, find the semiannual interest payment and the total interest earnedover the life of the bond.

- $2,000\$ 2,000 Max-Mart Stores 5 -year bond at 6.75%6.75 \%

A) $67.50;$675.00\$ 67.50 ; \$ 675.00
B) $60.00;$600.00\$ 60.00 ; \$ 600.00
C) $135.00;$675.00\$ 135.00 ; \$ 675.00
D) $6750.00;$67,500.00\$ 6750.00 ; \$ 67,500.00
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14
For the given bond, whose interest rate is provided, find the semiannual interest payment and the total interest earnedover the life of the bond.

- $16,000\$16,000 First Income Fund 4 -year bond at 1.15%1.15 \%

A) $184.00;$736.00\$ 184.00 ; \$ 736.00
B) $9200.00;$73,600.00\$ 9200.00 ; \$ 73,600.00
C) $92.00;$736.00\$ 92.00 ; \$ 736.00
D) $88.00;$704.00\$ 88.00 ; \$ 704.00
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15
For the given bond, whose interest rate is provided, find the semiannual interest payment and the total interest earnedover the life of the bond.

- $21,000\$ 21,000 First Income Fund 17 -year bond at 3.975%3.975 \%

A) $41,737.50;$1,419,075.00\$ 41,737.50 ; \$ 1,419,075.00
B) $416.85;$14,172.90\$ 416.85 ; \$ 14,172.90
C) $417.38;$14,190.75\$ 417.38 ; \$ 14,190.75
D) $834.75;$14,190.75\$ 834.75 ; \$ 14,190.75
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16
Find the future value of the loan.

- $200.00\$ 200.00 loan at 5%5 \% for 5 months

A) $1004.17\$ 1004.17
B) $209.17\$ 209.17
C) $204.17\$ 204.17
D) $250.00\$ 250.00
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17
Find the future value of the loan.

- $6100\$ 6100 loan at 7.5%7.5 \% for 9 months

A) $10,217.50\$ 10,217.50
B) $6474.32\$ 6474.32
C) $6443.13\$ 6443.13
D) $6448.13\$ 6448.13
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18
Find the future value of the loan.

- $700\$ 700 loan at 4.25%4.25 \% for 7 months

A) $908.25\$ 908.25
B) $722.35\$ 722.35
C) $717.35\$ 717.35
D) $718.93\$ 718.93
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19
Find the future value of the loan.

- $39,900\$ 39,900 loan at 5.5%5.5 \% for 4 months.

A) $40,631.50\$ 40,631.50
B) $406,315.00\$ 406,315.00
C) $48,678.00\$ 48,678.00
D) $113,050.00\$ 113,050.00
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20
Find the present value of the future amount. Assume 365 days in a year. Round to the nearest cent.

- $24,000\$ 24,000 for 11 months; money earns 6%6 \%

A) $22,857.14\$ 22,857.14
B) $22,641.51\$ 22,641.51
C) $1251.18\$ 1251.18
D) $22,748.82\$ 22,748.82
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21
Find the present value of the future amount. Assume 365 days in a year. Round to the nearest cent.

- $300\$ 300 for 9 months; money earns 2%2 \%

A) $4.43\$ 4.43
B) $296.05\$ 296.05
C) $294.12\$ 294.12
D) $295.57\$ 295.57
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22
Find the present value of the future amount. Assume 365 days in a year. Round to the nearest cent.

- $27,000\$ 27,000 for 140 days; money earns 2%2 \%

A) $26,794.45\$ 26,794.45
B) $205.55\$ 205.55
C) $26,795.91\$ 26,795.91
D) $26,470.59\$ 26,470.59
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23
Find the present value of the future amount. Assume 365 days in a year. Round to the nearest cent.

- $300\$ 300 for 327 days; money earns 3%3 \%

A) $291.26\$ 291.26
B) $292.17\$ 292.17
C) $292.15\$ 292.15
D) $7.85\$ 7.85
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24
Find the present value of the future amount. Assume 365 days in a year. Round to the nearest cent.

- $19,000\$ 19,000 for 11 months; money earns 5.6%5.6 \%

A) $18,072.29\$ 18,072.29
B) $18,152.87\$ 18,152.87
C) $18,944.00\$ 18,944.00
D) $17,992.42\$ 17,992.42
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25
Find the present value of the future amount. Assume 365 days in a year. Round to the nearest cent.

- $25,162\$ 25,162 for 147 days; money earns 6.8%6.8 \%

A) $24,491.27\$ 24,491.27
B) $670.73\$ 670.73
C) $23,559.93\$ 23,559.93
D) $24,495.72\$ 24,495.72
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26
The given Treasury bill was sold in April of this year. Find (i) the price of the T-bill, and (ii) the actual interest rate paid by the Treasury. Round dollar amounts to the nearest cent and interest rates to the nearest thousandth.

-Three-month $3000 T\$ 3000 \mathrm{~T} -bill with discount rate 0.125%0.125 \%

A) (i) $2998.88\$ 2998.88 ;
(ii) About 0.15%0.15 \%
B) (i) $2999.91\$ 2999.91 ;
C) (i) $2999.06\$ 2999.06 ;
(ii) About 0.013%0.013 \%
(ii) About 0.125%0.125 \%
D) (i) $3000.94\$ 3000.94 ;
(ii) About 0.125%0.125 \%
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27
The given Treasury bill was sold in April of this year. Find (i) the price of the T-bill, and (ii) the actual interest rate paid by the Treasury. Round dollar amounts to the nearest cent and interest rates to the nearest thousandth.

-Six-month $12,000 T\$ 12,000 \mathrm{~T} -bill with discount rate 0.110%0.110 \%

A) (i) $12,006.60\$ 12,006.60 ;
B) (i) $11,999.34\$ 11,999.34 ;
(ii) About 0.11%0.11 \%
(ii) About 0.011%0.011 \%
C) (i) $11,993.40\$ 11,993.40 ;
D) (i) $11,992.08\$ 11,992.08 ;
(ii) About 0.11%0.11 \%
(ii) About 0.132%0.132 \%
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28
The given Treasury bill was sold in April of this year. Find (i) the price of the T-bill, and (ii) the actual interest rate paid by the Treasury. Round dollar amounts to the nearest cent and interest rates to the nearest thousandth.

-Six-month $10,000 T\$ 10,000 \mathrm{~T} -bill with discount rate 0.085%0.085 \%

A) (i) $10,004.25\$ 10,004.25 ;
(ii) About 0.085%0.085 \%
B) (i) $9994.90\$ 9994.90 ;
C) (i) $9999.58\$ 9999.58 ;
(ii) About 0.009%0.009 \%
(ii) About 0.102%0.102 \%
D) (i) $9995.75\$ 9995.75 ;
(ii) About 0.085%0.085 \%
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29
The given Treasury bill was sold in April of this year. Find (i) the price of the T-bill, and (ii) the actual interest rate paid by the Treasury. Round dollar amounts to the nearest cent and interest rates to the nearest thousandth.

-One-year $5000 T\$ 5000 \mathrm{~T} -bill with discount rate 0.095%0.095 \%

A) (i) $5004.75\$ 5004.75 ;
(ii) About 0.095%0.095 \%
B) (i) $4995.25\$ 4995.25 ;
(ii) About 0.095%0.095 \%
C) (i) $4994.30\$ 4994.30 ;
D) (i) $4999.53\$ 4999.53 ;
(ii) About 0.114%0.114 \%
(ii) About 0.01%0.01 \%
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30
Solve the problem.

-How much must Harry's Hardware deposit at 3.5%3.5 \% interest for 210 days in order to earn $500.00\$ 500.00 interest? Round to the nearest dollar.

A) $12,245\$ 12,245
B) $14,286\$ 14,286
C) $24,490\$ 24,490
D) $24,830\$ 24,830
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31
Solve the problem.

-Novelties-and-Such borrowed $300\$ 300 for 100 days and paid $2.88\$ 2.88 in interest. Find the rate of interest on the loan. Round to the nearest tenth.

A) 3.0%3.0 \%
B) 3.7%3.7 \%
C) 4.0%4.0 \%
D) 3.5%3.5 \%
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32
Solve the problem.

-Allan borrowed $4800\$ 4800 from his father to buy a car. He repaid him after 10 months with interest of 10%10 \% . Find the total amount he repaid.

A) $5160.00\$ 5160.00
B) $5200.00\$ 5200.00
C) $400.00\$ 400.00
D) $5280.00\$ 5280.00
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33
Solve the problem.

-Tuition of $3500\$ 3500 is due when the spring term begins, in 2 months. What amount should a student deposit today, at 8%8 \% , to have enough to pay tuition?

A) $3240.74\$ 3240.74
B) $3453.95\$ 3453.95
C) $3476.82\$ 3476.82
D) $46.05\$ 46.05
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34
Solve the problem.

-Ted owes $15,000\$ 15,000 to Mary. The loan is payable in 1 year at 10%10 \% . Mary needs cash, so 10 months before the loan is payable she goes to her bank which will pay her the maturity value of the note less a 11%11 \% discount fee. Find the amount Mary will receive.

A) $13,475.00\$ 13,475.00
B) $1512.50\$ 1512.50
C) $14,987.50\$ 14,987.50
D) $14,836.25\$ 14,836.25
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35
Solve the problem.

-A company has ordered 5 new personal computers at a cost of $1700\$ 1700 each. They will not be delivered for 11 months. What amount should the firm deposit in an account paying 7.32%7.32 \% to have enough money to pay for them?

A) $4112.04\$ 4112.04
B) $7965.51\$ 7965.51
C) $8011.31\$ 8011.31
D) $7920.24\$ 7920.24
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36
Solve the problem.

-A $8920\$ 8920 note is signed, for 40 days, at a discount rate of 6.5%6.5 \% . Find the proceeds.

A) $8340.20\$ 8340.20
B) $8856.46\$ 8856.46
C) $8920.00\$ 8920.00
D) $8855.58\$ 8855.58
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37
Solve the problem.

-A note with a face value of $9000\$ 9000 was discounted at 5%5 \% . If the discount was $185\$ 185 , find the length of the loan in days.

A) 180 days
B) 150 days
C) 120 days
D) 148 days
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38
Solve the problem.

-Leon Harding receives proceeds of $4842\$ 4842 after signing a 120 -day note for $5000\$ 5000 . Find the discount rate. Round to the nearest tenth.

A) 9.6%9.6 \%
B) 7.6%7.6 \%
C) 4.8%4.8 \%
D) 3.2%3.2 \%
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39
Solve the problem.

-Mark Golden needs $7842.71\$ 7842.71 to pay for remodeling work. His bank loans money at a discount rate of 7%7 \% for 150 days. Find the face value of a loan so he will have $7842.71\$ 7842.71 .

A) $8078.33\$ 8078.33
B) $8391.70\$ 8391.70
C) $7842.71\$ 7842.71
D) $8075.00\$ 8075.00
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40
Find the compound amount for the deposit. Round to the nearest cent.

- $15,000\$ 15,000 at 3%3 \% compounded annually for 19 years

A) $26,302.59\$ 26,302.59
B) $25,536.50\$ 25,536.50
C) $23,550.00\$ 23,550.00
D) $23,100.00\$ 23,100.00
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41
Find the compound amount for the deposit. Round to the nearest cent.

- $4000\$ 4000 at 5%5 \% compounded semiannually for 12 years

A) $7183.43\$ 7183.43
B) $7234.90\$ 7234.90
C) $5379.56\$ 5379.56
D) $6400.00\$ 6400.00
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42
Find the compound amount for the deposit. Round to the nearest cent.

- $1900\$ 1900 at 5%5 \% compounded quarterly for 4 years

A) $2309.46\$ 2309.46
B) $1996.80\$ 1996.80
C) $2317.79\$ 2317.79
D) $2280.00\$ 2280.00
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43
Find the compound amount for the deposit. Round to the nearest cent.

- $1200\$ 1200 at 6%6 \% compounded annually for 19 years

A) $3630.72\$ 3630.72
B) $3425.21\$ 3425.21
C) $2568.00\$ 2568.00
D) $2496.00\$ 2496.00
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44
Find the compound amount for the deposit. Round to the nearest cent.

- $7980\$ 7980 at 3%3 \% compounded semiannually for 12 years

A) $11,407.43\$ 11,407.43
B) $11,377.57\$ 11,377.57
C) $10,852.80\$ 10,852.80
D) $9541.03\$ 9541.03
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45
Find the compound amount for the deposit. Round to the nearest cent.

- $8304\$ 8304 at 8%8 \% compounded daily for 4 years

A) $11,435.27\$ 11,435.27
B) $3597.87\$ 3597.87
C) $11,435.67\$ 11,435.67
D) $2252.21\$ 2252.21
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46
Find the compound amount for the deposit. Round to the nearest cent.

- $24,391\$ 24,391 at 8.5%8.5 \% compounded daily for 5 years

A) $15,820.25\$ 15,820.25
B) $37,306.39\$ 37,306.39
C) $16,974.92\$ 16,974.92
D) $44,443.30\$ 44,443.30
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47
Find the compound amount for the deposit. Round to the nearest cent.

- $9000\$ 9000 at 0.78%0.78 \% compounded monthly for 2 years.

A) $9011.70\$ 9011.70
B) $10,514.13\$ 10,514.13
C) $9141.45\$ 9141.45
D) $10,844.94\$ 10,844.94
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48
Find the compound amount for the deposit. Round to the nearest cent.

- $110,000\$ 110,000 at 1.41%1.41 \% compounded quarterly for 5 years.

A) $111,952.47\$ 111,952.47
B) $145,548.70\$ 145,548.70
C) $117,976.80\$ 117,976.80
D) $118,020.27\$ 118,020.27
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49
Find the compound interest earned by the deposit. Round to the nearest cent.

- $11,000\$ 11,000 at 3%3 \% compounded annually for 13 years

A) $4290.00\$ 4290.00
B) $4683.37\$ 4683.37
C) $3960.00\$ 3960.00
D) $5153.87\$ 5153.87
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50
Find the compound interest earned by the deposit. Round to the nearest cent.

- $16,000\$ 16,000 at 8%8 \% compounded semiannually for 6 years

A) $9389.99\$ 9389.99
B) $9616.52\$ 9616.52
C) $4245.10\$ 4245.10
D) $7680.00\$ 7680.00
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51
Find the compound interest earned by the deposit. Round to the nearest cent.

- $1400\$ 1400 at 4%4 \% compounded quarterly for 4 years

A) $237.80\$ 237.80
B) $224.00\$ 224.00
C) $241.61\$ 241.61
D) $1456.85\$ 1456.85
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52
Find the compound interest earned by the deposit. Round to the nearest cent.

- $1950\$ 1950 at 3.7%3.7 \% compounded annually for 18 years

A) $1298.70\$ 1298.70
B) $1666.38\$ 1666.38
C) $1226.55\$ 1226.55
D) $1800.18\$ 1800.18
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53
Find the compound interest earned by the deposit. Round to the nearest cent.

- $1260\$ 1260 at 4.1%4.1 \% compounded semiannually for 10 years

A) $516.60\$ 516.60
B) $630.74\$ 630.74
C) $283.48\$ 283.48
D) $623.12\$ 623.12
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54
Find the compound interest earned by the deposit. Round to the nearest cent.

- $4000\$ 4000 at 4%4 \% compounded quarterly for 34\frac{3}{4} year

A) $121.20\$ 121.20
B) $499.46\$ 499.46
C) $480.00\$ 480.00
D) $119.41\$ 119.41
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55
Find the compound interest earned by the deposit. Round to the nearest cent.

- $5000\$ 5000 at 0.81%0.81 \% compounded monthly for 2 years.

A) $1068.16\$ 1068.16
B) $6.75\$ 6.75
C) $81.63\$ 81.63
D) $876.10\$ 876.10
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56
Find the compound interest earned by the deposit. Round to the nearest cent.

- $110,000\$ 110,000 at 1.21%1.21 \% compounded quarterly for 5 years.

A) $29,914.00\$ 29,914.00
B) $6818.01\$ 6818.01
C) $1673.85\$ 1673.85
D) $6849.76\$ 6849.76
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57
Find the interest rate (with annual compounding) that makes the statement true. Round to the nearest tenth whennecessary.

- $8000\$ 8000 grows to $8652.80\$ 8652.80 in 2 years

A) 4%4 \%
B) 4.25%4.25 \%
C) 2.5%2.5 \%
D) 2%2 \%
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58
Find the interest rate (with annual compounding) that makes the statement true. Round to the nearest tenth whennecessary.

- $4692\$ 4692 grows to $5767.67\$ 5767.67 in 6 years

A) 6%6 \%
B) 6.5%6.5 \%
C) 3%3 \%
D) 3.5%3.5 \%
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59
Find the interest rate (with annual compounding) that makes the statement true. Round to the nearest tenth whennecessary.

- $782\$ 782 grows to $1071.53\$ 1071.53 in 10 years

A) 4.75%4.75 \%
B) 3.2%3.2 \%
C) 4.95%4.95 \%
D) 3.5%3.5 \%
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60
Find the interest rate (with annual compounding) that makes the statement true. Round to the nearest tenth whennecessary.

- $611\$ 611 grows to $1621.16\$ 1621.16 in 20 years

A) 2.3%2.3 \%
B) 5.95%5.95 \%
C) 5.5%5.5 \%
D) 5%5 \%
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61
Find the interest rate (with annual compounding) that makes the statement true. Round to the nearest tenth whennecessary.

- $14,000\$ 14,000 grows to $18,814.83\$ 18,814.83 in 10 years

A) 10.5%10.5 \%
B) 3.25%3.25 \%
C) 3%3 \%
D) 10.75%10.75 \%
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62
Find the interest rate (with annual compounding) that makes the statement true. Round to the nearest tenth whennecessary.

- $5000\$ 5000 grows to 10,028.8710,028.87 in 13 years.

A) 5.05%5.05 \%
B) 5.45%5.45 \%
C) 3.8%3.8 \%
D) 5.5%5.5 \%
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63
Find the compound amount and the interest earned when the given investment has continuous compounding.

- $13,000\$ 13,000 at 2.8%2.8 \% for 3 years

A) $14,092.00;$1092.00\$ 14,092.00 ; \$ 1092.00
B) $14,540.67;$1540.67\$ 14,540.67 ; \$ 1540.67
C) $14,139.18;$1139.18\$ 14,139.18 ; \$ 1139.18
D) $13,369.14;$369.14\$ 13,369.14 ; \$ 369.14
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64
Find the compound amount and the interest earned when the given investment has continuous compounding.

- $110,000\$ 110,000 at 4.6%4.6 \% for 17 years

A) $240,442.35;$130,442.35\$ 240,442.35 ; \$ 130,442.35
B) $251,761.03;$141,761.03\$ 251,761.03 ; \$ 141,761.03
C) $11,517.82;$5178.19\$ 11,517.82 ; \$ 5178.19
D) $118,602.00;$8602.00\$ 118,602.00 ; \$ 8602.00
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65
Solve the problem.

-Find the face value (to the nearest thousand dollars) of the 15 -year zero-coupon bond at 4.4%4.4 \% (compounded semiannually) with a price of $20,823\$ 20,823 .

A) $45,800\$ 45,800
B) $45,000\$ 45,000
C) $40,500\$ 40,500
D) $40,000\$ 40,000
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66
Solve the problem.

-Find the face value (to the nearest thousand dollars) of the 20 -year zero-coupon bond at 5.4%5.4 \% (compounded semiannually) with a price of $17,225\$ 17,225 .

A) $50,000\$ 50,000
B) $20,200\$ 20,200
C) $49,500\$ 49,500
D) $20,000\$ 20,000
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67
Solve the problem.

-Find the face value (to the nearest thousand dollars) of the 30 -year zero-coupon bond at 6.2%6.2 \% (compounded semiannually) with a price of $8007\$ 8007 .

A) $60,000\$ 60,000
B) $50,000\$ 50,000
C) $60,800\$ 60,800
D) $50,500\$ 50,500
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68
Solve the problem.

-Find the face value (to the nearest thousand dollars) of the 30 -year zero-coupon bond at 3.7%3.7 \% (compounded semiannually) with a price of $19,975\$ 19,975 .

A) $60,000\$ 60,000
B) $40,800\$ 40,800
C) $60,500\$ 60,500
D) $40,000\$ 40,000
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69
Solve the problem.

-Find the price (to the nearest cent) you should be willing to pay for the 15 -year $10,000\$ 10,000 bond with interest at 4.1%4.1 \% (compounded semiannually).

A) $5440.14\$ 5440.14
B) $940.12\$ 940.12
C) $10,880.27\$ 10,880.27
D) $2995.56\$ 2995.56
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70
Solve the problem.

-Find the price (to the nearest cent) you should be willing to pay for the 15 -year $20,000\$ 20,000 bond with interest at 6.5%6.5 \% ( compounded semiannually).

A) $15,323.51\$ 15,323.51
B) $3023.72\$ 3023.72
C) $511.30\$ 511.30
D) $7661.75\$ 7661.75
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71
Find the APY corresponding to the given nominal rates.

- 5%5 \% compounded semiannually

A) 5.00%5.00 \%
B) 5.12%5.12 \%
C) 5.09%5.09 \%
D) 5.06%5.06 \%
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72
Find the APY corresponding to the given nominal rates.

- 5%5 \% compounded quarterly

A) 5.06%5.06 \%
B) 5.12%5.12 \%
C) 5%5 \%
D) 5.09%5.09 \%
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73
Find the APY corresponding to the given nominal rates.

- 7%7 \% compounded monthly

A) 6.65%6.65 \%
B) 7.3%7.3 \%
C) 8.08%8.08 \%
D) 7.23%7.23 \%
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74
Find the APY corresponding to the given nominal rates.

- 6%6 \% compounded daily (assume 365 days per year)

A) 6.12%6.12 \%
B) 6.2%6.2 \%
C) 7.03%7.03 \%
D) 6.18%6.18 \%
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75
Find the amount that should be invested now to accumulate the following amount, if the money is compounded asindicated.

- $6700\$ 6700 at 5%5 \% compounded annually for 4yr4 \mathrm{yr}

A) $1187.89\$ 1187.89
B) $5512.11\$ 5512.11
C) $8143.89\$ 8143.89
D) $5787.71\$ 5787.71
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76
Find the amount that should be invested now to accumulate the following amount, if the money is compounded asindicated.

- $26,100\$ 26,100 at 5%5 \% compounded annually for 3yr3 \mathrm{yr}

A) $30,214.01\$ 30,214.01
B) $3553.84\$ 3553.84
C) $23,673.47\$ 23,673.47
D) $22,546.16\$ 22,546.16
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77
Find the amount that should be invested now to accumulate the following amount, if the money is compounded asindicated.

- $9000\$ 9000 at 6%6 \% compounded semiannually for 4yr4 \mathrm{yr}

A) $7104.68\$ 7104.68
B) $1895.32\$ 1895.32
C) $11,400.93\$ 11,400.93
D) $7128.84\$ 7128.84
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78
Find the amount that should be invested now to accumulate the following amount, if the money is compounded asindicated.

- $44,000\$ 44,000 at 5%5 \% compounded semiannually for 4yr4 \mathrm{yr}

A) $53,609.73\$ 53,609.73
B) $36,198.91\$ 36,198.91
C) $36,112.85\$ 36,112.85
D) $7887.15\$ 7887.15
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79
Find the amount that should be invested now to accumulate the following amount, if the money is compounded asindicated.

- $3500\$ 3500 at 4%4 \% compounded quarterly for 12yr12 \mathrm{yr}

A) $1329.09\$ 1329.09
B) $2186.09\$ 2186.09
C) $2170.91\$ 2170.91
D) $5642.79\$ 5642.79
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80
Solve the problem. Round to the nearest cent.

-If inflation is 2%2 \% a year compounded annually, what will it cost in 7 years to buy a house currently valued at $63,000\$ 63,000 ?

A) $70,948.23\$ 70,948.23
B) $67,544.53\$ 67,544.53
C) $73,814.54\$ 73,814.54
D) $72,367.20\$ 72,367.20
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Unlock Deck
Unlock for access to all 183 flashcards in this deck.