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Chapter 4 Quiz e https://newconnect.mheducation.com/flow/connect.html Problem 4-

ID: 2808758 • Letter: C

Question

Chapter 4 Quiz e https://newconnect.mheducation.com/flow/connect.html Problem 4-4 (LO4.3) For each of these stuations, determine the savings amount. Use the time value of money tables in Exhibit 1-A. Exhibit 1-5 and Exhlbt a. What would be the value of a savings account started with $700, earning 4 percent (compounded annually) after 10 years? (Round FV factor to 3 decimal places and final answer to the nearest whole dollar b. Brenda Young desires to have $i5.000 eight years from now for her daughter's college fund. if she will earn 6 percent (compounded annually on her money,what amount should she deposit now? Use the present value of a single amount calculation Round PV foctor to 3 decimal places and tral answer to the nearest whole dollar) c. What amount would you heve if you deposited $1,800 a year for 30 years at B percent to 3 decimal places and tinal answer to the nearest whole dolary unded annually) Round FVA factor Future value Next

Explanation / Answer

Answer to Part a.

Future Value = Present Value * (1 + r) ^n
Future Value = ??
Present Value = $700
Rate (r) = 4%
Time (n) = 10 Years

Future Value = $700 * (1 + 0.04) ^10
Future Value = $700 * 1.04 ^10
Future Value = $700 * 1.480
Future Value = $1,036

Answer to Part b.

Future Value = Present Value * (1 + r) ^n
Future Value = $15,000
Present Value =??
Rate (r) = 6%
Time (n) = 8 Years

$15,000 = Present Value * (1 + 0.06) ^8
$15,000 = Present Value * 1.06 ^8
$15,000 = Present Value * 1.594
Present Value = $9,410

Answer to Part c.

Future Value = Present Value * (1 + r) ^n
Future Value = ??
Present Value = $1,800
Rate (r) = 8%
Time (n) = 30 Years

Future Value = $1,800 * (1 + 0.08) ^30
Future Value = $1,800 * 1.08^30
Future Value = $1,800 * 10.063
Future Value = $18,113

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