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Question

ne.cenga X xMindTap- Ceng x à Secure https://ng.cengage.com/static/nb/ui/evo/index.html?elSBN-9781337793506id- DTAP ngage mework Click here to read the eBook: Present Values PRESENT AND FUTURE VALUES FOR DIFFERENT INTEREST RATES Find the following values. Compounding/discounting occurs annually. Round your answer nearest cent. a. An initial $600 compounded for 10 years at 10%. 1556 b. An initial $600 compounded for 10 years at 20%. $ 3715.00 C. The present value of $600 due in 10 year at 10%. d. The present value of $1,46S due in 10 years at 20%. e. The present value of $1,465 due in 10 years at 10%. 3799 Define present value. I. The present value is the value today of a sum of money to be received in the future a general is less than the future value. general is greater than the future value. general is equal to the future value. tl. The present value is the value today of a sum of money to be received in the future a t. The present value is the value today of a sum of money to be received in the future a V. The present value is the value in the future of a sum of money to be received today a general is less than the future value

Explanation / Answer

ANSWER -1

Future Value / Compounding = PV * ( 1+i ) ^ n

Present Value = FV / ( 1+i ) ^ n

Where FV = Future Value

           i = Rate

           n = Number of years

           PV = Present Value

A) Future Value = 600 * ( 1.1) ^ 10

                        = 600 * 2.5937 = $1556

B) Future Value = 600 * ( 1.2) ^ 10

                        = 600 * 6.1917 = $ 3715

C) Present Value = 600 / ( 1.1 ) ^ 10

                          =600 * 0.3855 = $ 231

D) Present Value = 1465/ ( 1.2) ^ 10

                          = 1465 * 0 .1615 = $ 237

E) Present Value = 1465/ ( 1.1) ^ 10

                          = 1465 * 0 .3855 = $565

ANSWER 2 - Define present value

Option 1 - The present value is the value today of a sum of money to be received in the future which generally is less than the future value .