Find the following values using the equations and then a financial calculator. Compounding/discounting occurs annually
belongs to book: FUNDAMENTALS OF FINANCIAL MANAGEMENT|Eugene F.Brigham, Joel F. Houston|12th Edition| Chapter number:5| Question number:17
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a.) Given: Principal (P) = $600 Interest rate (r) = 6%© Time in years (t) = 1 year Compounding periods (n) = Annually Required: Future value (FV) of investment Formula: FV = P (1 + 1 \ (t} (n} ni Where: FV = future value P = principal r = nominal interest rate n = number of compounding periods per year t = number of years Solve for future value: FIT = P (1 + I) (t)(11) n = $600 (1 + 0.06 (1)(1) 1 = $600(1.06)1 = $636.
b.) Given: Principal (P) = $600 Interest rate (r) = 6%© Time in years (t) = 2 years Compounding periods (n) = Annually Required: Future value (FV) of investment Formula: FV = P (1 + 1 \ (t} (n} ni Where: FV = future value P = principal r = nominal interest rate n = number of compounding periods per year t = number of years Solve for future value: FIT = P (1 + I) (t)(11) n = $600 (1 + 0.06 (2)(1) 1 = $600(1.06)2 = $674.16.
c.) Given: Future value (FV) = $600 Interest rate (r) = 6%© Time in years (t) = 1 year Compounding periods (n) = Annually Required: Present value (PV) of investment Formula: PV = FV (1 + r (t)(n) n l Where: FV = future value PV = present value r = nominal interest rate n = number of compounding periods per year t = number of years Solve for present value: PV = FV (1 + r )(t)(n) —n $600 + 0.06)(1)(1) Cl — 1 _ $600 — (1.06)1- = $566.04
d.) Given: Future value (FV) = $600 Interest rate (r) = 6%© Time in years (t) = 2 years Compounding periods (n) = Annually Required: Present value (PV) of investment Formula: PV = FV (1 + n(t)(11) nl Where: FV = future value PV = present value r = nominal interest rate n = number of compounding periods per year t = number of years Solve for present value: PV =
FV (1 + r )(t)(n) —n
$600 + 0.06)(2" Cl I
_ $600 - (1.06) 2 = $534
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