40 000 (1 + 0.12 )2×5= 40 000 (1 + 0.12 )10= 40 000 (1 + 0.05)10= 40 000 (1.05)10= 40 000 × 1.628894627= R65 155.78507= R65 155.793. Calculate the future value of R40 000, invested for five years, at 10%per annum, compounded quarterly (i.e., 4 times a year).FV = PV (1 + 𝑖𝑓)𝑓𝑛= 40 000 (1 + 0.14 )4×5= 40 000 (1 + 0.14 )20= 40 000 (1 + 0.025)20= 40 000 (1.025)20= 40 000 × 1.63861644= R65 544.65761= R65 544.664. Calculate the future value of R40 000, invested for five years, at 10%per annum, compounded monthly (i.e., 12 times a year).FV = PV (1 + 𝑖𝑓)𝑓𝑛= 40 000 (1 + 0.112 )12×5= 40 000 (1 + 0.112 )60= 40 000 (1 + 0.008333333)60
Question
40 000 (1 + 0.12 )2×5= 40 000 (1 + 0.12 )10= 40 000 (1 + 0.05)10= 40 000 (1.05)10= 40 000 × 1.628894627= R65 155.78507= R65 155.793. Calculate the future value of R40 000, invested for five years, at 10%per annum, compounded quarterly (i.e., 4 times a year).FV = PV (1 + 𝑖𝑓)𝑓𝑛= 40 000 (1 + 0.14 )4×5= 40 000 (1 + 0.14 )20= 40 000 (1 + 0.025)20= 40 000 (1.025)20= 40 000 × 1.63861644= R65 544.65761= R65 544.664. Calculate the future value of R40 000, invested for five years, at 10%per annum, compounded monthly (i.e., 12 times a year).FV = PV (1 + 𝑖𝑓)𝑓𝑛= 40 000 (1 + 0.112 )12×5= 40 000 (1 + 0.112 )60= 40 000 (1 + 0.008333333)60
Solution
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