What is the future value of a R 75 000 deposit made every 6 months for 3 years using an annual rate of 10% compounded semi-annually?​

Respuesta :

Answer:

The future value is: RS 132867.075

Step-by-step explanation:

Given

[tex]PV = 75000[/tex] --- present value

[tex]r = 10\%[/tex] --- annual rate

[tex]n = 6[/tex] --- number of times compounded (3 years/ 6 months)

Required

The future value

This is calculated as:

[tex]FV =PV * (1 + r)^n[/tex]

[tex]FV = 75000 * (1 + 10\%)^6[/tex]

[tex]FV = 75000 * (1 + 0.10)^6[/tex]

[tex]FV = 75000 * (1.10)^6[/tex]

[tex]FV = 132867.075[/tex]

Hence, the future value is: RS 132867.075

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