The amount is computed as shown below:
Present value = Annual income x [ (1 – 1 / (1 + r)n) / r ]
r is computed as follows:
= 12% / 2 (Since the interest is compounded semi annually, hence divided by 2)
= 6% or 0.06
n is computed as follows:
= 20 x 2 (Since the interest is compounded semi annually, hence multiplied by 2)
= 40
So, the amount will be as follows:
= $ 90,000 x [ (1 - 1 / (1 + 0.06)40 ) / 0.06 ]
= $ 90,000 x 15.04629687
= $ 1,354,166.718
Feel free to ask in case of any query relating to this question
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