Solution :- Time period = 5 * 12 / 6 = 10 Semi-annual periods. (Compounded semi-annually)
Rate of interest = 15 % * 6 / 12 = 7.50 % per half-year. (Compounded semi-annually)
Future value = Present value * (1 + Rate of interest)Time period
197000 = Present value * (1 + 7.50 / 100)10
197000 = Present value * (1 + 0.075)10
197000 = Present value * (1.075)10
197000 = Present value * 2.06103 (approx).
Present value = 197000 / 2.06103
Present value = $ 95583.28 (approx).
Conclusion :- Amount to be deposited today in account in the given question = $ 95583.28 (approx).
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