To calculate the periodic payment of an annuity due, we can use the formula for the present value of an annuity due:
PV = Pmt \times \frac{{1 - (1 + r)^{-n}}} {r}
where:
PV = Present value of the annuity
Pmt = Periodic payment of the annuity due
r = Interest rate per period
n = Number of periods
Given:
PV = N70,000
r = 15\% = 0.15
n = 3
Substitute the given values into the formula:
70,000 = Pmt \times \frac{{1 - (1 + 0.15)^{-3}}} {0.15}
70,000 = Pmt \times \frac{{1 - (1.15)^{-3}}} {0.15}
70,000 = Pmt \times \frac{{1 - 0.6575}} {0.15}
70,000 = Pmt \times \frac{{0.3425}} {0.15}
70,000 = Pmt \times 2.2833
Pmt = \frac{{70,000}} {2.2833}
Pmt \approx 30,641.64
Therefore, the periodic payment of the annuity due is approximately $30,641.64.
\boxed{Pmt \approx 30,641.64}