please check if my answer is correct or not

A stock index is currently 28,630, and it provides continuous dividends with 2% dividend yield. 1-year European call option on the index with the strike price of 28,600 sells for $20. The risk-free rate is 1% per annum. If there is no arbitrage, what should be the price of 1-year European put option with the same strike price?

Lower bound

=max(S0*e^-q*e^rT-K*e^-rT,0)

= 29.70149501

Upper bound

= S0*e^-q*e^rT

= 28345.12674

Since the put price is below the lower bound, arbitrage opportunity exists.

Arbitrage strategy:

	0	T
Long call	-20	max(ST-28600,0)
buy bond that pays K at T	-28315.4	28600
sell stock	28345.13	-ST
net	9.701495	max(300,ST)