Question: please check if my answer is correct or not A stock currently sells for $80 and will pay $5-dividend in year 1 and year 2.

please check if my answer is correct or not

A stock currently sells for $80 and will pay $5-dividend in year 1 and year 2. 3-year European put option on this stock has the strike price of $80. The put price is $4. The risk-free rate is 2% per annum. Is there an arbitrage? If so, find the arbitrage strategy and its cash flows.

Lower bound

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

= 5.046103249

Upper bound

= 75.34116269

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

Arbitrage strategy:

0

1

2

3

long put

-4

0

0

MAX(80-ST,0)

buy stock

-70.2951

4.900993367

4.803947

ST

sell bond that pays K at T

75.34116

0

0

-80

net

1.046103

4.900993367

4.803947

max(80,ST)

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