You are given the following information: 

(i) The current bid price and ask price of stock X are 50 and 51, respectively. 

(ii) A dividend of 3 will be paid 6 months from now. 

(iii) The continuously compounded risk-free interest rate is 6%. 

(iv) The one-year forward price on stock X is 55. 

(v) The only transaction costs are: 

• A $1.5 transaction fee, paid at time 0, for buying or selling each unit of stock X. 

• A $1 transaction fee, paid at time 0, for buying or selling a forward contract on stock X. 

Describe how arbitrage profits in one year can be locked in using actions taken at time 0 only. Calculate the resulting profit (per stock unit).