The current price of an asset is $S_0=$$$10$ and it pays continuous dividend at an annual dividend yield rate $q=3\%.$ The annual riskfree interest rate is $r=4\%.$

Suppose that an investor enters into the short position of a $3-$year forward contract on this asset recently.

$($a$)$ Calculate the delivery price of the contract.

$($b$)$ Suppose that the asset price drops to $S_0=8$ after $1$ year,

$($i$)$ calculate the value of the forward contract $($in short position$)$ at that time.

$($ii$)$ Suppose that the investor thinks that the asset price may raise afterwards and his profit may evaporate, suggest a trading strategy that allows the investor to secure the current profit. Answer this question based on what were discussed in class.