On January $12022,$ the company bought $6,400,000$ of the ordinary share capital of RosehillLimited at a price of $$15,250,000$ and $35\%$ of the ordinary shares of Grane Limited for $$3,200,000.$The total share capital of Rosehill Limited was $8,000,000$ $$1$ ordinary shares. At the date of theacquisition the retained earnings of Rosehill Limited was $$458,000$ and the general reserve balancewas $$298,000.$ Grane Limited is a small distribution company in Westmoreland with a share capitalof $1,600,000$ $$1$ ordinary shares.The purchase consideration for Rosehill Limited was satisfied by the issue of $4$ ordinary shares inPrime Associates Limited for every $7$ shares acquired in Rosehill Limited. At this date the marketprice of a share in PAL was $$4\mathrm{.}50.$ The balance on the purchase consideration represents an issueof $$9,000,000$ in $9\%$ loans stocks by PAL to the shareholders of Rosehill Limited and a deferredcash payment, to be satisfied in $2$ years time $($appropriate discount rate $9\%).$Calculate the goodwill acquired by PAL on the acquisition of Rosehill limited$,$ if the fairvalue of Non$-$Controlling Interest $($NCI$)$ was $$6,800,000.$