The merger was justified for several reasons, including the introduction of new systems, cost savings, new products, and BMT$$s strategic interests in Asia, where Gold & Sheeran had a strong presence. Compared to the two companies' individual pre$-$merger budgets, the merged company is expected to save a combined $360$ million per annum by Year $4$ following the acquisition. This estimated saving is attainable at a once$-$off pretax investment of $450$ million spread over $3$ years to achieve synergies $(340$ million in Year $1,70$ million in Year $2,$ and $40$ million in Year $3).$ The annual synergy savings over $3$ years are as follows: $130$ million in Year $1,270$ million in Year $2,$ and $360$ million in Year $3.$ The synergy savings are estimated to grow at a rate of $2\mathrm{.}5\%$ per annum after Year $3.$ Assume a corporate tax rate of $35\%$ and a cost of capital of $10\%,$ then answer the following questions:

What is the incremental value to shareholders of the synergies projected in this merger?

How will the value of the synergies be shared in the proposed transaction in terms of percentage holding, specifically for Gold & Sheeran?