A publicly traded tech company called Computer plc is considering which source

of finance they should use to raise funds for an exciting investment opportunity

with an initial investment of $200$ million. The company has just paid a dividend

of $1$ per share out of Earnings per share of $3.$ The company$$s return on equity

is $7\%$ while the required return of its equity holders is $5\%.$ The company has $1$

million shares. The first option is to raise finance through a rights issue in which

existing shareholders will be offered the opportunity to subscribe to $1$ new share

for every $3$ they already own. The shares will be offered at a $10\%$ discount.

$($a$)$ Calculate the current share price