Answer:
6.5
Explanation:
We can calculate Ex-Rights using following formula:
Ex-Rights = (Current Shares * Shares outstanding + Amount Raised) / (Current Shares + Amount Raised / Subscription Price)
Here
Market Value is $100
Shares Outstanding are 25 million
Amount Raised is $50 million
Ex-Rights price is $78
By putting values, we have:
$78 = (($100 * 25m) + $50m) / (25m + (50m/Subscription price))
$78 = ($2550) / (25m + ($50m/Subscription Price))
$78 / ($2550m) = 1 / (25m + ($50m/Subscription Price))
0.0000030588 = 1 / (25m + ($50m/Subscription Price))
Taking reciprocal, we have:
1 / 0.0000030588 = (25m + ($50m/Subscription Price))
$32.6923m = $25m + $50m / Subscription Price
$32.6923m - $25m = $50m / Subscription Price
$7.6923m = $50m / Subscription Price
$7.6923m / $50m = 1 / Subscription Price
0.153846 = 1 / Subscription Price
Taking Reciprocal, we have:
Subscription Price = 6.5