CA
64 Points
Joined August 2015
Solution along with reasoning:
Equity= 750
Debt = 1200
After buy-back Debt-Equity ratio of 2:1 should be maintained
So, Minimum equity to be maintained =1200/2 => 600
As present equity (750) > Minimum equity to be maintained (600), buy-back of shares can be made.
If buyback is made out of
- Distributable profits (Revenue Reserves)
- Securities Premium
then,
an amount equal to face value (nominal value) of shares bought back should be transferred to “Capital Redemption Reserve (CRR)”
As Companies Act, 2013,
After buy-back Debt-Equity ratio of 2:1 should be maintained
Further, “CRR” is not part of “Equity” hence a Linear programming equation needs to be formulated
Because you should determine both Amount available for buy back and amount to be transferred to “CRR” at the same time, as there exists a cross linkage
(Just like In case of Cross Holdings in Amalgamation where the net assets are computed by using a linear programming equation)
So, on the basis of above reason/logic,
Amount available for buy-back =
((Present equity – amount required to be transferred to CRR)) –min equity req to be maintained
Further
Amount equal to face value of shares bought back should be transferred to CRR
So, on the basis of above reason/logic,
Amount available for buy-back x Face value per share = amount required to be transferred to CRR
Buy-back price per share
Let,
Amount available for buy-back be “x”
Amount required to be transferred to CRR be “y”
- X =(present equity – y)- min equity to be maintained
- Y= ________x________ X face value per share
Buy-back price per share
- X =(750-y)-600
- Y= __ x__ x 10
-
By solving
- (Amount available for buy-back )= 112.50
- (Amount required to be transferred to CRR )= 37.50
Number of shares eligible for buy-back under debt-equity test
= Amount available for buy-back = 112.50 = 3.75 shares
Buy-back price per share 30