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FINANCIAL MANAGEMENT
COST OF CAPITAL
BY:
SMT.UMA MINAJIGI REUR
HEAD, DEPT. OF COMMERCE& MANAGEMENT
SMT. V G DEGREE COLLEGEFOR WOMEN, KALABURAGI
COST OF PREFERENCE CAPITAL
Cost of Preference Capital
A fixed rate of dividend is payable on preference shares. But payment of dividend is
no legal binding. It is generally paid whenever the company makes sufficient
profits.
If dividend is not paid to the preference shareholders it will affect the fund raising
capacity of the company. Hence, dividends are regularly paid on preference shares
except when there is no profits to pay dividends.
• The Preference Capital carries a cost. The Cost of Preference Capital is
calculated as follows:
Cost of Preference Capital
𝐾𝑝 =
𝑅
𝑃
Where,
Kp = Cost of Preference Capital
R = Rate of Dividend
P = Net Proceeds
Preference Shares may be issued at Par, Premium, Discount.
When Preference Shares are issued at Par:
Cost of Preference Capital
𝐾𝑝 =
𝑅
𝑃
Where,
Kp = Cost of Preference Capital
R = Rate of Dividend
P = Net Proceeds
P = Net Proceeds = Face Value – Floatation Costs
When Preference Shares are issued at Premium:
Cost of Preference Capital
𝐾𝑝 =
𝑅
𝑃
Where,
Kp = Cost of Preference Capital
R = Rate of Dividend
P = Net Proceeds
P = Net Proceeds = Face Value + Premium – Floatation Costs
When Preference Shares are issued at Discount:
Cost of Preference Capital
𝐾𝑝 =
𝑅
𝑃
Where,
Kp = Cost of Preference Capital
R = Rate of Dividend
P = Net Proceeds
P = Net Proceeds = Face Value - Discount – Floatation Costs
23. A company issues 20,000 10% preference shares of Rs.100 each. Cost of issue is Rs.2 per
share. Calculate cost of preference capital, if these are issued :
a. at par
b. at a premium of 10%
c. at a discount of 5%.
Solution:
a. When Preference Shares are issued at Par:
Cost of Preference Capital
𝐾𝑝 =
𝑅
𝑃
Where,
Kp = Cost of Preference Capital
R = Rate of Dividend = 10% (20,00,000 * 10/100 = 2,00,000)
P = Net Proceeds
P = Net Proceeds = Face Value – Floatation Costs
= 20,00,000 – 40,000
= 19,60,000
Cost of Preference Capital
𝐾𝑝 =
𝑅
𝑃
𝐾𝑝 =
2,00,000
19,60,000
∗ 100
𝑲𝒑 = 𝟏𝟎. 𝟐𝟎%
b. When Preference Shares are issued at Premium:
Cost of Preference Capital
𝐾𝑝 =
𝑅
𝑃
Where,
Kp = Cost of Preference Capital
R = Rate of Dividend = 10% (20,00,000 * 10/100 = 2,00,000)
P = Net Proceeds
P = Net Proceeds = Face Value + Premium – Floatation Costs
= 20,00,000 + 10% of 20,00,000 – 40,000
= 20,00,000 + 2,00,000- 40,000
= 21,60,000
Cost of Preference Capital
𝐾𝑝 =
𝑅
𝑃
𝐾𝑝 =
2,00,000
21,60,000
∗ 100
𝑲𝒑 = 𝟗. 𝟐𝟔%
c. When Preference Shares are issued at Discount:
Cost of Preference Capital
𝐾𝑝 =
𝑅
𝑃
Where,
Kp = Cost of Preference Capital
R = Rate of Dividend = 10% (20,00,000 * 10/100 = 2,00,000)
P = Net Proceeds
P = Net Proceeds = Face Value - Discount – Floatation Costs
= 20,00,000 - 5% of 20,00,000 – 40,000
= 20,00,000 - 1,00,000- 40,000
= 18,60,000
Cost of Preference Capital
𝐾𝑝 =
𝑅
𝑃
𝐾𝑝 =
2,00,000
18,60,000
∗ 100
𝑲𝒑 = 𝟏𝟎. 𝟕𝟓%
24. A company raised preference share capital Rs.5,00,000 by
issue of 10% preference shares of Rs.10 each. Calculate the cost
of preference capital when they are issued at:
a. at par
b. at 10% premium
c. at 10% discount.
Cost of Redeemable Preference Shares
Redeemable preference shares are issued which can be redeemed or
cancelled on maturity date. The cost of Redeemable preference
share is calculated as follows:
𝑲𝒑 =
𝑹 +
𝑴𝑽 − 𝑷
𝑵
𝑰
𝟐
(𝑴𝑽 − 𝑷)
Where,
Kp = Cost of Redeemable preference Capital
R = Dividend Rate
N = Number of years to maturity
MV = Maturity value of preference shares
P = Net Proceeds
25. A company issues 20,000, 10% preference shares of Rs.100 each redeemable after 10 years at a
premium of 5%. The cost of issue is Rs.2 per share. Calculate the cost of preference capital.
Solution:
𝑲𝒑 =
𝑹 +
𝑴𝑽 − 𝑷
𝑵
𝑰
2
𝑴𝑽 + 𝑷
Where,
Kp = Cost of Redeemable preference Capital
R = Dividend Rate = 10% of 20,00,000 = (20,00,000 *10/100) = 2,00,000
N = Number of years to maturity = 10 years
MV = Maturity value of preference shares =
= Face Value + Premium
= 20,00,000 + 5% of 20,00,000
= 20,00,000 + 1,00,000
= 21,00,000
P = Net Proceeds = Face Value - Cost of issue
= 20,00,000 – 40,000
= 19,60,000
𝑲𝒑 =
𝟐, 𝟎𝟎, 𝟎𝟎𝟎 +
𝟐𝟏, 𝟎𝟎, 𝟎𝟎𝟎 − 𝟏𝟗, 𝟔𝟎, 𝟎𝟎𝟎
𝟏𝟎
𝑰
𝟐
(𝟐𝟏, 𝟎𝟎, 𝟎𝟎𝟎 + 𝟏𝟗, 𝟔𝟎, 𝟎𝟎𝟎)
𝑲𝒑 =
𝟐, 𝟎𝟎, 𝟎𝟎𝟎 +
𝟏, 𝟒𝟎, 𝟎𝟎𝟎
𝟏𝟎
𝑰
𝟐
(𝟒𝟎, 𝟔𝟎, 𝟎𝟎𝟎)
𝑲𝒑 =
𝟐, 𝟏𝟒, 𝟎𝟎𝟎
𝟐𝟎, 𝟑𝟎, 𝟎𝟎𝟎
Kp = 0.1054 * 100
Kp = 10.54%
26. A company issues 20,000 7% preference shares of Rs.10 each
at a premium of 10% redeemable after 5 years at par. Compute the
cost of preference capital.
27. A company issues 10,000 10% preference shares of Rs.10 each
redeemable at the end of the 10th year. From the year of their issue.
The underwriting costs comes to 2%. Calculate the effective cost of
preference share capital.
THANK YOU

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Cost of Preference Capital Soved Problems-kp

  • 1. FINANCIAL MANAGEMENT COST OF CAPITAL BY: SMT.UMA MINAJIGI REUR HEAD, DEPT. OF COMMERCE& MANAGEMENT SMT. V G DEGREE COLLEGEFOR WOMEN, KALABURAGI
  • 3. Cost of Preference Capital A fixed rate of dividend is payable on preference shares. But payment of dividend is no legal binding. It is generally paid whenever the company makes sufficient profits. If dividend is not paid to the preference shareholders it will affect the fund raising capacity of the company. Hence, dividends are regularly paid on preference shares except when there is no profits to pay dividends.
  • 4. • The Preference Capital carries a cost. The Cost of Preference Capital is calculated as follows: Cost of Preference Capital 𝐾𝑝 = 𝑅 𝑃 Where, Kp = Cost of Preference Capital R = Rate of Dividend P = Net Proceeds
  • 5. Preference Shares may be issued at Par, Premium, Discount. When Preference Shares are issued at Par: Cost of Preference Capital 𝐾𝑝 = 𝑅 𝑃 Where, Kp = Cost of Preference Capital R = Rate of Dividend P = Net Proceeds P = Net Proceeds = Face Value – Floatation Costs
  • 6. When Preference Shares are issued at Premium: Cost of Preference Capital 𝐾𝑝 = 𝑅 𝑃 Where, Kp = Cost of Preference Capital R = Rate of Dividend P = Net Proceeds P = Net Proceeds = Face Value + Premium – Floatation Costs
  • 7. When Preference Shares are issued at Discount: Cost of Preference Capital 𝐾𝑝 = 𝑅 𝑃 Where, Kp = Cost of Preference Capital R = Rate of Dividend P = Net Proceeds P = Net Proceeds = Face Value - Discount – Floatation Costs
  • 8. 23. A company issues 20,000 10% preference shares of Rs.100 each. Cost of issue is Rs.2 per share. Calculate cost of preference capital, if these are issued : a. at par b. at a premium of 10% c. at a discount of 5%. Solution: a. When Preference Shares are issued at Par: Cost of Preference Capital 𝐾𝑝 = 𝑅 𝑃 Where, Kp = Cost of Preference Capital R = Rate of Dividend = 10% (20,00,000 * 10/100 = 2,00,000) P = Net Proceeds P = Net Proceeds = Face Value – Floatation Costs = 20,00,000 – 40,000 = 19,60,000 Cost of Preference Capital 𝐾𝑝 = 𝑅 𝑃 𝐾𝑝 = 2,00,000 19,60,000 ∗ 100 𝑲𝒑 = 𝟏𝟎. 𝟐𝟎%
  • 9. b. When Preference Shares are issued at Premium: Cost of Preference Capital 𝐾𝑝 = 𝑅 𝑃 Where, Kp = Cost of Preference Capital R = Rate of Dividend = 10% (20,00,000 * 10/100 = 2,00,000) P = Net Proceeds P = Net Proceeds = Face Value + Premium – Floatation Costs = 20,00,000 + 10% of 20,00,000 – 40,000 = 20,00,000 + 2,00,000- 40,000 = 21,60,000 Cost of Preference Capital 𝐾𝑝 = 𝑅 𝑃 𝐾𝑝 = 2,00,000 21,60,000 ∗ 100 𝑲𝒑 = 𝟗. 𝟐𝟔%
  • 10. c. When Preference Shares are issued at Discount: Cost of Preference Capital 𝐾𝑝 = 𝑅 𝑃 Where, Kp = Cost of Preference Capital R = Rate of Dividend = 10% (20,00,000 * 10/100 = 2,00,000) P = Net Proceeds P = Net Proceeds = Face Value - Discount – Floatation Costs = 20,00,000 - 5% of 20,00,000 – 40,000 = 20,00,000 - 1,00,000- 40,000 = 18,60,000 Cost of Preference Capital 𝐾𝑝 = 𝑅 𝑃 𝐾𝑝 = 2,00,000 18,60,000 ∗ 100 𝑲𝒑 = 𝟏𝟎. 𝟕𝟓%
  • 11. 24. A company raised preference share capital Rs.5,00,000 by issue of 10% preference shares of Rs.10 each. Calculate the cost of preference capital when they are issued at: a. at par b. at 10% premium c. at 10% discount.
  • 12. Cost of Redeemable Preference Shares Redeemable preference shares are issued which can be redeemed or cancelled on maturity date. The cost of Redeemable preference share is calculated as follows: 𝑲𝒑 = 𝑹 + 𝑴𝑽 − 𝑷 𝑵 𝑰 𝟐 (𝑴𝑽 − 𝑷) Where, Kp = Cost of Redeemable preference Capital R = Dividend Rate N = Number of years to maturity MV = Maturity value of preference shares P = Net Proceeds
  • 13. 25. A company issues 20,000, 10% preference shares of Rs.100 each redeemable after 10 years at a premium of 5%. The cost of issue is Rs.2 per share. Calculate the cost of preference capital. Solution: 𝑲𝒑 = 𝑹 + 𝑴𝑽 − 𝑷 𝑵 𝑰 2 𝑴𝑽 + 𝑷 Where, Kp = Cost of Redeemable preference Capital R = Dividend Rate = 10% of 20,00,000 = (20,00,000 *10/100) = 2,00,000 N = Number of years to maturity = 10 years MV = Maturity value of preference shares = = Face Value + Premium = 20,00,000 + 5% of 20,00,000 = 20,00,000 + 1,00,000 = 21,00,000 P = Net Proceeds = Face Value - Cost of issue = 20,00,000 – 40,000 = 19,60,000
  • 14. 𝑲𝒑 = 𝟐, 𝟎𝟎, 𝟎𝟎𝟎 + 𝟐𝟏, 𝟎𝟎, 𝟎𝟎𝟎 − 𝟏𝟗, 𝟔𝟎, 𝟎𝟎𝟎 𝟏𝟎 𝑰 𝟐 (𝟐𝟏, 𝟎𝟎, 𝟎𝟎𝟎 + 𝟏𝟗, 𝟔𝟎, 𝟎𝟎𝟎) 𝑲𝒑 = 𝟐, 𝟎𝟎, 𝟎𝟎𝟎 + 𝟏, 𝟒𝟎, 𝟎𝟎𝟎 𝟏𝟎 𝑰 𝟐 (𝟒𝟎, 𝟔𝟎, 𝟎𝟎𝟎) 𝑲𝒑 = 𝟐, 𝟏𝟒, 𝟎𝟎𝟎 𝟐𝟎, 𝟑𝟎, 𝟎𝟎𝟎 Kp = 0.1054 * 100 Kp = 10.54%
  • 15. 26. A company issues 20,000 7% preference shares of Rs.10 each at a premium of 10% redeemable after 5 years at par. Compute the cost of preference capital. 27. A company issues 10,000 10% preference shares of Rs.10 each redeemable at the end of the 10th year. From the year of their issue. The underwriting costs comes to 2%. Calculate the effective cost of preference share capital.