Showing posts with label 52.3 Cost of Capital Formulas. Show all posts
Showing posts with label 52.3 Cost of Capital Formulas. Show all posts

Tuesday, 29 December 2015

Cost of Redeemable Debt

Cost of Redeemable Debt Formula


Cost of redeemable debt is calculated with the help of IRR formula (Internal Rate of return). The formula of IRR has given below

Formula = L +(NPVL/NPVH-NPVL)x (H-L)

RL= Lower rate of Return
RH= Higher Rate of Return
NPVL = NPV with Lower rate of Return
NPVH= NPV at higher rate of return

Cost of irredeemable debt process has been explained by example;


ABC & Co Quoted
102
Coupon Rate
10%
Tax rate on companies
30%
Maturity
5 years

       Solution
Particulars
Value
Dis. 5%
PV @ 5%
Dis. 10%
PV @ 10
Market Value
 102
1
102
1
102
Interest
  (7)
4.329
(30.30)
3.791
(26.53)
Redemption Value
(100)
.784
(78.40)
.621
(62.1)



(6.7)

13.37

      Formula = L +(Nl/Nh-Nl)x (H-L)
      = 5% + (6.7/20.07)(5%)
      =.05+.323(.05)
      =6.65%


Cost of irredeemable Debt

Cost of irredeemable Debt


Irredeemable debt is never paid pack (theoretical concept). Cost of irredeemable debt is calculated by the following formula

Io ( 1-T)/Po

Where,
Io= Interest rate
T= Tax Rate
Po= Market value of debt (Ex interest Price)

 Example

Rate of interests = 9%
Value of Debt= 120
Tax Rate =30%

Solution

Io ( 1-T)/Po

= [ 9(1-30%)]/120
=6.3/120
=5.25% (cost of Debt)


CAPM Formula

CAPM Formula


Cost of equity can be calculated by the CAPM (Capital Asset Pricing Model).This methods takes into account market risk.


CAPM = Rf + βe (Rm-Rf)

Rf= Risk Free Rate
Rm= Market Rate
βe = Equity Beta


Example

Market Rate= 9%
Bank Rate= 12%
Equity Beta= 1.3
Calculate Cost of equity?

Solution

=  12% + 1.3 ( 12%-9%)
=12%+3.9%

=15.9%