In: Finance
Having the following data:-
A $100.0 par value preferred stock with 10.0% dividend & a 15.0% required return.
A $1.0 par value common stock with $3.0 EPS; a 5.0% risk-free rate; a 6.0% Market Risk-Premium; a 40.0% pay-out ratio; a 5.0% constant growth in EPS & dividend per share (g); Beta is 1.40.
A 20 years 6.0% coupon debenture (Non-guaranteed corporate bond) with a Yield-to-maturity (YTM) of 5.0%.
Answer the following questions:-
1 - The preferred stock's price is ???
2 - The common stock's price is ???
3 - The required return on the market is ????
4 - The debenture's price is ????
5 - The debenture's discount / premium is???
Q1) price of preferred stock = dividend% × par value / cost of preferred stock
= 10% * 100 / 0.15
= 10 / 0.15
= $66.67
Q2) EPS = $3
Payout ratio = 40%
Dividend= payout ratio × EPs
= 40% × 3
= $1.2
Expected return= risk free rate + beta (market risk premium
= 5% + 1.4 (6%)
= 5% + 8.4%
= 13.4%
Price = dividend paid (1+growth rate) / Cost of equity - growth rate
= 1.2 (1+0.05) / 0.134 - 0.05
= 1.2(1.05) / 0.084
= 1.26/0.084
= $15
C) Expected return = risk free rate + beta (market return - risk free rate)
13.4% = 5% + 1.4 (market return - 5%)
13.4% - 5% = 1.4 market return - 7%
8.4% + 7% = 1.4 market return
Market return= 15.4% / 1.4
= 11%
D) Using financial calculator to calculate the price of debenture
Inputs: N= 20
I/y= 5%
Pmt= 6% × 1,000 = 60
Fv= 1,000
We get, the Price of debenture as $1,124.62
E) The debenture is issued at a premium, as the present value is more than face value or par value and also because ytm is less than coupon rate. The debenture is issued at a premium of $124.62 or 112.462% of face value or par value.