Answer:
Price of bond = $ 924.50
Explanation:
<em>The value of the bond is the present value(PV) of the future cash receipts expected from the bond. The value is equal to present values of interest payment plus the redemption value (RV). </em>
Value of Bond = PV of interest + PV of RV
The price of the bond can be worked out as follows:
Step 1
PV of interest payments
annul interest payment = 6.4 % × 1,000 = 64
Annual yield = 7.5%
Total period to maturity (in years) =10
PV of interest =
64 × (1- (1.075)^(-10)/)/0.075= 439.30
Step 2
PV of Redemption Value
= 1,000× (1.075)^(-10) =
485.19
Step 3
Price of bond
439.30 + 485.19 =$924.49
Price of bond = $ 924.50
Answer:
a. 4.94%
b. 11.48%
Explanation:
Here in this question, we are interested in calculating the pretax cost of debt and cost of equity.
We proceed as follows;
a. From the question;
The debt equity ratio = 1.15
since Equity = 1 ; Then
Total debt + Total equity = 1 + 1.15 = 2.15
Mathematically ;
WACC = Cost of equity x Weight of equity + Pretax Cost of debt x Weight of debt x (1-Tax rate)
Where WACC = 8.6%
Cost of equity = 14%
Weight of equity = 1/(total debt + total equity) = 1/(1+1.15) = 1/2.15
Pretax cost of debt = ?
Weight of debt = debt equity ratio/total cost of debt = 1.15/2.15
Tax rate = 21% = 0.21
Substituting these values, we have;
8.6% = 14% x 1/2.15 + Pretax cost of debt x 1.15/2.15 x (1-21%)
8.6% = 14% x 1/2.15 + Pretax cost of debt x 1.15/2.15 x (1-21%)
Pretax cost debt = (8.6%-6.511628%)/(1.15/2.15 x (1-21%))
Pretax cost of debt = 4.94%
b. WACC = Cost of equity x Weight of equity + After tax Cost of debt x Weight of debt
8.6% = Cost of equity x 1/2.15 + 6.1% x 1.15/2.15
Cost of equity = (8.6%-3.26279%)/(1/2.15)
Cost of equity = 11.48%
Answer and Explanation:
The computation of the expected return and the standard deviation is given below:
the expected return is
= $90,000 × 13% + $60,000 × 6.6%
= $15,660.00
And,
standard deviation of return is
= $90,000 × 13% × 44% + $60,000 × 6.6%
= $5,148 + $3,960
= $9,108.00
In this way it should be calculated
Answer:
6%
Explanation:
Data provided as per question is as given below:-
Redeemed amount = $1,000
Sale value of Bond = $687.25
Number of year = 5
The computation of interest rate is as shown below:-
Interest rate = (Redeemed amount ÷ Sale value of bond) ^ (1 ÷ Number of Year) - 1
= (1,000 ÷ 747.25) ^ (1 ÷ 5) - 1
= (1.338) ^ (0.2) - 1
= 0.06
= 6%