Answer:
The present value at 11% is $3,902.13,$3,479.85 at 16% and $2,615.57 at 30%
Explanation:
The present value formula is given as :
PV=FV/(1+r)^n
Where FV is the future value of cash flows such as the ones given in the question
r is the rate of return at 11%,16% and 30%
n is the applicable time horizon relevant to each of the cash flow.
Find attached spreadsheet for detailed calculations.
Answer:
c. $8.63
Explanation:
Missing word <em>"The forward LIBOR rate is 7%. All rates are compounded semiannually. A. $8.88
, B. $9.12
, C. $8.63
, D. $9.02"</em>
Principal = $1000, FRA Rate = 9 % per annum, LIBOR after 2 years = 7 % per annum, Compounding Frequency: Semi-Annual, Risk-Free Rate = 6 % per annum
The FRA matures 2 years or 24 months from now. Further, the Interest Rate that the FRA hedges will create an interest expense only at the end of the LIBOR loan period which is an additional 6 months after the 24 month period.
Hence, Exchange of Interest Expense at the end of 30 Months = (FRA Rate - LIBOR) x Principal (calculated on a semi-annual basis)
= (0.045 - 0.035) * 1000
= $10
Current Value of FRA = Present Value of Interest Expense at the end of the 30 Months Period
= 10 / [1+(0.06/2)]^(30/6)
= $8.6261
= $8.63
Answer:
Bond Price = $877.3835955 rounded off to $877.380
Explanation:
To calculate the price of the bond, we need to first calculate the coupon payment per period. We assume that the interest rate provided is stated in annual terms. As the bond is an annual bond, the coupon payment, number of periods and r or YTM will be,
Coupon Payment (C) = 0.064 * 1000 = $64
Total periods (n)= 25
r or YTM = 7.5% or 0.075
The formula to calculate the price of the bonds today is attached.
Bond Price = 64 * [( 1 - (1+0.075)^-25) / 0.075] + 1000 / (1+0.075)^25
Bond Price = $877.3835955 rounded off to $877.380
Answer:
$6,750,000
Explanation:
Since it is stated in the question that the 3mn shares will be paid the principal and interest at maturity, and it is not stated the note is compounded, we apply the following simple calculation:
Amount to pay = $4,500,000 + [($4,500,000 × 10%) × 5 years]
= $4,500,000 + [$450,000 × 5 years]
= $4,500,000 + 2,250,000
Amount to pay = $6,750,000
Therefore, the amount should be paid to the stockholders at the end of the fifth year is $6,750,000.
