Answer:
value of the bond = $2,033.33
Explanation:
We know,
Value of the bond,
Here,
Face value of par value, FV = $2,000
Coupon payment, I = Face value or Par value × coupon rate
Coupon payment, I = $2,000 × 6.04%
Coupon payment, I = $128
yield to maturity, i = 6.1% = 0.061
number of years, n = 15
Therefore, putting the value in the formula, we can get,
or,
or,
or,
or, $711.9738 + 1,321.3635
Therefore, value of the bond = $2,033.33
Answer: Machine B because it has the lower Present Value
Explanation:
<h2>Machine A</h2>= Present Value of income - Present Value of Costs
Present value of Income;
Sold for $5,000 after 10 years.
= 5,000/ (1 + 8%)^10
= $2,315.97
Present Value of Costs;
Purchased for $48,000.
Maintenance of $1,000 per year for years.
Present value of maintenance= 1,000 * Present value factor of annuity, 10 years, 8%
= 1,000 * 6.7101
= $6,710.10
Machine A Present Value
= 2,315.97 - 6,710.10 - 48,000
= -$52,394
<h2>Machine B</h2>No salvage value.
Present Value of costs
Purchased for $40,000.
Present value of maintenance = (4,000 / (1 + 8%)^3) + (5,000 / ( 1 + 8)^6) + (6,000 / ( 1 + 8%)^8)
= -$9,567.79
Present Value = -40,000 - 9,567.79
= -$49,568
Answer:
<em>$111.11 or 111.11% of face value</em>
Explanation:
Assuming the face value of $100 for all bonds (without loss of generality)
If the two year coupon bond is repackaged as a one year zero coupon bond paying $12 after one year and another two year bond paying $112 after 2 years, the price of the two zero coupon bonds are given as
Price of one year Zero coupon bond = 12/1.05 = $11.43 (one year ZCB has YTM of 5%)
Price of two year Zero coupon bond = 112/1.06^2 = $99.68 (two year ZCB has YTM of 6%)
So, one can sell the repackaged bonds at a price = $11.43+ $99.68 = $111.11 or 111.11% of face value
