Microhard has issued a bond with the following characteristics: Par: $1,000 Time to maturity: 21 years Coupon rate: 9 percent Semiannual payments Calculate the price of this bond if the YTM is 6% (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.):
Answer:
Price of bond = $982.63
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 value of bond for Microhard can be worked out as follows:
Step 1
PV of interest payments
Semi annul interest payment
= 9% × 1000 × 1/2
= 45
Semi-annual yield = 6%/2 = 3
% per six months
Total period to maturity (in months)
= (2 × 21) = 42 periods
PV of interest =
45 × (1- (1+0.03)^(-21)/0.03)= 693.6
Step 2
PV of Redemption Value
= 1000 × (1.03)^(-21×2)
=288.95
Price of bond
= 693.6 + 288.95
=982.63
Price of bond = $982.63
Bob has to own his land for 18 years if the price is increasing at the rate of 6% per year.
Given that land was bought by Bob for $16390, the price is increasing at the rate of 6%, price of land today is $46817.
We are required to find the time for which Bob need to own the land so that the price of the land is $46817 today.
Compounding means calculating amount on the principal and the amount added interest.
Rate of increasing the price of land be 6%.
Price when Bob bought the land=$16390.
Price of land today=$46817.
It is like compounding of interest and the sum is calculated as under:
S=P*
In the above equation P is theamount at beginning,r is rate of increasing and n is the number of years.
46817=16390
46817/16390=
=2.8564
=
(Approximately)
From both the sides we will get n=18.
Hence Bob has to own his land for 18 years if the price is increasing at the rate of 6% per year.
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Answer:
Sell the parts without any processing because the profit is higher ($20,000 vs $15,000)
Explanation:
they have two options:
- option A, sell the parts as they are and make $20,000 in profits (= $120,000 - $100,000).
- option B, further process the parts by spending $75,000 and sell them for $190,000, and make only $15,000 in profits (= $190,000 - $100,000 - $75,000).
The best option is A, to sell the parts without any processing because the profit is higher and they do not have to spend more money.
Answer: Yes
Explanation:
The construction company is entitled to compensation because it has a property right to enter and remove minerals.
The investor gave the construction company the right to use the properties on the land, if anything would be done on the land, the construction company should be compensated because they bought the right to do business there. Since the owner granted them the sole right, they are entitled to the resources.
First, you have to calculate the amount of tuition when the student reaches age 18. Do this by multiplying $11,000 by 1.07 each year from age 12 until it reaches age 18. Thus, 7 times.
At age 18: 16,508
At age 19: 17,664
At age 20: 18,900
At age 21: 20,223
Then, we use this formula:
A = F { i/{[(1+i)^n] - 1}}
where A is the monthly deposit each year, F is the half amount of the tuition each year illustrated in the first part of this solution, n is the number of years lapsed.
At age 18:
A = (16508/2) { 0.04/{[(1+0.04)^6] - 1}} = $1,244.389 deposit for the 1st year
Ate age 19
A = (17664/2) { 0.04/{[(1+0.04)^7] = $1,118 deposit for the 2nd year
At age 20:
A = (18900/2) { 0.04/{[(1+0.04)^8] = $1,025 deposit for the 3rd year
At age 21:
A = (18900/2) { 0.04/{[(1+0.04)^8] = $955 deposit for the 4th year
