Booker Petroleum Refiners (BPR) has an issue of 8-year, 11% annual coupon bonds outstanding. The bonds, which were originally is
sued 12 years ago, have a face value (FV) of $1,000, a yield to maturity (YTM) of 7%, and are noncallable. What is the current market price of BPR’s bonds? (Note: Do not round your intermediate calculations.)
1 answer:
Answer:
$1,238.85
Explanation:
In this question, we use the present value formula which is shown in the spreadsheet.
The NPER represents the time period.
Given that,
Future value = $1,000
Rate of interest = 7%
NPER = 8 years
PMT = $1,000 × 11% = $110
The formula is shown below:
= -PV(Rate;NPER;PMT;FV;type)
So, after solving this, the answer would be $1,238.85
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Answer:
The first five terms of the sequence are:
First year: $3270.00
Second year: $3564.30
Third year: $3885.09
Fourth year: $4234.75
Fifth year: $4615.87
Explanation:
When we're dealing with compound interest rates we're dealing with interests being re-invested into the original investment. This means that the new interests of one period will bear interests in the next period. This can be simply calculated using the compound interest formula.
The formula for compound interest rates is
Where:
<em>P</em> is the principal amount being invested,
<em>i</em> is the interest rate,
<em>n</em> is the number of years.
So for the first year we replace in the formula with the given values:
3000 × = $3270
And for the rest of the years we only need to modify the value of <em>n</em>.
For the second year we'd have:
3000 × = $3564.3
And so on.