Suppose that General Motors Acceptance Corporation issued a bond with 10 years until maturity, a face value of $ 1 comma 000,
and a coupon rate of 7.2 % (annual payments). The yield to maturity on this bond when it was issued was 6.4 %. Assuming the yield to maturity remains constant, what is the price of the bond immediately before it makes its first coupon payment? Before the first coupon payment, the price of the bond is $ nothing. (Round to the nearest cent.)
1 answer:
Answer:
$1,053.48
Explanation:
For computing the price of the bond we use the Present value formula which is to be shown in the attachment below:
Given that,
Future value = $1,000
Rate of interest = 6.4%
NPER = 10 years - 1 year = 9 year
PMT = $1,000 × 7.2% = $72
The formula is shown below:
= -PV(Rate;NPER;PMT;FV;type)
After applying the above formula, the price of the bond is $1,053.48
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Answer:
with the new rate we will pay in 58 months.
if there is 2% commision charge: 59.35 = 60 months
Explanation:
Currently we owe 10,000
This will be transfer to a new credit card with a rate of 6.2%
We are going to do monthly payment of 200 dollars each month
and we need to know the time it will take to pay the loan:
We use the formula for ordinary annuity and solve for time:
C $200.00
time n
rate 0.005166667 (6.2% rate divide into 12 months)
PV $10,000.0000
We arrenge the formula and solve as muhc as we can:
Now, we use logarithmics properties to solve for time:
-57.99227477 = 58 months
part B
If there is a charge of 2% then Principal = 10,000 x 102% = 10,200
we use that in the formula and solve:
-59.34880001 = 59.35 months