To calculate the current bond price, we need to use the formula for the present value of a bond which is:

P = C * (1 - (1 + r/n) ^ -nt) / (r/n) + F / (1 + r/n) ^ nt

Where:
P = price of the bond
C = annual coupon payment
r = yield to maturity (YTM)
n = number of times interest is compounded per period
t = time the money is invested for
F = face value of the bond

Given:
C = 8.89% of the face value. We assume a face value of $1000 (standard for bond prices), so C = $88.9 per year or $44.45 per semiannual period.
r = YTM = 1.22% or 0.0122 (in decimal form) per annum. Since payments are semiannual, the semiannual YTM = 0.0122/2 = 0.0061.
n = 2 times per year (semiannual payments)
t = 10 years, but since payments are semiannual, we have 2*10 = 20 periods.
F = $1000

Substituting these values into the formula, we get:

P = $44.45 * (1 - (1 + 0.0061) ^ -20) / 0.0061 + $1000 / (1 + 0.0061) ^ 20

Calculating the above expression will give us the current bond price.

Question

To calculate the current bond price, we need to use the formula for the present value of a bond which is:

P = C * (1 - (1 + r/n) ^ -nt) / (r/n) + F / (1 + r/n) ^ nt

Where:
P = price of the bond
C = annual coupon payment
r = yield to maturity (YTM)
n = number of times interest is compounded per period
t = time the money is invested for
F = face value of the bond

Given:
C = 8.89% of the face value. We assume a face value of $1000 (standard for bond prices), so C = $88.9 per year or $44.45 per semiannual period.
r = YTM = 1.22% or 0.0122 (in decimal form) per annum. Since payments are semiannual, the semiannual YTM = 0.0122/2 = 0.0061.
n = 2 times per year (semiannual payments)
t = 10 years, but since payments are semiannual, we have 2*10 = 20 periods.
F = $1000

Substituting these values into the formula, we get:

P = $44.45 * (1 - (1 + 0.0061) ^ -20) / 0.0061 + $1000 / (1 + 0.0061) ^ 20

Calculating the above expression will give us the current bond price.

Knowee AI · Accepted Answer

To calculate the current bond price, we need to use the formula for the present value of a bond which is:

P = C * (1 - (1 + r/n) ^ -nt) / (r/n) + F / (1 + r/n) ^ nt

Where:
P = price of the bond
C = annual coupon payment
r = yield to maturity (YTM)
n = number of times interest is compounded per period
t = time the money is invested for
F = face value of the bond

Given:
C = 8.89% of the face value. We assume a face value of $1000 (standard for bond prices), so C = $88.9 per year or $44.45 per semiannual period.
r = YTM = 1.22% or 0.0122 (in decimal form) per annum. Since payments are semiannual, the semiannual YTM = 0.0122/2 = 0.0061.
n = 2 times per year (semiannual payments)
t = 10 years, but since payments are semiannual, we have 2*10 = 20 periods.
F = $1000

Substituting these values into the formula, we get:

P = $44.45 * (1 - (1 + 0.0061) ^ -20) / 0.0061 + $1000 / (1 + 0.0061) ^ 20

Calculating the above expression will give us the current bond price.

Sqeekers Co. issued 10-year bonds a year ago at a coupon rate of 8.89 percent. The bonds make semiannual payments. If the YTM on these bonds is 1.22 percent, what is the current bond price?

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