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IrinaVladis [17]
3 years ago
12

Union local school district has a bond outstanding with a coupon rate of 3.3 percent paid semiannually and 20 years to maturity.

The yield to maturity on this bond is 3.7 percent, and the bond has a par value of 10000. What is the price of the bonds?

Business
1 answer:
topjm [15]3 years ago
8 0

Answer:

$9,438.22

Explanation:

For computing the price of the bond we need to apply the present value formula i.e be to shown in the attachment below:

Given that,  

Future value = $10,000

Rate of interest = 3.7%  ÷ 2 = 1.85%

NPER = 20 years  × 2 = 40 years

PMT = $10,000 × 3.3% ÷ 2 = $165

The formula is shown below:

= -PV(Rate;NPER;PMT;FV;type)

So, after applying the above formula, the price of the bond is $9,438.22

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2700 thousand bonds with a face value of $1000 each, are sold at 106. The entry to record the issuance is
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Date, bonds sold at a premium

Dr Cash $28620000000

   Cr Bonds payable $2,700,000,000

   Cr Premium on bonds payable $1,62,000,000

Explanation:

The total face value of the bonds is $1,000 x 2700,000 bonds = $2,700,000,000

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the difference between the face value and the actual market price = $2,862,000,000 - $2,700,000,000 = $1,62,000,000 must be recorded as premium on bonds payable (increases the bonds' carrying value)

<h3>What is the difference between market value and face value?</h3>
  • The market value is the actual price at which the security trades on the open market, as well as the price that fluctuates when the yield reacts to changes in interest rates.
  • The face value is determined by the issuing company. It may be the value at which the firm redeems the shares at some point in the future, but there is no guarantee.

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