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On January 1 of this year, Barnett Corporation sold bonds with a face value of $500,000 and a coupon rate of 7 percent. The bonds mature in 10 years and pay interest annually on December 31. Barnett uses the effective-interest amortization method. Ignore any tax effects. Each case is independent of the other cases.

Complete the table below using the factors provided.

Case A (7%) Case B (8%) Case C (6%)
Cash received at issuance
Interest expense recorded in Year 1
Cash paid for interest in Year 1
Cash paid at maturity for bond principal

Sagot :

anthougo

Answer:

Barnett Corporation

Table

                                                       Case A (7%)  Case B (8%)   Case C (6%)

Cash received at issuance             $500,000  $466,449.59  $536,800.44

Interest expense recorded in Year 1  35,000        37,315.97       32,208.03

Cash paid for interest in Year 1          35,000       35,000            35,000

Cash paid at maturity for

  bond principal                              $500,000  $500,000       $500,000  

Explanation:

a) Data and Calculations:

Face value of bonds issued = $500,000

Coupon rate = 7% annually

Maturity period = 10 years

                                                       Case A (7%)  Case B (8%)   Case C (6%)

Cash received at issuance             $500,000  $466,449.59  $536,800.44

Interest expense recorded in Year 1  35,000        37,315.97       32,208.03

Cash paid for interest in Year 1          35,000       35,000            35,000

Cash paid at maturity for

  bond principal                              $500,000  $500,000       $500,000  

Bonds Issuance                          At Par value    At Discount   At Premium

Cash received at issuance:

Case A (7%) Issued at par value

PV = Face Value/(1+0.07)^10

= $500,000/(1.07)^10

From an online calculator:

N (# of periods)  10

I/Y (Interest per year)  7

PMT (Periodic Payment)  35000

FV (Future Value)  500000

Results

PV = $500,000.00

Sum of all periodic payments $350,000.00

Total Interest $350,000.00

Interest expense for the first year = $35,000 ($500,000 * 7%)

Case B (8%) Issued at a discount

PV = Face Value/(1+0.08)^10

= $500,000/(1.08)^10

From an online calculator:

N (# of periods)  10

I/Y (Interest per year)  8

PMT (Periodic Payment)  35000

FV (Future Value)  500000

Results

PV = $466,449.59

Sum of all periodic payments $350,000.00

Total Interest $383,550.41

Interest expense for the first year = $37,315.97 ($466,449.59 * 8%)

Case C (6%) Issued at a premium

PV = Face Value/(1+0.06)^10

= $500,000/(1.06)^10

From an online calculator:

N (# of periods)  10

I/Y (Interest per year)  6

PMT (Periodic Payment) = 35000

FV (Future Value)  

500000

Results

PV = $536,800.44

Sum of all periodic payments = $350,000.00

Total Interest $313,199.56

Interest expense for the first year = $32,208.03 ($536,800.44 * 6%)

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