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Lunna [17]
2 years ago
13

Myriad Solutions, Inc. issued 10% bonds, dated January 1, with a face amount of $320 million on January 1, 2021, for $283,294,72

0. The bonds mature on December 31, 2030 (10 years). For bonds of similar risk and maturity the market yield is 12%. Interest is paid semiannually on June 30 and December 31. Required: 1. What would be the net amount of the liability Myriad would report in its balance sheet at December 31, 2021
Business
1 answer:
otez555 [7]2 years ago
5 0

Answer:

The net amount of the liability Myriad would report in its balance sheet at December 31, 2021 is $287,524,896

Explanation:

First, we need to determine the amount of discount on the bond at the time of issuance

Discount on Bond = Face value - Issuance value = $320,000,000 - $283,294,720 = $36,705,280

June 30, 2021

Now we will use the effective interest method to calculate the amortization of discount on the bond.

Amortization of Discount = ( Carrying Value x Market yield ) - ( Face value x Coupon rate ) = ( $283,294,720 x 12% ) - ( $320,000,000 x 10% ) = $33,995,366.4 - $32,000,000 = $1,995,366.4 = $1,995,366

Carrying value = $283,294,720 + $1,995,366 = $285,290,086

December 31, 2021

Now we will use the effective interest method to calculate the amortization of discount on the bond.

Amortization of Discount = ( Carrying Value x Market yield ) - ( Face value x Coupon rate ) = ( $285,290,086 x 12% ) - ( $320,000,000 x 10% ) = $34,234,810.32 - $32,000,000 = $2,234,810.32 = $2,234,810

Carrying value = $285,290,086 + $2,234,810 = $287,524,896

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Eric receives a portion of his income from his holdings of interest-bearing U.S. government bonds. The bonds offer a real intere
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Solution :

Given :

The bonds offer a \text{real interest rate} of 4.5% per year

Tax rate = 10% = 0.10

Inflation rate = 2

\text{Nominal interest rate} = \text{real interest rate} + \text{inflation rate}

\text{Nominal interest rate} = 2 + 4.5

                                   = 6.5

\text{After tax nominal rate} = \text{Nominal interest rate} $\times (1-\text{tax rate})$

\text{After tax nominal interest rate} = $6.5 \times (1-0.10)$

                                                  $=6.5 \times 0.90$

                                                 = 5.85

After tax real interest rate = \text{after tax nominal rate} - \text{inflation rate}

                                           = 5.85 - 2.0

                                            = 3.85

\text{Inflation rate} = 7.0

\text{Real interest rate = 4.5}

\text{Nominal interest rate} = \text{real interest rate} + \text{inflation rate}

                                   = 7 + 4.5

                                  = 11.5

\text{After tax nominal interest rate} = \text{Nominal interest rate} $\times (1-\text{tax rate })$

                                                  $=11.5 \times (1 - 0.10)$

                                                  $=11.5 \times 0.90$

                                                = 10.35

\text{After tax nominal interest rate} = 11.5 x (1 - 0.10)

                                          = 11.5 x 0.90

                                         = 10.35

\text{After tax nominal interest rate} = \text{after tax nominal rate} - \text{inflation rate}

                                           = 10.35 - 7.0

                                          = 3.35

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\text{Inflation rate}    Real interest  Nominal interest  After tax nominal  After tax  

                                  rate                rate               interest rate       interest rate

2.0                             4.5                  6.5                        5.85                   3.85

7.0                              4.5                11.5                         10.35                3.35

Comparing with the \text{higher inflation rate}, a \text{lower inflation rate} will increase the after after tax real interest rate when the government taxes nominal interest income. This tends to encourage saving, thereby increase the quantity of investment in the economy and the increase the economy's long-run growth rate.

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