Bonds

Hard Practice Test

Intermediate Accounting 2

Hard Practice Test

Click the “Check Your Answer” box below each problem to reveal the correct answer and explanation.

1. Which of the following is a reason to issue bonds rather than common stock?

a. interest payments reduce income taxes paid
b. bondholders have more voting rights than common stockholders
c. net income is higher when bonds are issued
d. cash received from bonds will always be higher than received from stock

Answer

A. Interest expense lowers net income (c) which lowers income tax paid. Dividends paid on common stock are not expenses, are not tax deductible and do not lower taxes paid. Bondholders do not have voting rights. (d.) depends on current leverage of the company.

2. When a bond is sold at a premium, amortization of the premium is

a. an increase to interest expense
b. a decrease to interest expense
c. an increase to the premium
d. an increase to the amount owed

Answer

B. A premium occurs when more cash is received than will be repaid at maturity. As the premium is lowered each period, the net amount owed is lower, decreasing interest expense. Interest expense is lower than cash paid for interest.

3. Which is true when a bond is issued at a discount?

a. the amount the discount is reduced is lower each period
b. the amount of interest expense is higher each period
c. the amount of interest expense is lower each period
d. the net amount owed will eventually be less than the discount

Answer

B. Less cash is received than will be repaid on the maturity date. The net amount owed increases with each interest payment. As the amount owed increases, interest expense increases. The difference in cash paid and the interest expense is greater as interest expense is higher and cash paid remains the same (a.)

4. The company issued a $10,000, 5-year, 10% bond that pays semiannually. The market rate of interest was 12% at the time of issuance. The interest expense recorded with the first payment will be

a. higher than $500
b. lower than $500
c. equal to $1,000
d. lower than $120

Answer

A. When the market rate is higher than the stated rate, interest expense will also be higher than cash paid each period. The cash paid will be $10,000 x .10 / 2 = $500 Interest expense will be higher than the periodic cash payment. 

5. When a bond is issued at a lower rate of market interest than the stated rate

a. the cash received is lower than maturity value
b. the cash received is higher than maturity value
c. interest expense will be higher than cash paid
d. the net amount owed at the end of the period will increase with each payment made for interest

Answer

B. To incur a lower rate of interest, more cash must be received. Interest expense will be lower than the stated rate/cash paid (c.) When more cash is received, the net amount owed (carrying value) decreases each period to get down to maturity value (d).

6. The issue price of a 0 stated bond will be

a. higher than maturity value
b. lower than maturity value
c. issued at a premium
d. issued at par

Answer

B. When no stated is paid, the interest that would have been paid periodically is added to the price of the bond to get to the maturity value on the maturity date. Since interest not paid is added, the issue price is much lower than the maturity value when issued.

7. When the typical rate earned by an investor for a company of equivalent risk and economic situation is lower than the stated/stated rate, the bond will be issued at

a. an amount less than maturity value
b. an amount greater than maturity value
c. par value
d. a discount

Answer

B. The typical rate earned is the market effective rate. When the market rate is lower than the stated rate, more cash is received than maturity value. This is a premium. Par occurs only when the two rates are equal. 

8. As market interest rates increase, the selling price of a bond

a. does not change, it stays at the issue price
b. increases
c. decreases
d. increases at a rate proportionate to the percentage increase in the market rate

Answer

C. When rates are higher, less cash is required to earn the return. The selling price of the bond is the cash exchanged. Higher rates decrease the price of a bond. The present value of future cash flows prevents the increase in price from being equal to the % increase in rates (d).

9. A company registered to issue a 10%, 20-year bond when the market rate was 10%. Prior to issuing the bond, market rates increased to 11%. The company must

a. re-register the bond contract
b. expect to receive more cash than was originally planned
c. change the stated interest rate to match the current market rate
d. expect to receive less cash than was originally planned

Answer

D. The bond contract will not change when economic factors change. A higher market rate means that less cash will be received from the investor earning a higher return.

10. When the market rate changes after issuing the bond, the company

a. incurs the same rate of interest expense
b. will have interest expense that changes with market rate changes
c. pays a different amount for interest as market rates change
d. both b. & c.

Answer

A. Future market rate changes do not affect the bond contract or the amount of interest expense incurred by the company. Interest expense is locked in for the company when the bond is issued based on the market rate at the time of issuance. Trades between investors does not affect the company.

11. On June 1, of the current year, the Company issued a $500,000, 8%, 5-year bond. Interest will be paid on May 1st and November 1st of each year. The market rate on the date of issue was 10%. The market rate at the end of the 1st year and 2nd year was 11% and 11.5% respectively. The company has the option to pay back the bonds early anytime after June 1st of the second bond year at a price of $450,000.

A. Compute the price of the bond on the actual issue date
B. Prepare the amortization schedule for the bond for the first 4 payments
C. Record the issuance of the bond and the first interest payment made for the issuer.
D. Record the purchase of the bond and the second interest payment received
for the investor who owns 10% of the total bond issued.
E. Record the entry for redemption of the bonds on July 31st of the 2nd bond year for the issuer.

Answer

Market rate changes after issuing the bond have no impact on the company.

A. 5% for 10 periods

500,000  x  8%/2 =
20,000     x   7.72173  =   154,435
500,000   x     .61391  =   306,955
                                           461,390
      Effective Interest         + 3,845
      Cash Interest                – 3,333
Present value on actual issue date is 461,902


B. Amortization Schedule –

Do the bond issue date and bond payment dates first and then insert rows for other dates

(10% / 2)
Effective
Interest %
(MV x 8% /2)
Stated or
Stated %


Difference


Discount

End of Period
Carrying
Value
5/1/y1 original issue date 38,610 461,390
6/1/y1 (1/6) 3,845 3,333 512 38,098 461,902
11/1/y1 23,070 20,000 3,070 35,540 464,460
5/1/y2 23,223 20,000 3,223 32,317 467,683
7/31/y2 (3/6)11,692 10,000 1,692 30,625 469,375
11/1/y2 23,384 20,000 3,384 28,933 471,067

C. Issue and 1st Payment for the issuer

6/1/y1
Cash                        465,235
Discount                   38,098
           Bond Payable         500,000
           Interest Payable         3,333

11/1/y1
Interest Payable          3,333
Interest Expense       19,225
        Discount                         2,558
        Cash                              20,000

D. Purchase of the bond and 2nd payment, investor owns 10%

6/1/y1
Investment                46,190
Interest Receivable       333
          Cash                           46,523

5/1/y2
Cash                               2,000
Investment                      322
           Interest Revenue          2,322

Multiply the amounts on the amortization schedule by 10%

E. Early repayment on July 31st, 2nd year for the issuer

Bond Payable             500,000
           Discount                        30,625
           Cash                              450,000
           Gain on repayment      19,375

Remove the bond payable and the discount at the amount on the row of the repayment date. Bond payable is always at maturity value.

12. On March 1st, of the current year, the company issued $100,000, 12%, 10-year bonds at a premium. The market/effective yield of interest was either 10% or 14%. Interest is paid semiannually on January 1 and July 1. The bonds are convertible into 2,000 shares of $2 par value common stock at the option of the investor. The company’s and the investor’s year end is October 31st.

A. Determine the market rate at the date of issuance and the original price of the bond.
B. Prepare the amortization schedule for the bond for the first 3 payments
C. Record the bond issuance and the first 2 interest payments for the issuer and the investor.
D. Record the entry for the issuer and the investor given conversion of the bond occurs on June 1st of the second year.

Answer

A. A premium occurs when more cash is received than maturity value. The effective rate must be lower than the stated rate to receive more cash, therefore, the market/effective yield was 10%.

Go into the present value tables for 20 period and 5% (10 years x 2 & 10%/2)

100,000 x 12%/2 = 6,000  x  12.46221  =   74,773
100,000 x 0.37689                                   =   37,689
                                                                       112,462

B. Amortization schedule:
Do the original date and payment dates first and then insert the other dates.
The other date row amounts are for the months that have passed since the last bond date divided by the months in the period x the next bond date row

(10% / 2)
Effective
Interest %
(MV x 12% / 2)
Stated /
Stated %


Difference


Premium

End of Period
Carrying
Value
1/1/y1 12,462 112,462
3/1/y1 (2/6) 1,874 2,000 126 12,336 112,336
7/1/y1 5,623 6,000 377 12,085 112,085
10/31/y1 (4/6) 3,736 4,000 264 11,821 111,821
1/1/y2 5,604 6,000 396 11,689 111,689
6/1/y2 (5/6) 4,653 5,000 347 11,342 111,342
7/1/y2 5,584 6,000 416 11,273 111,273


C.
Record the issuance and the first two interest payments.

                                Issuer:

3/1/y1
Cash                               114,336                                        plug
             Premium                            12,336                        actual issue row
             Bond Payable                 100,000                         maturity value
             Interest Payable                 2,000                         stated column, actual row
7/1/y1
Interest Payable                   2,000                           accrued before
Interest Expense                  3,749                           (5,632 – 1,874)
Premium                                   251                           (377 – 126)
              Cash                                        6,000             full stated amount
10/31/y1
Interest Expense                3,736                            4 months row
Premium                                264
              Interest Payable                   4,000
1/1/y2
Interest Payable                4,000                           accrued before
Interest Expense               1,868                           (5,604 – 3,736)
Premium                               132                           (396 – 264)
             Cash                                       6,000           full stated amount

Investor: Same amounts, opposite accounts

3/1/y1
Investment                           112,336
Interest Receivable                 2,000
              Cash                                              114,336
7/1/y1
Cash                                          6,000
             Interest Receivable                 2,000
             Interest Revenue                     3,749
             Investment                                  251
10/31/y1
Interest Receivable                           4,000
             Investment                                         264
             Interest Revenue                            3,736
1/1/y2
Cash                                       6,000
             Interest Receivable                    4,000
             Interest Revenue                       1,868
             Investment                                    132

D. Record the conversion

                          Issuer

Bond Payable                           100,000                             maturity value
Premium                                      11,342                            conversion date row
               Common Stock                         4,000                 par x number of shares issued
               Paid In Capital – CS              107,342                 plug

                          Investor

Investment in Common Stock              111,342
               Investment in Bond                            111,342

Do not record a gain or loss on conversion.

13. The company issued 10% bonds dated September 1 of the current year with a maturity value of $1,000,000 on September 30 of the current year. The bonds mature in 7 years. The effective yield at issuance was 8% for bonds with similar risk. The market yield on September 1st was 7.5%. Interest is paid semi-annually on March 1st and September 1st. The investor’s year end is November 30th and the company’s year end is April 30th.

A. Calculate the price of the bond on the actual issue date
B. Prepare an amortization schedule for the bond for the first 2 interest payments
C. Record the entry to issue the bonds for the company and the investor
D. Record the journal entry to accrue interest at year end for the company and the investor.
E. Record the journal entry for the second interest payment for the company and the investor.

Answer

A. Go into the present value tables for 14 periods and 4% (7 years x 2 & 8%/2)

1,000,000 x 10%/2 = 50,000   x   10.56312   =            528,156
                                 1,000,000 x   .57748        =            577,480
                               Full 7 years to maturity               1,105,636
                         less accrued cash 1 month                    (8,333)
                         plus interest expense 1 month               7,371
                         Present value on actual issuance    1,104,674

Ignore the 7.5%, the bonds were not issued on September 1st.
You must present value cash flows at the effective rate on the actual issue date.

B. Amortization schedule:

(8% / 2)
Effective
Interest %
(MV x 10% / 2)
Stated /
Stated %


Difference


Premium

End of Period
Carrying
Value
9/1/y1 105,636 1,105,636
9/30/y1 (1/6) 7,371 8,333 962 104,674 1,104,674
11/30/y1 (3/6) 22,113 25,000 2,887 102,749 1,102,749 investor y/e
3/1/y2 44,225 50,000 5,775 99,861 1,099,861
4/30/y2 (2/6) 14,665 16,667 2,002 97,859 1,097,859 issuer y/e
9/1/y2 43,994 50,000 6,006 93,855 1,093,855

C. Issue the bonds:

               Issuer

9/30/y1
Cash                        1,113,007
           Premium                        104,674
          Bond Payable              1,000,000
          Interest Payable                 8,333

               Investor

9/30/y1
Investment                   1,104,674
Interest Receivable             8,333
           Cash                               1,113,007

D. Record the accrual at year end – different year ends
Issuer – April 30th

Interest Expense                14,665
Premium                                2,002
               Interest Payable                16,667

Investor – November 30th

Interest Receivable                16,667
               Investment                                1,925
               Interest Revenue                    14,742

E. Record the 2nd Interest Payment on 9/1/y2

            Issuer

9/1/y2
Interest Payable                  16,667
Interest Expense                 29,329
           Premium                                   4,004
           Cash                                         50,000

        Investor

9/1/y2
Cash                                          50,000
           Interest Revenue                         43,994
           Investment                                     6,006

Nothing was previously recorded during this 6-month period for the investor.