Question

In: Accounting

5. Opal Corporation is required to pay the pension cost of one of its unionized employees....

5. Opal Corporation is required to pay the pension cost of one of its unionized employees. According to the terms of the union contract, the employee will retire in 4 years and receive $45,000 at the end of the 14 consecutive years following retirement. Interest is compounded annually.

The pension obligation that Opal has incurred today if the discount rate is 9% is?

6. Determine the bond issues proceeds for each of the following bonds payable. All proceeds are issued on January 1,2019.

A. Silly Corporation issued bonds in the amount of $60,000 that will be paid in 12 years. Interest of $8,400 is payable annually each December 31 with the first interest payment at the end of the year on December 31,2019. If the market rate of interest is 12% is the amount of the bond issue proceeds?

B. Master Corporation issued bonds in the amount of $450,000 that will be paid in 9 years. Interest of $9,000 is payable semiannually each June 30 and December 31 with the first interest payment at the end of the period on June 30,2019. If the market rate of interest is 10%, what is the amount of the bond issue proceeds?

Solutions

Expert Solution

5. Given Facts:
Future value of obligation =$45000
Term = 4 years plus 14 years = 18 years
Discount rate = 9%
Present value of obligation = Future value*Discount factor for 18 years@9%
Discount factor = 1/(1+r)^n where r=9%, n=18 which is 0.211994
Present value of obligation = 45000*0.211994 = $9540
6.A. Given Facts:
Face value of bond =60000
Term = 12 years
Annual interest = 8400
Discount rate =12%
Issue proceeds of bond is calculated by adding the present value of bond maturity value and the total
of present value of interest payments considering market rate as discount rate
(ie.) Issue proceeds = PV of maturity value plus PV of interest payments
Present value of bond maturity value:
Maturity value is nothing but the face value of bond. To get present value of bond maturity value in this
case, we need to discount $60000 @12% at the PV factor for 12 years
PV Factor for 12 years @12% = 1/((1+r)^n) where r=12% and n=12
PV factor = 1/((1.12)^12) which is 0.256675
PV of bond maturity value = 60000*0.256675 = $15400
Present value of Interest payments:
Annuity factor @12% for 12 years = (1-(1+r)^-n)/r where r= 12% and n =12 years = 6.194374
PV = 8400*6.194374 = 52032
Issue proceeds of bond = 15400+52032 =$67432
6.B. Given Facts:
Face value of bond =450000
Term = 9 years ie. 18 half years
Half year interest = 9000
Discount rate =10% annually ie. 5% semi annually
Similar to 6A,
PV factor for 18 term @5% is 0.415521 and Annuity factor for 18 term @5% is 11.68959
Pv of bond maturity value =450000*0.415521 = 186984
PV of interest payments = 9000*11.68959 =105206
Issue proceeds of bond = $292190

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