1 answer

Bramble Inc. has issued three types of debt on January 1, 2020, the start of the...

Question:

Bramble Inc. has issued three types of debt on January 1, 2020, the start of the company’s fiscal year.

(a) $11 million, 10-year, 14% unsecured bonds, interest payable quarterly. Bonds were priced to yield 12%.
(b) $25 million par of 10-year, zero-coupon bonds at a price to yield 12% per year.
(c) $18 million, 10-year, 10% mortgage bonds, interest payable annually to yield 12%.

Prepare a schedule that identifies the following items for each bond: (1) maturity value, (2) number of interest periods over life of bond, (3) stated rate per each interest period, (4) effective-interest rate per each interest period, (5) payment amount per period, and (6) present value of bonds at date of issue. (Round stated and effective rate per period to 2 decimal places, e.g. 10.25%. Round present value factor calculations to 5 decimal places, e.g. 1.25124 and the final answer to 0 decimal places e.g. 58,971.)

Unsecured
Bonds

Zero-Coupon
Bonds

Mortgage
Bonds

(1) Maturity value $ $ $
(2) Number of interest periods
(3) Stated rate per period % % %
(4) Effective rate per period % % %
(5) Payment amount per period $ $ $
(6) Present value $ $

Answers

Unsecured Bonds Zero-Coupon Bonds Mortgage Bonds
1. Maturity Value 43551856.93 25000000 46687364
2. No. of Interest Period 40 NIL 10
3. Stated Rate Per Period 3.5% 0 10%
4.

Effective Rate Per Period

12% 12% 12%
5. Payment Amount Per Period 385000 0 1800000
6. Present Value 12440893 8049331 15965919
1. Maturity Value = Par Value ( 1+r)^n
Hence, r = rate of interest per period.
Unsecured Bonds Zero-Coupon Bonds Mortgage Bonds
1. Maturity Value 11000000 X ( 1+3.5%)^40 25000000 X(1+0)^0 18000000 X (1+10%)^10
2.

Interest Period determien the accrual of interest either monthly, quarterly, semi annually or annually.

Hence, check the accrual period X No. of Years
Unsecured Bonds Zero-Coupon Bonds Mortgage Bonds
2. No. of Interest Period 4 Times in a Years X 10 Years NIL 1 time in a Year X 10 Years
3. Stated Rate , Rate is always shown at Annual basis.
Unsecured Bonds Zero-Coupon Bonds Mortgage Bonds
3.

Satted Rate

as Quarterly rest, hence 14 % / 4 = 3.5 % 0 10 % / 1 = 10 %
4. Effective Rate, the NPV of the inflow and outflow is NIL
as already stated in Question at 12% in all three cases
5. Payment Amount , it is payment accrual of interest
Unsecured Bonds Zero-Coupon Bonds Mortgage Bonds
5. Payment Amount 11000000 X 3.5% 0 18000000 X 10%
6. Present Value, PV is the Present valueof All flows at effective rate of Interest
Unsecured Bonds Zero-Coupon Bonds Mortgage Bonds
6.

Present Value

11000000 X 3.5% (3%, 40 period) + 11000000 X (12% , 10th) 0+ 25000000 X (12%, 10th Year) 18000000 X 10% (12%, 10 Years) +18000000 (12%, 10Th Year)
.

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