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Fixed Income Securities

The document discusses several scenarios involving different types of long-term loans and mortgages, including: 1) A prospective homeowner determining how large of a fixed-rate 20-year mortgage she can afford based on being able to pay $25,000 annually. 2) A company considering private placement of bonds through insurance companies, with two options for 15-year bonds presented at 10% annual interest or 9.72% interest compounded monthly. 3) The same company exploring issuing identical 15-year bonds through the insurers that make semi-annual coupon payments in addition to the principal repayment, and the insurers requiring a higher yield of 0.5% on these coupon bonds.

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Raghuveer Chandra
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300 views1 page

Fixed Income Securities

The document discusses several scenarios involving different types of long-term loans and mortgages, including: 1) A prospective homeowner determining how large of a fixed-rate 20-year mortgage she can afford based on being able to pay $25,000 annually. 2) A company considering private placement of bonds through insurance companies, with two options for 15-year bonds presented at 10% annual interest or 9.72% interest compounded monthly. 3) The same company exploring issuing identical 15-year bonds through the insurers that make semi-annual coupon payments in addition to the principal repayment, and the insurers requiring a higher yield of 0.5% on these coupon bonds.

Uploaded by

Raghuveer Chandra
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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3.

A prospective homeowner wants to determine how much she can borrow in the form of a fixed-rate
20-year mortgage. Mortgages of that maturity carry a fixed interest rate of 9.00%. She estimates that she
can afford annual, pre-tax payments (interest plus principal) on her mortgage of $25,000 (for simplicity,
assume that mortgage payments are made once a year at the end of the year).
A. How large a mortgage can she afford, assuming she makes steady payments of $25,000 per year
for 20 years? How much total interest will be paid over the 20-year life of the mortgage?
How much interest will be paid during the first year of the mortgage? How much principal will
be repaid in the first year? How much of the final $25,000 payment at the end of 20 years will be
interest and how much will be principal?
B. Suppose the prospective home owner expects her income to grow such that she could afford
$25,000 per year of total debt service in the first five years of a 20-year mortgage, $30,000 per
year in the second five years, $35,000 in the third five years, and $40,000 in the last five years.
How large a mortgage at 9.00% could she afford under these circumstances?
4. To help ease a continuing need for financing, the Consolidated Chemical Company is considering
borrowing from insurance companies through a so-called private placement of bonds in addition to
issuing bonds in public debt markets. The company must choose between transactions suggested by two
different insurance companies. In both transactions, Consolidated Chemical would receive $10,000,000
up front in exchange for issuing a bond promising a single (larger) maturity payment from Consolidated
Chemical in 15 years at a promised interest rate. The two options open to Consolidated Chemical are as
follows:

A 15-year bond to Pru-Johntower Life Insurance Company, promising an annual rate of interest
of 10%;

A 15-year bond to Tom Paine Mutual Life Insurance Company, promising a rate of interest of
9.72% per year, compounded monthly.

A. What is the effective annual yield to maturity on each of the bonds?


B. What is the future required payment that Consolidated Chemical will make 15 years later on each
bond?
The Treasurer of Consolidated Chemical also explored with each insurance company the possibility of
selling an identical dollar amount of 15-year bonds that would make regular semi-annual coupon
payments each year and $10 million principal repayment at maturity rather than a single lump-sum
payment. It was discovered in each case that the insurance company would require an effective annual
yield on ordinary coupon bonds of equivalent default risk that was 50 basis points (i.e., 0.50%) higher
than the effective annual yields on the bonds with no coupons.
C. What might explain why the insurance companies would require a slightly higher effective annual
yield on the coupon bonds compared to the bonds with no coupons?

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