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Valuation: Debt Investments: Analysis and Valuation
1.A:
Introduction to the Valuation of Fixed Income Securities
a:
Describe the fundamental principles of bond valuation.
Bond
investors are basically entitled to two distinct types of cash flows: 1) the
periodic receipt of coupon income over the life of the bond, and 2) the
recovery of principal (par value) at the end of the bond's life. Thus, in
valuing a bond, you're dealing with an annuity of coupon payments, plus a large
single cash flow, as represented by the recovery of principal at maturity, or
when the bond is retired. These cash flows, along with the required rate of
return on the investment, are then used in a present value based bond model to
find the dollar price of a bond.
b:
Explain the three steps in the valuation process.
The value
of any financial asset can be determined as the sum of the asset’s discounted
cash flows. There are three steps:
Estimate
the cash flows.
Determine
the appropriate discount rate.
Calculate
the sum of present values of the estimated cash flows.
c:
Explain what is meant by a bond's cash flow.
This LOS is
very straightforward. A bond's cash flow is the coupon or principal value. For
an option-free bond (meaning that the bond is not callable, putable,
convertible, etc.), the expected cash flow structure is shown on the time line
below.
Where m =
maturity, par, or face value (usually $1,000, £1,000, et cetera), CPN = (maturity
value * stated coupon rate)/# coupons per year, and N= # of years to maturity *
# coupons per year. So, for an arbitrary discount rate i,
the bond’s value is:
Bond value= |
CPN1 |
+ |
CPN2 |
+ ... + |
CPNn*m + M |
(l + i/m)1 |
(1 + i/m)2 |
(l + i/m)n*m |
Asset
Valuation: Debt Investments: Analysis and Valuation
1.A:
Introduction to the Valuation of Fixed Income Securities
a:
Describe the fundamental principles of bond valuation.
Bond
investors are basically entitled to two distinct types of cash flows: 1) the
periodic receipt of coupon income over the life of the bond, and 2) the
recovery of principal (par value) at the end of the bond's life. Thus, in
valuing a bond, you're dealing with an annuity of coupon payments, plus a large
single cash flow, as represented by the recovery of principal at maturity, or
when the bond is retired. These cash flows, along with the required rate of
return on the investment, are then used in a present value based bond model to
find the dollar price of a bond.
b:
Explain the three steps in the valuation process.
The value
of any financial asset can be determined as the sum of the asset’s discounted
cash flows. There are three steps:
Estimate
the cash flows.
Determine
the appropriate discount rate.
Calculate
the sum of present values of the estimated cash flows.
c:
Explain what is meant by a bond's cash flow.
This LOS is
very straightforward. A bond's cash flow is the coupon or principal value. For
an option-free bond (meaning that the bond is not callable, putable,
convertible, etc.), the expected cash flow structure is shown on the time line
below.
Where m =
maturity, par, or face value (usually $1,000, £1,000, et cetera), CPN = (maturity
value * stated coupon rate)/# coupons per year, and N= # of years to maturity *
# coupons per year. So, for an arbitrary discount rate i,
the bond’s value is:
Bond value= |
CPN1 |
+ |
CPN2 |
+ ... + |
CPNn*m + M |
(l + i/m)1 |
(1 + i/m)2 |
(l + i/m)n*m |