FIN 4520 - INTEREST RATES 

 

Three kinds of interest rates:

 

Yield to maturity

Current yield

Discount yield

 

Yield to maturity:

 

Defined as the interest rate that equates present value with market price.

The most accurate measure of interest rates.

Greater than a bond's coupon rate if the bond price is less than face value.

 

Current yield:

 

Defined as annual coupon payment divided by market price.

Easy to calculate.

Worse measure for short-term bonds than for long-term bonds.

 

Discount yield:

 

Defined as [(face value - price) / face value] x [360 / days to maturity].

Understates the yield to maturity, especially for long-term bonds.

 

Present value:

 

PV = FV/(1 + i)T for a discount (zero-coupon) bond maturing in T years.

PV = CP/(1 + i) + CP/(1 + i)2 + ... + CP/(1 + i)T + FV/(1 + i)T for a coupon bond.

 

Total return:

 

Yield + capital gains or losses.

Used to evaluate investment alternatives.

 

Real versus nominal interest rates:

 

inom = ireal + expected inflation rate.

Used to evaluate borrowing and lending opportunities.