Question

Consider the following $1,000 par value zero-coupon bonds: Bond Years to Maturity Yield to Maturity A 1 6.00 % B 2 7.00 % C 3 7.99 % D 4 9.41 % E 5 10.70 % The expected 1-year interest rate 4 years from now should be _________.

Answer 1

16.01%

Step-by-step explanation:

The expected 1-year interest rate 4 years from now is determined using the below formula:

The expected 1-year interest rate 4 years=(1+YTM5)^5/(1+YTM4)^4-1

YTM5 is the yield to maturity in year 5 i.e 10.70%

YTM4 is the yield to maturity in year 4 i.e 9.41%

The expected 1-year interest rate 4 years=(1+10.70%)^5/(1+9.41%)^4-1

The expected 1-year interest rate 4 years=16.01%