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r 1 = 3.8% r 2 = 4.2% r 3 = 4.9% r 4 = 5.7% What are the following forward rates

ID: 2638909 • Letter: R

Question

           r1 = 3.8%    r2 = 4.2%     r3 = 4.9%     r4 = 5.7%

What are the following forward rates, where fk,1 refers to a forward rate beginning in k years and extending for 1 year? (Round your answer to 2 decimal places. Omit the "%" sign in your response.)

         

Consider the following spot interest rates for maturities of one, two, three, and four years.             

           r1 = 3.8%    r2 = 4.2%     r3 = 4.9%     r4 = 5.7%

             

What are the following forward rates, where fk,1 refers to a forward rate beginning in k years and extending for 1 year? (Round your answer to 2 decimal places. Omit the "%" sign in your response.)

Explanation / Answer

f(t1,t2) =1/(d2-d1)*((1+r2*d2)/(1+r1*d1)-1) f2,1 4.432% =1/(2-1)*((1+r2*2)/(1+r1*1)-1) f3,1 5.250% =1/(3-1)*((1+r3*3)/(1r14*1)-1) r1 3.80% r2 4.20% r3 4.90% r4 5.70% r is spot rate d is the duration from 0