If the 6 month spot rate is 0.523% and the 12 month spot rate is 0.762%,...

If the 6 month spot rate is 0.523% and the 12 month spot rate is 0.762%, what is the 6 month forward rate, beginning in 6 months, expressed as an annual rate with semi-annual compounding?

Expert Solution

(1+Annual spot rate) = (1+ semiannual spot rate) (1+ semiannual forward rate)

(1+ 0.762 %) = (1+0.523%/2) (1+ semiannual forward rate)

(1+ 0.00762) = (1+0.00523/2) (1+ semiannual forward rate)

(1.00762) = (1 + 0.002615) (1+ semiannual forward rate)

(1.00762) = (1.002615) (1+ semiannual forward rate)

(1+ semiannual forward rate) = 1.00762/1.002615

(1+ semiannual forward rate) = 1.004991946061

Semiannual forward rate = 1.004991946061 – 1 = 0.004991946061

Annual forward rate beginning in six months = 0.004991946061 x 2 x 100

= 0.99838921221% or 0.998389 %

jeff jeffy answered 1 year ago

Consider the following spot rate curve: 6-month spot rate: 4%. 12-month spot rate: 12%. 18-month spot...

Consider the following spot rate curve: 6-month spot rate: 4%. 12-month spot rate: 12%. 18-month spot rate: 14%. What is the forward rate for a 6-month zero coupon bond issued one year from today? Equivalently, the question asks for f12, where 1 time period consists of 6 months. Remember, like spot rates, forward rates are expressed as bond-equivalent yields.

Consider the following spot rate curve: 6-month spot rate: 4%. 12-month spot rate: 10%. 18-month spot...

Consider the following spot rate curve: 6-month spot rate: 4%. 12-month spot rate: 10%. 18-month spot rate: 14%. What is the forward rate for a 6-month zero coupon bond issued one year from today? Equivalently, the question asks for f12, where 1 time period consists of 6 months. Remember, like spot rates, forward rates are expressed as bond-equivalent yields. Round your answer to 4 decimal places. For example if your answer is 3.205%, then please write down 0.0321.

Consider the following spot rate curve: 6-month spot rate: 5%. 12-month spot rate: 9%. 18-month spot...

Consider the following spot rate curve: 6-month spot rate: 5%. 12-month spot rate: 9%. 18-month spot rate: 13%. What is the forward rate for a one-year zero coupon bond issued 6 months from today? Equivalently, the question asks for f21, where 1 time period consists of 6 months. Assume semi-annual compounding. Round your answer to 4 decimal places. For example if your answer is 3.205%, then please write down 0.0321.

Consider the following spot rate curve: 6-month spot rate: 7%. 12-month spot rate: 10%. 18-month spot...

Consider the following spot rate curve: 6-month spot rate: 7%. 12-month spot rate: 10%. 18-month spot rate: 13%. What is the forward rate for a 6-month zero coupon bond issued one year from today? Equivalently, the question asks for f12, where 1 time period consists of 6 months. Remember, like spot rates, forward rates are expressed as bond-equivalent yields. Round your answer to 4 decimal places. For example if your answer is 3.205%, then please write down 0.0321.

1.Consider the following spot rate curve: 6-month spot rate: 7%. 12-month spot rate: 11%. 18-month spot...

1.Consider the following spot rate curve: 6-month spot rate: 7%. 12-month spot rate: 11%. 18-month spot rate: 14%. What is the forward rate for a 6-month zero coupon bond issued one year from today? Equivalently, the question asks for f12, where 1 time period consists of 6 months. Remember, like spot rates, forward rates are expressed as bond-equivalent yields. Round your answer to 4 decimal places. For example if your answer is 3.205%, then please write down 0.0321. 2. Consider...

Suppose we have the following current spot rate curve: 6-month spot rate: 7%. 12-month spot rate:...

Suppose we have the following current spot rate curve: 6-month spot rate: 7%. 12-month spot rate: 9%. Despite the above spot rate curve, an investor firmly believes that the 6-month spot rate in 6 months will be 4%, and that she can borrow and invest $3,320 at any of the current market rates. How much profit can this investor expect to make using the entire borrowed amount if her belief turns out to be true? Round your answer to 2...

Suppose we have the following current spot rate curve: 6-month spot rate: 4%. 12-month spot rate:...

Suppose we have the following current spot rate curve: 6-month spot rate: 4%. 12-month spot rate: 10%. Despite the above spot rate curve, an investor firmly believes that the 6-month spot rate in 6 months will be 5%, and that she can borrow and invest $5,069 at any of the current market rates. How much profit can this investor expect to make using the entire borrowed amount if her belief turns out to be true? Round your answer to 2...

Suppose we have the following current spot rate curve:6-month spot rate: 7%.12-month spot rate:...

Suppose we have the following current spot rate curve:6-month spot rate: 7%.12-month spot rate: 11%.Despite the above spot rate curve, an investor firmly believes that the 6-month spot rate in 6 months will be 3%, and that she can borrow and invest $3,080 at any of the current market rates. How much profit can this investor expect to make using the entire borrowed amount if her belief turns out to be true?Round your answer to 2 decimal places.

You believe that 6 months from now, the 12-month treasury spot rate will be 7%. You...

You believe that 6 months from now, the 12-month treasury spot rate will be 7%. You believe that 1 year from now, the 6-month treasury spot rate will be 6.00%. Given the treasury spot rates below, which of the following strategies would generate the highest return? Term Spot Rate 6-month 4.00% 12-month 4.20% 18-month 4.50% 24-month 4.90% 30-month 5.40% 36-month 5.70% 42-month 6.00% 48-month 6.40% Invest in an 18-month treasury. Invest in a 12-month treasury, at maturity reinvest proceeds in...

You believe that 6 months from now, the 12-month treasury spot rate will be 7.00%. You...

You believe that 6 months from now, the 12-month treasury spot rate will be 7.00%. You believe that 1 year from now, the 6-month treasury spot rate will be 6.00%. You believe that 18 months from now, the 6-month treasury spot rate will be 5%. Given the treasury spot rates below, which of the following strategies would generate the highest return? Term Spot Rate 6-month 4.00% 12-month 4.20% 18-month 4.50% 24-month 4.90% 30-month 5.40% 36-month 5.70% 42-month 6.00% 48-month 6.40%...

Question