Question

Consider the following spot rate curve: 6-month spot rate: 7%. 12-month spot rate: 9%. 18-month spot...

Consider the following spot rate curve:

  • 6-month spot rate: 7%.
  • 12-month spot rate: 9%.
  • 18-month spot rate: 14%.

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.

Homework Answers

Answer #1

(1 + 6 month rate/2) * (1 + forward rate one year from now/2)^2 = (1 + 18 month rate/2)^3

(1 + 0.07/2) * (1 + 1 year forward rate 6 months from now/2)^2 = (1 + 14%/2)^3

1.035 * (1 + 1 year forward rate 6 months from now/2)^2 = 1.07^3

(1 + 1 year forward rate 6 months from now/2)^2 = 1.225043 / 1.035

(1 + 1 year forward rate 6 months from now/2)^2 = 1.183616

1 + 1 year forward rate 6 months from now/2 = 1.087941

1 year forward rate 6 months from now = 0.1759

*Please comment if you face any difficulty and please don't forget to provide positive rating*

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose the current annualized spot rates are as follows: 6 months 2% 12 months 4% 18...
Suppose the current annualized spot rates are as follows: 6 months 2% 12 months 4% 18 months 6% Assume semi-annual compounding and semi-annual coupon payment. An investor has an investment horizon of six months. She can invest her money in three ways. First, buy a 6-month zero-coupon bond with a par of $1000 and hold it until maturity. Second, buy a 12-month zero-coupon bond with a par of $1000 and sell it 6 months later. Third, buy a 18- month...
Consider a corporate bond with a face value of $1,000, 2 years to maturity and a...
Consider a corporate bond with a face value of $1,000, 2 years to maturity and a coupon rate of 4%. Coupons are paid semi-annually. The next coupon payment is to be made exactly 6 months from today. What is this bond's price assuming the following spot rate curve. 6-month spot rate: 3.2%. 12-month: 5%. 18-month: 5.5%. 24-month: 5.8%.
Consider a corporate bond with a face value of $1,000, 2 years to maturity and a...
Consider a corporate bond with a face value of $1,000, 2 years to maturity and a coupon rate of 4%. Coupons are paid semi-annually. The next coupon payment is to be made exactly 6 months from today. What is this bond's price assuming the following spot rate curve. 6-month spot rate: 3.2%. 12-month: 5%. 18-month: 5.5%. 24-month: 5.8%.
You are given the following yield curve (spot rates at different maturities) Note : All rates...
You are given the following yield curve (spot rates at different maturities) Note : All rates are semiannuallycompounded.  The annual coupon rate of a one-year bond is 6%. The coupons are paid semiannually and the face value of the bond is $100. The price of this bond is____________ (take three digits after the decimal point). The forward rate at which one can lend or borrow money 0.5 year from today for a period of 0.5 year (0.5f0.5) is__________ %( take three...
1. Suppose that 6-month, 12-month, 18-month zero rates are, respectively, 4%, 4.2%, 4.4% per annum, with...
1. Suppose that 6-month, 12-month, 18-month zero rates are, respectively, 4%, 4.2%, 4.4% per annum, with continuous compounding. Estimate the cash price of a bond with a face value of 100 that will mature in 18 months and pays a coupon of 2.00 semiannually. Hint: the value of a bond should be the sum of the present value of each cash flow. This bond has the following cash flow: $2.00 at 6 month, $2.00 at 12 month, and $102 at...
Suppose the 6-month risk free spot rate in HKD is 1% continuously compounded, and the 6-month...
Suppose the 6-month risk free spot rate in HKD is 1% continuously compounded, and the 6-month risk free rate in NZD is 3% continuously compounded. The current exchange rate is 5 HKD/NZD. a. Suppose again that our usual assumptions hold, i.e., no constraints or other frictions. Suppose you can enter a forward contract to buy or sell NZD 1 for HKD 5. Is there an arbitrage? If yes, describe an arbitrage strategy. If no, briefly explain why not. b. Suppose...
Consider a corporate bond with a face value of $1,000, 2 years to maturity and a...
Consider a corporate bond with a face value of $1,000, 2 years to maturity and a coupon rate of 5%. Coupons are paid semi-annually. The next coupon payment is to be made exactly 6 months from today. What is this bond's price assuming the following spot rate curve. 6-month spot rate: 3.1%. 12-month: 5%. 18-month: 5.5%. 24-month: 5.8%. Assume semi-annual compounding. Round your answer to the nearest cent (2 decimal places).
Consider a contract that pays out $1,143 in 6 months, $101 in 12 months, $62 in...
Consider a contract that pays out $1,143 in 6 months, $101 in 12 months, $62 in 18 months, $30 in 2 years. Price this contract, assuming the following yield curve: time spot rate 6-month 1% 12-month 2% 18-month 2.5% 24-month 2.8% Assume semi-annual compounding. Round your answer to the nearest cent (2 decimal places).
Pacific Airline wants to borrow $100,000 6 months later for 3 months with a Forward Rate...
Pacific Airline wants to borrow $100,000 6 months later for 3 months with a Forward Rate Agreement. The following table shows bond market information. Maturity (month) Zero Coupon Bond Price 3 0.988 6 0.971 9 0.953 12 0.933 (a) What is the forward rate of the FRA (effectively for 3 months)? (b) Suppose 6 months later, the 3-month annualized spot rate is 5%. What is the settlement amount of the FRA if settle in arrears? (c) Instead of using an...
Consider a corporate bond with a face value of $1,000, 2 years to maturity and a...
Consider a corporate bond with a face value of $1,000, 2 years to maturity and a coupon rate of 4%. Coupons are paid semi-annually. The next coupon payment is to be made exactly 6 months from today. What is this bond's YTM assuming the following spot rate curve. 6-month spot rate: 4%. 12-month: 5%. 18-month: 5.5%. 24-month: 6%. 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.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT