Question

In: Finance

Given this Binomial interest rate tree with volatility, please calculate the price of the CALLABLE BOND....

Given this Binomial interest rate tree with volatility, please calculate the price of the CALLABLE BOND.
Use the Backward Induction process we have reviewed in class.

The below are 1-year forward rates. Ex: 2.96% is the 1y rate, 2-years forward.
Assume 50%/50% probability of an up or down move in rates

Bond Coupon = 2.35% pays annually; Bond Matures in Year 3; Callable in Years 1 and 2 at $100
Par Value = $100; Assume ANNUAL COMPOUNDING

Year 0 Year 1 Year 2
2.96%
2.64%
2.00% 2.64%
2.16%
2.32%

Solutions

Expert Solution


Related Solutions

As interest rate volatility decreases, which of the following bond value would increase: a callable bond,...
As interest rate volatility decreases, which of the following bond value would increase: a callable bond, a putable bond, a convertible bond, and an exchangeable bond? List all correct answer(s).
Calculate three step Binomial tree call option price please. Stock price = 124.2862, Strike price =...
Calculate three step Binomial tree call option price please. Stock price = 124.2862, Strike price = 120, Volatility = 20%, Interest rate= 0.15%, Days to expiration = 247 days / 365 days Thank you so much
1.a.  Calculate the price and duration for the following bond when the going rate of interest is...
1.a.  Calculate the price and duration for the following bond when the going rate of interest is 8%.  The bond offers  7.5% coupon rate, matures in 3 years and has a par value of $1,000.  Show full calculations and fill the table below. YR PV of  $ 1 Bond Cash Flows PV (Cash Flows) Year * Present Value of Cash Flow 1 2 3 3 Total Price= __________ Duration=____________ b. What would be the new price if the market rate of interest rises to 9%?...
Calculate the price of a semiannual coupon bond given that the coupon rate 9%, the face...
Calculate the price of a semiannual coupon bond given that the coupon rate 9%, the face value $1000, the required return 5%, and there are 4 years remaining until maturity. Find the Expected Return, Variance, and Standard Deviation for a portfolio formed with Stocks 1 and 2. The Expected Return for Stock 1 is 6%, the Standard Deviation for Stock 1 is 8%, the Expected Return for Stock 2 is 16%, the Standard Deviation for Stock 2 is 21%, the...
I want to learn how to calculate the call-value/price for the binomial model tree, so that...
I want to learn how to calculate the call-value/price for the binomial model tree, so that i can calculate the call and put option. I just need to find out how to get the call value. The current price of Natasha Corporation stock is $6. In each of the next two years, this stock price can either go up by $2.50 or go down by $2. The stock pays no dividends. The one-year risk-free interest rate is 2% and will...
non callable callable Coupon 3% 4% call price N.A 1100 If interest rate expected to fall,which...
non callable callable Coupon 3% 4% call price N.A 1100 If interest rate expected to fall,which bond will you choose.Explain
Explain the relationship between interest rate risk and extension risk using a callable bond.
Explain the relationship between interest rate risk and extension risk using a callable bond.
A futures price is currently $3000 and its volatility is 25%. The risk-free interest rate is...
A futures price is currently $3000 and its volatility is 25%. The risk-free interest rate is 5% per annum. a) Use a two-step binomial tree to derive the value today of a one-year European put option with a strike price of $2900 written on the futures contract. b) Use put-call parity to value the one-year European call option with a strike price of $2900 written on the futures contract. c) How would you hedge today a short position in the...
A futures price is currently $3000 and its volatility is 25%. The risk-free interest rate is...
A futures price is currently $3000 and its volatility is 25%. The risk-free interest rate is 5% per annum. a) Use a two-step binomial tree to derive the value today of a one-year European put option with a strike price of $2900 written on the futures contract. b) Use put-call parity to value the one-year European call option with a strike price of $2900 written on the futures contract. c) How would you hedge today a short position in the...
- what is the interest rate? - what is the bond price ? - what is...
- what is the interest rate? - what is the bond price ? - what is the diffrences between them?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT