Questions from Business Statistics


Q: A 3-year convertible bond with a face value of $

A 3-year convertible bond with a face value of $100 has been issued by company ABC. It pays a coupon of $5 at the end of each year. It can be converted into ABC’s equity at the end of the first year o...

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Q: Consider an 8-month European put option on a Treasury bond

Consider an 8-month European put option on a Treasury bond that currently has 14.25 years to maturity. The current cash bond price is $910, the exercise price is $900, and the volatility for the bond...

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Q: A swaption gives the holder the right to receive 7.6

A swaption gives the holder the right to receive 7.6% in a 5-year swap starting in 4 years. Payments are made annually. The forward swap rate is 8% with annual compounding and its volatility is 25% pe...

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Q: What is a first-to-default credit default swap?

What is a first-to-default credit default swap? Does its value increase or decrease as the default correlation between the companies in the basket increases? Explain your answer.

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Q: Use the DerivaGem software to value a 5-year collar that

Use the DerivaGem software to value a 5-year collar that guarantees that the maximum and minimum interest rates on a LIBOR-based loan (with quarterly resets) are 7% and 5%, respectively. All 3-month L...

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Q: Use the DerivaGem software to value a European swaption that gives you

Use the DerivaGem software to value a European swaption that gives you the right in 2 years to enter into a 5-year swap in which you pay a fixed rate of 6% and receive floating. Cash flows are exchang...

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Q: What is the result corresponding to that given in Problem 31.

What is the result corresponding to that given in Problem 31.7. for the CIR model. Use maximum likelhood methods to estimate the a, b, and  parameters for the CIR model using the sam...

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Q: Construct a trinomial tree for the Ho–Lee model where .

Construct a trinomial tree for the Ho–Lee model where . Suppose that the initial zero-coupon interest rate for a maturity of 0.5, 1.0, and 1.5 years are 7.5%, 8%, and 8.5%. Use two-time steps, each 6...

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Q: A trader wishes to compute the price of a 1-year

A trader wishes to compute the price of a 1-year American call option on a 5-year bond with a face value of 100. The bond pays a coupon of 6% semiannually and the (quoted) strike price of the option i...

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Q: Use the DerivaGem software to value, , , and European

Use the DerivaGem software to value, , , and European swap options to receive floating and pay fixed. Assume that the 1-, 2-, 3-, 4-, and 5-year interest rates are 3%, 3.5%, 3.8%, 4.0%, and 4.1%,...

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