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Use a similar approach to that in Problem to derive the relationship between the futures rate and the forward rate for the Hull-White model. Use the relationship to verify the expression for θ(t) given for the Hull-White model in equation (30.14).
Problem :
Use a change of numeraire argument to show that the relationship between the futures rate and forward rate for the Ho-Lee model is as shown in Section 6.3. Use the relationship to verify the expression for θ(t) given for the Ho-Lee model in equation (30.11). (Hint: The futures price is a martingale when the market price of risk is zero. The forward price is a martingale when the market price of risk is a zero-coupon bond maturing at the same time as the forward contract.)
Compute the duration for bond C, and rank the bonds on the basis of their price volatility. The current rate of interest is 8 percent, so the prices of bonds A and B are $1,000 and $1,268 respectively.
discuss the reason for the direct participation of goverment in business and
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The applicable depreciation rates are 33.33%, 44.45%, 14.81%, and 7.41%. Working capital would increase by $35,000 initially, but it would be recovered at the end of the project's 5-year life.
Consider two firms, With and Without, that have identical assets that generate identical cash flows. Without is an all-equity firm, with 1 million shares outstanding that trade for a price of $24 per share.
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Write the corresponding inference dual of (3.34). - Show that its solution provides a bound that is no better than that of the surrogate dual and no worse than that of the Lagrangean dual.
Assuming the sale price for each Christmas tree stays the same in 2014; calculate the contribution margin per Christmas tree for 2014. Show all workings.
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