Suppose that x is the yield to maturity with continuous compounding on a zero-coupon bond that pays

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Suppose that x is the yield to maturity with continuous compounding on a zero-coupon bond that pays off $1 at time T. Assume that x follows the process 

dx = a(x0 – x) dt + sx dz

where a, x0, and s are positive constants and dz is a Wiener process. What is the process followed by the bond price? 

Compounding
Compounding is the process in which an asset's earnings, from either capital gains or interest, are reinvested to generate additional earnings over time. This growth, calculated using exponential functions, occurs because the investment will...
Maturity
Maturity is the date on which the life of a transaction or financial instrument ends, after which it must either be renewed, or it will cease to exist. The term is commonly used for deposits, foreign exchange spot, and forward transactions, interest...
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