This paper constructs a closed-form generalization of the Black-Scholes model for the case where the short-term interest rate follows a stochastic Gaussian process. Capturing this additional source of uncertainty appears to have a considerable effect on option prices. We show that the value of...

This paper constructs a closed-form generalization of the Black-Scholes model for the case where the short-term interest rate follows a stochastic Gaussian process. Capturing this additional source of uncertainty appears to have a considerable effect on option prices. We show that the value of...

We propose and implement a method that provides quantitative estimates of the extent to which higher- than-expected inflation can lower the real value of outstanding government debt. Looking forward, we derive a formula for the debt burden that relies on detailed information about debt maturity...

We propose and implement a method that provides quantitative estimates of the extent to which higher- than-expected inflation can lower the real value of outstanding government debt. Looking forward, we derive a formula for the debt burden that relies on detailed information about debt maturity...

This paper proposes a new method to measure the impact of inflation on the real value of public debt. The distribution of debt debasement is based on two inputs: the distribution of privately-held nominal debt by maturity, for which we provide new estimates, and the distribution of risk-adjusted...