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We derive a unified model which gives closed form solutions for caps and floors written on interest rates as well as puts and calls written on zero-coupon bonds. The crucial assumption is that forward rates with a compounding period that matches the contract, which we want to price, is...
Persistent link: https://www.econbiz.de/10004968292
The paper developes a general arbitrage free model for the term structure of interest rates. The principal model is formulated in a discrete time structure. It differs substantially from the Ho--Lee-- Model (1986) and does not generate negative spot and forward rates. The results for the...
Persistent link: https://www.econbiz.de/10005032172
A term structure model with lognormal type volatility structure is proposed. The Heath, Jarrow and Morton (HJM) framework, coupled with the theory of stochastic evolution equations in infinite dimensions, is used to show that the resulting rates are well defined (they do not explode) and remain...
Persistent link: https://www.econbiz.de/10004968197
The lognormal distribution assumption for the term structure of interest is the most natural way to exclude negative spot and forward rates. However, imposing this assumption on the continuously compounded interest rate has a serious drawback: expected rollover returns are infinite even if the...
Persistent link: https://www.econbiz.de/10004968308
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Persistent link: https://www.econbiz.de/10005184361
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We propose an experimental method to test individuals for prudence (i.e. downside risk aversion) outside the expected utility framework. Our method relies on a novel representation of compound lotteries which allows for a systematic parameterization that captures the full generality of prudence....
Persistent link: https://www.econbiz.de/10004981447
We show that the saddle-point approximation method to quantify the impact of undiversi?ed idiosyncratic risk in a credit portfolio is inappropriate in the presence of double default effects. Speci?cally, we prove that there does not exist an equivalent formula to the granularity adjustment, that...
Persistent link: https://www.econbiz.de/10005009777
When investments are non-verifiable, inducing cooperative investments with simple contracts may not be as difficult as previously thought. Indeed, modeling “expectation damages” close to legal practice, we show that the default remedy of contract law induces the ?rst best. Yet, in order to...
Persistent link: https://www.econbiz.de/10005009778
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