Option Pricing, Zero Lower Bound, and COVID-19

This paper provides a quantitative assessment of equity options priced at the Zero Lower Bound, i.e., when interest rates are set essentially to zero. We obtain closed form formulas for American options when the Zero Lower Bound policy holds. We perform numerical implementation of American put optio...

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Main Authors: Giacomo Morelli, Lea Petrella
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Risks
Subjects:
Online Access:https://www.mdpi.com/2227-9091/9/9/167
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spelling doaj-b59b402cf49e4ff8b9daced3c2a638352021-09-26T01:20:25ZengMDPI AGRisks2227-90912021-09-01916716710.3390/risks9090167Option Pricing, Zero Lower Bound, and COVID-19Giacomo Morelli0Lea Petrella1Department of Statistical Sciences, Sapienza University of Rome, 00185 Rome, ItalyMEMOTEF Department, Sapienza University of Rome, 00161 Rome, ItalyThis paper provides a quantitative assessment of equity options priced at the Zero Lower Bound, i.e., when interest rates are set essentially to zero. We obtain closed form formulas for American options when the Zero Lower Bound policy holds. We perform numerical implementation of American put options written on the stock Federal National Mortgage Association (FNMA) and of related bounds for the optimal exercise. The results show similarities with the corresponding European options priced at the Zero Lower Bound during the COVID-19 crisis.https://www.mdpi.com/2227-9091/9/9/167option pricingZero Lower BoundCOVID-19
collection DOAJ
language English
format Article
sources DOAJ
author Giacomo Morelli
Lea Petrella
spellingShingle Giacomo Morelli
Lea Petrella
Option Pricing, Zero Lower Bound, and COVID-19
Risks
option pricing
Zero Lower Bound
COVID-19
author_facet Giacomo Morelli
Lea Petrella
author_sort Giacomo Morelli
title Option Pricing, Zero Lower Bound, and COVID-19
title_short Option Pricing, Zero Lower Bound, and COVID-19
title_full Option Pricing, Zero Lower Bound, and COVID-19
title_fullStr Option Pricing, Zero Lower Bound, and COVID-19
title_full_unstemmed Option Pricing, Zero Lower Bound, and COVID-19
title_sort option pricing, zero lower bound, and covid-19
publisher MDPI AG
series Risks
issn 2227-9091
publishDate 2021-09-01
description This paper provides a quantitative assessment of equity options priced at the Zero Lower Bound, i.e., when interest rates are set essentially to zero. We obtain closed form formulas for American options when the Zero Lower Bound policy holds. We perform numerical implementation of American put options written on the stock Federal National Mortgage Association (FNMA) and of related bounds for the optimal exercise. The results show similarities with the corresponding European options priced at the Zero Lower Bound during the COVID-19 crisis.
topic option pricing
Zero Lower Bound
COVID-19
url https://www.mdpi.com/2227-9091/9/9/167
work_keys_str_mv AT giacomomorelli optionpricingzerolowerboundandcovid19
AT leapetrella optionpricingzerolowerboundandcovid19
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