Optimal Hedging Strategies for Multi-Period Guarantees in the Presence of Transaction Costs PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Optimal Hedging Strategies for Multi-Period Guarantees in the Presence of Transaction Costs PDF full book. Access full book title Optimal Hedging Strategies for Multi-Period Guarantees in the Presence of Transaction Costs by Stein-Erik Fleten. Download full books in PDF and EPUB format.
Author: Stein-Erik Fleten Publisher: ISBN: Category : Languages : en Pages : 17
Book Description
Multi-period guarantees are often embedded in life insurance contracts. In this paper we consider the problem of hedging these multi-period guarantees in the presence of transaction costs. We derive the hedging strategies for the cheapest hedge portfolio for a multi-period guarantee that with certainty makes the insurance company able to meet the obligations from the insurance policies it has issued. We find that by imposing transaction costs, the insurance company reduces the rebalancing of the hedge portfolio. The cost of establishing the hedge portfolio also increases as the transaction cost increases. For the multi-period guarantee there is a rather large rebalancing of the hedge portfolio as we go from one period to the next. By introducing transaction costs we find the size of this rebalancing to be reduced. Transaction costs may therefore be one possible explanation for why we do not see the insurance companies performing a large rebalancing of their investment portfolio at the end of each year.
Author: Stein-Erik Fleten Publisher: ISBN: Category : Languages : en Pages : 17
Book Description
Multi-period guarantees are often embedded in life insurance contracts. In this paper we consider the problem of hedging these multi-period guarantees in the presence of transaction costs. We derive the hedging strategies for the cheapest hedge portfolio for a multi-period guarantee that with certainty makes the insurance company able to meet the obligations from the insurance policies it has issued. We find that by imposing transaction costs, the insurance company reduces the rebalancing of the hedge portfolio. The cost of establishing the hedge portfolio also increases as the transaction cost increases. For the multi-period guarantee there is a rather large rebalancing of the hedge portfolio as we go from one period to the next. By introducing transaction costs we find the size of this rebalancing to be reduced. Transaction costs may therefore be one possible explanation for why we do not see the insurance companies performing a large rebalancing of their investment portfolio at the end of each year.
Author: Van Son Lai Publisher: ISBN: 9782895242918 Category : Languages : en Pages : 32
Book Description
"We propose a framework à la Davis et al. (1993) and Whalley and Wilmott (1997) to study dynamic hedging strategies on portfolios of financial guarantees in the presence of transaction costs. We contrast four dynamic hedging strategies including a utility-based dynamic hedging strategy, in conjunction with using an asset-based index, with the strategy of no hedging. For the proposed utility-based strategy, the portfolio rebalancing is triggered by the tradeoff between transaction costs and utility gains. Overall, using a Froot and Stein (1998) and Perold (2005) type of risk-adjusted performance measurement metric, we find the utility-based strategy to be a good compromise between the delta hedging strategy and the passive stance of doing nothing. This result is even stronger with higher transaction costs. However, if the insured firms assets are not traded or in a high transaction costs environment, the guarantor can use an index-based security as hedging instrument".
Author: Van Son Lai Publisher: ISBN: Category : Languages : en Pages : 34
Book Description
We propose a framework a la Davis et al. (1993) and Whalley and Wilmott (1997) to study dynamic hedging strategies on portfolios of financial guarantees in the presence of transaction costs. We contrast four dynamic hedging strategies including a utility-based dynamic hedging strategy, in conjunction with using an asset-based index, with the strategy of no hedging. For the proposed utility-based strategy, the portfolio rebalancing is triggered by the tradeoff between transaction costs and utility gains. Overall, using a Froot and Stein (1998) and Perold (2005) type of risk-adjusted performance measurement metric, we find the utility-based strategy to be a good compromise between the delta hedging strategy and the passive stance of doing nothing. This result is even stronger with higher transaction costs. However, if the insured firms assets are not traded or in a high transaction costs environment, the guarantor can use an index-based security as hedging instrument.
Author: Marco Avellaneda Publisher: ISBN: Category : Languages : en Pages :
Book Description
We introduce a new class of strategies for hedging derivative securities taking into account transaction costs, assuming lognormal continuous-time prices for the underlying asset. We do not assume that the payoff is convex as in Leland (J of Finance, 1985), or that the transaction costs are small compared to the price changes between portfolio adjustments, as in Hoggard, Whalley and Wilmott (Adv. in Futures and Options Res., 1993). The Leland number, A, which is proportional to the ratio of the round-trip tansaction cost over the typical price movement during the period between transactions, is a measure of the importance of transaction costs versus hedging risk. If A is greater than or equal to one, standard delta-hedging methods fail unless the payoff of the derivative security is a convex function of the price of the underlying asset. In contrast, our new strategies can be used effectively in the presence of large transaction costs to control simultaneously hedge-slippage as well as hedging costs. These strategies are associated with the solution an quot;obstacle problemquot; for a Black-Scholes diffusion equation with Leland's quot;augmentedquot; volatility, a parameter which depends on the volatility of the underlying asset as well as on A. The new strategies are such that the frequency for rebalancing the portfolio is variable. There are periods in which rehedging takes place often to control gamma-risk and other periods, which can be relatively long, when no transactions are needed. Moreover, instead of replicating exactly the final payoff, the strategies can yield a positive cash flow at expiration, according to the price history of the underlying security. The solution to the quot;obstacle problemquot; is often simple to calculate. There exist closed-form solutions for various securities of practical interest, such as digital options.
Author: Elettra Agliardi Publisher: ISBN: Category : Languages : en Pages : 13
Book Description
We study the destabilising effect of dynamic hedging strategies on the price of the underlying in the presence of sunk costs of transaction. Once sunk costs of transaction are taken into account, continuous portfolio rehedging is no longer an optimal strategy. Using a non-optimising (local in time) strategy for portfolio rebalancing, explicit dynamics for the price of the underlying are derived, focusing in particular on the excess volatility and feedback effects of these portfolio insurance strategies. Further, we show how these latter depend on the heterogeneity of the insured payoffs. Finally, conditions are derived under which it may still be reasonable, from a practical viewpoint, to implement Black - Scholes strategies.
Author: Terje Lensberg Publisher: ISBN: Category : Languages : en Pages : 20
Book Description
Hedging in the presence of transaction costs leads to complex optimization problems. These problems typically lack closed-form solutions, and their implementation relies on numerical methods that provide hedging strategies for specific parameter values. In this paper we use a genetic programming algorithm to derive explicit formulas for near-optimal hedging strategies under nonlinear transaction costs. The strategies are valid over a large range of parameter values and require no information about the structure of the optimal hedging strategy.
Author: Publisher: ISBN: Category : Languages : en Pages :
Book Description
We study the destabilising effect of dynamic hedging strategies on the price of the underlying in the presence of sunk costs of transaction. Once sunk costs of transaction are taken into account, continuous portfolio rehedging is no longer an optimal strategy. Using a non-optimising (local in time) strategy for portfolio rebalancing, explicit dynamics for the price of the underlying are derived, focusing in particular on the excess volatility and feedback effects of these portfolio insurance strategies. Further, we show how these latter depend on the heterogeneity of the insured payoffs. Finally, conditions are derived under which it may still be reasonable, from a practical viewpoint, to implement Black - Scholes strategies.
Author: Stein-Erik Fleten
Author: Stein-Erik Fleten
Author: Stein-Erik Fleten
Author: Van Son Lai
Author: Van Son Lai
Author: Husnu Kipeak
Author: Ola Backman
Author: Marco Avellaneda
Author: Elettra Agliardi
Author: Terje Lensberg
Author: