The Effect of the asumed interest rate and smoothing on variable annuities

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<title>Effect of the asumed interest rate and smoothing on variable annuities</title>
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<namePart>Werker, Bas J. M. </namePart>
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<abstract displayLabel="Summary">In this paper, we consider the risk-return trade-off for variable annuities in a Black-Scholes setting. Our analysis is based on a novel explicit allocation of initial wealth over the payments at various horizons. We investigate the relationship between the optimal consumption problem and the design of variable annuities by deriving the optimal so-called assumed interest rate for an investor with constant relative risk aversion preferences. We investigate the utility loss due to deviations from this. Finally, we show analytically how habit-formation-type smoothing of financial market shocks over the remaining lifetime leads to smaller year-to-year volatility in pension payouts, but to increases in the longer-term volatility.</abstract>
<note type="statement of responsibility">Anne G. Balter, Bas J. M. Werker</note>
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<title>Astin bulletin</title>
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<publisher>Belgium : ASTIN and AFIR Sections of the International Actuarial Association</publisher>
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<identifier type="issn">0515-0361</identifier>
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<text>01/01/2020 Volumen 50 Número 1 - enero 2020 , p. 131-154</text>
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