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20072022
most citedOptimal Risk Sharing under Distorted Probabilities

49 citations · 115 across the 28 of their papers we have counts for

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6 papers · 1 filter

q-fin.PR2007★ 21 cited

Financial Valuation of Mortality Risk via the Instantaneous Sharpe Ratio: Applications to Pricing Pure Endowments

Moshe A. Milevsky, S. David Promislow, Virginia R. Young

We develop a theory for pricing non-diversifiable mortality risk in an incomplete market. We do this by assuming that the company issuing a mortality-contingent claim requires comp…

q-fin.PR2007★ 2 cited

Pricing Life Insurance under Stochastic Mortality via the Instantaneous Sharpe Ratio: Theorems and Proofs

Virginia R. Young

We develop a pricing rule for life insurance under stochastic mortality in an incomplete market by assuming that the insurance company requires compensation for its risk in the for…

q-fin.PM2007

Mutual Fund Theorems when Minimizing the Probability of Lifetime Ruin

Erhan Bayraktar, Virginia R. Young

We show that the mutual fund theorems of Merton (1971) extend to the problem of optimal investment to minimize the probability of lifetime ruin. We obtain two such theorems by cons…

math.OC2007

Minimizing the Probability of Lifetime Ruin under Borrowing Constraints

Erhan Bayraktar, Virginia R. Young

We determine the optimal investment strategy of an individual who targets a given rate of consumption and who seeks to minimize the probability of going bankrupt before she dies, a…

math.OC2007★ 3 cited

Optimal Deferred Life Annuities to Minimize the Probability of Lifetime Ruin

Erhan Bayraktar, Virginia R. Young

We find the minimum probability of lifetime ruin of an investor who can invest in a market with a risky and a riskless asset and can purchase a deferred annuity. Although we let th…

math.OC2007

Pricing Options in Incomplete Equity Markets via the Instantaneous Sharpe Ratio

Erhan Bayraktar, Virginia R. Young

We use a continuous version of the standard deviation premium principle for pricing in incomplete equity markets by assuming that the investor issuing an unhedgeable derivative sec…