Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 266-277 |
| Journal | Insurance Mathematics & Economics |
| Volume | 47 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2010 |
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Pricing Guaranteed Annuity Options using a Stochastic Volatility model for equity prices. / van Haastrecht, A.; Pelsser, A.
In: Insurance Mathematics & Economics, Vol. 47, No. 3, 2010, p. 266-277.Research output: Contribution to Journal › Article › Academic › peer-review
TY - JOUR
T1 - Pricing Guaranteed Annuity Options using a Stochastic Volatility model for equity prices
AU - van Haastrecht, A.
AU - Pelsser, A
PY - 2010
Y1 - 2010
N2 - Guaranteed annuity options are options providing the right to convert a policyholder's accumulated funds to a life annuity at a fixed rate when the policy matures. These options were a common feature in UK retirement savings contracts issued in the 1970's and 1980's when interest rates were high, but caused problems for insurers as the interest rates began to fall in the 1990's. Currently, these options are frequently sold in the US and Japan as part of variable annuity products. The last decade the literature on pricing and risk management of these options evolved. Until now, for pricing these options generally a geometric Brownian motion for equity prices is assumed. However, given the long maturities of the insurance contracts a stochastic volatility model for equity prices would be more suitable. In this paper explicit expressions are derived for prices of guaranteed annuity options assuming stochastic volatility for equity prices and either a 1-factor or 2-factor Gaussian interest rate model. The results indicate that the impact of ignoring stochastic volatility can be significant. © 2010 Elsevier B.V.
AB - Guaranteed annuity options are options providing the right to convert a policyholder's accumulated funds to a life annuity at a fixed rate when the policy matures. These options were a common feature in UK retirement savings contracts issued in the 1970's and 1980's when interest rates were high, but caused problems for insurers as the interest rates began to fall in the 1990's. Currently, these options are frequently sold in the US and Japan as part of variable annuity products. The last decade the literature on pricing and risk management of these options evolved. Until now, for pricing these options generally a geometric Brownian motion for equity prices is assumed. However, given the long maturities of the insurance contracts a stochastic volatility model for equity prices would be more suitable. In this paper explicit expressions are derived for prices of guaranteed annuity options assuming stochastic volatility for equity prices and either a 1-factor or 2-factor Gaussian interest rate model. The results indicate that the impact of ignoring stochastic volatility can be significant. © 2010 Elsevier B.V.
U2 - 10.1016/j.insmatheco.2010.06.007
DO - 10.1016/j.insmatheco.2010.06.007
M3 - Article
VL - 47
SP - 266
EP - 277
JO - Insurance Mathematics & Economics
JF - Insurance Mathematics & Economics
SN - 0167-6687
IS - 3
ER -