SOA精算师考试——北美地区真题系列Course8V(1)
来源:
高顿网校
2014-07-31
高顿网校报考的学员们,大家别松懈的去参加精算师考试哦,时间还是有的,拿下明年年初的精算师考试资格证吧!
COURSE 8: Fall 2005 - 1 - GO TO NEXT PAGE
COURSE 8: Fall 2005 - 1 - GO TO NEXT PAGE
Investment
Morning Session
**BEGINNING OF EXAMINATION**
INVESTMENT
MORNING SESSION
Questions 1-4 pertain to the Case Study
1. (6 points)
(a) Assess the consistency of the definition of a derivative in LifeCo’s operational
guidelines with the definition under US GAAP.
(b) Describe how LifeCo’s Derivative Policy addresses operational and legal risks.
(c) Recommend additional controls to better address these risks.
COURSE 8: Fall 2005 - 2 - GO TO NEXT PAGE
Investment
Morning Session
Questions 1-4 pertain to the Case Study
2. (5 points) A new actuarial student at LifeCo is very excited about the "profit" your
portfolio is generating with MBS. He views "profit" on an MBS bond as the difference
between OAS and the liability required interest spread over Treasuries.
(a) Explain why "profit" may not equal the difference between OAS and the required
interest spread with a Jump Z-bond.
(b) Explain why "profit" may not equal the difference between OAS and the required
interest spread for more general securities.
The student recommends that LifeCo could be more profitable and better durationmatched
by replacing the current MBS within the Traditional Life portfolio with Zbonds.
Z-bonds, the student argues, have a higher OAS, higher duration, and lower
convexity than the current MBS.
(c) Evaluate this recommendation.
COURSE 8: Fall 2005 - 3 - GO TO NEXT PAGE
Investment
Morning Session
Questions 1-4 pertain to the Case Study
3. (13 points) LifeCo’s management is concerned by the losses arising from the dynamic
hedging of the options embedded in its variable annuities. An external report highlighted
that the target delta is currently based on a lognormal distribution with the volatility equal
to the sample standard deviation of the fund investment return over the past 12 months.
(a) Describe the options embedded in the variable annuity product.
(b) Describe and compare the following models used to estimate the volatility from
past data
(i) sample standard deviation
(ii) exponentially weighted moving average model
(iii) generalized auto-regressive conditional heteroscedasticity
(c) Recommend ways to improve the dynamic hedging program.
(d) Describe strategies that can be used to minimize the model risk.
LifeCo is considering whether to continue its current dynamic hedging program or pursue
another risk management strategy.
(e) Review alternative strategies for managing the embedded option exposure.
(f) Recommend which of these strategies would be most appropriate if the dynamic
hedging strategy is discontinued. Justify your recommendation.
COURSE 8: Fall 2005 - 4 - GO TO NEXT PAGE
Investment
Morning Session
Questions 1-4 pertain to the Case Study
4. (10 points) You have recently been promoted to Chief ALM Officer at LifeCo. The
CEO has called a meeting with you and the pricing actuary to discuss the launch of a new
universal life product.
(a) (2 points) The CEO, an accountant by training, emphasizes the importance of
statutory and GAAP measures to determine the economic value of the insurer.
Critique this standpoint.
(b) (4 points) Explain how to coordinate LifeCo’s investment and product
management strategies for future retentions for this new product to protect
LifeCo’s shareholder value from interest rate risk.
(c) (1 point) The pricing actuary expects to increase future credited rates as interest
rates rise. Explain how LifeCo’s investment strategy should be adjusted to
protect shareholder value from interest rate risk.
(d) (1 point) LifeCo’s key competitors keep credited rates unchanged regardless of
changes in interest rates. Assess how their approach could affect your strategy in
part (c).
(e) (2 points) Propose a method for LifeCo to implement the changes in parts (c) and
(d) that would minimize transaction costs.
COURSE 8: Fall 2005 - 5 - GO TO NEXT PAGE
Investment
Morning Session
5. (7 points) The table below has the 10 largest capital requirements at issue from 100
scenarios for a variable annuity with a GMDB of a return of premium. Requirements are
given for the real world and risk-neutral approaches. A negative value indicates a
surplus.
Approach
Real
World -0.35% -0.30% -0.25% -0.10% -0.10% -0.10% -0.10% 0.40% 1.10% 2.70%
Risk-
Neutral -0.30% -0.28% -0.26% -0.24% -0.21% -0.17% -0.10% 0.00% 0.20% 0.40%
Based on this data, the CEO suggests allocating capital based on the real world approach
at a quantile of 91% but if the market performs poorly to switch to the risk-neutral
approach with a CTE at 95%.
(a) Define the quantile risk measure.
(b) Calculate the 91% and 95% quantile measures for each approach.
(c) De
高顿网校之名人心得:每一个人都具有特殊能力的电路,但大多数人因为不知道,所以无法充分利用,就好像怀重宝而不知其在;只要能发掘出这项秘藏的能力,人类的能力将会完全大改观,也能展现出超乎常人的能力。——超右脑革命作者、日本科学会顾问 七田真
高顿网校之名人心得:每一个人都具有特殊能力的电路,但大多数人因为不知道,所以无法充分利用,就好像怀重宝而不知其在;只要能发掘出这项秘藏的能力,人类的能力将会完全大改观,也能展现出超乎常人的能力。——超右脑革命作者、日本科学会顾问 七田真
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