Optimal dividend problems for Sparre Andersen risk model with bounded dividend rates

ABSTRACT

This paper concerns the optimal dividend problem with bounded dividend rate for Sparre Andersen risk model. The analytic characterizations of admissible strategies and Markov strategies are given. We use the measure-valued generator theory to derive a measure-valued dynamic programming equation. The value function is proved to be of locally finite variation along the path, which belongs to the domain of the measure-valued generator. The verification theorem is proved without additional assumptions on the regularity of the value function. Actually, the value function may have jumps. Under certain conditions, the optimal strategy is presented as a Markov strategy with space-time band structure. We present an iterative algorithm to approximate the optimal value function and the optimal dividend strategy. As applications, some numerical examples are given.     

The Market Value of UK Dividends From Shares With Differing Entitlements

Abstract:   This paper determines the market value of dividends in the UK during periods before and after 1997. Previous studies, which use the ex‐dividend day method, tend to provide noisy and potentially biased measures of dividend value. We estimate the value of dividends from the prices of shares that are identical except for their dividend entitlements, and are traded concurrently (within the same hour). We argue that our estimates of dividend value are the cleanest yet available for the UK. Our evidence suggests that ex‐dividend day estimates are biased downwards, but that this bias may be mitigated by the use of robust regression. Dividend values are heterogeneous and are not explained by the tax‐clientele hypothesis.     

The 4% strategy revisited: a pre-commitment mean-variance optimal approach to wealth management

In contrast to single-period mean-variance (MV) portfolio allocation, multi-period MV optimal portfolio allocation can be modified slightly to be effectively a down-side risk measure. With this in mind, we consider multi-period MV optimal portfolio allocation in the presence of periodic withdrawals. The investment portfolio can be allocated between a risk-free investment and a risky asset, the price of which is assumed to follow a jump diffusion process. We consider two wealth management applications: optimal de-accumulation rates for a defined contribution pension plan and sustainable withdrawal rates for an endowment. Several numerical illustrations are provided, with some interesting implications. In the pension de-accumulation context, Bengen (1994)’s [J. Financial Planning, 1994, 7, 171–180], historical analysis indicated that a retiree could safely withdraw 4% of her initial retirement savings annually (in real terms), provided that her portfolio maintained an even balance between diversified equities and U.S. Treasury bonds. Our analysis does support 4% as a sustainable withdrawal rate in the pension de-accumulation context (and a somewhat lower rate for an endowment), but only if the investor follows an MV optimal portfolio allocation, not a fixed proportion strategy. Compared with a constant proportion strategy, the MV optimal policy achieves the same expected wealth at the end of the investment horizon, while significantly reducing the standard deviation of wealth and the probability of shortfall. We also explore the effects of suppressing jumps so as to have a pure diffusion process, but assuming a correspondingly larger volatility for the latter process. Surprisingly, it turns out that the MV optimal strategy is more effective when there are large downward jumps compared to having a high volatility diffusion process. Finally, tests based on historical data demonstrate that the MV optimal policy is quite robust to uncertainty about parameter estimates.     

Rapid housing privatization in reforming economies: Pay the special dividend now

State ownership and operation of the housing stock in the previously centrally planned economies severely distorts housing markets, stifles labor mobility, and produces operating losses that exacerbate fiscal deficits. The conventional wisdom regarding structural reform is to gradually increase administered rents, thereby reducing deficits. Housing sales, where they occur, are primarily motivated to generate revenue to cover deficits in current operating budgets. We argue that the perceived benefits to a prolonged transition are illusory and the social costs are high.Housing will be affordable only if the population's current ownership of the existing housing stock is recognized and dividends on it are paid out. The payment can be a regular dividend (e.g., housing allowances) or a one-time special dividend (e.g., ownership vouchers). The latter is preferable.