Old Shoreham Research

Research

The funds and payoff products rest on a research programme that is published in full. Three working papers set out when behaviour can be written as a constraint on the wealth path, the return an investor can actually hold, and whether building products around that return pays for itself; alongside them sits the first study of Nigerian investors drawn from our own assessment data.

Working paper, 2026. Measure

Behaviourally Realisable Return

Forecasting the investment an investor can actually hold

The return printed on a factsheet is the return of holding to maturity. The return an investor realises is the return of the strategy she actually implements, exits included, and the two are rarely the same. This paper defines the behaviourally realisable return as the annualised certainty equivalent of implemented value, and the implementation drag as its gap to the certainty equivalent of holding, and then uses the measure to compare a family of floored notes with a family of constant-mix portfolios for investors of varying risk aversion under monthly monitoring.

The floor an investor should be given rises with her risk aversion, from roughly eighty-five percent of capital at log utility to par at the point where the note is dominated, and an investor of intermediate risk aversion is served almost exactly by the ninety percent floor that the market already sells. The implementation wedge survives every robustness check in the paper; the sharp corners and one-basis-point cliffs reported under annual monitoring do not, and are shown to be artefacts of the monitoring interval rather than features of the problem.

Result. The optimal floor is a function of risk aversion, and the return an investor keeps can be forecast before the market moves rather than measured after it has.

Oduwole, O. (2026). Behaviourally Realisable Return: Forecasting the Investment an Investor Can Actually Hold. Old Shoreham Investment Management working paper, prepared for journal submission.

Oladayo Oduwole
Behavioural Research, 2026. Study

Attitudes to Risk in Nigeria

Nigerian attitudes to risk and the empty shelf

Most Nigerians are shown a forecast rate of return, decide how much to invest, and meet the risk questionnaire afterwards, which is the wrong order, and this report sets out what the assessment finds when the order is reversed. It is drawn from our own FREBO assessment data rather than from a borrowed questionnaire, reads the results at the level of the five dimensions rather than the usual conservative, moderate and growth boxes, and covers the differences that appear by age and by sex.

Investors are mapped on two axes: Fortress, the weight a person places on protecting what she has, and Opportunism, the weight she places on the chance of more. Four groups appear on the map, and the report's central finding about the Nigerian shelf is that most of what is sold serves only one of them, which is the empty shelf of the title.

Fortress and Opportunism map with four investor groups FORTRESS, PROTECTION FIRST FORTRESS, PROTECTION LAST OPPORTUNISM LOW OPPORTUNISM HIGH Landlords Protection first, little appetite for the chase Merchants The floor and the upside in the same instrument Spectators Watching from the side, undecided on both counts Traders Upside first, protection an afterthought

The shaded quadrant is the one the Nigerian shelf serves least well: investors who want the floor and the upside in one instrument, and are sold either.

Old Shoreham Investment Management (2026). Attitudes to Risk in Nigeria. Behavioural Research series.

Working paper, 2026. Theory

When Does Behaviour Reduce to a Wealth-Path Constraint?

Trigger vectors, filtration enlargement and the limits of pathwise representation

An investor who abandons a strategy when the loss becomes unbearable is not optimising a new utility function; she is revealing a constraint on the paths she is able to hold. This paper makes that observation precise. It replaces the single exit threshold of the earlier literature with a vector of triggers, loss from inception, drawdown from the peak, lag against a reference asset, inactivity and irregularity, each with its own action, and shows that when a trigger reads only the wealth path and its action is absorbing, maximising the value an investor actually realises is equivalent to classical optimisation over a hard drawdown-constrained set. The behavioural contribution is an elicited personal feasibility constraint rather than a new objective, which is why it can be carried into a Merton problem without changing the mathematics of the problem.

The paper also draws the boundary of that result. Two products with identical terminal distributions can differ in every drawdown their holder must survive, so the order-invariant criteria that suitability rests on, volatility, Sharpe, Sortino, value at risk, expected shortfall and the terminal distribution itself, are together insufficient to rank products for a given person. And a trigger that reads external state, a benchmark, a peer, the news, admits no wealth-path representation at all, so part of what investors do cannot be handled as a constraint and must be handled as design.

Result. Behaviour reduces to a wealth-path constraint exactly when the trigger is exit-stable and reads the path alone; outside that class the reduction fails and product design takes over.

Oduwole, O. (2026a). When Does Behaviour Reduce to a Wealth-Path Constraint? Trigger Vectors, Filtration Enlargement and the Limits of Pathwise Representation. Old Shoreham Investment Management working paper.

Working paper, 2026. Design

Does Behavioural Product Design Pay for Itself?

Assignment value, manufacturing spread and the boundary for behavioural instruments

A behavioural product is worth building only if the value it creates for the investors who can hold it exceeds the spread paid to manufacture it, and this paper prices both sides. Assignment value is the gain from matching investors to products by the path each can hold rather than by average product superiority, and it exists only where investors disagree about the ranking of products once conventional preferences are held fixed; a reversal that conventional preferences already explain is not a behavioural result. Manufacturing spread is what the option leg and the funding leg cost.

The boundary between the two is derived as a surface over the floor, the tenor, the investor's risk aversion and the interest rate. Breakevens run from under seventy basis points to several hundred depending on where one stands on that surface, and the region where design pays is identified: partial rather than full floors, longer tenors, and manufacture in-house rather than bought from a bank. In a high-rate, high-volatility market such as Nigeria the clearing structure is an above-par floor with reduced participation, and the breakeven there is largely attributable to implementation rather than to the conventional economics of the note.

Result. Behavioural design pays inside a defined region of floor, tenor, risk aversion and rates, and the paper draws that region rather than asserting it.

Oduwole, O. (2026b). Does Behavioural Product Design Pay for Itself? Assignment Value, Manufacturing Spread and the Boundary for Behavioural Instruments. Old Shoreham Investment Management working paper.

The three papers are working papers and remain subject to revision; comments and referee reports are invited. The Nigerian study reports its findings as percentages of a sample that is still being finalised, so counts are not published and figures may move at the final edition. Correspondence to welcome@oldshoreham.com.