Institutional Investors: Objectives, Constraints and Allocation

Learning objectives

You can:

1. Rewrite the seven-line investment policy skeleton for an institution, stating for each line what changes when the client is a legal entity with a board rather than a person, and defend each change against the private-client version.
2. Compute a funded ratio, a liability duration and a currency-duration hedge ratio from a stated benefit schedule, and explain why matched durations under-hedge whenever assets are smaller than liabilities.
3. Solve for the asset duration a stated hedge ratio requires, test it against a mandate's investment limits, and state which of the two binds.
4. Run a ten-year spending-rule comparison across the simple, smoothed, hybrid and banded-inflation families, and report the distribution volatility and terminal real corpus each one produces.
5. Derive a foundation's required return from its payout floor, its fee load, its excise tax and its inflation assumption, and show why the additive shortcut understates it.
6. Classify a bank's securities book as held to maturity or available for sale, compute the capital consequence of each under a stated capital rule, and price the liquidity trap the safer-looking classification creates.
7. Diagnose spread compression on a guaranteed insurance block, computing the book yield after a stated share of assets rolls at a lower reinvestment rate, and identify the break-even reinvestment rate.
8. Compute a casualty insurer's blended payout duration and its after-tax yields under the proration rule, and show that the same two bonds rank in opposite orders for an insurer and for an ordinary taxpayer.
9. Classify a sovereign fund into the five-type taxonomy from its own stated mandate, and derive the horizon, the liquidity requirement and the risk tolerance that follow from the classification.
10. Price a binding constraint in basis points against a named alternative, including the constraint governance capacity imposes, and write the one-page finding a board can act on.

Prerequisites & connections

Builds on. AA1.01 supplies the frontier, the policy portfolio and the strategic-versus-tactical split; every policy portfolio derived here is a point on machinery that module built. AA1.02 supplies risk budgeting, the funded ratio and the surplus-volatility arithmetic, and its duration-gap example is the direct ancestor of the first worked example here, which extends it into the hedge-ratio decision rather than repeating it. FI1.02 supplies modified duration, convexity and the approximation's error term. M3.01 supplies present value and the annuity formulas used to discount every liability schedule below. PW1.01 supplies the private-client policy statement, the contrast case throughout. M1.12 supplies pension accounting, including how a discount rate is chosen and what a remeasurement does to reported equity.

Feeds forward. AA1.04 builds the capital-market expectations a policy portfolio consumes, and the mini-project below takes its table as an input. AA1.06 and AA1.07 take the institutional mandate as given and ask how to fill it with managers. FI1.06 owns liability-driven investing as a fixed-income discipline, including cash-flow matching, immunisation and the derivative overlays a mandate-constrained trust reaches for when the cash bond market cannot deliver the duration. AL1.04 takes the allocation question into private markets and real assets, where the governance constraint developed here bites hardest.

Deliberate non-overlaps. PW1.01 owns the private-client policy statement in full: human capital, the ability-versus-willingness split, tax-aware location, estate transfer and the concentrated-position unwind. What appears here is the institutional contrast, line by line, and never the private-client derivation. AA1.02 owns risk budgeting, risk parity and the funded-ratio arithmetic at the allocation level, and it owns the goals-based bucket framework; both are cited and extended here, never rebuilt. AA1.01 owns mean-variance optimisation and the constrained frontier, so the policy portfolios below are stated and priced rather than optimised. M1.12 owns pension accounting, so the discount-rate choice, the service and interest cost, and the remeasurement mechanics live there and not here. M5.01 owns banks as businesses and M5.03 owns insurers as businesses, including underwriting analysis, reserve adequacy and embedded value; both appear below only as investors deploying a portfolio under a regulator's rules. ES1.02 owns the regulatory architecture itself, so every rule cited below carries a verify flag and a pointer to its primary source rather than a re-teaching of the regime.