Ch 16: Unit pricing

Question 1

Summary Card

Answer 1

• Definitions & principles
• Unit price calculation
• Bases
• Adjustments

Question 2

Define an internal unit-linked fund (6)

Answer 2

• PH sold units in the fund=> rep share of assets
• Consists of a clearly identifiable set of assets, for example equities, property, fixed-interest securities and deposits.
• Fund is divided into equal units consisting of identical sub-sets of fund’s assets and liabilities.
• Responsibility for unit pricing rests with company, subject to any relevant policy conditions.
• More units can be created:
  
  • To cover unit liabilities => management of fund
  • Aim to match #units in issue to PH

Question 3

What are the risks associated with unit pricing? (7)

Answer 3

1. Underlying assets
   
   • Volatile
   • Large movement in market values (company liabilities depend on unit price, thus not exactly matched to underlying assets)
   • Timing delays (introduces price risk needing to be managed)
2. Approximations included in price
   
   • Tax on unrealised capital gains
   • Accrued assets/liabilities (e.g. accrued interest not year received)
   • Estimates of asset market values (e.g property prices not immediately observable; risk of estimates being wrong compared to correct price)
3. Errors in actual calculations
   
   • Appropriation/expropriation basis (risk of wrong basis used to calc UP)
   • Prices based on incorrect data (e.g. ass manager gives wrong asset MV)
   • Error in calculation routine
4. Regulations restricting policy charges (which may be included in price, changes in this pose a risk)
5. Negative impact on company profits/income
   
   • because charges are based on value of units
   • company expected to make up shortfall in policyholder benefits resulting from pricing error
6. Negative impact on reputation (in turn affect new business/incr withdrawals)
7. Anti-selection (policholders selectively disinvesting if aware that UP overstates NAV)

Question 4

State the basic equity pricinple of unit pricing for an internal unit-linked fund (4)

1.2.1.1.3

Answer 4

• The interests of unit-holders not involved in a unit transaction should be unaffected by that transaction.
• Policy documents state how unit pricing will work
  
  • of a unit
  • max prices for allocating/min price for surrendering units
• Unit prices only need to be calc when transactions OR measure fund perf
• Creation/cancellation, buying/selling of units should not given rise to change in NAV per unit
• Only redemption and allocation price is relevant to PH. Movements dep on:
  
  • Asset performance
  • charges deductible under policy provisions
  • shouldn’t be affected by unit creation/cancellation, else cross-subsidies exist

Question 5

Outline the difference between an offer basis and a bid basis, and which basis is used in practice? (7)

Answer 5

• Offer basis (buy assets from market)
  
  • used for fund expansion/creation of units
  • marginal transaction involving creation of units
  • money put into fund = net number units being created * appropriation price
• Bid basis (sell assets to market)
  
  • used for fund contraction
  • marginal transaction involving cancellation of units
  • money taken out of fund = net number units cancelled * expropriation price
• Companies more likely practice broad equity approach under which basis is only changed if there is a significant movement against existing basis
  
  • e.g. significant inflow for fund currently priced on bid (expropration) basis

Question 6

Outline the difference between an offer price and a bid price

Answer 6

• Offer price - price at which units offered for sale to policyholder
• can be offer or bid basis
  
  • offer basis
    
    • Number of units being allocated exceeds that being surrendered (requires net creation of units in fund). Company could use an unadjusted appropriation price for dealing with policyholders, but for commercial and practical reasons there are two types of adjustments that may be made.
  • bid basis
    
    • daily pricing, where for a particular fund on a particular day the number of units being surrendered exceeds that being allocated. Prices derived from the expropriation price.
• Bid price - price at which units will be bought from policyholder
• can be offer or bid basis
  
  • offer basis
    
    • Number of units being allocated exceeds that being surrendered (requires net creation of units in fund). Company could use an unadjusted appropriation price for dealing with policyholders, but for commercial and practical reasons there are two types of adjustments that may be made.
  • bid basis
    
    • Daily pricing, where for a particular fund on a particular day the number of units being surrendered exceeds that being allocated. Prices derived from the expropriation price.

Question 7

Define:

1. Appropriation price
2. Expropriation price

Answer 7

Appropriation price

• NAV of fund on an offer basis
• amount of money per unit put into a unit-linked fund for each new unit approprated ie created, such that the net asset value per unit is the same after as before the appropration.
• therefore, it is the price at which the company will create a unit

Expropriation price

• NAV of fund on a bid basis
• amount of money taken out of a unit-linked fund for each unit expropriated cancelled, such that the net asset value per unit is the same after as before the expropriation.
• therefore, it is the price at which a company will cancel units

Question 8

Outline how the appropriation price is calculated (4)

Answer 8

1. market value ‘offer price’ of assets held by fund + the expenses + any duty that would be incurred in the purchase
2. ’+ value of any current assets, such as cash on deposit or investments sold but not yet settled
3. ’- value of any liabilities, such as investmens purchased but not yet settled or loans to the fund
4. ’- any allowance/accrual for tax, if applicable
5. ’+ accrued income (interest inc net of tax)

This gives a net asset value of the fund on an ‘offer basis’.
Dividing the number of units existing at the valuation date i.e. before any new units are created, gives the appropriate price.

Question 9

Explain how the calculation of the expropriation price differs from that of the appropriating price (3)

Answer 9

1. Main difference is that starting point is the MV assets received from selling the assets in the fund
2. This requires that the investments of the fund are valued on a market ‘bid basis’,
3. and that the expenses that would be incurred in the sale are deducted.

Question 10

Describe the 2 main adjustments that are likely to be made to either the appropriation price or the expropriation price in order to determine the offer price and bid price used when dealing with policyholders (2)

4.4

Answer 10

Initial charges

• companies may want to make a charge to contribute towards initial expenses, including any commission and possibly profit
• offer price = appropriation/expropration price + initial charge and the
• bid price = appropriation/expropration price
• initial charge may also be referred to as bid/offer spread

Rounding

• it is normal to quote prices rounded to a certain number of decimal places
• In favour of the insurer:
• Offer price round up
• Bid price round down

Question 11

What considerations should be given to charges levied on the unit-linked fund, hence unit price?

Answer 11

• What the charges are used to fund
  
  • expenses (initial, renewal, termination)
  • cost of capital
  • profit
  • death/maturity guarantees
• Charges start low level (then grow as fund increase)
• Matching cashflows
  
  • difficult to match initial expenses, since charges start low
  • likely to be greater than ongoing costs later
• Charges calculation
  
  • fixed amount or related to fund value?
  • related to FV exposes company to market risk, particulalry when majority of charges will be of this form