CT1- Ifoa Sept, 2015

Discussion in 'CT1' started by Bharti Singla, Feb 24, 2017.

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  1. Bharti Singla

    Bharti Singla Senior Member

    Hii all
    In the below attached qus., part(iii) tells that there will be a loss to the company if there is a small increase in interest rate since the DMT of assets is greater than the DMT of liabilities. What I'm getting from this qus. is the following four cases:
    If DMTA > DMTL → small increase in i→Loss
    If DMT
    A > DMTL → small decrease in i →Profit
    If DMT
    A < DMTL → small increase in i → Profit
    If DMT
    A < DMTL → small decrease in i→ Loss

    Please rectify if I'm wrong.
    Many Thanks.
     
    Sunil Sanga likes this.
  2. Duration is a measure of rate of change of assets or liabilities.
    So if the duration of assets is more than the liabilities, then there will be more impact on assets. i.e., if interest rate rises, PV of assets will have more impact ( it will fall more) than the PV of liabilities.
     
    Bharti Singla likes this.
  3. Bharti Singla

    Bharti Singla Senior Member

    Yes, I got what is written here in the solution. But, all the other cases which are listed above are also correct? Can we comment on whether the co. will make a profit or loss on the basis on DMTonly?
     
  4. John Lee

    John Lee ActEd Tutor Staff Member

    You need to think in terms of the surplus:
    PVsurplus = PVA - PVL

    Larger duration means it will be more affected by interest rates.

    So if interest rates fall PVA will rise more than PVL and we'll get a surplus.
    If interest rates rise PVA will fall more than PVL and we'll get a deficit.
     
  5. Bharti Singla

    Bharti Singla Senior Member

    ohk, got it. Thankyou sir.
     
    Sunil Sanga likes this.
  6. Nabil Janmohamed

    Nabil Janmohamed Keen member

    Hi,

    On Reddington's Immunization, If you calculated the values and got the results below and were told to recommend solutions to the client when:

    1. Duration of Liabilities > Duration of Assets
    2. Duration of Assets > Duration of Liabilities
    3. Convexity of Liabilities > Convexity of Assets
    What would you recommend?
     
  7. John Lee

    John Lee ActEd Tutor Staff Member

    Restructure the portfolio so they meet the conditions?
     
  8. Nabil Janmohamed

    Nabil Janmohamed Keen member

    Hi John,

    Thanks for your response, I agree with you. But how exactly will we restructure the portfolio? This is where I am stuck.
     

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