The jy company has a portfolio with a total market value of 600,000, of which 180,000 is allocated to ready asset money market fund, which is effectively risk free for practical purposes. The remaining 420,000 is invested in risky securities 226,800 in equities (E) and the balance in long-term bonds (B). The equities and bond holdings companies the Ricky portfolio. Determine: A. The equities and bond holdings composition of the risky portfolio B. The weight of the equity investment to the global portfolio C. The weight Of the risky portfolio, P,. In the complete portfolio, including risk-free and risky investments. D. The weight of each asset in the complete portfolio

Business/Management

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First, let's identify the given values:
Total market value of the complete portfolio = \600,000Valueofreadyassetmoneymarketfund(risk−free)= Value of ready asset money market fund (risk-free) =$180,000Valueofriskysecurities= Value of risky securities =$420,000Valueofequities(E)= Value of equities (E) =$226,800$

We need to calculate the value of long-term bonds (B):
Value of bonds (B) = Value of risky securities - Value of equities B=$420,000−$226,800=$193,200B = \$420,000 - \$226,800 = \$193,200

Now we can determine each part.

A) The equities and bond holdings composition of the risky portfolio.
The risky portfolio has a total value of \420,000$.

  1. Calculate the weight of equities in the risky portfolio.

    wE=Value of EquitiesTotal Value of Risky Portfolio=$226,800$420,000=0.54w_E = \frac{\text{Value of Equities}}{\text{Total Value of Risky Portfolio}} = \frac{\$226,800}{\$420,000} = 0.54

  2. Calculate the weight of bonds in the risky portfolio.

    wB=Value of BondsTotal Value of Risky Portfolio=$193,200$420,000=0.46w_B = \frac{\text{Value of Bonds}}{\text{Total Value of Risky Portfolio}} = \frac{\$193,200}{\$420,000} = 0.46 The composition of the risky portfolio is 54% equities and 46% bonds.

    B) The weight of the equity investment to the global portfolio.
    The global portfolio has a total market value of \600,000$.

  3. Calculate the weight of equity investment in the global portfolio.

    wEquity, Global=Value of EquitiesTotal Market Value=$226,800$600,000=0.378w_{\text{Equity, Global}} = \frac{\text{Value of Equities}}{\text{Total Market Value}} = \frac{\$226,800}{\$600,000} = 0.378 The weight of the equity investment to the global portfolio is 0.378 or 37.8%.

    C) The weight of the risky portfolio, P, in the complete portfolio, including risk-free and risky investments.
    The complete portfolio has a total market value of \600,000.Theriskyportfoliohasavalueof. The risky portfolio has a value of $420,000$.

  4. Calculate the weight of the risky portfolio in the complete portfolio.

    wP=Value of Risky PortfolioTotal Market Value=$420,000$600,000=0.70w_P = \frac{\text{Value of Risky Portfolio}}{\text{Total Market Value}} = \frac{\$420,000}{\$600,000} = 0.70 The weight of the risky portfolio in the complete portfolio is 0.70 or 70%.

    D) The weight of each asset in the complete portfolio.
    The complete portfolio has a total market value of \600,000$. The assets are risk-free, equities, and bonds.

  5. Calculate the weight of the risk-free asset in the complete portfolio.

    wRisk-Free=Value of Risk-Free AssetTotal Market Value=$180,000$600,000=0.30w_{\text{Risk-Free}} = \frac{\text{Value of Risk-Free Asset}}{\text{Total Market Value}} = \frac{\$180,000}{\$600,000} = 0.30

  6. Calculate the weight of equities in the complete portfolio.

    wEquities=Value of EquitiesTotal Market Value=$226,800$600,000=0.378w_{\text{Equities}} = \frac{\text{Value of Equities}}{\text{Total Market Value}} = \frac{\$226,800}{\$600,000} = 0.378

  7. Calculate the weight of bonds in the complete portfolio.

    wBonds=Value of BondsTotal Market Value=$193,200$600,000=0.322w_{\text{Bonds}} = \frac{\text{Value of Bonds}}{\text{Total Market Value}} = \frac{\$193,200}{\$600,000} = 0.322 The weights of each asset in the complete portfolio are:
    Risk-free asset: 0.30 or 30%
    Equities: 0.378 or 37.8%
    Bonds: 0.322 or 32.2%

    Summary of results:
    A. The equities and bond holdings composition of the risky portfolio:
    Equities: 0.54\boxed{\text{0.54}}
    Bonds: 0.46\boxed{\text{0.46}}
    B. The weight of the equity investment to the global portfolio: 0.378\boxed{\text{0.378}}
    C. The weight of the risky portfolio, P, in the complete portfolio: 0.70\boxed{\text{0.70}}
    D. The weight of each asset in the complete portfolio:
    Risk-free asset: 0.30\boxed{\text{0.30}}
    Equities: 0.378\boxed{\text{0.378}}
    Bonds: 0.322\boxed{\text{0.322}}

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