question archive Yoshina makes an investment in the Australian equity market index using her own fund of $100,000 and a margin loan that provides $100,000

Yoshina makes an investment in the Australian equity market index using her own fund of $100,000 and a margin loan that provides $100,000

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Yoshina makes an investment in the Australian equity market index using her own fund of $100,000 and a margin loan that provides $100,000. The following table is prepared by Yoshina. If there is a 30% rise in her portfolio value, compute the net portfolio value and the loan to value (LVR) ratio for her geared portfolio. What is the rate of return of her investment with gearing? Initial Investment Borrowed Fund Portfolio Value Geared Portfolio 100,000 100,000 200,000 Ungeared Portfolio 100,000 0 100,000

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Ans. Net portfolio value = $200,000 + 30%*200,000

=200,000 + 60,000 = $260,000

Net portfolio value = $260,000

Loan to Value ration = Loan taken / appraised vaue = 100,000/260,000 = 38.46%

Rate of return = gain / money invested

=$60,000/$100,000

= 60%