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Given the following information: The interest rate on RSA bonds: 8% The interest rate on US bonds: 6% Which one of the following statements is correct?

Economics

ScanSolve AI Answer

Answer

C\text{C}

To determine which statement is correct, we need to compare the expected returns on RSA bonds and US bonds, taking into account the interest rates and the expected change in the exchange rate.

The interest rate parity condition (or uncovered interest parity) states that the expected return on domestic assets should equal the expected return on foreign assets when expressed in the same currency. This can be approximated as:

idomestic≈iforeign+expected depreciation rate of domestic currencyi_{domestic} \approx i_{foreign} + \text{expected depreciation rate of domestic currency}

In this case, the domestic currency is the Rand (RSA) and the foreign currency is the Dollar (US).
Let iRSAi_{RSA} be the interest rate on RSA bonds and iUSi_{US} be the interest rate on US bonds.
Let ϵe\epsilon^e be the expected depreciation rate of the Rand against the Dollar. A positive ϵe\epsilon^e means the Rand is expected to depreciate, and a negative ϵe\epsilon^e means the Rand is expected to appreciate.

The condition for indifference between RSA and US bonds is:

iRSA=iUS+ϵei_{RSA} = i_{US} + \epsilon^e

If iRSA>iUS+ϵei_{RSA} > i_{US} + \epsilon^e, investors will prefer RSA bonds.
If iRSA<iUS+ϵei_{RSA} < i_{US} + \epsilon^e, investors will prefer US bonds.

Given information:

  • Interest rate on RSA bonds (iRSAi_{RSA}): 8%8\%
  • Interest rate on US bonds (iUSi_{US}): 6%6\%

Let's evaluate each option:

  • A, B, C. If the expected depreciation of the rand is 3%

    • Here, ϵe=3%\epsilon^e = 3\%.
    • We compare iRSAi_{RSA} with iUS+ϵei_{US} + \epsilon^e: 8%vs6%+3%8\% \quad \text{vs} \quad 6\% + 3\% 8%vs9%8\% \quad \text{vs} \quad 9\%
    • Since 8%<9%8\% < 9\%, the expected return on US bonds (in Rand terms) is higher than on RSA bonds. Therefore, financial market participants will buy US bonds.
    • Option A states they will buy RSA bonds, which is incorrect.
    • Option B states they will be indifferent, which is incorrect.
    • Option C states they will buy US bonds, which is correct.
  • D. If the expected appreciation of the rand is 3%

    • If the Rand is expected to appreciate by 3%, this means the expected depreciation rate of the Rand is −3%-3\%. So, ϵe=−3%\epsilon^e = -3\%.
    • We compare iRSAi_{RSA} with iUS+ϵei_{US} + \epsilon^e: 8%vs6%+(−3%)8\% \quad \text{vs} \quad 6\% + (-3\%) 8%vs3%8\% \quad \text{vs} \quad 3\%
    • Since 8%>3%8\% > 3\%, the expected return on RSA bonds is higher than on US bonds (in Rand terms). Therefore, financial market participants will buy RSA bonds.
    • Option D states they will buy US bonds, which is incorrect.

Based on the analysis, only statement C is correct.

The final answer is C\text{C}

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