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notka56 [123]
3 years ago
8

6. In 2008, the exchange rate between the US dollar and New Zealand dollar was NZ$1.71/$; in 2009, the exchange rate between the

US dollar and New Zealand dollar was NZ$1.37/$. Suppose the one year interest rate in New Zealand was 9.1%, and the rate in US was 4.2%. Can you conduct a currency carry trade with positive profit? How?
Business
1 answer:
Naddika [18.5K]3 years ago
6 0

Answer:

No, a currency carry trade with positive profit can not be conducted.

Explanation:

The currency carry trade is the trading strategy where investor funding from lower-yield currency to invest in higher-yield currency with expectation to earn positive profit from the yield differences between the two currencies.

However, this strategy only works when the difference is big enough to compensate for the depreciation ( if any) of the higher-yield currency against the lower-yield currency.

With the given information, the strategy will not work because the depreciation of NZ$ against US$ after one-year is too big to be compensated for the yield difference.

For specific example, suppose the strategy is conducted, in 2008, an investor will borrow, for example, US$1 at 4.2%, exchange it to NZ$1.71. Then, invest NZ$1.71 at 9.1%.

In 2019, an investor will get NZ$1.86561 (1.71 x 1.091). The, he/she exchanges at the 2019 exchange rate, for US$1.36176 (1.86561 / 1.37). While at the same time, he will have to pay back 1 x 1.042 = US$1.042 => The loss making in US$ is US$0.32.

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Arbor Systems and Gencore stocks both have a volatility of 33%. Compute the volatility of a portfolio with 50% invested in each
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Answer:

<h3>In case of b, c, d ,e volatility is less than that of original stock</h3>

Explanation:

The formula to compute the volatility of a portfolio

=\sqrt{W_1^2\sigma_1^2+W_2^2\sigma_2^2+2W_1W_2\sigma_1\sigma_2*c}

Here,

The standard deviation of the first stock is σ₁

The standard deviation of the second stock is σ₂

The weight of the first stock W₁

The weight of the second stock W₂

The correlation between the stock c

a) If the correlation between the stock is +1

=\sqrt{W_1^2\sigma_1^2+W_2^2\sigma_2^2+2W_1W_2\sigma_1\sigma_2*c}

=\sqrt{(0.5\times0.33)^2+(0.5\times0.33)^2+(2\times(0.5\times 0.33)\times(0.5\times0.33)\times1} \\\\=0.33

Hence, the volatility of the portfolio is 0.33 0r 33%

b) If the correlation between the stock is 0.50

=\sqrt{W_1^2\sigma_1^2+W_2^2\sigma_2^2+2W_1W_2\sigma_1\sigma_2*c}

=\sqrt{(0.5\times0.33)^2+(0.5\times0.33)^2+(2\times(0.5\times 0.33)\times(0.5\times0.33)\times0.5} \\\\=0.29

Hence, the volatility of the portfolio is 0.29 0r 29%

c) If the correlation between the stock is 0.00

=\sqrt{W_1^2\sigma_1^2+W_2^2\sigma_2^2+2W_1W_2\sigma_1\sigma_2*c}

=\sqrt{(0.5\times0.33)^2+(0.5\times0.33)^2+(2\times(0.5\times 0.33)\times(0.5\times0.33)\times0.0} \\\\=0.23

Hence, the volatility of the portfolio is 0.23 0r 23%

d) If the correlation between the stock is -0.50

=\sqrt{W_1^2\sigma_1^2+W_2^2\sigma_2^2+2W_1W_2\sigma_1\sigma_2*c}

=\sqrt{(0.5\times0.33)^2+(0.5\times0.33)^2+(2\times(0.5\times 0.33)\times(0.5\times0.33)\times-0.5} \\\\=0.17

Hence, the volatility of the portfolio is 0.17 or 17%

e) If the correlation between the stock is -1

=\sqrt{W_1^2\sigma_1^2+W_2^2\sigma_2^2+2W_1W_2\sigma_1\sigma_2*c}

=\sqrt{(0.5\times0.33)^2+(0.5\times0.33)^2+(2\times(0.5\times 0.33)\times(0.5\times0.33)\times-1} \\\\=0

Hence, the volatility of the portfolio is 0

<h3>In case of b, c, d ,e volatility is less than that of original stock</h3>

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Answer:

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