
Explanation:
According to the Arbitrage Pricing Theory (APT), the standard expected return is calculated as:
Where:
$1%$$3%$$1.3$$7%$Standard Expected Return = $1% + (-0.9 \times 3%) + (1.3 \times 7%) = 1% - 2.7% + 9.1% = 7.4%$
However, the analysts have specific expectations (shocks/unexpected changes) that differ from the market:
$100\text{ bps} = +1%$$50\text{ bps} = +0.5%$The revised return based on these specific macroeconomic expectations is:
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Q.52 The macroeconomic research department of a large investment bank uses the arbitrage pricing theory to set up its expectations on equity market performance in the next quarter. It uses the two-factor model based on the short-term interest rate level and the GDP growth rate. The risk-free rate is currently 1%.
| Factor Beta | Factor Risk Premium | |
|---|---|---|
| Short-term interest rate | –0.9 | 3% |
| GDP | 1.3 | 7% |
Although market participants do not expect any changes in interest rate, analysts at the bank are strongly confident that there will be an increase of 100 basis points. They also believe the GDP growth rate will beat market expectations by 50 basis points. Taking into account the expectations of the macroeconomic research department, what is the expected return on the equity market?
A
7.15%
B
7.25%
C
7.40%
D
8.30%