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SophieZ · 2023年07月26日

这里汇率带来的EUR资产升职,导致EUR资产的比例超过原来的比例,不需要考虑调整吗?

NO.PZ2022123002000036

问题如下:

Alex Duhamel, a CFA Level III candidate, is an investment manager at Nashua Investment Associates Ltd. (Nashua). Duhamel specializes in portfolio management and is responsible for conducting annual reviews with clients.

Duhamel begins to review the portfolio of Hannah Duffi, a US resident. Duffi’s portfolio is invested in American and European securities. On January 1, 2019, Duffi had a portfolio of USD 50 million and EUR 50 million allocated between stocks and bonds as shown in Exhibit 1. The exchange rate on January 1, 2019, was 1.1 USD/EUR.

Exhibit 1 Hannah Duffi’s Portfolio on January 1, 2019

On January 1, 2020, the value of Duffi’s European portfolio increased from EUR 50 million to EUR 54 million, with EUR 20 million in stocks and EUR 34 million in bonds. The current USD/EUR exchange rate as of January 1, 2020, is 1.16. The Euro index futures contract is priced at EUR 700, has a multiplier of 10 and a beta is 1.0. Duffi decides to use futures contracts to rebalance the European portfolio to the allocation that existed on January 1, 2019.

The number of stock index futures contracts Duffi should use to rebalance Duffi’s portfolio is closest to:

选项:

A.

Buy 199 Euro index futures

B.

Sell 262 Euro index futures

C.

Buy 263 Euro index futures

解释:

Correct Answer: C

Hannah Duffi’s Portfolio on January 1, 2019

Hannah Duffi’s Portfolio on January 1, 2020

To synthetically rebalance EUR 1.6 million into the European equity portfolio with a beta of 1.15 using Euro index futures contracts, Duhamel will need to buy:

NSf = {(βT – βS)/βf} × {S / (fs × m)}

where:
NSf = number of Euro index futures contracts
βT = target beta (1.15)
βS = beta of synthetic cash (0) from the presumed sale of European bonds
βf = futures beta (1.0)
S = market value of equity position ($1,600,000)
fs = Euro index futures contract price (700)
m = multiplier (10)
Number of futures to buy = {(1.15 – 0) / 1.0} × {$1,600,000 / (700 × 10)}= 262.857

Duhamel should buy 263 Euro index futures contracts.

这里汇率带来的EUR资产升职,导致EUR资产的比例超过原来的比例,不需要考虑调整吗?

1 个答案

pzqa31 · 2023年07月26日

嗨,努力学习的PZer你好:


如果题干条件里没提到,题目也没有问到就不用考虑。

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加油吧,让我们一起遇见更好的自己!

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