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emmainna [20.7K]
3 years ago
11

You are considering investing in a European bank account that pays a nominal annual rate of 18%, compounded monthly.

Business
1 answer:
kumpel [21]3 years ago
6 0

Answer:

d. 38

Explanation:

This is an Annuity Due type of question. You get the hint from the statement "....$5,000 at the <u>beginning</u> of each month," In an Annuity due , the recurring payments occur at the beginning of the period i.e annually, quarterly or (monthly in this case)

So using a financial calculator on "BGN" mode

nominal rate of 18% is the I/Y. However, since it is monthly compounded, convert it to a monthly rate.

I/Y = 18%/12 = 1.5%

PMT; recurring cashflow = -5,000

FV; future value = 250,000

PV ;present value = 0 (note: in annuity, use 0 for the variable not given)

then CPT N = 37.16

Therefore, it will take approximately 38 months

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Answer:

The 1-year HPR for the second stock is <u>12.84</u>%. The stock that will provide the better annualized holding period return is <u>Stock 1</u>.

Explanation:

<u>For First stock </u>

Total dividend from first stock = Dividend per share * Number quarters = $0.32 * 2 = $0.64

HPR of first stock = (Total dividend from first stock + (Selling price after six months - Initial selling price per share)) / Initial selling price = ($0.64 + ($31.72 - $27.85)) / $27.85 = 0.1619, or 16.19%

Annualized holding period return of first stock = HPR of first stock * Number 6 months in a year = 16.19% * 2 = 32.38%

<u>For Second stock </u>

Total dividend from second stock = Dividend per share * Number quarters = $0.67 * 4 = $2.68

Since you expect to sell the stock in one year, we have:

Annualized holding period return of second stock = The 1-year HPR for the second stock = (Total dividend from second stock + (Selling price after six months - Initial selling price per share)) / Initial selling price = ($2.68+ ($36.79 - $34.98)) / $34.98 = 0.1284, or 12.84%

Since the Annualized holding period return of first stock of 32.38% is higher than the Annualized holding period return of second stock of 12.84%. the first stock will provide the better annualized holding period return.

The 1-year HPR for the second stock is <u>12.84</u>%. The stock that will provide the better annualized holding period return is <u>Stock 1</u>.

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