# Returns calculations

*label*Business Finance

*timer*Asked: Jan 1st, 2018

*account_balance_wallet*$25

**Question description**

A new client, Dr. Bueller, has demonstrated a particular thirst for knowledge of stocks and bonds and has asked that you put together an example of these investments to illustrate how they work.

Calculate the returns on the following investments (include the US$ and percent) to illustrate how they work.

- A stock that does not pay a dividend of which you buy 100 shares for $25.00 per share and sell the 100 shares for $27.50 a year later. You pay the $50.00 commission when you sell the securities.
- A 5-year bond that you purchase for US$1,000 pays a 6% yearly rate. It is paid semiannually, and you hold the bond until maturity.
- The current yield on a bond that is priced at $89 has a 6% coupon.
- The yield-to-maturity (YTM) on a 7.25% ($1,000 par value) bond that has 10 years remaining to maturity, currently trading in the market at $825.
- The holding period return (HPR) for 1,000 shares of a no-load mutual fund currently selling at a NAV of $11, purchased a year ago at a NAV of $10.50/share, including $300 of distributed investment income dividends and capital gains dividends of $350.

After you have shared some basic information with Dr. Bueller about the different types of investments, he also wants you to explain the differences between the different types of bonds—from investment grade to high yield. Explain the various ratings that bonds can get and explain the two major rating agencies.

**Assignment Guidelines**

- Perform the 5 calculations listed in the Assignment Description.
- You must show all of your work as well as any formulas that you used.
- If you used Excel to arrive at your answers, then you must provide an explanation of your methodology.

- Next, answer the following questions for Dr. Bueller:
- What are the different types of investments a person can make?
- What are the differences between the various types of bonds?
- What do bond ratings indicate, and what 2 major agencies are in charge of assigning these ratings?

- Compile your calculations, Excel tables and explanations (if applicable), and your answers to the 3 questions above into a single Word document.

Your submitted assignment must include the following:

- A 3–4-page Word document (body of paper) that contains your 5 assignment calculations, any work you performed in Excel along with your explanations, and your answers to the 3 questions listed in the Assignment Guidelines

## Tutor Answer

I have attached the answer, kindly confirm , thank you:)

1. A stock that does not pay a dividend of which you buy 100 shares for $25.00 per share and sell the 100 s

commission when you sell the securities.

Answer:

Dollar return

Purchase value = 100*25

2500

Sell value = 100*27.50

=

2750

Commission =

50

Dollar return = Sell value - purchase value - commission

=

2750-2500-50

=

200

Percentage return = Dollar return / Purchase value

= 200 / 2500

8.00%

2. A 5-year bond that you purchase for US$1,000 pays a 6% yearly rate. It is paid semiannually, and you ho

Answer:

Dollar return

Coupon payment = Par value of bond * coupon rate /coupon payment frequency

Coupon payment = 1000 * 6%/2

30

Number of coupon payments = Coupon frequency * 2

10

Total dollar return = No. of coupon payments * Coupon payment

300

Percent return = 6% annual

3. The current yield on a bond that is priced at $89 has a 6% coupon

Answer:

Dollar Return:

Coupon Payment = Par Value of Bond * Coupon Rate / Coupon payment frequency

Coupon payment = 100* 6%

6

Current yield in dollars = Coupon payment = $6.00

Percent Return = Coupon payment / current price

$6.00/$89.00

Percent return

6.74%

4. The yield-to-maturity (YTM) on a 7.25% ($1,000 par value) bond that has 10 years remaining to matur

4. The yield-to-maturity (YTM) on a 7.25% ($1,000 par value) bond that has 10 years remaining to matur

Answer:

Dollar return

Coupon payment = Par value of bond * coupon rate /coupon ...

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