Question list Question 1 O Question 2 O Question 3 Question 4 Question 5 O Question 6 O Question 7 K Sara Sanders purchased 30 shares of Apple stock at $190.41 per share using the prevailing minimum initial margin requirement of 50%. She held the stock for exactly 6 months and sold it without any brokerage costs at the end of that period. During the 6-month holding period, the stock paid $1.45 per share in cash dividends. Sara was charged 4.1% annual interest on the margin loan. The minimum maintenance margin was 25%. a. Calculate the initial value of the transaction, the debit balance, and the equity position on Sara's transaction. b. For each of the following share prices, calculate the actual margin percentage, and indicate whether Sara's margin account would have excess equity, would be restricted, or would be subject to a margin call: (1) $174.45, (2) $206.67, and (3) $121.31. c. Calculate the dollar amount of (1) dividends received and (2) interest paid on the margin loan during the 6-month holding period. d. Use each of the following sale prices at the end of the 6-month holding period to calculate Sara's annualized rate of return on the Apple stock transaction: (1) $184.42, (2) $194.84, and (3) $205.64. a. The initial value of the transaction is $. (Round to the nearest cent.) The debit balance is $. (Round to the nearest cent.) The equity position is $. (Round to the nearest cent.) b. (1) If the share price falls to $174.45, the actual margin percentage will be %. (Round to two decimal places.) (Select from the drop-down menu.) (2) If the share price rises to $206.67, the actual margin percentage will be %. (Round to two decimal places.) (Select from the drop-down menu.) (3) If the share price falls to $121.31, the actual margin percentage will be%. (Round to two decimal places.) (Select from the drop-down menu.) c. (1) During the 6-month holding period, the dividends received are $. (Round to the nearest cent.) The account in this case. The account in this case The account in this case

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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**Sara Sanders purchased 30 shares of Apple stock at $190.41 per share using the prevailing minimum initial margin requirement of 50%. She held the stock for exactly 6 months and sold it without any brokerage costs at the end of that period. During the 6-month holding period, the stock paid $1.45 per share in cash dividends. Sara was charged 4.1% annual interest on the margin loan. The minimum maintenance margin was 25%.**

**Tasks:**

a. **Calculate the initial value of the transaction, the debit balance, and the equity position on Sara’s transaction.**

   - The initial value of the transaction is $____. (Round to the nearest cent.)
   - The debit balance is $____. (Round to the nearest cent.)
   - The equity position is $____. (Round to the nearest cent.)

b. **For each of the following share prices, calculate the actual margin percentage, and indicate whether Sara’s margin account would have excess equity, would be restricted, or would be subject to a margin call:**

   (1) $174.45, (2) $206.67, and (3) $121.31.
   
   - (1) If the share price falls to $174.45, the actual margin percentage will be ____%. (Round to two decimal places.)
     - The account in this case [Select from the drop-down menu].
   
   - (2) If the share price rises to $206.67, the actual margin percentage will be ____%. (Round to two decimal places.)
     - The account in this case [Select from the drop-down menu].
   
   - (3) If the share price falls to $121.31, the actual margin percentage will be ____%. (Round to two decimal places.)
     - The account in this case [Select from the drop-down menu].

c. **(1) During the 6-month holding period, the dividends received are $____. (Round to the nearest cent.)**

d. **Use each of the following sale prices at the end of the 6-month holding period to calculate Sara’s annualized rate of return on the Apple stock transaction:**

   (1) $184.42, (2) $194.84, and (3) $205.64.
Transcribed Image Text:**Sara Sanders purchased 30 shares of Apple stock at $190.41 per share using the prevailing minimum initial margin requirement of 50%. She held the stock for exactly 6 months and sold it without any brokerage costs at the end of that period. During the 6-month holding period, the stock paid $1.45 per share in cash dividends. Sara was charged 4.1% annual interest on the margin loan. The minimum maintenance margin was 25%.** **Tasks:** a. **Calculate the initial value of the transaction, the debit balance, and the equity position on Sara’s transaction.** - The initial value of the transaction is $____. (Round to the nearest cent.) - The debit balance is $____. (Round to the nearest cent.) - The equity position is $____. (Round to the nearest cent.) b. **For each of the following share prices, calculate the actual margin percentage, and indicate whether Sara’s margin account would have excess equity, would be restricted, or would be subject to a margin call:** (1) $174.45, (2) $206.67, and (3) $121.31. - (1) If the share price falls to $174.45, the actual margin percentage will be ____%. (Round to two decimal places.) - The account in this case [Select from the drop-down menu]. - (2) If the share price rises to $206.67, the actual margin percentage will be ____%. (Round to two decimal places.) - The account in this case [Select from the drop-down menu]. - (3) If the share price falls to $121.31, the actual margin percentage will be ____%. (Round to two decimal places.) - The account in this case [Select from the drop-down menu]. c. **(1) During the 6-month holding period, the dividends received are $____. (Round to the nearest cent.)** d. **Use each of the following sale prices at the end of the 6-month holding period to calculate Sara’s annualized rate of return on the Apple stock transaction:** (1) $184.42, (2) $194.84, and (3) $205.64.
### Question 6

#### (3) If the share price falls to $121.31, the actual margin percentage will be ____ %. 
- *(Round to two decimal places.)*

The account in this case ____.
- *(Select from the drop-down menu.)*

#### c. (1) During the 6-month holding period, the dividends received are $____. 
- *(Round to the nearest cent.)*

(2) During the 6-month holding period, the interest paid is $____. 
- *(Round to the nearest cent.)*

#### d. (1) If the sale price at the end of the 6-month holding period is $184.42, then Sara's annualized rate of return is ____ %. 
- *(Round to two decimal places. Enter a negative return as a negative number.)*

(2) If the sale price at the end of the 6-month holding period is $194.84, then Sara's annualized rate of return is ____ %. 
- *(Round to two decimal places. Enter a negative return as a negative number.)*

(3) If the sale price at the end of the 6-month holding period is $205.64, then Sara's annualized rate of return is ____ %. 
- *(Round to two decimal places. Enter a negative return as a negative number.)*
Transcribed Image Text:### Question 6 #### (3) If the share price falls to $121.31, the actual margin percentage will be ____ %. - *(Round to two decimal places.)* The account in this case ____. - *(Select from the drop-down menu.)* #### c. (1) During the 6-month holding period, the dividends received are $____. - *(Round to the nearest cent.)* (2) During the 6-month holding period, the interest paid is $____. - *(Round to the nearest cent.)* #### d. (1) If the sale price at the end of the 6-month holding period is $184.42, then Sara's annualized rate of return is ____ %. - *(Round to two decimal places. Enter a negative return as a negative number.)* (2) If the sale price at the end of the 6-month holding period is $194.84, then Sara's annualized rate of return is ____ %. - *(Round to two decimal places. Enter a negative return as a negative number.)* (3) If the sale price at the end of the 6-month holding period is $205.64, then Sara's annualized rate of return is ____ %. - *(Round to two decimal places. Enter a negative return as a negative number.)*
Expert Solution
Step 1: Calculation of the initial value of the transaction, debit balance, and equity position

(a) Calculation showing the initial value of the transaction:

table row cell Initial space value end cell equals cell Number space of space shares space purchased cross times Purchase space price space per space share end cell row blank equals cell 30 cross times $ 190.41 end cell row blank equals cell $ 5712.3 end cell end table

Calculation showing the debit balance:

table row cell Debit space balance end cell equals cell Initial space value cross times open parentheses 1 space minus space Minimum space Initial space Margin space Requirement close parentheses end cell row blank blank cell $ 5712.3 cross times open parentheses 1 minus 50 percent sign close parentheses end cell row blank equals cell $ 2856.15 end cell end table

Calculation showing the equity position:

table row cell Equity space Position end cell equals cell Initial space value minus Debit space balance end cell row blank blank cell $ 5712.3 minus $ 2856.15 end cell row blank equals cell $ 2856.15 end cell end table

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