Sara Sanders purchased 50 shares of Apple stock at $190.64 per share using the prevailing minimum initial margin requirement of 55%. She held the stock for exactly 5 months and sold it without any brokerage costs at the end of that period. During the 5​-month holding​ period, the stock paid $1.43 per share in cash dividends. Sara was charged 4.5% 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) $174.91​, ​(2) $207.69​, and​ (3) $122.18. c. Calculate the dollar amount of​ (1) dividends received and​ (2) interest paid on the margin loan during the 5​-month holding period. d. Use each of the following sale prices at the end of the 5​-month holding period to calculate​ Sara's annualized rate of return on the Apple stock​ transaction: ​(1) $184.14​, ​(2) $195.91​, and​ (3) $206.24.

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
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Sara Sanders purchased
50
shares of Apple stock at
$190.64
per share using the prevailing minimum initial margin requirement of
55%.
She held the stock for exactly
5
months and sold it without any brokerage costs at the end of that period. During the
5​-month
holding​ period, the stock paid
$1.43
per share in cash dividends. Sara was charged
4.5%
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)
$174.91​,
​(2)
$207.69​,
and​ (3)
$122.18.
c. Calculate the dollar amount of​ (1) dividends received and​ (2) interest paid on the margin loan during the
5​-month
holding period.
d. Use each of the following sale prices at the end of the
5​-month
holding period to calculate​ Sara's annualized rate of return on the Apple stock​ transaction:
​(1)
$184.14​,
​(2)
$195.91​,
and​ (3)
$206.24.
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