Answer: 1.222
Explanation:
The Average duration can be derived from the formula:
Assets * Average Duration = Liabilities * Duration of Liabilities
Average Duration = (Liabilities * Duration of Liabilities) / Assets
= (47,000,000 * 1.3) / 50,000,000
= 61,100,000 / 50,000,000
= 1.222
Answer:
Short 1.5 shares
Explanation:
Given data :
Risk free rate = 3%
current price ( market price ) = $25
Delta of 1-year at money European call on MCD = 0.5
<u>Determine how many shares of MCD John should either Long or short to achieve a delta-neutral </u>
use the relation below
4 * 0.5 + 1 ( 0.5 - 1 ) + x = 0
x ( number of shares ) = - [ 4 * 0.5 + 1 ( 0.5 - 1 ) ]
= - 1.5 shares
negative ( - ) means MCD should short 1.5 shares
Answer:
Balance after 30 years = $151,018.50
Explanation:
In order to calculate this, we will calculate the future value on an amount invested, gaining interest over the years of investment, and this is given by:

where:
FV = future value
PV = present value
r = interest rate
t = time in years.
Hence the future value is calculated as follows:
1. For the first 10 years at 7% interest:
7% interest = 7/100 = 0.07


2. For the last 20 years at 9.5%(0.095) interest:
Note that for the remaining 20 years, the present value (PV) used = 24,589.392, as ending balance after the first 10 years


Total Future value earned = $151,018.50
Answer:
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Explanation: