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A portfolio consists of the following instruments: 3 bonds with a face value of 2 0 0 , paying an annual coupon of 5 semiannually
A portfolio consists of the following instruments:
bonds with a face value of paying an annual coupon of semiannually
that is due to mature in months time. Assume the original term of the bond
was years.
forward contract to buy an investment vehicle, currently worth years
from now that provides an income equivalent to a continuous dividend yield at
the nominal rate of pa
European Call Option on some stock with the strike price is and an
expiry of months. The spot price of the underlying asset is and the
volatility in the market is
Suppose that month, month, month, and month and month zero
rates are and per annum with continuous compounding
respectively.
a Calculate the value of the portfolio you may wish to write some python or
excel code to accomplish this
b Calculate the yield to maturity of the bond if it had been purchased for
just after the second coupon payment.
c If the interest rates shift upwards and downwards by calculate the new
value of the portfolio This is much easier if you wrote some code to calculate
the value of the portfolio in the previous part
d Calculate the for this portfolio; and the for the option.
e Explain briefly in no more than a few sentences how you would hedge this
portfolio against making a large loss.
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