Question: The condition known as put-call parity restricts the relationship between the value of an asset, put and call options written on that asset, and the
The condition known as "put-call parity" restricts the relationship between the value of an asset, put and call options written on that asset, and the value of a riskless (zero-coupon) bond with a face value equal to the common exercise price of the corresponding call and put options. This condition is not only fundamental to the pricing of options, but also to understanding the relationship between the value of a leveraged asset and equity and debt claims on that asset. A famous proposition in financial economics, proffered by the economists Modigliani and Miller, essentially restates put-call parity in the following terms: "In an efficient set of financial markets, the following equality is always satisfied at any date t:
Vt = Et + Dt
where, at any such date t, Vt denotes
the market value of the property, E denotes the market value of the equity
claim on that property, and D denotes the market value of the corresponding
value of the risky mortgage (debt claim) on that property.
b) Can you define, under the conditions assumed by Modigliani and Miller, the value of risky debt in terms of the value of riskless debt and at least one other term in the put-call parity expression? What term or terms are those?
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