Risk Neutral Valuation
About the Lecture
The lecture Risk Neutral Valuation by Edu Pristine is from the course Archiv - Financial Markets and Products. It contains the following chapters:
- Risk Neutral Valuation
- Change in future stock price
- Generalizing Binomial Method
Author of lecture Risk Neutral Valuation
Edu Pristine
Customer reviews
5,0 of 5 stars
| 5 Stars |
|
5 |
| 4 Stars |
|
0 |
| 3 Stars |
|
0 |
| 2 Stars |
|
0 |
| 1 Star |
|
0 |
Excerpts from the accompanying material
... cash flow under the assumption that investors are indifferent to risk. Step 2: Discount the expected cash flow at the risk-free rate to arrive at the present value. In our example, since the risk-free rate for six months is 2%, and investors are indifferent ...
... price decreasing by USD 10 is 70%. What are the mean and standard deviation of the price after 2 months ...
... Mean = 9% (120) + 42% (100) + 49% (80) = 92 ...
... = time interval as fraction of year.In our example, standard deviation of stock returns, ... = 40.6 9%, h = 0.5 - u= e0.4069?0.5 = 1.3333, => upside change = 33% - d= 1/u = 1/1.3333 = 0.75 ...
... the time intervals so that the calculations can allow for greater number of values for the asset price at expiration. In our example if we allowed the stock to take values at the end of three months, we would have three values at the end of six months: ...
... The plot above reflects the log-normal distribution of stock prices. It can take any value between 0 and infinity. The fact that the stock price can never fall by more than 100 percent, but that there is a small chance that it could rise by much ...
... The value of put therefore is: Value of put = -0.4286 shares + PV( Rs. 48.57) (safe loan) ...
... Expected return = [probability of rise * 33.33] + [( 1- probability of rise) * (-25)] = 2.0 percent • Therefore the probability of rise, p, = 0.463 or 46.3% Expected future value of the call option after six months is given by [Probability]. ...
... The monthly risk neutral probability of the price increasing by USD 10 is 30%. ...
... Upside change = u = e σ√h • 1 + downside change = d = 1/ u– Where, e = base of natural logarithms = 2.718 – σ = standard deviation of (continuously compounded) stock returns. ...
... To work out the equivalent upside and downside changes when we divide the period into two three-month intervals (h = 0.25), we use the same formula: • 1 + upside change (3 months interval) = u = e 0.4069√0.25 = 1.226,=> upside change = 22.6% • 1 + downside change. ...
