Fight Finance

(a) $94.6187

(b) $90.1062

(c) $72.592

(d) $70.3185

(e) $53.1754

(a) Markets are weak-form efficient.

(b) Markets are semi-strong-form efficient.

(c) Past prices cannot be used to predict future prices.

(d) Past returns can be used to predict future returns.

(e) Stock prices reflect all publically available information.

Will the price of an out-of-the-money put option on equity or if the standard deviation of returns (risk) of the underlying shares becomes higher?

(a) Borrow $636.3636 and use it to buy 0.9091 ounces of gold right now (t=0). Then pay back the loan with $700 at the end (t=1).

(b) Borrow $700 and use it to buy 1 ounce of gold right now (t=0). Then pay back the loan with $770 at the end (t=1).

(c) Borrow $727.2727 and use it to buy 1 ounce of gold right now (t=0). Then pay back the loan with $800 at the end (t=1).

(d) Borrow $800 and use it to buy 1.1039 ounces of gold right now (t=0). Then pay back the loan with $880 at the end (t=1).

(e) Borrow $880 and use it to buy 1 ounce of gold right now (t=0). Then pay back the loan with $800 at the end (t=1).

(a) Under priced and should be bought.

(b) Under priced and should be sold.

(c) Over priced and should be bought.

(d) Over priced and should be sold.

(e) Fairly priced and an arbitrageur would be indifferent to buying or selling them.

(a)##-1 < \text{Red} < \infty## if Red is log-normally distributed.

(b) ##-2 < \text{Green} < 2## if Green is normally distributed.

(c) ##0 < \text{Blue} < \infty## if Blue is log-normally distributed.

(d) If the Green distribution is normal, then the mode = median = mean.

(e) If the Red and Blue distributions are log-normal, then the mode < median < mean.

(a) Future portfolio values have a log-normal distribution. The mean (expected or arithmetic average) portfolio value in one year is $115,603,957.

(b) The median (50th percentile) portfolio value in one year is $115,603,957.

(c) The 90% confidence interval of continuously compounded portfolio returns over the next year ##(r_{0 \rightarrow 1})## is ##-39.3456088\% < r_{0 \rightarrow 1} < 59.3456088\%##.

(d) The 90% confidence interval of portfolio values in one year ##(V_1)## is ##\$67,472,095 < V_1 < \$181,023,395##.

(e) The annual 95% relative VaR is $48,131,863 and the absolute VaR is $32,527,905.

(a) Alice has a net long position of 2 contracts.

(b) Bob has a net short position of 7 contracts.

(c) Chris has a net long position of 14 contracts.

(d) Delta has a net short position of 5 contracts

(e) Trading volume is 16 contracts and open interest is 16 contracts.

(a) The 3-month government bill yield is likely to be given as a simple interest rate.

(b) The 10-year government bond yield is likely to be given as an annualised percentage rate compounding every six months since Japanese government bonds pay semi-annual coupons.

(c) As 10-year government bond yields fell over the last few years, bond investors would have made capital gains assuming that the bonds are fixed-coupon.

(d) The Japanese yield curve is ‘inverse’ at the latest time in mid-2017.

(e) The Japanese central bank has been maintaining expansionary monetary policy over the last few years.

(a) Is the weighted average time that an asset’s cash flows are received.

(b) Is measured in units of time, usually years.

(c) Of a zero-coupon bond is equal to the bond’s maturity.

(d) Of a fixed-coupon-paying bond will be more than the bond’s maturity.

(e) Of a portfolio is an arithmetic average of the Macaulay durations of the assets in the portfolio, weighted by their prices.