A trader opens a long position in NVDA at a bid price of $50…

A trader opens a long position in NVDA at a bid price of $500, using $1,000 of their own capital and 50% margin. If, one year later, the price of NVDA is $475, what is the trader’s net payoff per dollar of capital? Assume the margin loan does not require interest.

Challenge You’re a derivatives trader, and your college frie…

Challenge You’re a derivatives trader, and your college friend Jordan tells you about a hedge fund they’re starting. Jordan promises a “[R0] percent per year return.” The fund has a [T]-year “lock-up,” meaning you must invest immediately and will receive your return in one lump sum at the end of [T] years. You invest $[PV], but then begin second-guessing yourself. As a derivatives trader, you assumed your friend meant continuous compounding, but they may have meant annual discrete compounding instead. How much less will you receive at the end of the lock-up if Jordan’s promised return was actually discrete rather than continuous? (Hint: your answer should be a positive number.) Enter your answer as a number of dollars, rounded to the nearest whole dollar. For $12,345.67, enter 12346.

A one-year Treasury bond pays a $2 coupon in six months and…

A one-year Treasury bond pays a $2 coupon in six months and $102 in one year (including the $100 face value and final coupon). The bond’s current market price is $100.25. A six-month T-strip with a $2 face value has a 4.00% annual yield, continuously compounded. A one-year T-strip with a $102 face value has a 4.50% annual yield, also continuously compounded. Using a T-strip replication portfolio strategy, what arbitrage profits can a trader earn?

Challenge You’re a derivatives trader, and your college frie…

Challenge You’re a derivatives trader, and your college friend Taylor tells you about a hedge fund they’re starting. Taylor promises a “[R0] percent per year return.” The fund has a [T]-year “lock-up,” meaning you must invest immediately and will receive your return in one lump sum at the end of [T] years. You invest $[PV], but then begin second-guessing yourself. As a derivatives trader, you assumed your friend meant continuous compounding, but they may have meant annual discrete compounding instead. How much less will you receive at the end of the lock-up if Taylor’s promised return was actually discrete rather than continuous? (Hint: your answer should be a positive number.) Enter your answer as a number of dollars, rounded to the nearest whole dollar. For $12,345.67, enter 12346.