Problem #$4(2$ pts$)$: For the following cash flows, calculate the Present Worth at interest rate of

$10\%.$

Problem #$5(2$ pts$)$: A UK lottery prize pays $10,000$ at the end of the first year, $11,000$ at the end

of the second year, $12,000$ at the end of the third year, and so on for $20$ years. If this is the only

prize in a lottery, $100,000$ tickets are sold, and you could invest your money elsewhere at $8\%$

interest rate $($compounded annually$),$ how much is each ticket worth, on average?