You are considering the purchase of a electric bike to get you to and from your classes. You estimate the purchase price to be $$740.$ Maintenance costs are expected to be $$100$ per year for the next $4$ years. You will also need to replace the battery and tires after $2$ years of operation at a cost of $$500.$ After $4$ years of use, you think you can sell the electric bike to your younger sibling for $$90.$

Alternatively, you could lease a comparable bike for the next four years and all maintenance and replacement parts would be included in the annual lease cost. Assume the lease payment is due at the beginning of each year.

Draw a cash flow diagram of the two alternatives.

Determine the magnitude of the beginning of year lease payment that is equivalent to the purchasing option. Assume you can earn $5\%$ per year on your money.