"Royal Bank currently sells transactional products through

its branch network. Royal Bank is considering switching to

using digital channels exclusively. At the moment, 5% of the

branch accounts close at the end of the year they are

booked, but then the remainder stay active for the next 2

years.

Accounts booked through digital channels are significantly

less loyal; 30% close at the end of first year after being

opened. 10% of those who remain after year 1 will close at

the end of year 2, and then the remainder stay active after

that.

The branch network currently sells 500,000

accounts a year at a cost of R2,500 per

account sold and then each account

generates R150 revenue per month while on

book. The digital channel currently sells 1

million accounts a year at a cost of R150 per

account and then each account generates

R50 revenue per month.

Which channel is more valuable to the bank

over the next 3 years? Assume all sales happen

on day 1 of each year."

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