Are my retirement 5 year buy in calculations correct?

Assumptions .
Age 44.
Retirement at 55.
Cost of buying 5 extra years toward retirement ~50,000*.

Current yearly pay ~ $65,000.
5 years extra retirement benefit x 10%.
Current benefit $6,500.

Years to retirement (55) 11.
Future value of benefit with 2% COLA
and 10 years compounding ~$8,000.

Conservative investment comparison.
A) $8,000 a year with 2% COLA for 20
years (age 75) @ discount rate of 11% ~$87,000.
Present worth of $87,000 in 11 year @ 5% ~$50,000*.
Added value $37,000.
Rate of Return 5.04%.

Aggressive investment comparison.
B) $8,000 a year with 2% COLA for 20.
years (age 75) @ discount rate of 6.5% ~$157,000.

Present worth of $157,000 in 11 year @ 10.5% ~$50,000*.
Added value $107,000.
Rate of Return10.45%.

Average Rate of Return 7.75%.

Correct.

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