u: 3 billion discount 5 years at 10% discount rate

To find the present value (PV) of a future lump sum, use the formula:

[
PV = frac{FV}{(1 + r)^n}
]

where:
– (FV) = future value ($3 billion)
– (r) = discount rate (10% or 0.10)
– (n) = number of years (5)

Plugging in the numbers:

[
PV = frac{3,!000,!000,!000}{(1 + 0.10)^5} = frac{3,!000,!000,!000}{1.61051} approx 1,!863,!388,!142
]

So, the present value of $3 billion received in 5 years at a 10% discount rate is approximately **$1.86 billion**[4].