total: Total present value

In dynamicpv: Evaluates Present Values and Health Economic Models with Dynamic Pricing and Uptake

Total present value

Description

Sum of the Present Value, by time at which the calculation is performed (tzero input to dynpv())

Usage

total(df)

Arguments

df	Tibble of class "dynpv" created by dynpv() or futurepv()

Details

The Present Value of a cashflow p_k for the u_j patients who began treatment at time j and who are in their kth timestep of treatment is as follows

PV(j,k,l) = u_j \cdot p_k \cdot R_{j+k+l-1} \cdot (1+i)^{2-j-k}

where i is the risk-free discount rate per timestep, p_k is the cashflow amount in today’s money, and p_k \cdot R_{j+k+l-1} is the nominal amount of the cashflow at the time it is incurred, allowing for an offset of l = tzero.

The total present value by time at which the calculation is performed, TPV(l), is therefore the sum of PV(j,k,l) over all j and k within the time horizon T, namely:

TPV(l) = \sum_{j=1}^{T} \sum_{k=1}^{T-j+1} PV(j,k, l) \\ \; = \sum_{j=1}^{T} \sum_{k=1}^{T-j+1} u_j \cdot p_k \cdot R_{l+j+k-1} \cdot (1+i)^{2-j-k}

Value

A number or tibble

See Also

dynpv(), futurepv()

dynamicpv documentation built on Jan. 16, 2026, 1:07 a.m.